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 | : Edward A. Bender |
| Publisher | : Courier Corporation |
| Total Pages | : 273 |
| Release | : 2012-05-23 |
| Genre | : Mathematics |
| ISBN | : 0486137120 |
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
