Hey there, fellow physics enthusiasts! If you're looking for some great books to learn mathematical physics, you've come to the right place. In this blog post, I'll share with you my personal list of important mathematical physics books that I've found useful and interesting. Whether you're a beginner or an advanced learner, you'll find something here that suits your needs and interests.

Here's my list of books, in no particular order:

1. H.K. DASS mathematical physics: This book covers the basics of mathematical physics, such as vector analysis, complex numbers, matrices, differential equations, Fourier series, special functions, and more. It also includes many solved examples and exercises to help you practice and master the concepts. Click to download 👈
2. Advanced Engineering Mathematics by Erwin Kreyszig: This book is a classic reference for engineering mathematics, covering topics such as linear algebra, differential equations, complex analysis, numerical methods, optimization, and more. It also has a lot of applications in various fields of engineering and science. Click to download 👈
3. Mathematics for Physics by Michael Stone and Paul Goldbart: This book is a comprehensive introduction to the mathematics needed for physics, such as calculus, linear algebra, differential geometry, group theory, functional analysis, and more. It also explains the physical meaning and relevance of the mathematical concepts and methods. Click to download 👈
4. Complex Variables and Applications by dual v. Churchill: This book is a clear and concise introduction to complex analysis, covering topics such as complex functions, integration, series, residues, conformal mapping, and more. It also has many applications to physics and engineering problems. Click to download 👈
5. Partial differential equation: This book is a thorough introduction to partial differential equations (PDEs), covering topics such as classification, separation of variables, Fourier series, Fourier transform, Laplace transform, Green's functions, boundary value problems, and more. It also has many examples and exercises from physics and engineering. Click to download 👈
6. Elements of partial differential equations: This book is a shorter and simpler introduction to PDEs, covering topics such as first-order equations, second-order equations, wave equation, heat equation, Laplace equation, and more. It also has some applications to physics and engineering problems. Click to download 👈
7. Introductory methods of numerical analysis by s.s. sastry: This book is a practical guide to numerical methods for solving various types of mathematical problems, such as interpolation, differentiation, integration, root finding, linear systems, eigenvalues, ordinary differential equations, partial differential equations, and more. It also has many examples and exercises using MATLAB. Click to download 👈
8. Linear Algebra and its Applications by Gilbert Strang: This book is a modern and engaging introduction to linear algebra, covering topics such as matrices, vector spaces, linear transformations, eigenvalues, orthogonality, least square s, singular value decomposition, and more. It also has many applications in data science, computer science, engineering, and physics. Click to download 👈
9. Linear Algebra by Kenneth Hoffman: This book is a rigorous and abstract introduction to linear algebra, covering topics such as vector spaces, linear independence, bases, dimensions, linear transformations, matrices, determinants, eigenvalues, inner product spaces, normed spaces, and more. It also has many proofs and exercises to help you develop your mathematical skills. Click to download 👈
10. Mathematical methods for physicists by b. Arfken: This book is a comprehensive reference for mathematical methods for physics, covering topics such as vector analysis, tensor analysis, complex analysis, differential equations, special functions, integral transforms, calculus of variations, integral equations, Green's functions, group theory, and more. It also has many examples and problems from various branches of physics. Click to download 👈
11. Mathematical methods for physics and engineering: This book is a similar reference for mathematical methods for physics and engineering, covering topics such as complex numbers, matrices, vector calculus, ordinary differential equations, partial differential equations, Fourier analysis, Laplace transform, special functions, calculus of variations, integral equations, Green's functions, probability and statistics, group theory, and more. It also has many examples and problems from various fields of science and engineering. Click to download 👈
12. Mathematical Methods in the Physical Sciences by Mary L. Boas: This book is a popular textbook for mathematical methods for physics students, covering topics such as infinite series, complex numbers, linear algebra, vector calculus, ordinary differential equations, partial differential equations, Fourier series, Fourier transform, Laplace transform, special functions, calculus of variations, tensor analysis, and more. It also has many examples and exercises from physics. Click to download 👈
13. Mathematical Methods for physicist by tail. chow: This book is another textbook for mathematical methods for physics students, covering topics such as vector analysis, complex analysis, differential equations, special functions, integral transforms, calculus of variations, integral equations, Green's functions, group theory, and more. It also has many examples and exercises from physics. Click to download 👈
14. Introduction to Probability by Snell and Grinstead: This book is an accessible and fun introduction to probability, covering topics such as basic concepts, combinatorics, conditional probability, Bayes' theorem, random variables, expectation, variance, distributions, central limit theorem, Markov chains, and more. It also has many examples and exercises from various fields of science and everyday life. Click to download 👈
15. Numerical Methods for engineers and Scientists by Joe D. Hoffman: This book is a user-friendly guide to numerical methods for solving various types of mathematical problems, such as interpolation, differentiation, integration, root finding, optimization, linear systems, eigenvalues, ordinary differential equations, partial differential equations, and more. It also has many examples and exercises using MATLAB and Excel. Click to download 👈
16. INTRODUCTION TO TENSOR CALCULUS AND CONTINUUM MECHANICS: This book is a self-contained introduction to tensor calculus and continuum mechanics, covering topics such as tensor algebra, tensor analysis, curvilinear coordinates, metric tensor, covariant differentiation, Christoffel symbols, Riemann tensor, Einstein's field equations, stress tensor, strain tensor, constitutive equations, and more. It also has many examples and exercises from mechanics and relativity. Click to download 👈
17. Introductory Computational Physics Klein & Godunov: This book is a hands-on introduction to computational physics, covering topics such as numerical methods, error analysis, simulation techniques, Monte Carlo methods, molecular dynamics, statistical mechanics, electrodynamics, quantum mechanics, and more. It also has many examples and exercises using Python and C++. Click to download 👈
18. Introductory Functional Analysis With Applications [Kreyszig]: This book is a clear and concise introduction to functional analysis, covering topics such as normed spaces, Banach spaces, Hilbert spaces, linear operators, bounded operators,  linear functionals,  dual spaces, adjoint operators, spectral theory, compact operators, Fredholm theory, and more. It also has many applications to differential equations, integral equations, optimization, approximation theory, and physics. Click to download 👈
19. Mathematical Physics A Modern Introduction to Its Foundations: This book is a comprehensive and modern introduction to mathematical physics, covering topics such as vector analysis, complex analysis, differential equations, special functions, integral transforms, calculus of variations, integral equations, Green's functions, group theory, Lie algebras, representation theory, differential geometry, topology, functional analysis, operator theory, spectral theory, quantum mechanics, quantum field theory, statistical mechanics, and more. It also has many examples and exercises from various branches of physics. Click to download 👈
20. Mathews J & Walker R L. Mathematical Methods of Physics: This book is a classic textbook for mathematical methods for physics students, covering topics such as vector analysis, complex analysis, differential equations, special functions, integral transforms, calculus of variations, integral equations, Green's functions, group theory, and more. It also has many examples and exercises from physics. Click to download 👈
21. Methods of Mathematical Physics - Intro: This book is a short and simple introduction to mathematical methods for physics students, covering topics such as vector analysis, complex analysis, differential equations, Fourier series, Fourier transform, Laplace transform, special functions, calculus of variations, integral equations, Green's functions, and more. It also has some examples and exercises from physics. Click to download 👈