A Short Book on Long Sums Infinite Series for Calculus Students

This concise textbook introduces calculus students to power series through an informal and captivating narrative that avoids formal proofs but emphasizes understanding the fundamental ideas. Power series—and infinite series in general—are a fundamental tool of pure and applied mathematics. The probl...

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Bibliographic Details
Main Author: Gouvêa, Fernando Q.
Format: eBook
Language:English
Published: Cham Springer Nature Switzerland 2023, 2023
Edition:1st ed. 2023
Series:Readings in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • - To the reader
  • Getting close with lines
  • Getting closer with polynomials
  • Going all the way: Convergence
  • Power series
  • Distant mountains
  • Appendix A: SageMath: A (very) short introduction
  • Appendix B: Why I do it this way
  • Bibliography