Paul A. Riemann's Books

A Course on Many-body Theory Applied to Solid-state Physics

By: Charles Paul Enz

Write a review Read reviews Take a Quiz Solve Book Puzzle

A Course on Many-body Theory Applied to Solid-state Physics

By: Charles Paul Enz

The main aim of this book is to give a self-contained and representative cross section through present-day research in solid-state physics. This covers metallic and mesoscopic transport, localization by disorder and superconductivity, including questions related to high-temperature superconductors and to heavy fermion systems. An important part of the book is devoted to itinerant-electron magnetism, discussing paramagnons, strong correlation, magnetization fluctuations and spin density waves. All the formal tools used in these chapters are developed in the first part of the book which contains a thorough discussion of second quantization and of perturbation theory for an arbitrary complex time path and also describes the functional approach to Feynman diagrams including general ward identities. Each chapter contains an extensive list of the relevant literature and a series of problems with detailed solutions which complement the main text. The book is meant both as a course and a research tool.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

448

Publisher

World Scientific

Published Date

ISBN 10

9971503360

ISBN 13

9789971503369

Divinity at a Distance

By: Shawn Paul Jones

Write a review Read reviews Take a Quiz Solve Book Puzzle

Divinity at a Distance

By: Shawn Paul Jones

Since the beginning of time, looking up into the heavens has always given life in the universe a sense of complacency and a feeling of purpose. There was nothing within the laws of nature they felt would otherwise change the course of things. Yet when the cosmic riddle they felt was meant for them began to do the unexpected relative to what they truly wanted and desire, it can be as if God is never what you really think it is in the grander scheme of things.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

1142

Publisher

Page Publishing Inc

Published Date

ISBN 13

9798891573420

Harmonic Morphisms Between Riemannian Manifolds

By: Paul Baird,John C. Wood

Write a review Read reviews Take a Quiz Solve Book Puzzle

Harmonic Morphisms Between Riemannian Manifolds

By: Paul Baird,John C. Wood

This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

540

Publisher

Oxford University Press

Published Date

ISBN 10

0198503628

ISBN 13

9780198503620

The Collected Scientific Papers of Paul A. Samuelson

By: Paul Anthony Samuelson

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Collected Scientific Papers of Paul A. Samuelson

By: Paul Anthony Samuelson

The col. scient. pap. P.A. Samuelson /Ed. R.C. Merton.-v.3.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

952

Publisher

MIT Press

Published Date

ISBN 10

026219080X

ISBN 13

9780262190800

Dissonant Pieties

John Calvin and the Prayer Psalms of the Psalter

By: Paul A. Riemann

Write a review Read reviews Take a Quiz Solve Book Puzzle

Dissonant Pieties

John Calvin and the Prayer Psalms of the Psalter

By: Paul A. Riemann

Throughout his years as a leader of the Reformation, John Calvin had a special interest in the proprieties of prayer. This interest climaxed in his formulation of four basic rules for proper prayer, rules that he applied in his extensive commentary on the book of Psalms, which dominated his last several years. Calvin was especially interested in the psalms associated with David, particularly the complaint psalms. He sensed an unusual personal affinity with David, who as king faced many situations that seemed to parallel his own less authoritative but very powerful role in Geneva. He was, however, quite critical of the psalm prayers that he found to be in violation of his rules. Riemann analyzes Calvin's criticism and offers a reevaluation of the complaint psalms in themselves. Riemann finds the complaint psalms to have been misunderstood not only by Calvin but by many present-day commentators, who likewise find these psalms to only echo their own piety. Riemann demonstrates the risks of abstracting elements from someone else's piety and appropriating them for ourselves. He asserts that rather the complaint psalms can help us learn how to think about the humanity of God and become proper pray-ers ourselves.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

103

Publisher

Wipf and Stock Publishers

Published Date

ISBN 10

162032556X

ISBN 13

9781620325568

Finite Superstrings

By: A Restuccia,John Gerald Taylor,Paul Bressloff

Write a review Read reviews Take a Quiz Solve Book Puzzle

Finite Superstrings

By: A Restuccia,John Gerald Taylor,Paul Bressloff

This is the first complete account of the construction and finiteness analysis of multi-loop scattering amplitudes for superstrings, and of the guarantee that for certain superstrings (in particular the heterotic one), the symmetries of the theory in the embedding space-time are those of the super-poincaré group SP10 and that the multi-loop amplitudes are each finite. The book attempts to be self-contained in its analysis, although it draws on the works of many researchers. It also presents the first complete field theory for such superstrings. As such it demonstrates that gravity can be quantized satisfactorily by superstrings.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

391

Publisher

World Scientific

Published Date

ISBN 10

9814505587

ISBN 13

9789814505581

Fukaya Categories and Picard-Lefschetz Theory

By: Paul Seidel

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fukaya Categories and Picard-Lefschetz Theory

By: Paul Seidel

The central objects in the book are Lagrangian submanifolds and their invariants, such as Floer homology and its multiplicative structures, which together constitute the Fukaya category. The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained account of the necessary homological algebra. Generally, the emphasis is on simplicity rather than generality. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

340

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190639

ISBN 13

9783037190630

Symplectic 4-Manifolds and Algebraic Surfaces

Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 2-10, 2003

By: Denis Auroux,Fabrizio Catanese,Marco Manetti,Gang Tian,Paul Seidel,Ivan Smith,Bernd Siebert

Write a review Read reviews Take a Quiz Solve Book Puzzle

Symplectic 4-Manifolds and Algebraic Surfaces

Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 2-10, 2003

By: Denis Auroux,Fabrizio Catanese,Marco Manetti,Gang Tian,Paul Seidel,Ivan Smith,Bernd Siebert

Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics. The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

363

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540782788

ISBN 13

9783540782780

Understanding Real Analysis

By: Paul Zorn

Write a review Read reviews Take a Quiz Solve Book Puzzle

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

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

355

Publisher

CRC Press

Published Date

ISBN 10

1315315076

ISBN 13

9781315315072

Linear Model Theory

Univariate, Multivariate, and Mixed Models

By: Keith E. Muller,Paul W. Stewart

Write a review Read reviews Take a Quiz Solve Book Puzzle

Linear Model Theory

Univariate, Multivariate, and Mixed Models

By: Keith E. Muller,Paul W. Stewart

A precise and accessible presentation of linear model theory, illustrated with data examples Statisticians often use linear models for data analysis and for developing new statistical methods. Most books on the subject have historically discussed univariate, multivariate, and mixed linear models separately, whereas Linear Model Theory: Univariate, Multivariate, and Mixed Models presents a unified treatment in order to make clear the distinctions among the three classes of models. Linear Model Theory: Univariate, Multivariate, and Mixed Models begins with six chapters devoted to providing brief and clear mathematical statements of models, procedures, and notation. Data examples motivate and illustrate the models. Chapters 7-10 address distribution theory of multivariate Gaussian variables and quadratic forms. Chapters 11-19 detail methods for estimation, hypothesis testing, and confidence intervals. The final chapters, 20-23, concentrate on choosing a sample size. Substantial sets of excercises of varying difficulty serve instructors for their classes, as well as help students to test their own knowledge. The reader needs a basic knowledge of statistics, probability, and inference, as well as a solid background in matrix theory and applied univariate linear models from a matrix perspective. Topics covered include: A review of matrix algebra for linear models The general linear univariate model The general linear multivariate model Generalizations of the multivariate linear model The linear mixed model Multivariate distribution theory Estimation in linear models Tests in Gaussian linear models Choosing a sample size in Gaussian linear models Filling the need for a text that provides the necessary theoretical foundations for applying a wide range of methods in real situations, Linear Model Theory: Univariate, Multivariate, and Mixed Models centers on linear models of interval scale responses with finite second moments. Models with complex predictors, complex responses, or both, motivate the presentation.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

427

Publisher

John Wiley & Sons

Published Date

ISBN 10

0470052139

ISBN 13

9780470052136

Analytic Number Theory: An Introductory Course

By: Paul Trevier Bateman,Harold G Diamond

Write a review Read reviews Take a Quiz Solve Book Puzzle

Analytic Number Theory: An Introductory Course

By: Paul Trevier Bateman,Harold G Diamond

This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.Comments and corrigenda for the book are found at www.math.uiuc.edu/~diamond/.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

375

Publisher

World Scientific

Published Date

ISBN 10

9814365564

ISBN 13

9789814365567

Quantum Probability for Probabilists

By: Paul-Andre Meyer

Write a review Read reviews Take a Quiz Solve Book Puzzle

Quantum Probability for Probabilists

By: Paul-Andre Meyer

These notes contain all the material accumulated over six years in Strasbourg to teach "Quantum Probability" to myself and to an audience of commutative probabilists. The text, a first version of which appeared in successive volumes of the Seminaire de Probabilite8, has been augmented and carefully rewritten, and translated into international English. Still, it remains true "Lecture Notes" material, and I have resisted suggestions to publish it as a monograph. Being a non-specialist, it is important for me to keep the moderate right to error one has in lectures. The origin of the text also explains the addition "for probabilists" in the title : though much of the material is accessible to the general public, I did not care to redefine Brownian motion or the Ito integral. More precisely than "Quantum Probability" , the main topic is "Quantum Stochastic Calculus" , a field which has recently got official recognition as 81825 in the Math.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

301

Publisher

Springer

Published Date

ISBN 10

3662215586

ISBN 13

9783662215586

Math for Programmers

3D graphics, machine learning, and simulations with Python

By: Paul Orland

Write a review Read reviews Take a Quiz Solve Book Puzzle

Math for Programmers

3D graphics, machine learning, and simulations with Python

By: Paul Orland

In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

686

Publisher

Manning Publications

Published Date

ISBN 10

1617295353

ISBN 13

9781617295355

Integration and Probability

By: Paul Malliavin

Write a review Read reviews Take a Quiz Solve Book Puzzle

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

341

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461242029

ISBN 13

9781461242024

Geometrical Foundations of Continuum Mechanics

An Application to First- and Second-Order Elasticity and Elasto-Plasticity

By: Paul Steinmann

Write a review Read reviews Take a Quiz Solve Book Puzzle

Geometrical Foundations of Continuum Mechanics

An Application to First- and Second-Order Elasticity and Elasto-Plasticity

By: Paul Steinmann

This book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry. Besides applications to first- order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating for generalized models of continuum mechanics such as second-order (gradient-type) elasticity and elasto-plasticity. After a motivation that arises from considering geometrically linear first- and second- order crystal plasticity in Part I several concepts from differential geometry, relevant for what follows, such as connection, parallel transport, torsion, curvature, and metric for holonomic and anholonomic coordinate transformations are reiterated in Part II. Then, in Part III, the kinematics of geometrically nonlinear continuum mechanics are considered. There various concepts of differential geometry, in particular aspects related to compatibility, are generically applied to the kinematics of first- and second- order geometrically nonlinear continuum mechanics. Together with the discussion on the integrability conditions for the distortions and double-distortions, the concepts of dislocation, disclination and point-defect density tensors are introduced. For concreteness, after touching on nonlinear fir st- and second-order elasticity, a detailed discussion of the kinematics of (multiplicative) first- and second-order elasto-plasticity is given. The discussion naturally culminates in a comprehensive set of different types of dislocation, disclination and point-defect density tensors. It is argued, that these can potentially be used to model densities of geometrically necessary defects and the accompanying hardening in crystalline materials. Eventually Part IV summarizes the above findings on integrability whereby distinction is made between the straightforward conditions for the distortion and the double-distortion being integrable and the more involved conditions for the strain (metric) and the double-strain (connection) being integrable. The book addresses readers with an interest in continuum modelling of solids from engineering and the sciences alike, whereby a sound knowledge of tensor calculus and continuum mechanics is required as a prerequisite.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

534

Publisher

Springer

Published Date

ISBN 10

3662464608

ISBN 13

9783662464601

Concepts of Probability Theory

Second Revised Edition

By: Paul E. Pfeiffer

Write a review Read reviews Take a Quiz Solve Book Puzzle

Concepts of Probability Theory

Second Revised Edition

By: Paul E. Pfeiffer

Using the Kolmogorov model, this intermediate-level text discusses random variables, probability distributions, mathematical expectation, random processes, more. For advanced undergraduates students of science, engineering, or math. Includes problems with answers and six appendixes. 1965 edition.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

418

Publisher

Courier Corporation

Published Date

ISBN 10

0486165663

ISBN 13

9780486165660

Mathematics for Physics

A Guided Tour for Graduate Students

By: Michael Stone,Paul Goldbart

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematics for Physics

A Guided Tour for Graduate Students

By: Michael Stone,Paul Goldbart

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

821

Publisher

Cambridge University Press

Published Date

ISBN 10

1139480618

ISBN 13

9781139480611

Compactifying Moduli Spaces

By: Paul Hacking,Radu Laza,Dragos Oprea

Write a review Read reviews Take a Quiz Solve Book Puzzle

Compactifying Moduli Spaces

By: Paul Hacking,Radu Laza,Dragos Oprea

This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated. Three contributions give an insight on particular aspects of moduli problems. In the first of them, various ways to construct and compactify moduli spaces are presented. In the second, some questions on the boundary of moduli spaces of surfaces are addressed. Finally, the theory of stable quotients is explained, which yields meaningful compactifications of moduli spaces of maps. Both advanced graduate students and researchers in algebraic geometry will find this book a valuable read.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

141

Publisher

Birkhäuser

Published Date

ISBN 10

3034809212

ISBN 13

9783034809214

Calculus from Graphical, Numerical, and Symbolic Points of View

By: Arnold Ostebee,Paul Zorn

Write a review Read reviews Take a Quiz Solve Book Puzzle

Calculus from Graphical, Numerical, and Symbolic Points of View

By: Arnold Ostebee,Paul Zorn

This flexible series offers instructors a true balance of traditional and conceptual approaches to calculus for math, science, and engineering majors. The Second Edition continues to focus on conceptual understanding as its primary goal and combines a variety of approaches and viewpoints to help students achieve this understanding. In addition to providing a readable tone that appeals to students and supports independent work, the authors present a balance of traditional theorems and proofs along with conceptually driven examples and exercises featuring graphical, numerical, and symbolic points of view. In addition, the text offers a wealth of diverse, well-graded exercises, including some more challenging problems.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

504

Publisher

McDougal Littel

Published Date

ISBN 10

0618247505

ISBN 13

9780618247509

Theta Functions on Varieties with Effective Anti-Canonical Class

By: Mark Gross,Paul Hacking,Bernd Siebert

Write a review Read reviews Take a Quiz Solve Book Puzzle

Theta Functions on Varieties with Effective Anti-Canonical Class

By: Mark Gross,Paul Hacking,Bernd Siebert

View the abstract.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

122

Publisher

American Mathematical Society

Published Date

ISBN 10

1470452979

ISBN 13

9781470452971

An Introduction to Analysis

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

Write a review Read reviews Take a Quiz Solve Book Puzzle

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

350

Publisher

Jones & Bartlett Learning

Published Date

ISBN 10

0763774928

ISBN 13

9780763774929

Differential Manifolds: A Basic Approach For Experimental Physicists

By: Paul Baillon

Write a review Read reviews Take a Quiz Solve Book Puzzle

Differential Manifolds: A Basic Approach For Experimental Physicists

By: Paul Baillon

Differential Manifold is the framework of particle physics and astrophysics nowadays. It is important for all research physicists to be well accustomed to it and even experimental physicists should be able to manipulate equations and expressions in that framework.This book gives a comprehensive description of the basics of differential manifold with a full proof of any element. A large part of the book is devoted to the basic mathematical concepts in which all necessary for the development of the differential manifold is expounded and fully proved.This book is self-consistent: it starts from first principles. The mathematical framework is the set theory with its axioms and its formal logic. No special knowledge is needed.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

593

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

981444958X

ISBN 13

9789814449588

Lectures on Several Complex Variables

By: Paul M. Gauthier

Write a review Read reviews Take a Quiz Solve Book Puzzle

Lectures on Several Complex Variables

By: Paul M. Gauthier

This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions. Based on a course given at Université de Montréal, this brief introduction covers areas of contemporary importance that are not mentioned in most treatments of the subject, such as modular forms, which are essential for Wiles' theorem and the unification of quantum theory and general relativity. Also covered is the Riemann manifold of a function, which generalizes the Riemann surface of a function of a single complex variable and is a topic that is well-known in one complex variable, but rarely treated in several variables. Many details, which are intentionally left out, as well as many theorems are stated as problems, providing students with carefully structured instructive exercises. Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level. Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

110

Publisher

Springer

Published Date

ISBN 10

3319115111

ISBN 13

9783319115115

An Introduction to Analysis

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

Write a review Read reviews Take a Quiz Solve Book Puzzle

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

459

Publisher

Jones & Bartlett Publishers

Published Date

ISBN 10

1449660452

ISBN 13

9781449660451

Inside Interesting Integrals

A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Hundreds of Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus Numerous Challenge Problems with Complete, Detailed Solutions)

By: Paul J. Nahin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Inside Interesting Integrals

By: Paul J. Nahin

What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

542

Publisher

Springer Nature

Published Date

ISBN 10

3030437884

ISBN 13

9783030437886

A Conversational Introduction to Algebraic Number Theory

By: Paul Pollack

Write a review Read reviews Take a Quiz Solve Book Puzzle

A Conversational Introduction to Algebraic Number Theory

By: Paul Pollack

Gauss famously referred to mathematics as the “queen of the sciences” and to number theory as the “queen of mathematics”. This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q . Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others. This book lays out basic results, including the three “fundamental theorems”: unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads. Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the author's notes from a course delivered at the University of Georgia; pains have been taken to preserve the conversational style of the original lectures.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

329

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470436531

ISBN 13

9781470436537

Exercises and Solutions Manual for Integration and Probability

By Paul Malliavin

By: Paul Malliavin,Gerard Letac

Write a review Read reviews Take a Quiz Solve Book Puzzle

Exercises and Solutions Manual for Integration and Probability

By Paul Malliavin

By: Paul Malliavin,Gerard Letac

This book is designed to be an introduction to analysis with the proper mix of abstract theories and concrete problems. It starts with general measure theory, treats Borel and Radon measures (with particular attention paid to Lebesgue measure) and introduces the reader to Fourier analysis in Euclidean spaces with a treatment of Sobolev spaces, distributions, and the Fourier analysis of such. 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 to the existing literature gives the reader a taste of the fact that analysis is not a collection of independent theories but can be treated as a whole.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

158

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387944214

ISBN 13

9780387944210

A Course in Mathematics for Students of Physics: Volume 1

By: Paul Bamberg,Shlomo Sternberg

Write a review Read reviews Take a Quiz Solve Book Puzzle

A Course in Mathematics for Students of Physics: Volume 1

By: Paul Bamberg,Shlomo Sternberg

This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

428

Publisher

Cambridge University Press

Published Date

ISBN 10

1107392853

ISBN 13

9781107392854

Mathematics for Business Analysis

By: Paul Turner,Justine Wood

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematics for Business Analysis

By: Paul Turner,Justine Wood

Designed for students, faculty, and professionals, this book describes the role of mathematics in the world of economics and business. Beginning with the fundamental nature of numbers and progressing into more complex realms like hyperreal numbers and the intricacies of set theory, this book constructs a strong foundational understanding of mathematical concepts. The book uses PYTHON code throughout the text to illustrate problems numerically. As readers advance, the text seamlessly integrates essential topics such as linear simultaneous equations, which are pivotal in analyzing market equilibrium, and covers the mechanics of matrices for solving larger equation systems. Furthermore, chapters dedicated to calculus, especially its applications in economics and the innovative use of infinitesimal methods, equip learners with tools to tackle profit maximization challenges, factor optimization, and beyond. Later chapters unfold the world of differential and difference equations, revealing their significance in analyzing dynamic systems. All these concepts are illuminated through practical examples and numerous images from economics and business, ensuring relevance and clarity. FEATURES: Integrates computational understanding with chapters dedicated to PYTHON code examples that illuminate mathematical concepts Covers infinitesimal methods, a distinct approach that emphasizes intuition and comprehensive technique development Includes differential and difference equations, vital for understanding how variables evolve over time in response to external influences

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

403

Publisher

Stylus Publishing, LLC

Published Date

ISBN 10

1683929357

ISBN 13

9781683929352

Multivariable Calculus from Graphical, Numerical, and Symbolic Points of View

By: Arnold Ostebee,Paul Zorn

Write a review Read reviews Take a Quiz Solve Book Puzzle

Multivariable Calculus from Graphical, Numerical, and Symbolic Points of View

By: Arnold Ostebee,Paul Zorn

The text addresses a general mathematical audience: mathematics majors, science and engineering majors, and non-science majors. [The authors] assume little more mathematical maturity than for single-variable calculus, but the presentation is not rigorous in the sense of mathematical analysis. [They] want students to encounter, understand, and use the main concepts and methods of multivariable calculus and to see how they extend the simpler objects and ideas of elementary calculus ... [They] assume that students have the "usual" one-year, single-variable calculus preparation, but little or nothing more than that.-About this preliminary ed

Average ratings

N/A