Mathematics and Its History : A Concise Edition /

This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring hi...

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Bibliographic Details
Main Author: Stillwell, John (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2020.
Edition:1st ed. 2020.
Series:Undergraduate Texts in Mathematics,
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. The Theorem of Pythagoras
  • 2. Greek Geometry
  • 3. Greek Number Theory
  • 4. Infinity in Greek Mathematics
  • 5. Polynomial Equations
  • 6. Algebraic Geometry
  • 7. Projective Geometry
  • 8. Calculus
  • 9. Infinite Series
  • 10. Elliptic Curves and Functions
  • 11. Complex Numbers and Curves
  • 12. Complex Numbers and Functions
  • 13. Non-Euclidean Geometries
  • 14. Group Theory
  • 15. Topology
  • 16. Commutative Algebra
  • 17. Sets, Logic, and Computation
  • Bibliography
  • Index.