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Calculus: Multi-variable Calculus And Linear Algebra With Applications To Differential Equations And Probability, Vol 2, 2e(pb)2017 by Apostol
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  SPECIFICATION
CALCULUS: ONE-VARIABLE CALCULUS WITH AN INTRODUCTION TO LINEAR ALGEBRA, VOL 1, 2e(pb) 2017
Author: TOM M. APOSTOL
ISBN: 9788126515196
Year: 2017
Publisher: WILEY EASTERN LTD INDIA (WSE)
Category: MATHEMATICS
Edition: 2
Format: Paperback
Language: English
Pages: 688
Volume: 1
 ABOUT THE TITLE
An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition 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.

Table of contents
Historical Introduction
Some Basic Concepts Of The Theory Of Sets
A Set Of Axioms For The Real Number System
Mathematical Induction, Summation Notation, And Related Topics
The Concepts Of The Integral Calculus
Some Applications Of Differentiation
Continuous Functions
Differential Calculus
The Relation Between Integration And Differentiation
The Logarithm, The Exponential, And The Inverse Trigonometric Functions
Polynomial Approximations To Functions
Introduction To Differential Equations
Complex Numbers
Sequences, Infinite Series, Improper Integrals
Sequences And Series Of Functions
Vector Algebra
Applications Of Vector Algebra To Analytic Geometry
Calculus Of Vector-Valued Functions
Linear Spaces
Linear Transformations And Matrices
Exercises
Answers To Exercises
Index

Author:
Tom M. Apostol, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project Mathematics!, a series of computer-animated mathematics videotapes.
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