【数学方法】 Mathematics for Natural Scientists: Fundamentals and Basics (2016)

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Mathematics for Natural Scientists
Fundamentals and Basics

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 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.

Table of contents

Front Matter
Pages i-xvii

Fundamentals
Front Matter
Pages 1-1

Basic Knowledge
Pages 3-66

Functions
Pages 67-119

Basics
Front Matter
Pages 121-121

Derivatives
Pages 123-173

Integral
Pages 175-259

Functions of Many Variables: Differentiation
Pages 261-313

Functions of Many Variables: Integration
Pages 315-415

Infinite Numerical and Functional Series
Pages 417-453

Ordinary Differential Equations
Pages 455-520

Back Matter
Pages 521-526

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  Mathematics for Natural Scientists II: Advanced Methods
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关键词：Fundamentals Fundamental mathematics Mathematic Fundamenta

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Kantorovich-Mathematics for Natural Scientists-Fundamentals and Basics

Authors: Lev Kantorovich