Computer Algebra Recipes for Mathematical Physics
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The emphasis is on using computer algebra as a tool for the derivation and the solution of nonlinear differential equations and encourages in-depth understanding of the physical and mathematical principles involved. Used extensively in this color-illustrated book, Lyapunov exponents are convenient tools for exploring models of chaotic systems. It is suitable for undergraduate students and requires no previous knowledge of Maple. Category: Computers Author : R. The recipes cover a great number of topicsâ€¦and each topic is subdivided into numerous examples. Aimed at undergraduates in their second or third year, this book is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, physics, and chemistry.

Examples and Programming Assignments The examples and programming assignments focus on computer science applications. The text includes a large number of Maple R recipes. It is a nice complement to a traditional mathematical methods in physics course, with plenty of problems for the teacher to choose from. It is suitable for undergraduate students and requires no previous knowledge of Maple. The use of such systems also leads to fewer errors and enables students to work on complex and computationally intensive models. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn.

A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. The programs in the book are of intrinsic interest, but their main purpose is to exhibit a useful programming style in Maple. Computer Algebra Recipes for Mathematical Physics may be used in the classroom, for self-study, as a reference, or as a text for an online course. Each recipe features a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention. The use of such systems also leads to fewer errors and enables students to work on complex and computationally intensive models. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each example begins with a humorous or witty citation from the writers of the past -- a good method to stimulate the reader.

The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn. . The book consists of short examples, each about 1-3 pages, which describe the problem studied and then provide a recipe to solve it. Rand over several years of graduate-level instruction in advanced dynamics, nonliner vibrations, and perturbation methods. It also includes a section on the applications of sciences to insurance and finance, an area which was of interest to Flato before it became fashionable. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with those found in traditional mathematical physics texts. The bulk of both volumes is on physical mathematics, where the reader will find these ingredients in various combinations, fundamental mathematical developments based on them, and challenging interpretations of physical phenomena.

The format of the book is very pleasant for the reader. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn. It also includes a section on the applications of sciences to insurance and finance, an area which was of interest to Flato before it became fashionable. The book consists of short examples, each about 1-3 pages, which describe the problem studied and then provide a recipe to solve it. Each recipe features a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention. Used extensively in this color-illustrated book, Lyapunov exponents are convenient tools for exploring models of chaotic systems.

This book is best suited for physicists but also mathematicians would find this text very useful. Aimed primarily at advanced undergraduate students of physics and applied math, the book will also be of value to anyone with an interest in a mathematical approach to their subject, in particular, chemists, astronomers, and life and earth scientists. Each example begins with a humorous or witty citation from the writers of the past -- a good method to stimulate the reader. This book is best suited for physicists but also mathematicians would find this text very useful. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics. The format of the book is very pleasant for the reader. The format of the book is very pleasant for the reader.

All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Computer algebra recipes for mathematical physics. Category: Mathematics Author : Richard H. The recipes cover a great number of topics. It also introduces the issues of numerical stability and round-off error, the discrete Fourier transform, and singular value decomposition. Their spectrum is wide but the various areas covered are, in fact, strongly interwoven by a common denominator, the unique personality and creativity of the scientist in whose honor the Conference was held, and the far-reaching vision that underlies his scientific activity. The applications covered are drawn from a range of computer science areas, including computer graphics, computer vision, robotics, natural language processing, web search, machine learning, statistical analysis, game playing, graph theory, scientific computing, decision theory, coding, cryptography, network analysis, data compression, and signal processing.

The focus throughout is on topics and examples that are particularly relevant to computer science applications; for example, there is an extensive discussion on the use of hidden Markov models for tagging text and a discussion of the Zipf inverse power law distribution. The bulk of both volumes is on physical mathematics, where the reader will find these ingredients in various combinations, fundamental mathematical developments based on them, and challenging interpretations of physical phenomena. Some parts will be accessible to proficient undergraduate students, and even to persons with a minimum of scientific knowledge but enough curiosity. The book is organized into two main parts: part I deals with exact computation, and covers topics from linear algebra, polynomial manipulation, calculus, special functions, integral equations, and the calculus of variations. Category: Mathematics Author : Arjeh M.