Length7h 4m
About this audiobook
"Foundations of Mathematical Physics" is a compelling introduction for undergraduates venturing into the intricate relationship between mathematics and physics. We navigate the core principles that sculpt the universe, from the quantum to the cosmic scale, making this book an essential companion for students unraveling the physical world's mysteries through mathematical lenses.
Structured to bridge theoretical concepts with practical applications, we meticulously unfold the marvels of mathematical physics, ensuring each topic is approachable without sacrificing depth. This book offers a unique blend of theory, worked examples, and problem sets that challenge and engage students, facilitating deep comprehension.
We stand out by demystifying complex ideas, making this an invaluable resource for students with varied proficiency in mathematics or physics. Whether you aim to grasp the fundamentals of quantum mechanics, delve into special relativity's elegance, or understand general relativity's geometric beauty, this book paves the path for a profound understanding of the universe through mathematical frameworks.
Embark on this intellectual journey to discover how mathematical physics illuminates the universe's workings in an accessible and inspiring way.
Audiobook details
GenreScience and Nature, Education and Learning
Length7 hrs 4 mins
Narrated byListen with 1,000+ voices
FormateBook with Audio
Publish dateFeb 20, 2025
LanguageEnglish
Table of contents
1Introduction to Mathematical Physics
21.1 The Role of Mathematics in Physics
31.2 Historical Overview
41.3 Fundamental Concepts
51.4 Mathematical Preliminaries
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61.5 Units and Dimensions
71.6 Problem-Solving Strategies
8Vector Analysis
92.1 Vectors and Vector Operations
102.2 Vector Fields
112.3 Gradient, Divergence, and Curl
122.4 Line Integrals
132.5 Surface Integrals
142.6 Integral Theorems (Green’s, Stokes’, and Gauss’s Theorems)
152.7 Applications in Physics
16Matrices and Linear Algebra
173.1 Matrices and Matrix Operations
183.2 Systems of Linear Equation
193.3 Vector Spaces
203.4 Linear Transformations
213.5 Eigenvalues and Eigenvectors
223.6 Diagonalization
233.7 Applications in Physics
24Complex Analysis
254.1 Complex Numbers and Functions
264.2 Analytic Functions
274.3 Cauchy-Riemann Conditions
284.4 Complex Integration
294.4.1 Complex Line Integrals
304.4.2 Cauchy-Goursat Theorem: 4.4.3 Cauchy’s Integral Formula
314.5 Cauchy’s Integral Theorem and Formulas
324.5.1 Cauchy’s Integral Theorem
334.5.2 Cauchy’s Integral Formula: 4.5.3 Cauchy’s Derivative Formulas
344.6 Laurent Series and Residue Theory
354.6.1 Laurent Series
364.6.2 Residue Theory: 4.6.3 Applications of Residue Theory
374.7 Applications in Physics
384.7.1 Electromagnetism
394.7.2 Quantum Mechanics
404.7.3 Fluid Dynamics and Aerodynamics
414.7.4 Signal Processing and Communication Theory
42Ordinary Differential Equations
435.1 First-Order Differential Equations
445.1.1 Separable Differential Equations
455.1.2 Linear Differential Equations: 5.1.3 Exact Differential Equations
465.2 Second-Order Linear Differential Equations
475.2.1 Homogeneous Equations
485.2.2 Non-Homogeneous Equations: 5.2.3 Cauchy-Euler Equations
495.3 Series Solutions
505.3.1 Power Series Solutions: 5.3.2 Frobenius Method
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