A compact capstone course in classical calculus

A compact capstone course in classical calculus / Peter R. Mercer.

This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The authors enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal prerequisites...

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Bibliographic Details
Main Author: Mercer, Peter R.
Format: eBook
Language:English
Published: Cham : Birkhäuser, 2023.
Series:Compact textbooks in mathematics.
Subjects:
Calculus.
calculus.
Calculus
Online Access:Click for online access
Table of Contents:
  • Chapter 1. Prelude: Vi`etes Product
  • Chapter. 2. Calculus Warm-up
  • Chapter. 3. The Probability Integral & Gamma Function
  • Chapter. 4. Walliss Product
  • Chapter. 5. Interlude: How Big is a Ball ?
  • Chapter. 6. Convexity Tangents
  • Chapter. 7. Some Important Series
  • Chapter. 8. Geometric Probability
  • Chapter. 9. Convexity Chords
  • Chapter. 10. Interlude: Minkowski Distance
  • Chapter. 11. The Basel Problem
  • Chapter. 12. Interlude: Beyond Basel
  • Chapter. 13. Stirlings Formula
  • Chapter. 14. Eulers Sine Product
  • Chapter. 15. Postlude: Stirlings Formula Again
  • Index.

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