Mathematics and Its History

• Main Author: Stillwell, John. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Edition: 3.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Global analysis (Mathematics).; Geometry.; Mathematics_$xHistory.; Number theory.; History of Mathematics.; Number Theory.; Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-6053-5

From the reviews of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced...

Table of Contents:

• Preface to the Third Edition
• Preface to the Second Edition
• Preface to the First Edition
• The Theorem of Pythagoras
• Greek Geometry
• Greek Number Theory
• Infinity in Greek Mathematics
• Number Theory in Asia
• Polynomial Equations
• Analytic Geometry
• Projective Geometry
• Calculus
• Infinite Series
• The Number Theory Revival
• Elliptic Functions
• Mechanics
• Complex Numbers in Algebra
• Complex Numbers and Curves
• Complex Numbers and Functions
• Differential Geometry
• Non-Euclidean Geometry
• Group Theory
• Hypercomplex Numbers
• Algebraic Number Theory
• Topology
• Simple Groups
• Sets, Logic, and Computation
• Combinatorics
• Bibliography
• Index.-.