Paul Lim's Books

Amazing and Aesthetic Aspects of Analysis

By: Paul Loya

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Amazing and Aesthetic Aspects of Analysis

By: Paul Loya

Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter: the interconnections between set theory and mathematical statements and proofs; the fundamental axioms of the natural, integer, and real numbers; rigorous ε-N and ε-δ definitions; convergence and properties of an infinite series, product, or continued fraction; series, product, and continued fraction formulæ for the various elementary functions and constants. Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.

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730

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Springer

Published Date

ISBN 10

1493967959

ISBN 13

9781493967957

An Introduction to Analysis

By: Gerald Bilodeau,Paul Thie,G. E. Keough

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An Introduction to Analysis

By: Gerald Bilodeau,Paul Thie,G. E. Keough

This book presents a concise and sharpley focused introduction to the basic concepts of analysis - from the development of real numbers through uniform convergences of a sequence of functions - and includes coverage both of the analysis of functions of more than one variable and of differential equations. Examples and figures are used extensively to assist the reader in understanding the concepts and then applying them.

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350

Publisher

Jones & Bartlett Learning

Published Date

ISBN 10

0763774928

ISBN 13

9780763774929

Calculus Without Derivatives

By: Jean-Paul Penot

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Calculus Without Derivatives

By: Jean-Paul Penot

Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.

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541

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461445388

ISBN 13

9781461445388

Clinical Anesthesia, 8e: eBook without Multimedia

By: Paul G. Barash

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Clinical Anesthesia, 8e: eBook without Multimedia

By: Paul G. Barash

Where experts turn for definitive answers! Clinical Anesthesia covers the full spectrum of clinical issues and options in anesthesiology, providing insightful coverage of pharmacology, physiology, co-existing diseases, and surgical procedures. Unmatched in its clarity and depth of coverage as well as its robust multimedia features, this classic clinical reference brings you the very latest essential knowledge in the field, equipping you to effectively apply today’s standards of care and make optimal clinical decisions on behalf of your patients.

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5197

Publisher

Lippincott Williams & Wilkins

Published Date

ISBN 10

1496337018

ISBN 13

9781496337016

Mathematics Higher Level for the IB Diploma Option Topic 9 Calculus

By: Paul Fannon,Vesna Kadelburg,Ben Woolley,Stephen Ward

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Mathematics Higher Level for the IB Diploma Option Topic 9 Calculus

By: Paul Fannon,Vesna Kadelburg,Ben Woolley,Stephen Ward

This title forms part of the completely new Mathematics for the IB Diploma series. This highly illustrated book covers topic 9 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Calculus. It is also for use with the further mathematics course. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a dedicated chapter exclusively for mixed examination practice; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes throughout of exam hints and tips.

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187

Publisher

Cambridge University Press

Published Date

ISBN 10

1107632897

ISBN 13

9781107632899

Understanding Real Analysis

By: Paul Zorn

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Understanding Real Analysis

By: Paul Zorn

Understanding Real Analysis, Second Edition offers substantial coverage of foundational material and expands on the ideas of elementary calculus to develop a better understanding of crucial mathematical ideas. The text meets students at their current level and helps them develop a foundation in real analysis. The author brings definitions, proofs, examples and other mathematical tools together to show how they work to create unified theory. These helps students grasp the linguistic conventions of mathematics early in the text. The text allows the instructor to pace the course for students of different mathematical backgrounds. Key Features: Meets and aligns with various student backgrounds Pays explicit attention to basic formalities and technical language Contains varied problems and exercises Drives the narrative through questions

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336

Publisher

CRC Press

Published Date

ISBN 10

1315315076

ISBN 13

9781315315072

Automatic Sequences

Theory, Applications, Generalizations

By: Jean-Paul Allouche,Jeffrey Shallit

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Automatic Sequences

Theory, Applications, Generalizations

By: Jean-Paul Allouche,Jeffrey Shallit

Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first integrated treatment of sequences generated by 'finite automata'. The authors apply the theory to the study of automatic sequences and their generalizations, such as Sturmian words and k-regular sequences. And further, they provide applications to number theory (particularly to formal power series and transcendence in finite characteristic), physics, computer graphics, and music. Starting from first principles wherever feasible, basic results from combinatorics on words, numeration systems, and models of computation are discussed. Thus this book is suitable for graduate students or advanced undergraduates, as well as for mature researchers wishing to know more about this fascinating subject. Results are presented from first principles wherever feasible, and the book is supplemented by a collection of 460 exercises, 85 open problems, and over 1600 citations to the literature.

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592

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Cambridge University Press

Published Date

ISBN 10

0521823323

ISBN 13

9780521823326

Probability for Applications

By: Paul E. Pfeiffer

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Probability for Applications

By: Paul E. Pfeiffer

Objecti'ves. As the title suggests, this book provides an introduction to probability designed to prepare the reader for intelligent and resourceful applications in a variety of fields. Its goal is to provide a careful exposition of those concepts, interpretations, and analytical techniques needed for the study of such topics as statistics, introductory random processes, statis tical communications and control, operations research, or various topics in the behavioral and social sciences. Also, the treatment should provide a background for more advanced study of mathematical probability or math ematical statistics. The level of preparation assumed is indicated by the fact that the book grew out of a first course in probability, taken at the junior or senior level by students in a variety of fields-mathematical sciences, engineer ing, physics, statistics, operations research, computer science, economics, and various other areas of the social and behavioral sciences. Students are expected to have a working knowledge of single-variable calculus, including some acquaintance with power series. Generally, they are expected to have the experience and mathematical maturity to enable them to learn new concepts and to follow and to carry out sound mathematical arguments. While some experience with multiple integrals is helpful, the essential ideas can be introduced or reviewed rather quickly at points where needed.

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684

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Springer Science & Business Media

Published Date

ISBN 10

1461576768

ISBN 13

9781461576761

Cohomology Theories for Compact Abelian Groups

By: Karl H. Hofmann,Paul S. Mostert

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Cohomology Theories for Compact Abelian Groups

By: Karl H. Hofmann,Paul S. Mostert

Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be "abelian". Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two.

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235

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Springer Science & Business Media

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ISBN 10

3642806708

ISBN 13

9783642806704

A History of Babylon, 2200 BC - AD 75

By: Paul-Alain Beaulieu

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A History of Babylon, 2200 BC - AD 75

By: Paul-Alain Beaulieu

Provides a new narrative history of the ancient world, from the beginnings of civilization in the ancient Near East and Egypt to the fall of Constantinople Written by an expert in the field, this book presents a narrative history of Babylon from the time of its First Dynasty (1880-1595) until the last centuries of the city’s existence during the Hellenistic and Parthian periods (ca. 331-75 AD). Unlike other texts on Ancient Near Eastern and Mesopotamian history, it offers a unique focus on Babylon and Babylonia, while still providing readers with an awareness of the interaction with other states and peoples. Organized chronologically, it places the various socio-economic and cultural developments and institutions in their historical context. The book also gives religious and intellectual developments more respectable coverage than books that have come before it. A History of Babylon, 2200 BC – AD 75 teaches readers about the most important phase in the development of Mesopotamian culture. The book offers in-depth chapter coverage on the Sumero-Addadian Background, the rise of Babylon, the decline of the first dynasty, Kassite ascendancy, the second dynasty of Isin, Arameans and Chaldeans, the Assyrian century, the imperial heyday, and Babylon under foreign rule. Focuses on Babylon and Babylonia Written by a highly regarded Assyriologist Part of the very successful Histories of the Ancient World series An excellent resource for students, instructors, and scholars A History of Babylon, 2200 BC - AD 75 is a profound text that will be ideal for upper-level undergraduate and graduate courses on Ancient Near Eastern and Mesopotamian history and scholars of the subject.

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311

Publisher

John Wiley & Sons

Published Date

ISBN 10

1405188987

ISBN 13

9781405188982

An Introduction to Analysis

By: Gerald G. Bilodeau,Paul R Thie,G. E. Keough

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An Introduction to Analysis

By: Gerald G. Bilodeau,Paul R Thie,G. E. Keough

Part of the Jones and Bartlett International Series in Advanced Mathematics Completely revised and update, the second edition of An Introduction to Analysis presents a concise and sharply focused introdution to the basic concepts of analysis from the development of the real numbers through uniform convergences of a sequence of functions, and includes supplementary material on the calculus of functions of several variables and differential equations. This student-friendly text maintains a cautious and deliberate pace, and examples and figures are used extensively to assist the reader in understanding the concepts and then applying them. Students will become actively engaged in learning process with a broad and comprehensive collection of problems found at the end of each section.

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459

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Jones & Bartlett Publishers

Published Date

ISBN 10

1449660452

ISBN 13

9781449660451

Stochastic Processes and Their Applications

By: Frank Beichelt,L. Paul Fatti

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Stochastic Processes and Their Applications

By: Frank Beichelt,L. Paul Fatti

This book introduces stochastic processes and their applications for students in engineering, industrial statistics, science, operations research, business, and finance. It provides the theoretical foundations for modeling time-dependent random phenomena encountered in these disciplines. Through numerous science and engineering-based examples and exercises, the author presents the subject in a comprehensible, practically oriented way, but he also includes some important proofs and theoretically challenging examples and exercises that will appeal to more mathematically minded readers. Solutions to most of the exercises are included either in an appendix or within the text.

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342

Publisher

CRC Press

Published Date

ISBN 10

0415272327

ISBN 13

9780415272322

Documenting Software Architectures

Views and Beyond

By: Paul Clements

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Documenting Software Architectures

Views and Beyond

By: Paul Clements

Architecture is crucial to the success of any large software system -- but even a superb architecture will fail if it isn't communicated well. Now, there's a language- and notation-independent guide to capturing architecture so it can be used successfully by every analyst, software designer, and developer. The authors review the diverse goals and uses of software architecture documentation, providing documentation strategies for several common scenarios. They identify the basic unit of software architecture documentation: the viewtype, which specifies the type of information to be provided in an architectural view. For each viewtype -- Modules, Component-and-Connectors, and Allocation -- they offer detailed guidance on documenting what really matters. Next, they demonstrate how to package architecture documentation in coherent, usable form: augmenting architectural views with documentation of interfaces and behavior; accounting for architectural variability and dynamic systems; and more.

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568

Publisher

Addison-Wesley Professional

Published Date

ISBN 10

0201703726

ISBN 13

9780201703726

Fundamentals of Mathematical Analysis

By: Paul J. Sally (Jr.)

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Fundamentals of Mathematical Analysis

By: Paul J. Sally (Jr.)

This is a textbook for a course in Honors Analysis (for freshman/sophomore undergraduates) or Real Analysis (for junior/senior undergraduates) or Analysis-I (beginning graduates). It is intended for students who completed a course in ``AP Calculus'', possibly followed by a routine course in multivariable calculus and a computational course in linear algebra. There are three features that distinguish this book from many other books of a similar nature and which are important for the use of this book as a text. The first, and most important, feature is the collection of exercises. These are spread throughout the chapters and should be regarded as an essential component of the student's learning. Some of these exercises comprise a routine follow-up to the material, while others challenge the student's understanding more deeply. The second feature is the set of independent projects presented at the end of each chapter. These projects supplement the content studied in their respective chapters. They can be used to expand the student's knowledge and understanding or as an opportunity to conduct a seminar in Inquiry Based Learning in which the students present the material to their class. The third really important feature is a series of challenge problems that increase in impossibility as the chapters progress.

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379

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821891413

ISBN 13

9780821891414

Measure Theory

By: Paul R. Halmos

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Measure Theory

By: Paul R. Halmos

Useful as a text for students and a reference for the more advanced mathematician, this book presents a unified treatment of that part of measure theory most useful for its application in modern analysis. Coverage includes sets and classes, measures and outer measures, Haar measure and measure and topology in groups. From the reviews: "Will serve the interested student to find his way to active and creative work in the field of Hilbert space theory." --MATHEMATICAL REVIEWS

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313

Publisher

Springer

Published Date

ISBN 10

1468494406

ISBN 13

9781468494402

High-Energy-Density Physics

Fundamentals, Inertial Fusion, and Experimental Astrophysics

By: R. Paul Drake

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High-Energy-Density Physics

Fundamentals, Inertial Fusion, and Experimental Astrophysics

By: R. Paul Drake

This book has two goals. One goal is to provide a means for those new to high-energy-density physics to gain a broad foundation from one text. The second goal is to provide a useful working reference for those in the ?eld. This book has at least four possible applications in an academic c- text. It can be used for training in high-energy-density physics, in support of the growing number of university and laboratory research groups working in this area. It also can be used by schools with an emphasis on ultrafast lasers, to provide some introduction to issues present in all laser–target - perimentswithhigh-powerlasers,andwiththoroughcoverageofthematerial in Chap. 11 on relativistic systems. In addition, it could be used by physics, applied physics, or engineering departments to provide in a single course an introduction to the basics of ?uid mechanics and radiative transfer, with d- matic applications. Finally, it could be used by astrophysics departments for a similar purpose, with the parallel bene?t of training the students in the similarities and di?erences between laboratory and astrophysical systems. The notation in this text is deliberately sparse and when possible a given symbol has only one meaning. A de?nition of the symbols used is given in Appendix A. In various cases, additional subscripts are added to distinguish among cases of the same quantity, as for example in the use of ? and ? 1 2 to distinguish the mass density in two di?erent regions.

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542

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540293159

ISBN 13

9783540293156

Regularized Image Reconstruction in Parallel MRI with MATLAB

By: Joseph Suresh Paul,Raji Susan Mathew

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Regularized Image Reconstruction in Parallel MRI with MATLAB

By: Joseph Suresh Paul,Raji Susan Mathew

Regularization becomes an integral part of the reconstruction process in accelerated parallel magnetic resonance imaging (pMRI) due to the need for utilizing the most discriminative information in the form of parsimonious models to generate high quality images with reduced noise and artifacts. Apart from providing a detailed overview and implementation details of various pMRI reconstruction methods, Regularized image reconstruction in parallel MRI with MATLAB examples interprets regularized image reconstruction in pMRI as a means to effectively control the balance between two specific types of error signals to either improve the accuracy in estimation of missing samples, or speed up the estimation process. The first type corresponds to the modeling error between acquired and their estimated values. The second type arises due to the perturbation of k-space values in autocalibration methods or sparse approximation in the compressed sensing based reconstruction model. Features: Provides details for optimizing regularization parameters in each type of reconstruction. Presents comparison of regularization approaches for each type of pMRI reconstruction. Includes discussion of case studies using clinically acquired data. MATLAB codes are provided for each reconstruction type. Contains method-wise description of adapting regularization to optimize speed and accuracy. This book serves as a reference material for researchers and students involved in development of pMRI reconstruction methods. Industry practitioners concerned with how to apply regularization in pMRI reconstruction will find this book most useful.

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Page Count

306

Publisher

CRC Press

Published Date

ISBN 10

1351029258

ISBN 13

9781351029254

Almost Periodic Stochastic Processes

By: Paul H. Bezandry,Toka Diagana

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Almost Periodic Stochastic Processes

By: Paul H. Bezandry,Toka Diagana

This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations. It is in part a sequel of authors recent work on almost periodic stochastic difference and differential equations and has the particularity to be the first book that is entirely devoted to almost periodic random processes and their applications. The topics treated in it range from existence, uniqueness, and stability of solutions for abstract stochastic difference and differential equations.

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247

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441994769

ISBN 13

9781441994769

Governing Global-City Singapore

Legacies and Futures After Lee Kuan Yew

By: Kenneth Paul Tan

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Governing Global-City Singapore

Legacies and Futures After Lee Kuan Yew

By: Kenneth Paul Tan

This book provides a detailed analysis of how governance in Singapore has evolved since independence to become what it is today, and what its prospects might be in a post-Lee Kuan Yew future. Firstly, it discusses the question of political leadership, electoral dominance and legislative monopoly in Singapore’s one-party dominant system and the system’s durability. Secondly, it tracks developments in Singapore’s public administration, critically analysing the formation and transformation of meritocracy and pragmatism, two key components of the state ideology. Thirdly, it discusses developments within civil society, focusing in particular on issues related to patriarchy and feminism, hetero-normativity and gay activism, immigration and migrant worker exploitation, and the contest over history and national narratives in academia, the media and the arts. Fourthly, it discusses the PAP government’s efforts to connect with the public, including its national public engagement exercises that can be interpreted as a subtler approach to social and political control. In increasingly complex conditions, the state struggles to maintain its hegemony while securing a pre-eminent position in the global economic order. Tan demonstrates how trends in these four areas converge in ways that signal plausible futures for a post-LKY Singapore.

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205

Publisher

Taylor & Francis

Published Date

ISBN 10

1317224442

ISBN 13

9781317224440

Student Solutions Manual to accompany Technical Mathematics 6e & Technical Mathematics with Calculus

By: Paul A. Calter

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Student Solutions Manual to accompany Technical Mathematics 6e & Technical Mathematics with Calculus

By: Paul A. Calter

This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material, polish, refine, and fill in where needed. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed. The authors continue to provide real-world, technical applications that promote intuitive reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to learn mathematics. Computer projects are given when appropriate, including BASIC, spreadsheets, computer algebra systems, and computer-assisted drafting. The graphing calculator has been fully integrated and calculator screens are given to introduce computations. Everything the technical student may need is included, with the emphasis always on clarity and practical applications.

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432

Publisher

John Wiley & Sons

Published Date

ISBN 10

047053494X

ISBN 13

9780470534946

Integration and Probability

By: Paul Malliavin

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Integration and Probability

By: Paul Malliavin

An introduction to analysis with the right mix of abstract theories and concrete problems. Starting with general measure theory, the book goes on to treat Borel and Radon measures and introduces the reader to Fourier analysis in Euclidean spaces with a treatment of Sobolev spaces, distributions, and the corresponding Fourier analysis. It continues with a Hilbertian treatment of the basic laws of probability including Doob's martingale convergence theorem and finishes with Malliavin's "stochastic calculus of variations" developed in the context of Gaussian measure spaces. This invaluable contribution gives a taste of the fact that analysis is not a collection of independent theories, but can be treated as a whole.

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341

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Springer Science & Business Media

Published Date

ISBN 10

1461242029

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9781461242024

Competition Models in Population Biology

By: Paul Waltman

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Competition Models in Population Biology

By: Paul Waltman

This book uses fundamental ideas in dynamical systems to answer questions of a biologic nature, in particular, questions about the behavior of populations given a relatively few hypotheses about the nature of their growth and interaction. The principal subject treated is that of coexistence under certain parameter ranges, while asymptotic methods are used to show competitive exclusion in other parameter ranges. Finally, some problems in genetics are posed and analyzed as problems in nonlinear ordinary differential equations.

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SIAM

Published Date

ISBN 10

0898711886

ISBN 13

9780898711882

Simplicial Homotopy Theory

By: Paul G. Goerss,John F. Jardine

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Simplicial Homotopy Theory

By: Paul G. Goerss,John F. Jardine

Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. The more advanced material includes homotopy limits and colimits, localization with respect to a map and with respect to a homology theory, cosimplicial spaces, and homotopy coherence. Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature. Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed.

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520

Publisher

Birkhäuser

Published Date

ISBN 10

3034887078

ISBN 13

9783034887076

Analysis and Approximation of Rare Events

Representations and Weak Convergence Methods

By: Amarjit Budhiraja,Paul Dupuis

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Analysis and Approximation of Rare Events

Representations and Weak Convergence Methods

By: Amarjit Budhiraja,Paul Dupuis

This book presents broadly applicable methods for the large deviation and moderate deviation analysis of discrete and continuous time stochastic systems. A feature of the book is the systematic use of variational representations for quantities of interest such as normalized logarithms of probabilities and expected values. By characterizing a large deviation principle in terms of Laplace asymptotics, one converts the proof of large deviation limits into the convergence of variational representations. These features are illustrated though their application to a broad range of discrete and continuous time models, including stochastic partial differential equations, processes with discontinuous statistics, occupancy models, and many others. The tools used in the large deviation analysis also turn out to be useful in understanding Monte Carlo schemes for the numerical approximation of the same probabilities and expected values. This connection is illustrated through the design and analysis of importance sampling and splitting schemes for rare event estimation. The book assumes a solid background in weak convergence of probability measures and stochastic analysis, and is suitable for advanced graduate students, postdocs and researchers.

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577

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Springer

Published Date

ISBN 10

1493995790

ISBN 13

9781493995790

Discrete Multivariate Analysis

Theory and Practice

By: Yvonne M. Bishop,Stephen E. Fienberg,Paul W. Holland

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Discrete Multivariate Analysis

Theory and Practice

By: Yvonne M. Bishop,Stephen E. Fienberg,Paul W. Holland

“A welcome addition to multivariate analysis. The discussion is lucid and very leisurely, excellently illustrated with applications drawn from a wide variety of fields. A good part of the book can be understood without very specialized statistical knowledge. It is a most welcome contribution to an interesting and lively subject.” -- Nature Originally published in 1974, this book is a reprint of a classic, still-valuable text.

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558

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Springer Science & Business Media

Published Date

ISBN 10

0387728058

ISBN 13

9780387728056

The Collected Scientific Papers of Paul A. Samuelson

By: Paul Anthony Samuelson

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The Collected Scientific Papers of Paul A. Samuelson

By: Paul Anthony Samuelson

It is a measure of Professor Samuelson's preeminence that the sheer scale of his work should be so much taken for granted," observes a reviewer in the Economist who goes on to note that "a cynic might add that it would have been better for Professor Samuelson to write less merely to give others a chance to write at all." These volumes contain virtually all of Professor Paul A. Samuelson's contributions to economic theory through mid-1964 - a total of 129 papers. Included are his classic articles on such topics as revealed preference, factor-price equalization, and public goods; as well as some articles which until now have only been privately circulated or "buried" in Festschriften, such as "Market Mechanisms and Maximization" and "The Structure of a Minimum Equilibrium System." The articles have been grouped together into five books, compiled in two volumes. The books, in turn have been divided into sections, each of which contains articles on the same or closely related topics. Within the sections the articles are arranged chronologically. The graduate student and professional economist will welcome The Collected Scientific Papers of Paul A. Samuelson as a valuable addition to their libraries.

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794

Publisher

MIT Press

Published Date

ISBN 10

0262190214

ISBN 13

9780262190213

Filipino Neologisms

By: Jean-Paul G. POTET

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Filipino Neologisms

By: Jean-Paul G. POTET

This is a study of the coinages propounded for the development of Tagalog / Pilipino / Filipino in the scientific fields and the humanities.

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302

Publisher

Lulu.com

Published Date

ISBN 10

0244978999

ISBN 13

9780244978990

Analysis in Vector Spaces

By: Mustafa A. Akcoglu,Paul F. A. Bartha,Dzung Minh Ha

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Analysis in Vector Spaces

By: Mustafa A. Akcoglu,Paul F. A. Bartha,Dzung Minh Ha

A rigorous introduction to calculus in vector spaces The concepts and theorems of advanced calculus combined withrelated computational methods are essential to understanding nearlyall areas of quantitative science. Analysis in Vector Spacespresents the central results of this classic subject throughrigorous arguments, discussions, and examples. The book aims tocultivate not only knowledge of the major theoretical results, butalso the geometric intuition needed for both mathematicalproblem-solving and modeling in the formal sciences. The authors begin with an outline of key concepts, terminology,and notation and also provide a basic introduction to set theory,the properties of real numbers, and a review of linear algebra. Anelegant approach to eigenvector problems and the spectral theoremsets the stage for later results on volume and integration.Subsequent chapters present the major results of differential andintegral calculus of several variables as well as the theory ofmanifolds. Additional topical coverage includes: Sets and functions Real numbers Vector functions Normed vector spaces First- and higher-order derivatives Diffeomorphisms and manifolds Multiple integrals Integration on manifolds Stokes' theorem Basic point set topology Numerous examples and exercises are provided in each chapter toreinforce new concepts and to illustrate how results can be appliedto additional problems. Furthermore, proofs and examples arepresented in a clear style that emphasizes the underlying intuitiveideas. Counterexamples are provided throughout the book to warnagainst possible mistakes, and extensive appendices outline theconstruction of real numbers, include a fundamental result aboutdimension, and present general results about determinants. Assuming only a fundamental understanding of linear algebra andsingle variable calculus, Analysis in Vector Spaces is anexcellent book for a second course in analysis for mathematics,physics, computer science, and engineering majors at theundergraduate and graduate levels. It also serves as a valuablereference for further study in any discipline that requires a firmunderstanding of mathematical techniques and concepts.

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Page Count

480

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118164598

ISBN 13

9781118164594

Stochastic Processes in Cell Biology

Volume I

By: Paul C. Bressloff

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Stochastic Processes in Cell Biology

Volume I

By: Paul C. Bressloff

This book develops the theory of continuous and discrete stochastic processes within the context of cell biology. In the second edition the material has been significantly expanded, particularly within the context of nonequilibrium and self-organizing systems. Given the amount of additional material, the book has been divided into two volumes, with volume I mainly covering molecular processes and volume II focusing on cellular processes. A wide range of biological topics are covered in the new edition, including stochastic ion channels and excitable systems, molecular motors, stochastic gene networks, genetic switches and oscillators, epigenetics, normal and anomalous diffusion in complex cellular environments, stochastically-gated diffusion, active intracellular transport, signal transduction, cell sensing, bacterial chemotaxis, intracellular pattern formation, cell polarization, cell mechanics, biological polymers and membranes, nuclear structure and dynamics, biological condensates, molecular aggregation and nucleation, cellular length control, cell mitosis, cell motility, cell adhesion, cytoneme-based morphogenesis, bacterial growth, and quorum sensing. The book also provides a pedagogical introduction to the theory of stochastic and nonequilibrium processes – Fokker Planck equations, stochastic differential equations, stochastic calculus, master equations and jump Markov processes, birth-death processes, Poisson processes, first passage time problems, stochastic hybrid systems, queuing and renewal theory, narrow capture and escape, extreme statistics, search processes and stochastic resetting, exclusion processes, WKB methods, large deviation theory, path integrals, martingales and branching processes, numerical methods, linear response theory, phase separation, fluctuation-dissipation theorems, age-structured models, and statistical field theory. This text is primarily aimed at graduate students and researchers working in mathematical biology, statistical and biological physicists, and applied mathematicians interested in stochastic modeling. Applied probabilists should also find it of interest. It provides significant background material in applied mathematics and statistical physics, and introduces concepts in stochastic and nonequilibrium processes via motivating biological applications. The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years.

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Page Count

773

Publisher

Springer Nature

Published Date

ISBN 10

3030725154

ISBN 13

9783030725150

Analysis

From Concepts to Applications

By: Jean-Paul Penot

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Analysis

From Concepts to Applications

By: Jean-Paul Penot

This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena. Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book’s style and layout make it suitable for use in several courses, while its self-contained character makes it appropriate for self-study.

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687

Publisher

Springer

Published Date

ISBN 10

331932411X

ISBN 13

9783319324111

Dr. Euler's Fabulous Formula

Cures Many Mathematical Ills

By: Paul Nahin

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Dr. Euler's Fabulous Formula

Cures Many Mathematical Ills

By: Paul Nahin

In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.

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416

Publisher

Princeton University Press

Published Date

ISBN 10

1400838479

ISBN 13

9781400838479

The Theory of the Chemostat

Dynamics of Microbial Competition

By: Hal L. Smith,Paul Waltman

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The Theory of the Chemostat

Dynamics of Microbial Competition

By: Hal L. Smith,Paul Waltman

Basic modelling, analysis and simulation of systems that have proven effective in real ecological applications.

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334

Publisher

Cambridge University Press

Published Date

ISBN 10

0521470277

ISBN 13

9780521470278

Young Measures on Topological Spaces

With Applications in Control Theory and Probability Theory

By: Charles Castaing,Paul Raynaud de Fitte,Michel Valadier

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Young Measures on Topological Spaces

With Applications in Control Theory and Probability Theory

By: Charles Castaing,Paul Raynaud de Fitte,Michel Valadier

Young measures are now a widely used tool in the Calculus of Variations, in Control Theory, in Probability Theory and other fields. They are known under different names such as "relaxed controls", "fuzzy random variables" and many other names. This monograph provides a unified presentation of the theory, along with new results and applications in various fields. It can serve as a reference on the subject. Young measures are presented in a general setting which includes finite and for the first time infinite dimensional spaces: the fields of applications of Young measures (Control Theory, Calculus of Variations, Probability Theory...) are often concerned with problems in infinite dimensional settings. The theory of Young measures is now well understood in a finite dimensional setting, but open problems remain in the infinite dimensional case. We provide several new results in the general frame, which are new even in the finite dimensional setting, such as characterizations of convergence in measure of Young measures (Chapter 3) and compactness criteria (Chapter 4).These results are established under a different form (and with fewer details and developments) in recent papers by the same authors. We also provide new applications to Visintin and Reshetnyak type theorems (Chapters 6 and 8), existence of solutions to differential inclusions (Chapter 7), dynamical programming (Chapter 8) and the Central Limit Theorem in locally convex spaces (Chapter 9).

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Page Count

327

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1402019637

ISBN 13

9781402019630

Global Lorentzian Geometry, Second Edition

By: John K. Beem,Paul Ehrlich,Kevin Easley

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Global Lorentzian Geometry, Second Edition

By: John K. Beem,Paul Ehrlich,Kevin Easley

Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.

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Page Count

660

Publisher

CRC Press

Published Date

ISBN 10

0824793242

ISBN 13

9780824793241

Book's by Paul Lim

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