Описание: This textbook is a self-contained introduction to partial differential equations. It has been designed for undergraduates and first year graduate students majoring
in mathematics, physics, engineering, or science. The text provides an introduction to the basic equations of mathematical physics and the properties of their solutions, based on
classical calculus and ordinary differential equations.
Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also
Автор: Bellomo Nicola, Preziosi Luigi, Romano Antonio Название: Mechanics and Dynamical Systems with Mathematica ISBN: 081764007X ISBN-13(EAN): 9780817640071 Издательство: Springer Рейтинг: Цена: 8788 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Providing a unified treatment of the subject, this text addresses modelling, qualitative analysis and simulation of real physical systems using ordinary differential equations. The scientific computational aspects are presented using the computer program, Mathematica.
Автор: Boccara Название: Essentials of Mathematica ISBN: 0387495134 ISBN-13(EAN): 9780387495132 Издательство: Springer Рейтинг: Цена: 6347 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Essential Mathematica: With Applications to Mathematics and Physics, based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergrad and graduate students, teaches how to use Mathematica to solve a wide variety problems in mathematics and physics. It is illustrated with many detailed examples that require the student to construct meticulous, step-by-step, easy to read Mathematica programs.The first section, in which the reader learns how to use a variety of Mathematica commands, avoids long discussions and overly sophisticated techniques. Its aim is to provide the reader with Mathematica proficiency quickly and efficiently.The second section covers a broad range of applications in physics, engineering and applied mathematics, including Egyptian Fractions, Happy Numbers, Mersenne Numbers, Multibases, Quantum Harmonic Oscillator, Quantum Square Potential, Van der Pol Oscillator, Electrostatics, Motion of a Charged Particle in an Electromagnetic Field, Duffing Oscillator, Negative and Complex Bases, Tautochrone Curves, KeplerвЂ™s Laws, FoucaultвЂ™s Pendulum, Iterated Function Systems, Public-Key Encryption, and Julia and Mandelbrot Sets.The first part - examples, not long explanations. The second part-attractive applications.
Описание: This volume consists of papers delivered at the International Mathematica Symposium 2003 - an interdisciplinary meeting bringing together users of
Mathematica in research and education. It gathers research papers, reports on classroom practice, reports on the use of Mathematica in industry and commerce, and descriptions of
Автор: Coombes Название: Multivariate Calculus and Mathematica ISBN: 0387983600 ISBN-13(EAN): 9780387983608 Издательство: Springer Рейтинг: Цена: 4906 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: One of the authors' stated goals for this publication is to "modernize" the course through the integration of Mathematica. Besides introducing students to the
multivariable uses of Mathematica, and instructing them on how to use it as a tool in simplifying calculations, they also present introductions to geometry, mathematical physics, and
kinematics, topics of particular interest to engineering and physical science students. In using Mathematica as a tool, the authors take pains not to use it simply to define things as a
whole bunch of new "gadgets" streamlined to the taste of the authors, but rather they exploit the tremendous resources built into the program.
so make it clear that Mathematica is not algorithms. At the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler.The problem sets
give students an opportunity to practice their newly learned skills, covering simple calculations with Mathematica, simple plots, a review of one-variable calculus using Mathematica for
symbolic differentiation, integration and numerical integration. They also cover the practice of incorporating text and headings into a Mathematica notebook.
DOS-formatted diskette accompanies the printed work, containing both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students. This
supplementary work can be used with any standard multivariable calculus textbook. It is assumed that in most cases students will also have access to an introductory primer for
Описание: This is the first book which explicitly uses Mathematica (computer algebra system) to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Heretofore time-consuming and cumbersome calculations if done by hand, are much more easily and quickly performed via the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, should be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. This book contains a large number of working examples relating to these applications of Lie's theory. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which provide users with the capability of directly interacting with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool to perform algebraic computations.
Описание: The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject. Among a big number of CAS, we choose the two systems, Maple and Mathematica, that are used worldwide by students, research mathematicians, scientists, and engineers. As in the our previous books, we propose the idea to use in parallel both systems, Maple and Mathematica, since in many research problems frequently it is required to compare independent results obtained by using different computer algebra systems, Maple and/or Mathematica, at all stages of the solution process. One of the main points (related to CAS) is based on the implementation of a whole solution method (e.g. starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g. with asymptotic solution).
Автор: Wellin Название: Essentials of Programming in Mathematica ® ISBN: 110711666X ISBN-13(EAN): 9781107116665 Издательство: Cambridge Academ Рейтинг: Цена: 5521 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Essentials of Programming in Mathematica® provides an introduction suitable for readers with little or no background in the language as well as for those with some experience using programs such as C, Java, or Perl. The author, an established authority on Mathematica® programming, has written an example-driven text that covers the language from first principles, as well as including material from natural language processing, bioinformatics, graphs and networks, signal analysis, geometry, computer science, and many other applied areas. The book is appropriate for self-study or as a text for a course in programming in computational science. Readers will benefit from the author's tips, which provide insight and suggestions on small and large points. He also provides more than 350 exercises from novice through to advanced level with all of the solutions available online.
Описание: Introduces the Mathematica software program and its application for performing numerical calculations, symbolic calculations, and graphing to solve engineering problems. The guide contains 130 worked-out examples and 400 problems that correspond to chapters in the Advanced Engineering Mathematics textbook by the same author. Annotation c. Book News
Описание: Computational physics is that branch of the field that concerns itself with translating and solving the physical laws of the universe in terms of mathematics. As such it interacts with all other areas of physics. This book is written from the perspective of a physicist, not a mathematician, with an emphasis on modern practical applications in the physical and engineering sciences. The book itself is written in the language of Mathematica, a widely used software program in in engineering and physics.
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