A Course of Higher Mathematics
eBook - PDF

A Course of Higher Mathematics

Adiwes International Series in Mathematics, Volume 2

  1. 644 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

A Course of Higher Mathematics

Adiwes International Series in Mathematics, Volume 2

About this book

A Course of Higher Mathematics, Volume II: Advanced Calculus covers the theory of functions of real variable in advanced calculus. This volume is divided into seven chapters and begins with a full discussion of the solution of ordinary differential equations with many applications to the treatment of physical problems. This topic is followed by an account of the properties of multiple integrals and of line integrals, with a valuable section on the theory of measurable sets and of multiple integrals. The subsequent chapters deal with the mathematics necessary to the examination of problems in classical field theories in vector algebra and vector analysis and the elements of differential geometry in three-dimensional space. The final chapters explore the Fourier series and the solution of the partial differential equations of classical mathematical physics. This book will prove useful to advanced mathematics students, engineers, and physicists.

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Yes, you can access A Course of Higher Mathematics by V. I. Smirnov, A. J. Lohwater in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics Reference. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
Print ISBN
9780080102078
eBook ISBN
9781483185088
Topic
Mathematics
Subtopic
Mathematics Reference
Index
Mathematics

Table of contents

  1. Front Cover
  2. A Course of Higher Mathematics
  3. Copyright Page
  4. Table of Contents
  5. INTRODUCTION
  6. PREFACE TO THE SIXTH EDITION
  7. PREFACE TO THE FOURTEENTH EDITION
  8. CHAPTER I. ORDINARY DIFFERENTIAL EQUATIONS
  9. CHAPTER II. LINEAR DIFFERENTIAL EQUATIONS. SUPPLEMENTARY REMARKS ON THE THEORY OF DIFFERENTIAL EQUATIONS
  10. CHAPTER III. MULTIPLE AND LINE INTEGRALS. IMPROPER INTEGRALS. INTEGRALS THAT DEPEND ON A PARAMETER
  11. CHAPTER IV. VECTOR ANALYSIS AND FIELD THEORY
  12. CHAPTER V. FOUNDATIONS OF DIFFERENTIAL GEOMETRY
  13. CHAPTER VI. FOURIER SERIES
  14. CHAPTER VII. THE PARTIAL DIFFERENTIAL EQUATIONS OF MATHEMATICAL PHYSICS
  15. INDEX