Introduction to Analysis
eBook - PDF

Introduction to Analysis

  1. 398 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction to Analysis

Book details
Table of contents
Citations

About This Book

Introduction to Analysis is an ideal text for a one semester course on analysis. The book covers standard material on the real numbers, sequences, continuity, differentiation, and series, and includes an introduction to proof. The author has endeavored to write this book entirely from the student's perspective: there is enough rigor to challenge even the best students in the class, but also enough explanation and detail to meet the needs of a struggling student.

From the Author to the student:

"I vividly recall sitting in an Analysis class and asking myself, 'What is all of this for?' or 'I don't have any idea what's going on.' This book is designed to help the student who finds themselves asking the same sorts of questions, but will also challenge the brightest students."

  • Chapter 1 is a basic introduction to logic and proofs.
  • Informal summaries of the idea of proof provided before each result, and before a solution to a practice problem.
  • Every chapter begins with a short summary, followed by a brief abstract of each section. Each section ends with a concise and referenced summary of the material which is designed to give the student a "big picture" idea of each section.
  • There is a brief and non-technical summary of the goals of a proof or solution for each of the results and practice problems in this book, which are clearly marked as "Idea of proof, " or as "Methodology", followed by a clearly marked formal proof or solution.
  • Many references to previous definitions and results.
  • A "Troubleshooting Guide" appears at the end of each chapter that answers common questions.

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Yes, you can access Introduction to Analysis by Corey M. Dunn in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2017
ISBN
9781498732024
Edition
1
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Cover
  2. Half title
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Dedication
  7. Table of Contents
  8. Preface
  9. Acknowledgments
  10. List of Figures
  11. 1: Sets, Functions, and Proofs
  12. 2: The Real Numbers
  13. 3: Sequences and Their Limits
  14. 4: Series of Real Numbers
  15. 5: Limits and Continuity
  16. 6: Differentiation
  17. 7: Sequences and Series of Functions
  18. Appendix A: List of Commonly Used Symbols
  19. Bibliography
  20. Index