Sale!

A Friendly Introduction to Analysis Single and Multivariable 2nd Edition by Witold AJ Kosmala ISBN 0321724909 9780321724908

Original price was: $50.00.Current price is: $35.00.

A Friendly Introduction to Analysis Single and Multivariable 2nd Edition Witold A. J. Kosmala Digital Instant Download

Author(s): Witold A. J. Kosmala
ISBN(s): 9780321724908, 0321724909
Edition: 2nd
File Details: PDF, 12.47 MB
Year: 2004
Language: english
SKU: EB-4378816 Category: Tag:

A Friendly Introduction to Analysis Single and Multivariable 2nd Edition by Witold AJ Kosmala – Ebook PDF Instant Download/Delivery: 0321724909, 9780321724908
Full download A Friendly Introduction to Analysis Single and Multivariable 2nd Edition after payment

Product details:

ISBN 10: 0321724909 
ISBN 13: 9780321724908
Author: Witold AJ Kosmala

This book is designed to be an easily readable, intimidation-free guide to advanced calculus. Ideas and methods of proof build upon each other and are explained thoroughly. This is the first book to cover both single and multivariable analysis in such a clear, reader-friendly setting. Chapter topics cover sequences, limits of functions, continuity, differentiation, integration, infinite series, sequences and series of functions, vector calculus, functions of two variables, and multiple integration. For individuals seeking math fun at a higher level.

A Friendly Introduction to Analysis Single and Multivariable 2nd Table of contents:

Part I: Single Variable Calculus

  • Chapter 1: The Real Numbers

    • 1.1 Sets of Numbers

    • 1.2 Operations on Real Numbers

    • 1.3 Absolute Value and Inequalities

    • 1.4 Mathematical Induction

    • 1.5 The Completeness Axiom

  • Chapter 2: Limits and Continuity

    • 2.1 The Concept of a Limit

    • 2.2 Limits and Continuity

    • 2.3 The Precise Definition of a Limit

    • 2.4 Continuity of Functions

    • 2.5 Intermediate Value Theorem

  • Chapter 3: Derivatives

    • 3.1 The Definition of a Derivative

    • 3.2 Basic Rules of Differentiation

    • 3.3 The Chain Rule

    • 3.4 Higher-Order Derivatives

    • 3.5 Applications of Derivatives

  • Chapter 4: The Mean Value Theorem

    • 4.1 Statement and Proof of the Mean Value Theorem

    • 4.2 Corollaries of the Mean Value Theorem

    • 4.3 Applications of the Mean Value Theorem

  • Chapter 5: The Riemann Integral

    • 5.1 The Definite Integral

    • 5.2 Properties of the Definite Integral

    • 5.3 The Fundamental Theorem of Calculus

    • 5.4 Techniques of Integration

  • Chapter 6: Sequences and Series

    • 6.1 Convergence of Sequences

    • 6.2 Series and Tests for Convergence

    • 6.3 Power Series

    • 6.4 Taylor Series

Part II: Multivariable Calculus

  • Chapter 7: Functions of Several Variables

    • 7.1 Functions of Two Variables

    • 7.2 Limits and Continuity for Multivariable Functions

    • 7.3 Partial Derivatives

    • 7.4 The Chain Rule for Multivariable Functions

    • 7.5 Directional Derivatives and Gradients

  • Chapter 8: Optimization

    • 8.1 Local Extrema of Functions of Several Variables

    • 8.2 Lagrange Multipliers

    • 8.3 Applications of Optimization

  • Chapter 9: Multiple Integrals

    • 9.1 Double Integrals

    • 9.2 Triple Integrals

    • 9.3 Applications of Multiple Integrals

  • Chapter 10: Vector Calculus

    • 10.1 Vector Fields

    • 10.2 Line Integrals

    • 10.3 Green’s Theorem

    • 10.4 Divergence Theorem

    • 10.5 Stokes’ Theorem

People also search for A Friendly Introduction to Analysis Single and Multivariable 2nd:

a friendly introduction to analysis single and multivariable
    
a friendly introduction to analysis single and multivariable pdf
    
a friendly introduction to analysis
    
a friendly introduction to analysis solutions pdf
    
a friendly introduction to abstract algebra

Tags: Witold AJ Kosmala, Friendly, Analysis Single