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A sequential introduction to real analysis

By: Series: Essential textbooks in mathematics; vol. 1Publication details: World ScientificPublishing 2016 LondonDescription: xxii, 251 pISBN:
  • 9781783267835
Subject(s): DDC classification:
  • 515 S7S3
Summary: Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented. It is a core subject in any mathematics degree, and also one which many students find challenging. A Sequential Introduction to Real Analysis gives a fresh take on real analysis by formulating all the underlying concepts in terms of convergence of sequences. The result is a coherent, mathematically rigorous, but conceptually simple development of the standard theory of differential and integral calculus ideally suited to undergraduate students learning real analysis for the first time. This book can be used as the basis of an undergraduate real analysis course, or used as further reading material to give an alternative perspective within a conventional real analysis course. (http://www.worldscientific.com/worldscibooks/10.1142/p1032)
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Item type Current library Item location Collection Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 28-A / Slot 1373 (0 Floor, East Wing) Non-fiction General Stacks 515 S7S3 (Browse shelf(Opens below)) Available 191408

Table of Contents:


1. Basic Properties of the Set or Real Numbers

2. Real Sequences

3. Limit Theorems

4. Subsequences

5. Series

6. Continuous Functions

7. Some Symbolic Logic

8. Limits of Functions

9. Differentiable Functions

10. Power Series

11. Integration

12. Logarithms and Irrational Powers

13. What are the Reals?



Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented. It is a core subject in any mathematics degree, and also one which many students find challenging. A Sequential Introduction to Real Analysis gives a fresh take on real analysis by formulating all the underlying concepts in terms of convergence of sequences. The result is a coherent, mathematically rigorous, but conceptually simple development of the standard theory of differential and integral calculus ideally suited to undergraduate students learning real analysis for the first time.

This book can be used as the basis of an undergraduate real analysis course, or used as further reading material to give an alternative perspective within a conventional real analysis course.



(http://www.worldscientific.com/worldscibooks/10.1142/p1032)

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