Kantorovich L. Mathematics for Natural Scientists II...2016

Textbook in PDF format

This book covers the advanced mathematical techniques useful for physics and engineering students, presented in a form accessible to physics students, avoiding precise mathematical jargon and laborious proofs. Instead, all proofs are given in a simplified form that is clear and convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each chapter.
Mathematics for Natural Scientists II: Advanced Methods is the second of two volumes. It follows the first volume on Fundamentals and Basics.
Elements of Linear Algebra
Complex Numbers and Functions
Fourier Series
Special Functions
Fourier Transform
Laplace Transform
Curvilinear Coordinates
Partial Differential Equations of Mathematical Physics
Calculus of Variations