A Short Course in Mathematical Methods with Maple PDF Download
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Author: Henrik Aratyn
Publisher: World Scientific
ISBN: 9812564616
Category : Mathematics
Languages : en
Pages : 720
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Book Description
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: Henrik Aratyn
Publisher: World Scientific
ISBN: 9812564616
Category : Mathematics
Languages : en
Pages : 720
Get Book Here
Book Description
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
ISBN: 0199230919
Category : Mathematics
Languages : en
Pages : 806
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Book Description
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
ISBN: 9813101946
Category : Science
Languages : en
Pages : 717
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Book Description
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: Harald J W Muller-kirsten
Publisher: World Scientific
ISBN: 9811287139
Category : Science
Languages : en
Pages : 588
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Book Description
The text covers the entire domain of basic classical mechanics and relativity theory (special and general) and has been revised mainly for the purpose of adding exercises without worked solutions that were missing in the first edition. To retain the format of a readable, yet advanced introductory text that can serve as the companion text for a course in mechanics, the more than 100 new exercises on diverse topics are of moderate range; answers are given and occasionally hints are provided. As before, the text aims to cover the entire spectrum of theoretical mechanics from Newton to Einstein. The reader can observe how in the course of time, deeper and deeper insights were achieved with the development of the basic equations of Newton to those of Euler and Lagrange, and to the geodesic equations of space-time and Einstein's relativity. To include diverse problems, a small section on this topic has been added.
Author: Selcuk S. Bayin
Publisher: John Wiley & Sons
ISBN: 1118626168
Category : Mathematics
Languages : en
Pages : 577
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Book Description
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: Bruno Apolloni
Publisher: Springer Science & Business Media
ISBN: 3540798633
Category : Computers
Languages : en
Pages : 503
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Book Description
Rem tene, verba sequentur (Gaius J. Victor, Rome VI century b.c.) The ultimate goal of this book is to bring the fundamental issues of information granularity, inference tools and problem solving procedures into a coherent, unified, and fully operational framework. The objective is to offer the reader a comprehensive, self-contained, and uniform exposure to the subject.The strategy is to isolate some fundamental bricks of Computational Intelligence in terms of key problems and methods, and discuss their implementation and underlying rationale within a well structured and rigorous conceptual framework as well as carefully related to various application facets. The main assumption is that a deep understanding of the key problems will allow the reader to compose into a meaningful mosaic the puzzle pieces represented by the immense varieties of approaches present in the literature and in the computational practice. All in all, the main approach advocated in the monograph consists of a sequence of steps offering solid conceptual fundamentals, presenting a carefully selected collection of design methodologies, discussing a wealth of development guidelines, and exemplifying them with a pertinent, accurately selected illustrative material.
Author: Ali V. Aliev
Publisher: CRC Press
ISBN: 1771882905
Category : Mathematics
Languages : en
Pages : 564
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Book Description
The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new vo
Author: Joseph M. Powers
Publisher: Cambridge University Press
ISBN: 1107037042
Category : Mathematics
Languages : en
Pages : 639
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Book Description
Designed for engineering graduate students, this book connects basic mathematics to a variety of methods used in engineering problems.
Author:
Publisher:
ISBN:
Category : Academic libraries
Languages : en
Pages : 772
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Book Description
Author: Victor Henner
Publisher: CRC Press
ISBN: 1439865167
Category : Mathematics
Languages : en
Pages : 852
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Book Description
This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that
