Mathematical Physics [E-Book] : Applications and Problems / by V. Balakrishnan.
This textbook is aimed at advanced undergraduate and graduate students interested in learning the fundamental mathematical concepts and tools widely used in different areas of physics. The author draws on a vast teaching experience, and presents a comprehensive and self-contained text which explains...
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Full text |
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Personal Name(s): | Balakrishnan, V., author |
Edition: |
1st edition 2020. |
Imprint: |
Cham :
Springer,
2020
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Physical Description: |
XXVII, 781 pages 137 illustrations, 1 illustrations in color (online resource) |
Note: |
englisch |
ISBN: |
9783030396800 |
DOI: |
10.1007/978-3-030-39680-0 |
Subject (LOC): |
- Chapter 1: Warming up: Functions of a real variable
- Chapter 2: Gaussian integrals, Stirling's formula, and some integrals
- Chapter 3: Some more functions
- Chapter 4: Generalized functions
- Chapter 5: Vectors and tensors
- Chapter 6: Vector calculus
- Chapter 7: A bit of fluid dynamics
- Chapter 8: Some more vector calculus
- Chapter 9: A bit of electromagnetism and special relativity
- Chapter 10: Linear vector spaces
- Chapter 11: A look at matrices
- Chapter 12: More about matrices
- Chapter 13: Infinite-dimensional vector spaces
- Chapter 14: Linear operators on a vector space
- Chapter 15: Operator algebras and identities
- Chapter 16: Orthogonal polynomials
- Chapter 17: Fourier series
- Chapter 18: Fourier integrals
- Chapter 19: Discrete probability distributions
- Chapter 20: Continuous probability distributions
- Chapter 21: Stochastic processes
- Chapter 22: Analytic functions of a complex variable
- Chapter 23: More on analytic functions
- Chapter 24: Linear response and analyticity
- Chapter 25: Analytic continuation and the gamma function
- Chapter 26: Multivalued functions and integral representations
- Chapter 27: Mobius transformations
- Chapter 28: Laplace transforms
- Chapter 29: Green function for the Laplacian operator
- Chapter 30: The diffusion equation
- Chapter 31: The wave equation
- Chapter 32: Integral equations.