Mathematics for Physicists

This book covers the necessary aspects of mathematics for graduate students in physics and engineering. Advanced undergraduate students and researchers who intend to enter the field of theoretical physics can also pick up this book. The first eight chapters include variational method, Hilbert space and operators, ordinary linear differential equations, Bessel functions, Dirac delta function, the Green's function in mathematical physics, norm, integral equations. Beside these traditional contents, the last two chapters introduce some recent achievements of scientific research while presenting their mathematical background. Like the basis of number theory and its application in physics, material science and other scientific fields, the fundamental equations in spaces with arbitrary dimensions, not limited to Euclid space; Pseudo spherical coordinates. Plain terminologies were used to present the concept of metric, as well as new and interesting work on the Klein-Gorden equation and Maxwell equation.

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Contents:Variational MethodHilbert SpaceLinear Ordinary Differential Equations of Second OrderBessel EquationsThe Dirac Delta FunctionGreen's FunctionNormIntegral EquationsApplication of Number Theory in Inverse Problems in PhysicsFundamental Equations in Spaces with Arbitrary Dimensions
Readership: University teaching assistants in physics courses, physics educators and curriculum officials.
Variational Method;Hilbert Space;Ordinary Linear Differential Equation;Bessel Function;Dirac Delta Function;Green Function;Number Theory;De Sitter SpaceKey Features:Number theory and its applications in physics, not introduced by any other textbook; Non-Euclid space, the Schrodinger equation and Maxwell equations in de Sitter spacetime are solved, which are the newest resultsA systematical introduction of Dirac delta function, not seen in any other textbook of the same kind