A P Singh Real Analysis Book pdf DOWNLOAD [Infostudy books PDF]

A P Singh Real Analysis Book pdf DOWNLOAD

A P Singh Real Analysis Book pdf DOWNLOAD

A P Singh Real Analysis

This e-book is very helpful for the aspirants of CSIR UGC net arithmetic, IIT JAM mathematics, GATE mathematics, NBHM, TIFR and all different tests with similar syllabus. This ebook is designed for the students who are making ready for numerous national degree aggressive examinations and additionally evokes to go into into Ph. D. Applications by using manner of qualifying the numerous the front examination.

This ebook is designed for the students who are making ready for numerous national degree aggressive examinations and additionally evokes to go into into Ph. D. Applications by using manner of qualifying the numerous the front examination. The content material of the ebook explains the simple concept of the real numbers of starting. The series and series are elaborated in info and also the diverse techniques and formulas for checking their convergence are mentioned. The exercise sets are intoduced at the end of the topics which includes the style of questions from preceding yr papers of CSIR UGC net, IIT-JAM, TIFR, NBHM and GATE. Those questions are carefully selected in order that the students can practice mathematical knowledge in solving the questions.

ABOUT AUTHOR

Dr A.P. Singh is Ph.D. In mathematics from Panjab university. He has been a Gold Medalist in his graduation as well as post-commencement and a recipient of countrywide Board of better arithmetic (NBHM) scholarship besides being a sportsman and a chess lover. He cleared his CSIR UGC JRF in December 2000 at the same time as he become pursuing his Masters diploma. All through his Ph.D., he has been conferred with the accolades like Indian young Scientist Award, Prof M. Venkataraman best Paper Presentation Award.  After finishing studies, he earned name and repute for his sustained efforts in offering satisfactory schooling to his students lots of whom are actually pursuing studies in IITS, IISERs, Panjab college, Delhi university and different reputed establishments. For the final 15 years, Dr A.P. Singh is committed to promoting better arithmetic by using his precise way of teaching,  guiding and motivating students to crack the country wide stage checks like net, GATE, TIFR, IIT-JAM, and many others., so that they may pursue their career in higher mathematics.

Dr A.P. Singh is constantly inclined to take up college students’ issues on Whatsapp-9876788051 and on fb organization “better Maths discussion through Dr A.P. Singh”.

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A P Singh Real Analysis Book CONTENTS

CHAPTER – 1: SETS AND FUNCTIONS
  • 1.1. SET
  • 1.2. CARTESIAN PRODUCT OF SETS
  • 1.3. BOUNDED SET
  • 1.4. SUPREMUM AND INFIMUM OF A SET
  • 1.5. THE ORDER COMPLETENESS AXIOM
  • 1.6. ARCHIMEDEAN PROPERTY OF REAL NUMBERS
  • 1.7. FUNCTION
  • 1.8. TYPES OF FUNCTIONS
  • 1.9. COUNTING OF FUNCTIONS
  • 1.10. COMPOSITION OF FUNCTIONS
  • 1.11. INVERSE FUNCTION
  • 1.12. SOME DEFINITIONS
  • 1.13. ALGEBRAIC FUNCTION
  • 1.14. TRANSCENDENTAL FUNCTION
  • 1.15 PERIODIC FUNCTION
  • 1.16. EQUIVALENT SETS
  • 1.17. FINITE SET
  • 1.18 INFINITE SET
  • 1.19. DENUMERABLE (OR ENUMERABLE) SET
  • 1.20. COUNTABLE SET
  • 1.21. UNCOUNTABLE SET
  • 1.22. ALGEBRAIC NUMBER
  • 1.23. ALGEBRAIC STRUCTURE
  • 1.24 NEIGHBOURHOOD OF A POINT
  • 1.25 DELETED NEIGHBOURHOOD OF A POINT
  • 1.26. OPEN SET
  • 1.27. INTERIOR POINT OF A SET
  • 1.28. INTERIOR OF A SET
  • 1.29. CLOSED SET
  • 1.30. LIMIT POINT OF A SET
  • 1.31. ISOLATED POINT
  • 1.32. DERIVED SET
  • 1.33. ADHERENT POINT
  • 1.34. CLOSURE OF A SET
  • 1.35. DENSE SET
  • 1.36. NOWHERE DENSE SET
  • 1.37. DENSE IN ITSELF
  • 1.38. COMPACT SET
  • 1.39. CONNECTED SET
  • 1.40. THE CANTOR SET
  • KEY POINTS
  • ASSIGNMENT 1.1
  • ASSIGNMENT 1.2
  • ASSIGNMENT 1.3
  • ANSWER …
CHAPTER – 2 : SEQUENCE AND SERIES
  • 2.1. SEQUENCE
  • 2.2. SERIES
  • 2.3. SEQUENCE AND SERIES OF FUNCTIONS
  • KEY POINTS
  • ASSIGNMENT 2.1
  • ASSIGNMENT 2.2
  • ASSIGNMENT 2.3
  • ANSWER …
CHAPTER – 3 : CONTINUITY AND DIFFERENTIABILITY
  • 3.1. CONTINUITY
  • 3.2. UNIFORM CONTINUITY
  • 3.3. DIFFERENTIABILITY…
  • 3.4. APPLICATIONS OF DERIVATIVE
  • 3.5. FUNCTIONS OF SEVERAL VARIABLES.
  • KEY POINTS
  • ASSIGNMENT 3.1
  • ASSIGNMENT 3.2
  • ASSIGNMENT 3.3.
  • ANSWERS …
CHAPTER – 4 : METRIC SPACE
  • 4.1. METRIC SPACE
  • 4.2. SOME DEFINITIONS
  • 4.3. CONVERGENT SEQUENCE
  • 4.4. CAUCHY SEQUENCE DIAMETER OF A SET LIMIT OF A FUNCTION
  • 4.5. CONTINUOUS FUNCTION.
  • 4.6. LIMIT OF A FUNCTION.
  • 4.7. CONTINUOUS FUNCTION
  • 4.8. DISCONTINUITY UNIFORM CONTINUITY
  • 4.9. COMPLETE METRIC SPACE
  • 4.10. COMPLETE METRIC SPACE
  • 4.11. COMPACTNESS
  • 4.12. CONNECTEDNESS
  • 4.13. HOMEOMORPHISM
  • 4.14. ISOMETRY
  • KEY POINTS
  • ASSIGNMENT 4.1
  • ASSIGNMENT 4.2
  • ANSWERS …
CHAPTER – 5: RIEMANN INTEGRATION, IMPROPER INTEGRAL AND MEASURE THEORY
  • 5.1. RIEMANN INTEGRATION
  • 5.2. FUNCTION OF BOUNDED VARIATION
  • 5.3. IMPROPER INTEGRAL
  • 5.4. MEASURE THEORY
  • KEY POINTS
  • ASSIGNMENT 5.1.
  • ASSIGNMENT 5.2.
  • ANSWERS …
  • INDEX

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A P Singh Real Analysis Book pdf DOWNLOAD

》 BOOK DETAILS 

Pdf nameReal Analysis
AuthorsDr. A. P. Singh
PublicationInfostudy Publication
(Be Informed Be learned)
LanguageEnglish
Total Pages275 Pages
FormatPdf
File size ( in MB)50.67 MB

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