Calculus, Vol II, 2ed ( An Indian Adaptation)

Tom M. Apostol
  • ISBN: 9789354642722
  • 644 pages

Description

Calculus, Second Edition, strikes a perfect balance between theory and technique. Although it differs from the majority of contemporary texts, treating integration before differentiation is the most accurate historical representation of the relationship between the integral and the derivative. This introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

Table of Contents

Part 1. Linear Analysis

1. Linear Spaces

1.1 Introduction

1.2 Linear space axioms

1.3 Elementary consequences of the axioms

1.4 Exercises

1.5 Subspaces

1.6 Dependent and independent sets

1.7 Bases and dimension

1.8 Components

1.9 Exercises

1.10 Inner products

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