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The Resource An Introduction to Mathematical Analysis : International Series of Monographs on Pure and Applied Mathematics

An Introduction to Mathematical Analysis : International Series of Monographs on Pure and Applied Mathematics

Label
An Introduction to Mathematical Analysis : International Series of Monographs on Pure and Applied Mathematics
Title
An Introduction to Mathematical Analysis
Title remainder
International Series of Monographs on Pure and Applied Mathematics
Creator
Contributor
Subject
Language
eng
Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
An Introduction to Mathematical Analysis : International Series of Monographs on Pure and Applied Mathematics
Label
An Introduction to Mathematical Analysis : International Series of Monographs on Pure and Applied Mathematics
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4626008
Publication
Copyright
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Front Cover -- An Introduction to Mathematical Analysis -- Copyright Page -- Table of Contents -- Dedication -- PREFACE -- LIST OF SYMBOLS AND NOTATIONS -- CHAPTER 1. FUNDAMENTAL IDEAS AND ASSUMPTIONS -- 1. INTRODUCTION -- 2. ASSUMPTIONS RELATING TO THE FIELD OPERATIONS -- 3. ASSUMPTIONS RELATING TO THE ORDERING OF THE REAL NUMBERS -- 4. MATHEMATICAL INDUCTION -- 5. UPPER AND LOWER BOUNDS OF SETS OF REAL NUMBERS -- 6. FUNCTIONS -- CHAPTER 2. LIMITS AND CONTINUITY -- 7. LIMITS OF REAL FUNCTIONS DEFINED ON THE POSITIVE INTEGERS -- 8. LIMITS OF REAL FUNCTIONS OF A REAL VARIABLE x AS x TENDS TO INFINITY -- 9. ELEMENTARY TOPOLOGICAL IDEAS -- 10. LIMITS OF REAL FUNCTIONS AT FINITE POINTS -- 11. CONTINUITY -- 12. INVERSE FUNCTIONS AND FRACTIONAL INDICES -- CHAPTER 3. DIFFERENTIABILITY -- 13. DERIVATIVES -- 14. GENERAL THEOREMS CONCERNING REALFUNCTIONS -- 15. MAXIMA, MINIMA AND CONVEXITY -- 16. COMPLEX NUMBERS AND FUNCTIONS -- CHAPTER 4. INFINITE SERIES -- 17. ELEMENTARY PROPERTIES OF INFINITE SERIES -- 18. SERIES WITH NON-NEGATIVE TERMS -- 19. ABSOLUTE AND CONDITIONAL CONVERGENCE -- 20. THE DECIMAL NOTATION FOR REAL NUMBERS -- CHAPTER 5. FUNCTIONS DEFINED BY POWER SERIES -- 21. GENERAL THEORY OF POWER SERIES -- 22. REAL POWER SERIES -- 23. THE EXPONENTIAL AND LOGARITHMICFUNCTIONS -- 24. THE TRIGONOMETRIC FUNCTIONS -- 25. THE HYPERBOLIC FUNCTIONS -- 26. COMPLEX INDICES -- CHAPTER 6. INTEGRATION -- 27. THE INDEFINITE INTEGRAL -- 28. INTERVAL FUNCTIONS AND FUNCTIONSOF BOUNDED VARIATION -- 29. THE RIEMANN-STIELTJES INTEGRAL -- 30. THE RIEMANN INTEGRAL -- 31. CURVES -- 32. AREA -- CHAPTER 7. CONVERGENCE AND UNIFORMITY -- 33. UPPER AND LOWER LIMITS AND THEIR APPLICATIONS -- 34. FURTHER CONVERGENCE TESTS FOR INFINITESERIES -- 35. UNIFORM CONVERGENCE -- 36. IMPROPER INTEGRALS -- 37. DOUBLE SERIES -- 38. INFINITE PRODUCTS -- HINTS FOR SOLUTIONS OF EXERCISES
  • INDEX
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{'f': 'http://opac.lib.rpi.edu/record=b4173256'}
Extent
1 online resource (625 pages)
Form of item
online
Isbn
9781483137308
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

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