Advanced Calculus : Theory and Practice

✍ Scribed by Petrovic, John Srdjan

• Publisher: CRC Press
• Year: 2013
• Tongue: English
• Leaves: 564
• Series: Textbooks in Mathematics
• Category: Library

✦ Synopsis

Sequences and Their Limits Computing the LimitsDefinition of the Limit Properties of Limits Monotone Sequences The Number e Cauchy Sequences Limit Superior and Limit Inferior Computing the Limits-Part II Real Numbers The Axioms of the Set R Consequences of the Completeness Axiom Bolzano-Weierstrass Theorem Some Thoughts about RContinuity Computing Limits of Functions A Review of Functions Continuous Functions: A Geometric Viewpoint Limits of Functions Other Limits Properties of Continuous Functions The Continuity of Elementary Functions Uniform Continuity Two Properties of Continuous Functions. Read more...

Abstract: Sequences and Their Limits Computing the LimitsDefinition of the Limit Properties of Limits Monotone Sequences The Number e Cauchy Sequences Limit Superior and Limit Inferior Computing the Limits-Part II Real Numbers The Axioms of the Set R Consequences of the Completeness Axiom Bolzano-Weierstrass Theorem Some Thoughts about RContinuity Computing Limits of Functions A Review of Functions Continuous Functions: A Geometric Viewpoint Limits of Functions Other Limits Properties of Continuous Functions The Continuity of Elementary Functions Uniform Continuity Two Properties of Continuous Functions

✦ Table of Contents

Content: Cover
TEXTBOOKS in MATHEMATICS
Contents
Preface
Chapter 1: Sequences and Their Limits
Chapter 2: Real Numbers
Chapter 3: Continuity
Chapter 4: Derivative
Chapter 5: Indefinite Integral
Chapter 6: Definite Integral
Chapter 7: Infinite Series
Chapter 8: Sequences and Series of Functions
Chapter 9: Fourier Series
Chapter 10: Functions of Several Variables
Chapter 11: Derivatives of Functions of Several Variables
Chapter 12: Implicit Functions and Optimization
Chapter 13: Integrals Depending on a Parameter
Chapter 14: Integration in Rn Chapter 15: Fundamental Theorems of Multivariable CalculusChapter 16: Solutions and Answers to Selected Problems
Bibliography
Back Cover

✦ Subjects

Calculus -- Textbooks.