Mathematics for Natural Scientists II
Advanced Methods

Authors: Lev Kantorovich



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 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.

Table of contents

Front Matter
Pages i-xvii

Elements of Linear Algebra
Pages 1-124

Complex Numbers and Functions
Pages 125-247

Fourier Series
Pages 249-298

Special Functions
Pages 299-400

Fourier Transform
Pages 401-443

Laplace Transform
Pages 445-498

Curvilinear Coordinates
Pages 499-543

Partial Differential Equations of Mathematical Physics
Pages 545-608

Calculus of Variations
Pages 609-667

Back Matter
Pages 669-675

原版 PDF + EPUB:

Mathematics for Natural Scientists: Fundamentals and Basics
https://bbs.pinggu.org/thread-4977918-1-1.html

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