Mathematical Methods For Physicist

The current attempt to emulate human sapience (wisdom) by artificial means should be a step in the right direction beyond the Artificial/Computational Intelligence and Soft Computing disciplines, but is it warranted? Have humans achieved a level of modeling smart systems that justifies talking about sapience-wisdom?

The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories.

by Lev Kantorovich (Author)
Provides an exceptionally concise and clear treatment of essential mathematical methods used in physics and engineering
Each chapter contains practice problems and solutions
Can be used as the basis for a one-semester undergraduate mathematics course for physics and engineering majors

This book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book.

This book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book.

This book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book.
Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume.

Albert Einstein: Physicist, Philosopher, Humanitarian examines Einstein's revolutionary innovations in physics, his philosophical reflections on the methods and foundations of science, and his public efforts championing a variety of social causes. By the end of these 24 lectures, you'll have become better acquainted with the whole Einstein—his scientific ideas, his personal philosophies, his thought processes, and his impact on both his time and ours.