
- 398 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Elements of Mathematical Methods for Physics
About this book
Elements of Mathematical Methods for Physics provides students with an approachable and innovative introduction to key concepts of mathematical physics, accompanied by clear and concise explanations, relevant real-world examples and problems that help them to master the fundamentals of mathematical physics. The topics are presented at a basic level, for students lacking a prior mathematical background.
This book is designed to be covered in two semesters, presenting 18 chapters on topics varying from differential equations, matrix algebra and tensor analysis to Fourier transform, including special functions and dynamical systems.
Upper-level undergraduate and graduate students of physics and engineering as well as professionals will gain a better grip of the basics and a deeper insight into and appreciation for mathematical methods for physics.
Key Features:
• Reviews and presents the basic math skills needed at the undergraduate level.
• Chapters accompanied by examples and end-of-chapter problems to enhance understanding.
• Introduces dynamical systems and includes a chapter on Hilbert Space
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Information
Table of contents
- Cover
- Half-Title
- Title
- Copyright
- Contents
- Foreword
- Preface
- Symbols and Notations
- Chapter 1 Elements of Ordinary Differential Equations
- Chapter 2 Elements of Partial Differential Equations
- Chapter 3 Vector Analysis
- Chapter 4 Matrix Algebra
- Chapter 5 Tensor Analysis
- Chapter 6 Differential Forms
- Chapter 7 Infinite Sequences and Series
- Chapter 8 Functions of a Complex Variable
- Chapter 9 Fourier Series
- Chapter 10 Fourier Transform
- Chapter 11 Laplace Transform
- Chapter 12 Special Functions
- Chapter 13 Green’s Function
- Chapter 14 Integral Equations
- Chapter 15 Introduction to Dynamical Systems
- Chapter 16 Variational Methods
- Chapter 17 Introduction to Banach and Hilbert’s Spaces
- Chapter 18 Probability and Statistics
- Appendix A: Basic Laws of Electromagnetism
- Appendix B: Introduction to Lebesgue Theory
- Bibliography
- Index