Calculus Deconstructed
eBook - PDF

Calculus Deconstructed

A Second Course in First-Year Calculus

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

Calculus Deconstructed

A Second Course in First-Year Calculus

About this book

Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basic analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject.No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.

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Yes, you can access Calculus Deconstructed by Zbigniew H. Nitecki 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.

Table of contents

  1. cover
  2. copyright page
  3. title page
  4. Preface
  5. Contents
  6. Precalculus
  7. Sequences and their Limits
  8. Continuity
  9. Differentiation
  10. Integration
  11. Power Series
  12. The Rhetoric of Mathematics (Methods of Proof)
  13. Answers to Selected Problems
  14. Bibliography
  15. Index
  16. About the Author
  17. Back cover