Mathematics for Physicists 1st edition by Brian Martin, Graham Shaw – Ebook PDF Instant Download/Delivery: 0470660228, 978-0470660225
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Product details:
ISBN 10: 0470660228
ISBN 13: 978-0470660225
Author: Brian Martin, Graham Shaw
Mathematics for Physicists is a relatively short volume covering all the essential mathematics needed for a typical first degree in physics, from a starting point that is compatible with modern school mathematics syllabuses. Early chapters deliberately overlap with senior school mathematics, to a degree that will depend on the background of the individual reader, who may quickly skip over those topics with which he or she is already familiar. The rest of the book covers the mathematics that is usually compulsory for all students in their first two years of a typical university physics degree, plus a little more. There are worked examples throughout the text, and chapter-end problem sets.
Mathematics for Physicists features:
- Interfaces with modern school mathematics syllabuses
- All topics usually taught in the first two years of a physics degree
- Worked examples throughout
- Problems in every chapter, with answers to selected questions at the end of the book and full solutions on a website
This text will be an excellent resource for undergraduate students in physics and a quick reference guide for more advanced students, as well as being appropriate for students in other physical sciences, such as astronomy, chemistry and earth sciences.
Mathematics for Physicists 1st Table of contents:
Part 1: Foundations
- Chapter 1: Real Numbers, Variables, and Functions
- Real number system
- Functions and their graphs
- Limits and continuity
- Differentiation
- Integration
- Chapter 2: Some Basic Functions and Equations
- Trigonometric functions
- Exponential and logarithmic functions
- Hyperbolic functions
- Solution of equations
Part 2: Calculus
- Chapter 3: Differential Calculus
- Derivatives and their applications
- Taylor series and expansions
- Partial differentiation
- Chapter 4: Integral Calculus
- Integration techniques
- Multiple integrals
- Line integrals and surface integrals
Part 3: Linear Algebra
- Chapter 5: Vectors
- Vector algebra
- Scalar and vector products
- Vector fields
- Chapter 6: Matrices and Determinants
- Matrix operations
- Determinants and eigenvalues
- Eigenvectors and diagonalization
- Chapter 7: Linear Transformations
Part 4: Complex Analysis
- Chapter 8: Complex Numbers and Variables
- Complex numbers and their operations
- Complex functions
- Cauchy-Riemann equations
- Complex integration
Part 5: Special Functions and Techniques
- Chapter 9: Series and Expansions
- Taylor and Maclaurin series
- Fourier series
- Special functions (e.g., Bessel functions, Legendre polynomials)
- Chapter 10: Differential Equations
- Ordinary differential equations
- Partial differential equations
- Separation of variables
- Laplace transforms
Part 6: Numerical Methods
- Chapter 11: Numerical Methods
- Numerical integration
- Root-finding methods
- Numerical solutions of differential equations
Appendices
- Appendix A: Tables of Integrals and Derivatives
- Appendix B: Glossary of Terms
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