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### Introduction To Real Analysis by William F. Trench

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Real Analysis eBooks . We hope mathematician or person who’s interested in mathematics like these books.

Introduction To Real Analysis written by William F. Trench . This is an other book of mathematics cover the following topics.

• The Real Numbers
The Real Number System, Mathematical Induction, The Real Line

• Differential Calculus of Functions of One Variable
Functions and Limits, Continuity, Differentiable Functions of One Variable, L’Hospital’s Rule, Taylor’s Theorem

• Integral Calculus of Functions of One Variable
Definition of the Integral, Existence of the Integral, Properties of the Integral, Improper Integrals, A More Advanced Look at the Existence of the Proper Riemann Integral

• Infinite Sequences and Series
Sequences of Real Numbers, Earlier Topics Revisited With Sequences, Infinite Series of Constants, Sequences and Series of Functions, Power Series

• Real-Valued Functions of Several Variables
Structure of Rn, Continuous Real-Valued Function of n Variables, Partial Derivatives and the Differential, The Chain Rule and Taylor’s Theorem

• Vector-Valued Functions of Several Variables
Linear Transformations and Matrices, Continuity and Differentiability of Transformations, The Inverse Function Theorem, The Implicit Function Theorem

• Integrals of Functions of Several Variables
Definition and Existence of the Multiple Integral, Iterated Integrals and Multiple Integrals, Change of Variables in Multiple Integrals

• Metric Space
Introduction to Metric Spaces, Compact Sets in a Metric Space, Continuous Functions on Metric Spaces

• ##### Math Books of Real Analysis

Elements of Real Analysis by Shanti Narayan
• Free
• English
• Page 2121

• Introduction to Real Analysis by Sadhan Kumar Mapa
• Free
• English
• Page 328

• Basic Real Analysis by Anthony W. Knapp
• Free
• English
• PDF 83
• Page 840

• Guide to Analysis by F. Mary Hart
• Free
• English
• Page 213

• The Continuum (1E) by Rudolf Taschner
• Free
• English
• PDF 34
• Page 142
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