Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

#### Keep Connect with Us

• =

• Welcome in Math School.
• This is beta verion of our website.

### Guide to Analysis by F. Mary Hart

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.

Guide to Analysis written by F. Mary Hart, Department of Pure Mathematics, University of Sheffield . This is an other book of mathematics cover the following topics.

• Editor's foreword
Preface
Glossary of symbols and notation

• 1. NUMBERS AND NUMBER SYSTEMS
1.1 Natural numbers
1.2 Integers
1.3 Rational numbers
1.4 The real number system
Appendix: Mathematical induction

• 2. SEQUENCES
2.1 Introduction
2.2 Sequences
2.3 Standard limits
2.4 Some general results for sequences
2.5 Subsequences
Appendix: Triangle inequal

• 3. INFINITE SERIES
3.1 Introduction
3.2 Series and notation
3.3 Tests for convergence
3.4 Absolute convergence, rearrangement of series, multiplication of series
Appendix
Tests for convergence-summary

• 4. FUNCTIONS Limits of functions, continuous functions
4.1 Limits offunctions
4.2 Continuity
4.3 Some properties of continuous functions on closed intervals

• 5. DIFFERENTIABLE FUNCTIONS Dilferentiable functions, Rolle's theorem, mean value theorem, Taylor's theorem, I'Hopital's rule, maxima and minima, Taylor series
5.1 Differentiation
5.2 Rolle's theorem and the mean value theorem
5.3 Taylor's theorem
5.4 L'Hopital's rule
5.5 Maxima and minima

• Index

• ##### 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
##### SHORTCUT TRICKS (Division)
• Divisible by 2 Shortcut trick
• Divisible by 3 Shortcut trick
• Divisible by 4 Shortcut trick
• Divisible by 5 Shortcut trick
• Divisible by 6 Shortcut trick
• Divisible by 7 Shortcut trick
• Divisible by 8 Shortcut trick
• Divisible by 9 Shortcut trick
• Divisible by 10 Shortcut trick