The Fundamentals of Mathematical Analysis
eBook - PDF

The Fundamentals of Mathematical Analysis

  1. 520 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

The Fundamentals of Mathematical Analysis

About this book

The Fundamentals of Mathematical Analysis, Volume 1 is a textbook that provides a systematic and rigorous treatment of the fundamentals of mathematical analysis. Emphasis is placed on the concept of limit which plays a principal role in mathematical analysis. Examples of the application of mathematical analysis to geometry, mechanics, physics, and engineering are given. This volume is comprised of 14 chapters and begins with a discussion on real numbers, their properties and applications, and arithmetical operations over real numbers. The reader is then introduced to the concept of function, important classes of functions, and functions of one variable; the theory of limits and the limit of a function, monotonic functions, and the principle of convergence; and continuous functions of one variable. A systematic account of the differential and integral calculus is then presented, paying particular attention to differentiation of functions of one variable; investigation of the behavior of functions by means of derivatives; functions of several variables; and differentiation of functions of several variables. The remaining chapters focus on the concept of a primitive function (and of an indefinite integral); definite integral; geometric applications of integral and differential calculus. This book is intended for first- and second-year mathematics students.

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Yes, you can access The Fundamentals of Mathematical Analysis by G. M. Fikhtengol'ts, I. N. Sneddon in PDF and/or ePUB format, as well as other popular books in Mathematik & Infinitesimalrechnung. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
Print ISBN
9780080134734
eBook ISBN
9781483139074
Topic
Mathematik
Subtopic
Infinitesimalrechnung

Table of contents

  1. Front Cover
  2. The Fundamentals of Mathematical Analysis
  3. Copyright Page
  4. Table of Contents
  5. Foreword
  6. CHAPTER 1. REAL NUMBERS
  7. CHAPTER 2. FUNCTIONS OF ONE VARIABLE
  8. CHAPTER 3. THEORY OF LIMITS
  9. CHAPTER 4. CONTINUOUS FUNCTIONS OF ONE VARIABLE
  10. CHAPTER 5. DIFFERENTIATION OF FUNCTIONS OF ONE VARIABLE
  11. CHAPTER 6. BASIC THEOREMS OF DIFFERENTIAL CALCULUS
  12. CHAPTER 7. INVESTIGATION OF FUNCTIONS BY MEANS OF DERIVATIVES
  13. CHAPTER 8. FUNCTIONS OF SEVERAL VARIABLES
  14. CHAPTER 9. DIFFERENTIATION OF FUNCTIONS OF SEVERAL VARIABLES
  15. CHAPTER 10. PRIMITIVE FUNCTION (INDEFINITE INTEGRAL)
  16. CHAPTER 11. DEFINITE INTEGRAL
  17. CHAPTER 12. GEOMETRIC AND MECHANICAL APPLICATIONS OF THE INTEGRAL CALCULUS
  18. CHAPTER 13. SOME GEOMETRIC APPLICATIONS OF THE DIFFERENTIAL CALCULUS
  19. CHAPTER 14. HISTORICAL SURVEY OF THE DEVELOPMENT OF THE FUNDAMENTAL CONCEPTS OF MATHEMATICAL ANALYSIS
  20. Index
  21. Other Titles in the Series