A Course of Higher Mathematics
eBook - PDF

A Course of Higher Mathematics

Adiwes International Series in Mathematics, Volume 1

  1. 558 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

A Course of Higher Mathematics

Adiwes International Series in Mathematics, Volume 1

About this book

A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R. This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables. The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. This book also examines the applications of differential calculus to geometry. For example, the equations to determine the differential of arc or the parameters of a curve are shown. This text then notes the basic problems involving integral calculus, particularly regarding indefinite integrals and their properties. The application of definite integrals in the calculation of area of a sector, the length of arc, and the calculation of the volumes of solids of a given cross-section are explained. This book further discusses the basic theory of infinite series, applications to approximate evaluations, Taylor's formula, and its extension. Finally, the geometrical approach to the concept of a number is reviewed. This text is suitable for physicists, engineers, mathematicians, and students in higher mathematics.

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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 Essays. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
Print ISBN
9780080102061
eBook ISBN
9781483156361
Topic
Mathematics
Subtopic
Mathematics Essays
Index
Mathematics

Table of contents

  1. Fornt Cover
  2. A Course of Higher Mathematics
  3. Copyright Page
  4. Table of Contents
  5. INTRODUCTION
  6. PREFACES TO EIGHTH AND SIXTEENTH RUSSIAN EDITIONS
  7. CHAPTER I. FUNCTIONAL RELATIONSHIPS AND THE THEORY OF LIMITS
  8. CHAPTER II. DIFFERENTIATION: THEORY AND APPLICATIONS
  9. CHAPTER III. INTEGRATION: THEORY AND APPLICATIONS
  10. CHAPTER IV. SERIES. APPLICATIONS TO APPROXIMATE EVALUATIONS
  11. CHAPTER V. FUNCTIONS OF SEVERAL VARIABLES
  12. CHAPTER VI. COMPLEX NUMBERS. THE FOUNDATIONS OF HIGHER ALGEBRA. INTEGRATION OF VARIOUS FUNCTIONS
  13. ANSWERS
  14. INDEX