Introductory Topology Exercises and Solutions 2nd Edition by Mohammed Hichem Mortad ISBN 9813148020 9789813148024

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Product details:

ISBN 10: 9813148020

ISBN 13: 9789813148024 

Author: Mohammed Hichem Mortad 

‘The book is well written, and there is a welcome breadth in the choice of topics. I think this book is a valuable resource. Students who meticulously work through all the problems in the book in an intelligent way, will surely gain considerable insight into the subject; teachers who don’t tell their students about it will find it a valuable source for exam questions.’
The Mathematical GazetteThe book offers a good introduction to topology through solved exercises. It is mainly intended for undergraduate students. Most exercises are given with detailed solutions.In the second edition, some significant changes have been made, other than the additional exercises. There are also additional proofs (as exercises) of many results in the old section ‘What You Need To Know’, which has been improved and renamed in the new edition as ‘Essential Background’. Indeed, it has been considerably beefed up as it now includes more remarks and results for readers’ convenience. The interesting sections ‘True or False’ and ‘Tests’ have remained as they were, apart from a very few changes.

Table of contents:

Part 1: Exercises

• Chapter 1: General Notions: Sets, Functions et al.

  • Essential Background

  • Exercises With Solutions

  • More Exercises

• Chapter 2: Metric Spaces

  • Essential Background

  • True or False: Questions

  • Exercises With Solutions

  • Tests

  • More Exercises

• Chapter 3: Topological Spaces

  • Essential Background

  • True or False: Questions

  • Exercises With Solutions

  • Tests

  • More Exercises

• Chapter 4: Continuity and Convergence

  • Essential Background

  • True or False: Questions

  • Exercises With Solutions

  • Tests

  • More Exercises

• Chapter 5: Compact Spaces

  • Essential Background

  • True or False: Questions

  • Exercises With Solutions

  • Tests

  • More Exercises

• Chapter 6: Connected Spaces

  • Essential Background

  • True or False: Questions

  • Exercises With Solutions

  • Tests

  • More Exercises

• Chapter 7: Complete Metric Spaces

  • Essential Background

  • True or False: Questions

  • Exercises With Solutions

  • Tests

  • More Exercises

• Chapter 8: Function Spaces

  • Essential Background

  • True or False: Questions

  • Exercises With Solutions

  • Tests

  • More Exercises

Part 2: Solutions

• Chapter 1: General Notions: Sets, Functions et al.

  • Solutions to Exercises

• Chapter 2: Metric Spaces

  • True or False: Answers

  • Solutions to Exercises

  • Hints/Answers to Tests

• Chapter 3: Topological Spaces

  • True or False: Answers

  • Solutions to Exercises

  • Hints/Answers to Tests

• Chapter 4: Continuity and Convergence

  • True or False: Answers

  • Solutions to Exercises

  • Hints/Answers to Tests

• Chapter 5: Compact Spaces

  • True or False: Answers

  • Solutions to Exercises

  • Hints/Answers to Tests

• Chapter 6: Connected Spaces

  • True or False: Answers

  • Solutions to Exercises

  • Hints/Answers to Tests

• Chapter 7: Complete Metric Spaces

  • True or False: Answers

  • Solutions to Exercises

  • Hints/Answers to Tests

• Chapter 8: Function Spaces

  • True or False: Answers

  • Solutions to Exercises

  • Hints/Answers to Tests

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Tags: Mohammed Hichem Mortad, Introductory Topology, Exercises, Solutions