A Short Course In Mathematical Methods With Maple
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Author | : Henrik Aratyn |
Publisher | : World Scientific |
Total Pages | : 720 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9812564616 |
This unique book provides a streamlined, self-contained and modern text for a one-semester mathematical methods course with an emphasis on concepts important from the application point of view. Part I of this book follows the ?paper and pencil? presentation of mathematical methods that emphasizes fundamental understanding and geometrical intuition. In addition to a complete list of standard subjects, it introduces important, contemporary topics like nonlinear differential equations, chaos and solitons. Part II employs the Maple software to cover the same topics as in Part I in a computer oriented approach to instruction. Using Maple liberates students from laborious tasks while helping them to concentrate entirely on concepts and on better visualizing the mathematical content. The focus of the text is on key ideas and basic technical and geometric insights presented in a way that closely reflects how physicists and engineers actually think about mathematics.
Author | : Godfrey Beddard |
Publisher | : Oxford University Press, USA |
Total Pages | : 806 |
Release | : 2009-09-03 |
Genre | : Mathematics |
ISBN | : 0199230919 |
Godfrey Beddard is Professor of Chemical Physics in the School of Chemistry, University of Leeds, where his research interests encompass femtosecond spectroscopy, electron and energy transfer, and protein folding and unfolding. 1. Numbers, Basic Functions, and Algorithms 2. Complex Numbers 3. Differentiation 4. Integration 5. Vectors 6. Matrices and Determinants 7. Matrices in Quantum Mechanics 8. Summations, Series, and Expansion of Functions 9. Fourier Series and Transforms 10. Differential Equations 11. Numerical Methods 12. Monte-carlo Methods 13. Statistics and Data Analysis
Author | : Henrik Aratyn |
Publisher | : World Scientific Publishing Company |
Total Pages | : 717 |
Release | : 2005-12-22 |
Genre | : Science |
ISBN | : 9813101946 |
This unique book provides a streamlined, self-contained and modern text for a one-semester mathematical methods course with an emphasis on concepts important from the application point of view. Part I of this book follows the “paper and pencil” presentation of mathematical methods that emphasizes fundamental understanding and geometrical intuition. In addition to a complete list of standard subjects, it introduces important, contemporary topics like nonlinear differential equations, chaos and solitons. Part II employs the Maple software to cover the same topics as in Part I in a computer oriented approach to instruction. Using Maple liberates students from laborious tasks while helping them to concentrate entirely on concepts and on better visualizing the mathematical content. The focus of the text is on key ideas and basic technical and geometric insights presented in a way that closely reflects how physicists and engineers actually think about mathematics.
Author | : Selcuk S. Bayin |
Publisher | : John Wiley & Sons |
Total Pages | : 577 |
Release | : 2013-06-05 |
Genre | : Mathematics |
ISBN | : 1118626168 |
A complete introduction to the multidisciplinary applications of mathematical methods In order to work with varying levels of engineering and physics research, it is important to have a firm understanding of key mathematical concepts such as advanced calculus, differential equations, complex analysis, and introductory mathematical physics. Essentials of Mathematical Methods in Science and Engineering provides a comprehensive introduction to these methods under one cover, outlining basic mathematical skills while also encouraging students and practitioners to develop new, interdisciplinary approaches to their research. The book begins with core topics from various branches of mathematics such as limits, integrals, and inverse functions. Subsequent chapters delve into the analytical tools that are commonly used in scientific and engineering studies, including vector analysis, generalized coordinates, determinants and matrices, linear algebra, complex numbers, complex analysis, and Fourier series. The author provides an extensive chapter on probability theory with applications to statistical mechanics and thermodynamics that complements the following chapter on information theory, which contains coverage of Shannon's theory, decision theory, game theory, and quantum information theory. A comprehensive list of references facilitates further exploration of these topics. Throughout the book, numerous examples and exercises reinforce the presented concepts and techniques. In addition, the book is in a modular format, so each chapter covers its subject thoroughly and can be read independently. This structure affords flexibility for individualizing courses and teaching. Providing a solid foundation and overview of the various mathematical methods and applications in multidisciplinary research, Essentials of Mathematical Methods in Science and Engineering is an excellent text for courses in physics, science, mathematics, and engineering at the upper-undergraduate and graduate levels. It also serves as a useful reference for scientists and engineers who would like a practical review of mathematical methods.
Author | : Gerda de Vries |
Publisher | : SIAM |
Total Pages | : 307 |
Release | : 2006-07-01 |
Genre | : Mathematics |
ISBN | : 0898718252 |
This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.
Author | : |
Publisher | : |
Total Pages | : 772 |
Release | : 2006 |
Genre | : Academic libraries |
ISBN | : |
Author | : Ian Thompson |
Publisher | : Cambridge University Press |
Total Pages | : 237 |
Release | : 2016-11-14 |
Genre | : Computers |
ISBN | : 1316628140 |
This book explains the key features of Maple, with a focus on showing how things work, and how to avoid common problems.
Author | : Frank Y. Wang |
Publisher | : Wiley-VCH |
Total Pages | : 636 |
Release | : 2006-03-17 |
Genre | : Computers |
ISBN | : |
A resource for mathematical methods in physics using MAPLE. Through problems from core courses in the physics curriculum, this book guides students to apply analytical and numerical techniques in mathematical physics, and present the results in interactive graphics.
Author | : Ronald W. Shonkwiler |
Publisher | : Springer Science & Business Media |
Total Pages | : 552 |
Release | : 2009-08-04 |
Genre | : Science |
ISBN | : 0387709843 |
This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics.
Author | : Zhilin Li |
Publisher | : World Scientific |
Total Pages | : 218 |
Release | : 2021-09-23 |
Genre | : Mathematics |
ISBN | : 9811228647 |
The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations.The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions.The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area.