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Essentials of Mathematical Methods in Science and Engineering
About This Book
A comprehensive introduction to the multidisciplinary applications of mathematical methods, revised and updated
The second edition of Essentials of Mathematical Methods in Science and Engineering offers an introduction to the key mathematical concepts of advanced calculus, differential equations, complex analysis, and introductory mathematical physics for students in engineering and physics research. The book's approachable style is designed in a modular format with each chapter covering a subject thoroughly and thus can be read independently.
This updated second edition includes two new and extensive chapters that cover practical linear algebra and applications of linear algebra as well as a computer file that includes Matlab codes. To enhance understanding of the material presented, the text contains a collection of exercises at the end of each chapter. The author offers a coherent treatment of the topics with a style that makes the essential mathematical skills easily accessible to a multidisciplinary audience. This important text:
ā¢ Includes derivations with sufficient detail so that the reader can follow them without searching for results in other parts of the book
ā¢ Puts the emphasis on the analytic techniques
ā¢ Contains two new chapters that explore linear algebra and its applications
ā¢ Includes Matlab codes that the readers can use to practice with the methods introduced in the book
Written for students in science and engineering, this new edition of Essentials of Mathematical Methods in Science and Engineering maintains all the successful features of the first edition and includes new information.
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Table of contents
- Cover
- Table of Contents
- Preface
- Acknowledgments
- CHAPTER 1: FUNCTIONAL ANALYSIS
- CHAPTER 2: VECTOR ANALYSIS
- CHAPTER 3: GENERALIZED COORDINATES AND TENSORS
- CHAPTER 4: DETERMINANTS AND MATRICES
- CHAPTER 5: LINEAR ALGEBRA
- CHAPTER 6: PRACTICAL LINEAR ALGEBRA
- CHAPTER 7: APPLICATIONS OF LINEAR ALGEBRA
- CHAPTER 8: SEQUENCES AND SERIES
- CHAPTER 9: COMPLEX NUMBERS AND FUNCTIONS
- CHAPTER 10: COMPLEX ANALYSIS
- CHAPTER 11: ORDINARY DIFFERENTIAL EQUATIONS
- CHAPTER 12: SECONDāORDER DIFFERENTIAL EQUATIONS AND SPECIAL FUNCTIONS
- CHAPTER 13: BESSEL'S EQUATION AND BESSEL FUNCTIONS
- CHAPTER 14: PARTIAL DIFFERENTIAL EQUATIONS AND SEPARATION OF VARIABLES
- CHAPTER 15: FOURIER SERIES
- CHAPTER 16: FOURIER AND LAPLACE TRANSFORMS
- CHAPTER 17: CALCULUS of VARIATIONS
- CHAPTER 18: PROBABILITY THEORY AND DISTRIBUTIONS
- CHAPTER 19: INFORMATION THEORY
- Further Reading
- INDEX
- End User License Agreement