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1. Introduction to real analysis [2011]
 Bartle, Robert Gardner, 1927
 4th ed.  Hoboken, NJ : John Wiley & Sons, c2011.
 Description
 Book — xiii, 402 p. : ill. ; 26 cm.
 Summary

 CHAPTER 1 PRELIMINARIES. 1.1 Sets and Functions. 1.2 Mathematical Induction. 1.3 Finite and Infinite Sets.
 CHAPTER 2 THE REAL NUMBERS. 2.1 The Algebraic and Order Properties of R. 2.2 Absolute Value and the Real Line. 2.3 The Completeness Property of R. 2.4 Applications of the Supremum Property. 2.5 Intervals.
 CHAPTER 3 SEQUENCES AND SERIES. 3.1 Sequences and Their Limits. 3.2 Limit Theorems. 3.3 Monotone Sequences. 3.4 Subsequences and the BolzanoWeierstrass Theorem. 3.5 The Cauchy Criterion. 3.6 Properly Divergent Sequences. 3.7 Introduction to Infinite Series.
 CHAPTER 4 LIMITS. 4.1 Limits of Functions. 4.2 Limit Theorems. 4.3 Some Extensions of the Limit Concept.
 CHAPTER 5 CONTINUOUS FUNCTIONS. 5.1 Continuous Functions. 5.2 Combinations of Continuous Functions. 5.3 Continuous Functions on Intervals. 5.4 Uniform Continuity. 5.5 Continuity and Gauges. 5.6 Monotone and Inverse Functions.
 CHAPTER 6 DIFFERENTIATION. 6.1 The Derivative. 6.2 The Mean Value Theorem. 6.3 L'Hospital's Rules. 6.4 Taylor's Theorem.
 CHAPTER 7 THE RIEMANN INTEGRAL. 7.1 Riemann Integral. 7.2 Riemann Integrable Functions. 7.3 The Fundamental Theorem. 7.4 The Darboux Integral. 7.5 Approximate Integration.
 CHAPTER 8 SEQUENCES OF FUNCTIONS. 8.1 Pointwise and Uniform Convergence. 8.2 Interchange of Limits. 8.3 The Exponential and Logarithmic Functions. 8.4 The Trigonometric Functions.
 CHAPTER 9 INFINITE SERIES. 9.1 Absolute Convergence. 9.2 Tests for Absolute Convergence. 9.3 Tests for Nonabsolute Convergence. 9.4 Series of Functions.
 CHAPTER 10 THE GENERALIZED RIEMANN INTEGRAL. 10.1 Definition and Main Properties. 10.2 Improper and Lebesgue Integrals. 10.3 Infinite Intervals. 10.4 Convergence Theorems.
 CHAPTER 11 A GLIMPSE INTO TOPOLOGY. 11.1 Open and Closed Sets in R. 11.2 Compact Sets. 11.3 Continuous Functions. 11.4 Metric Spaces. APPENDIX A LOGIC AND PROOFS. APPENDIX B FINITE AND COUNTABLE SETS. APPENDIX C THE RIEMANN AND LEBESGUE CRITERIA. APPENDIX D APPROXIMATE INTEGRATION. APPENDIX E TWO EXAMPLES. REFERENCES. PHOTO CREDITS. HINTS FOR SELECTED EXERCISES. INDEX.
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 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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QA300 .B294 2011  Unknown 
2. Introduction to real analysis [2000]
 Bartle, Robert Gardner, 1927
 3rd ed.  New York : Wiley, c2000.
 Description
 Book — xi, 388 p. : ill. ; 27 cm.
 Summary

 Preliminaries. The Real Numbers. Sequences and Series. Limits. Continuous Functions. Differentiation. The Riemann Integral. Sequences of Functions. Infinite Series. The Generalized Riemann Integral. A Glimpse into Topology. Appendices. References. Photo Credits. Hints for Selected Exercises. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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QA300 .B294 2000  Unknown 
 Bartle, Robert Gardner, 1927
 2d ed.  New York : Wiley, c1976.
 Description
 Book — xv, 480 p. : ill. ; 24 cm.
 Summary

 A Glimpse at Set Theory. The Real Numbers. The Topology of Cartesian Spaces. Convergence. Continuous Functions. Functions of One Variable. Infinite Series. Differentiation in RP Integration in RP.
 (source: Nielsen Book Data)
 Online
SAL3 (offcampus storage), Science Library (Li and Ma)
SAL3 (offcampus storage)  Status 

Stacks  Request 
QA300 .B29  Available 
Science Library (Li and Ma)  Status 

Stacks  
QA300 .B29 1976  Unknown 