Mathematics for natural scientists [electronic resource] : fundamentals and basics / Lev Kantorovich.
2016
QC20 .K36 2016eb
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Details
Title
Mathematics for natural scientists [electronic resource] : fundamentals and basics / Lev Kantorovich.
Author
ISBN
9781493927852 (electronic book)
149392785X (electronic book)
9781493927845
1493927841
149392785X (electronic book)
9781493927845
1493927841
Published
New York : Springer, [2016]
Copyright
©2016
Language
English
Description
xvii, 526 pages, : illustrations.
Item Number
10.1007/978-1-4939-2785-2 doi
Call Number
QC20 .K36 2016eb
Dewey Decimal Classification
530.15
Summary
This book, the first in a two part series, covers a course of mathematics tailored specifically for physics, engineering and chemistry students at the undergraduate level. It is unique in that it begins with logical concepts of mathematics first encountered at A-level and covers them in thorough detail, filling in the gaps in students' knowledge and reasoning. Then the book aids the leap between A-level and university-level mathematics, with complete proofs provided throughout and all complex mathematical concepts and techniques presented in a clear and transparent manner. Numerous examples and problems (with answers) are given for each section and, where appropriate, mathematical concepts are illustrated in a physics context. This text gives an invaluable foundation to students and a comprehensive aid to lecturers. 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.
Note
"This book, the first in a two part series, covers a course of mathematics tailored specifically for physics, engineering and chemistry students at the undergraduate level. It is unique in that it begins with logical concepts of mathematics first encountered at A-level and covers them in thorough detail, filling in the gaps in students' knowledge and reasoning. Then the book aids the leap between A-level and university-level mathematics, with complete proofs provided throughout and all complex mathematical concepts and techniques presented in a clear and transparent manner. Numerous examples and problems (with answers) are given for each section and, where appropriate, mathematical concepts are illustrated in a physics context. This text gives an invaluable foundation to students and a comprehensive aid to lecturers. 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."-- Cover.
Bibliography, etc. Note
Includes bibliographical references (page viii) and index.
Includes bibliographical references and index.
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Series
Undergraduate lecture notes in physics.
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Table of Contents
Part I. Fundamentals
1. Basic Knowledge
2. Functions
Part II. Basics
3. Derivatives
4. Integral
5. Functions of Many Variables: Differentiation
6. Functions of Many Variables: Integration
7. Infinite Numerical and Functional Series
8. Ordinary Differential Equations.
1. Basic Knowledge
2. Functions
Part II. Basics
3. Derivatives
4. Integral
5. Functions of Many Variables: Differentiation
6. Functions of Many Variables: Integration
7. Infinite Numerical and Functional Series
8. Ordinary Differential Equations.