Historians of science, teachers and students of the history and philosophy of science and mathematics will be astounded at the difference a few decades of research has made in the assessment of Newton's work. Most heartily recommended to all who seek authoritative and readable glimpses of Newton at work".Choice, 2001
Praise for the Second Edition "This book is an excellent introduction to the wide field of boundary value problems."—Journal of Engineering Mathematics "No doubt this textbook will be useful for both students and research workers."—Mathematical Reviews A new edition of the highly-acclaimed guide to boundary value problems, now featuring modern computational methods and approximation theory Green's Functions and Boundary Value Problems, Third Edition continues the tradition of the two prior editions by providing mathematical techniques for the use of differential and integral equations to tackle important problems in applied mathematics, the physical sciences, and engineering. This new edition presents mathematical concepts and quantitative tools that are essential for effective use of modern computational methods that play a key role in the practical solution of boundary value problems. With a careful blend of theory and applications, the authors successfully bridge the gap between real analysis, functional analysis, nonlinear analysis, nonlinear partial differential equations, integral equations, approximation theory, and numerical analysis to provide a comprehensive foundation for understanding and analyzing core mathematical and computational modeling problems. Thoroughly updated and revised to reflect recent developments, the book includes an extensive new chapter on the modern tools of computational mathematics for boundary value problems. The Third Edition features numerous new topics, including: Nonlinear analysis tools for Banach spaces Finite element and related discretizations Best and near-best approximation in Banach spaces Iterative methods for discretized equations Overview of Sobolev and Besov space linear Methods for nonlinear equations Applications to nonlinear elliptic equations In addition, various topics have been substantially expanded, and new material on weak derivatives and Sobolev spaces, the Hahn-Banach theorem, reflexive Banach spaces, the Banach Schauder and Banach-Steinhaus theorems, and the Lax-Milgram theorem has been incorporated into the book. New and revised exercises found throughout allow readers to develop their own problem-solving skills, and the updated bibliographies in each chapter provide an extensive resource for new and emerging research and applications. With its careful balance of mathematics and meaningful applications, Green's Functions and Boundary Value Problems, Third Edition is an excellent book for courses on applied analysis and boundary value problems in partial differential equations at the graduate level. It is also a valuable reference for mathematicians, physicists, engineers, and scientists who use applied mathematics in their everyday work.
This instructive book introduces the key ideas behind practical nonlinear optimization, accompanied by computational examples and supporting software. It combines computational finance with an important class of numerical techniques.
This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results. In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.
Generalized Linear Models for Categorical and Continuous Limited Dependent Variables is designed for graduate students and researchers in the behavioral, social, health, and medical sciences. It incorporates examples of truncated counts, censored continuous variables, and doubly bounded continuous variables, such as percentages.The book provides br
Describing Einstein's work is not easy. For such a diverse subject, 'difficult' is misleading, for it depends as much on the recipient as on the content, yet based on 'selective impressions' relativity has a daunting reputation, which deters many, and has gone unquestioned for years. This book takes a critical look at that image, and by ignoring the practical needs of professionals, places relativity in a very different perspective; harder parts are less common, but often matter least for general purposes; no knowledge of mathematics at all is necessary to fully understand what relativity says and means (contrary to popular belief), and on that basis, understanding Einstein should be within the grasp of every student interested to try, and with the motivation to succeed. To achieve this aim, an approach has been adopted which places emphasis on meaning over content, with the ultimate objective that understanding is what matters most, rather than provision of facts and information. The book is aimed at a very wide range of potential readers, from complete novice to university level, with format and content material adapted accordingly. The general layout is modular, with topics classified under three categories of difficulty, to meet different levels of interest and aptitude, and these grades are identified in the contents section preceding each chapter. Readers can thus customise their choice of reading, while cross referencing and frequent summaries facilitate moving between levels. Little mathematics is included in the text (and can all be skipped), but for advanced readers, a very full selection of equations (most with derivations from first principles) has been included in a series of appendices which follow each chapter. An unusual feature is a chapter on cosmology, for those who wish to follow the logical consequences of general relativity. There is a very extensive glossary.
Physics describes how motion works in everyday life. Clothes washers and rolling pins are undergoing rotational motion. A flying bird uses forces. Tossing a set of keys involves equations that describe motion (kinematics). Two people bumping into each other while cooking in a kitchen involves linear momentum. This textbook covers topics related to units, kinematics, forces, energy, momentum, circular and rotational motion, Newton’s general equation for gravity, and simple harmonic motion (things that go back and forth). A math review is also included, with a focus on algebra and trigonometry. The goal of this textbook is to present a clear introduction to these topics, in small pieces, with examples that readers can relate to. Each topic comes with a short summary, a fully solved example, and practice problems. Full solutions are included for over 400 problems. This book is a very useful study guide for students in introductory physics courses, including high school and college students in an algebra-based introductory physics course and even students in an introductory calculus-level course. It can also be used as a standalone textbook in courses where derivations are not emphasized.
Effective Prototyping for Software Makers is a practical, informative resource that will help anyone—whether or not one has artistic talent, access to special tools, or programming ability—to use good prototyping style, methods, and tools to build prototypes and manage for effective prototyping. This book features a prototyping process with guidelines, templates, and worksheets; overviews and step-by-step guides for nine common prototyping techniques; an introduction with step-by-step guidelines to a variety of prototyping tools that do not require advanced artistic skills; templates and other resources used in the book available on the Web for reuse; clearly-explained concepts and guidelines; and full-color illustrations and examples from a wide variety of prototyping processes, methods, and tools. This book is an ideal resource for usability professionals and interaction designers; software developers, web application designers, web designers, information architects, information and industrial designers. * A prototyping process with guidelines, templates, and worksheets;* Overviews and step-by-step guides for 9 common prototyping techniques;* An introduction with step-by-step guidelines to a variety of prototyping tools that do not require advanced artistic skills;* Templates and other resources used in the book available on the Web for reuse;* Clearly-explained concepts and guidelines;* Full-color illustrations, and examples from a wide variety of prototyping processes, methods, and tools. * www.mkp.com/prototyping
The framework of algorithms presented in this book is called Cost Approximation. It describes, for a given formulation of a variational inequality or nonlinear programming problem, an algorithm by means of approximating mappings and problems, a principle for the updating of the iteration points, and a merit function which guides and monitors the convergence of the algorithm. One purpose of the book is to offer this framework as an intuitively appealing tool for describing an algorithm. Another purpose is to provide a convergence analysis of the algorithms in the framework. Audience: The book will be of interest to all researchers in the field (it includes over 800 references) and can also be used for advanced courses in non-linear optimization with the possibility of being oriented either to algorithm theory or to the numerical aspects of large-scale nonlinear optimization.
At the close of the eighteenth century, Erasmus Darwin declared that he would 'enlist the imagination under the banner of science,' beginning, Michael Page argues, a literary narrative on questions of evolution, ecology, and technological progress that would extend from the Romantic through the Victorian periods. Examining the interchange between emerging scientific ideas-specifically evolution and ecology-new technologies, and literature in nineteenth-century Britain, Page shows how British writers from Darwin to H.G. Wells confronted the burgeoning expansion of scientific knowledge that was radically redefining human understanding and experience of the natural world, of human species, and of the self. The wide range of authors covered in Page's ambitious study permits him to explore an impressive array of topics that include the role of the Romantic era in the molding of scientific and cultural perspectives; the engagement of William Wordsworth and Percy Shelley with questions raised by contemporary science; Mary Shelley's conflicted views on the unfolding prospects of modernity; and how Victorian writers like Charles Kingsley, Samuel Butler, and W.H. Hudson responded to the implications of evolutionary theory. Page concludes with the scientific romances of H.G. Wells, to demonstrate how evolutionary fantasies reached the pinnacle of synthesis between evolutionary science and the imagination at the close of the century.
A general introduction to surface and interfacial forces, perfectly combining theoretical concepts, experimental techniques and practical applications. In this completely updated edition all the chapters have been thoroughly revised and extended to cover new developments and approaches with around 15% new content. A large part of the book is devoted to surface forces between solid surfaces in liquid media, and while a basic knowledge of colloid and interface science is helpful, it is not essential since all important concepts are explained and the theoretical concepts can be understood with an intermediate knowledge of mathematics. A number of exercises with solutions and the end-of-chapter summaries of the most important equations, facts and phenomena serve as additional tools to strengthen the acquired knowledge and allow for self-study. The result is a readily accessible text that helps to foster an understanding of the intricacies of this highly relevant topic.
This is the first in-depth study in English of the international debate that developed between 1750 and 1900 concerning the question of the existence of extraterrestrial intelligent life. Taking a history of ideas approach, the author describes the controversies that-arose over this question and reveals the great extent to which this issue influenced astronomical, philosophical, and religious thought. Professor Crowe shows that the majority of the leading astronomers of the last two centuries participated in this debate and he analyzes how their views interacted with new developments such as Newtonian mechanics, stellar astronomy, Darwinian theory, and astrophysics. This fascinating and critical history shows that the longstanding and widespread belief in extraterrestrial life has for centuries acted to alter major areas of our intellectual life.
The updated edition of this bestselling book is for the teacher who wants support and practical advice to recognize and deal with the common misconceptions encountered in the primary science classroom. Michael Allen describes over 100 common misconceptions and their potential origins. In addition to background theoretical and research material, he offers creative activities to help you grasp the underlying scientific concepts and bring them to life in the classroom, as well as practical strategies to improve pupil learning. This easy to navigate and friendly guide is a superb toolkit to support you as you teach or prepare to teach in the primary school, irrespective of your training route.
The essays in this volume focus on the way Victorian Physicist John Tyndall and his correspondents developed their ideas through letters, periodicals and journals and challenge assumptions about who gained authority, and how they attained and defended their position within the scientific community.
The first MATLAB-based numerical methods textbook for bioengineers that uniquely integrates modelling concepts with statistical analysis, while maintaining a focus on enabling the user to report the error or uncertainty in their result. Between traditional numerical method topics of linear modelling concepts, nonlinear root finding, and numerical integration, chapters on hypothesis testing, data regression and probability are interweaved. A unique feature of the book is the inclusion of examples from clinical trials and bioinformatics, which are not found in other numerical methods textbooks for engineers. With a wealth of biomedical engineering examples, case studies on topical biomedical research, and the inclusion of end of chapter problems, this is a perfect core text for a one-semester undergraduate course.
This unique monograph, a classic in its field, provides an account of the development of models and methods for the problem of estimating equilibrium traffic flows in urban areas. The text further demonstrates the scope and limits of current models. Some familiarity with nonlinear programming theory and techniques is assumed. 1994 edition"--
At last—a social scientist's guide through the pitfalls of modern statistical computing Addressing the current deficiency in the literature on statistical methods as they apply to the social and behavioral sciences, Numerical Issues in Statistical Computing for the Social Scientist seeks to provide readers with a unique practical guidebook to the numerical methods underlying computerized statistical calculations specific to these fields. The authors demonstrate that knowledge of these numerical methods and how they are used in statistical packages is essential for making accurate inferences. With the aid of key contributors from both the social and behavioral sciences, the authors have assembled a rich set of interrelated chapters designed to guide empirical social scientists through the potential minefield of modern statistical computing. Uniquely accessible and abounding in modern-day tools, tricks, and advice, the text successfully bridges the gap between the current level of social science methodology and the more sophisticated technical coverage usually associated with the statistical field. Highlights include: A focus on problems occurring in maximum likelihood estimation Integrated examples of statistical computing (using software packages such as the SAS, Gauss, Splus, R, Stata, LIMDEP, SPSS, WinBUGS, and MATLAB®) A guide to choosing accurate statistical packages Discussions of a multitude of computationally intensive statistical approaches such as ecological inference, Markov chain Monte Carlo, and spatial regression analysis Emphasis on specific numerical problems, statistical procedures, and their applications in the field Replications and re-analysis of published social science research, using innovative numerical methods Key numerical estimation issues along with the means of avoiding common pitfalls A related Web site includes test data for use in demonstrating numerical problems, code for applying the original methods described in the book, and an online bibliography of Web resources for the statistical computation Designed as an independent research tool, a professional reference, or a classroom supplement, the book presents a well-thought-out treatment of a complex and multifaceted field.
In this book, a beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. The unified approach provides a new viewpoint of and a deeper insight into the subject.
Advanced Automotive Electricity and Electronics, published as part of the CDX Master Automotive Technician Series, gives students with a basic understanding of automotive electrical the additional knowledge and experience they need to diagnose and fix complex electrical systems and circuits. Focused on a “strategy-based diagnostics” approach, this book helps students master technical trouble-shooting in order to address the problem correctly on the first attempt.
A guide to the theoretical underpinnings and practical applications of chemically reacting flow Chemically Reacting Flow: Theory, Modeling, and Simulation, Second Edition combines fundamental concepts in fluid mechanics and physical chemistry while helping students and professionals to develop the analytical and simulation skills needed to solve real-world engineering problems. The authors clearly explain the theoretical and computational building blocks enabling readers to extend the approaches described to related or entirely new applications. New to this Second Edition are substantially revised and reorganized coverage of topics treated in the first edition. New material in the book includes two important areas of active research: reactive porous-media flows and electrochemical kinetics. These topics create bridges between traditional fluid-flow simulation approaches and transport within porous-media electrochemical systems. The first half of the book is devoted to multicomponent fluid-mechanical fundamentals. In the second half the authors provide the necessary fundamental background needed to couple reaction chemistry into complex reacting-flow models. Coverage of such topics is presented in self-contained chapters, allowing a great deal of flexibility in course curriculum design. • Features new chapters on reactive porous-media flow, electrochemistry, chemical thermodynamics, transport properties, and solving differential equations in MATLAB • Provides the theoretical underpinnings and practical applications of chemically reacting flow • Emphasizes fundamentals, allowing the analyst to understand fundamental theory underlying reacting-flow simulations • Helps readers to acquire greater facility in the derivation and solution of conservation equations in new or unusual circumstances • Reorganized to facilitate use as a class text and now including a solutions manual for academic adopters Computer simulation of reactive systems is highly efficient and cost-effective in the development, enhancement, and optimization of chemical processes. Chemically Reacting Flow: Theory, Modeling, and Simulation, Second Edition helps prepare graduate students in mechanical or chemical engineering, as well as research professionals in those fields take utmost advantage of that powerful capability.
Fundamental Concepts of Physics introduces students with little scientific background to college physics. Dr. Michael J. Cardamone presents the science of physics in a nonthreatening, non-mathematical conceptual format, with emphasis on its historical and cultural foundations. While directed at non-science undergraduate college students, the text is accessible to anyone with a curiosity concerning how we arrived at our current understanding of our physical world and its place in the universe. The goal is to allow the reader to come to an understanding of what we now know and how we came to know it. The emphasis is on the large concepts rather than the mathematical details involved with attaining this understanding. After completing the study of this text, the reader should have a greater appreciation of physics in describing the observed world. Electronic ebook edition available at Powells.com. Click on Powells logo to the left.
At 12:21 p.m., on October 19, 2005, Saddam Hussein was escorted into the Courtroom of the Iraqi High Tribunal in Baghdad for one of the most important and chaotic trials in history. For a year, two American law professors had led an elite team of experts who prepared the judges and prosecutors for "the mother of all trials." Michael Scharf, a former State Department official who helped create the Yugoslavia Tribunal in 1993, and Michael Newton, then a professor at West Point, would confront such issues as whether the death penalty should apply, how to run a fair trial when political and military passions run so high, and which of Saddam's many crimes should be prosecuted. Newton was in Baghdad in December 2003 when the Tribunal was announced and Saddam was captured. In the following months, Scharf and Newton helped write the rules of the Tribunal, conducted a mock trial in (perhaps appropriately) Stratford-upon-Avon, England, and provided legal analysis on dozens of issues. Newton then returned to Baghdad several times during the trial and appeal. Now, from its two shapers, comes the fascinating inside story of the trial and execution of Saddam Hussein and the attempt to bring the rule of law to post-invasion Iraq.
117 years Strong…and Counting! This all-new edition, which follows the Boston Marathon into the 21st century and through the tragedy of the 2013 race, is a colorful and moving portrait of what it feels like to run the world’s oldest annual marathon, escorting the reader through the past, present, and bright future of the race. 26.2 Miles to Boston is a rich, vibrant, and inspiring history of the Boston Marathon and of the men and women of varying abilities whose struggles and triumphs have colored this historic event for over a century. From suburban Hopkinton, Massachusetts, to the center of metropolitan Boston, the author takes readers through the mile-by-mile sights, sounds, and traditions that make the race what it is.
Solving optimization problems subject to constraints given in terms of partial d- ferential equations (PDEs) with additional constraints on the controls and/or states is one of the most challenging problems in the context of industrial, medical and economical applications, where the transition from model-based numerical si- lations to model-based design and optimal control is crucial. For the treatment of such optimization problems the interaction of optimization techniques and num- ical simulation plays a central role. After proper discretization, the number of op- 3 10 timization variables varies between 10 and 10 . It is only very recently that the enormous advances in computing power have made it possible to attack problems of this size. However, in order to accomplish this task it is crucial to utilize and f- ther explore the speci?c mathematical structure of optimization problems with PDE constraints, and to develop new mathematical approaches concerning mathematical analysis, structure exploiting algorithms, and discretization, with a special focus on prototype applications. The present book provides a modern introduction to the rapidly developing ma- ematical ?eld of optimization with PDE constraints. The ?rst chapter introduces to the analytical background and optimality theory for optimization problems with PDEs. Optimization problems with PDE-constraints are posed in in?nite dim- sional spaces. Therefore, functional analytic techniques, function space theory, as well as existence- and uniqueness results for the underlying PDE are essential to study the existence of optimal solutions and to derive optimality conditions.
Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.
Natural selection, as introduced by Charles Darwin in the Origin of Species (1859), has always been a topic of great conceptual and empirical interest. This book puts Darwin's theory of evolution in historical context showing that, in important respects, his central mechanism of natural selection gives the clue to understanding the nature of organisms. Natural selection has important implications, not just for the understanding of life's history – single-celled organism to man – but also for our understanding of contemporary social norms, as well as the nature of religious belief. The book is written in clear, non-technical language, appealing not just to philosophers, historians, and biologists, but also to general readers who find thinking about important issues both challenging and exciting.
Discover the practical impacts of current methods of optimization with this approachable, one-stop resource Linear and Convex Optimization: A Mathematical Approach delivers a concise and unified treatment of optimization with a focus on developing insights in problem structure, modeling, and algorithms. Convex optimization problems are covered in detail because of their many applications and the fast algorithms that have been developed to solve them. Experienced researcher and undergraduate teacher Mike Veatch presents the main algorithms used in linear, integer, and convex optimization in a mathematical style with an emphasis on what makes a class of problems practically solvable and developing insight into algorithms geometrically. Principles of algorithm design and the speed of algorithms are discussed in detail, requiring no background in algorithms. The book offers a breadth of recent applications to demonstrate the many areas in which optimization is successfully and frequently used, while the process of formulating optimization problems is addressed throughout. Linear and Convex Optimization contains a wide variety of features, including: Coverage of current methods in optimization in a style and level that remains appealing and accessible for mathematically trained undergraduates Enhanced insights into a few algorithms, instead of presenting many algorithms in cursory fashion An emphasis on the formulation of large, data-driven optimization problems Inclusion of linear, integer, and convex optimization, covering many practically solvable problems using algorithms that share many of the same concepts Presentation of a broad range of applications to fields like online marketing, disaster response, humanitarian development, public sector planning, health delivery, manufacturing, and supply chain management Ideal for upper level undergraduate mathematics majors with an interest in practical applications of mathematics, this book will also appeal to business, economics, computer science, and operations research majors with at least two years of mathematics training. Software to accompany the text can be found here: https://www.gordon.edu/michaelveatch/optimization
Introducing engineering students to numerical analysis and computing, this book covers a range of topics suitable for the first three years of a four year undergraduate engineering degree. The teaching of computing to engineers is hampered by the lack of suitable problems for the students to tackle, so much effort has gone into making the problems in this book realistic and relevant, while at the same time solvable for undergraduates. Taking a balanced approach to teaching computing and computer methods at the same time, this book satisfies the need to be able to use computers (using both formal languages such as Fortran and other applications such as Matlab and Microsoft Excel), and the need to be able to solve realistic engineering problems.
Measurement and Data Analysis for Engineering and Science, Fourth Edition, provides up-to-date coverage of experimentation methods in science and engineering. This edition adds five new "concept chapters" to introduce major areas of experimentation generally before the topics are treated in detail, to make the text more accessible for undergraduate students. These feature Measurement System Components, Assessing Measurement System Performance, Setting Signal Sampling Conditions, Analyzing Experimental Results, and Reporting Experimental Results. More practical examples, case studies, and a variety of homework problems have been added; and MATLAB and Simulink resources have been updated.
This work on the history of French Jewry, follows the reshaping of Franco-Jewish identity from legal emancipation after the French Revolution, through to the creation in 1860 of the Alliance Israelite Universelle, the first international Jewish organization devoted to the struggle for Jewish rights throughout the world.
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