A Course of Mathematical Analysis, Part I is a textbook that shows the procedure for carrying out the various operations of mathematical analysis. Propositions are given with a precise statement of the conditions in which they hold, along with complete proofs. Topics covered include the concept of function and methods of specifying functions, as well as limits, derivatives, and differentials. Definite and indefinite integrals, curves, and numerical, functional, and power series are also discussed.

This book is comprised of nine chapters and begins with an overview of mathematical analysis and its meaning, together with some historical notes and the geometrical interpretation of numbers. The reader is then introduced to functions and methods of specifying them; notation for and classification of functions; and elementary investigation of functions. Subsequent chapters focus on limits and rules for passage to the limit; the concepts of derivatives and differentials in differential calculus; definite and indefinite integrals and applications of integrals; and numerical, functional, and power series.

This monograph will be a valuable resource for engineers, mathematicians, and students of engineering and mathematics.

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Yes, you can access A Course of Mathematical Analysis by A. F. Bermant, I. N. Sneddon,S. Ulam,M. Stark in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Pergamon

Year

2016

ISBN

9781483137322

Topic

Mathematics

Subtopic

Mathematical Analysis

Index

Mathematics

Front Cover
A Course of Mathematical Analysis, Part I
Copyright Page
Table of Contents
Preface to the seventh edition
INTRODUCTION
CHAPTER 1. FUNCTIONS
CHAPTER 2. LIMITS
CHAPTER 3. DERIVATIVES AND DIFFERENTIALS. THE DIFFERENTIAL CALCULUS
CHAPTER 4. THE INVESTIGATION OF FUNCTIONS AND CURVES
CHAPTER 5. THE DEFINITE INTEGRAL
CHAPTER 6. THE INDEFINITE INTEGRAL. THE INTEGRAL CALCULUS
CHAPTER 7. METHODS OF EVALUATING DEFINITE INTEGRALS. IMPROPER INTEGRALS
CHAPTER 8. APPLICATIONS OF THE INTEGRAL
CHAPTER 9. SERIES
INDEX