The Nature and Growth of Modern Mathematics
This book I found and read 4 years ago was written by Edna Ernestine Kramer. At that time I was looking for a lightweight introduction to parts of modern mathematics that I missed during my university education at the end 80s. Remembered my earlier school encounters with Morris Kline’s book “Mathematics: The Loss of Certainty” I wanted an introduction along the historical lines of 20th century and this book was a pleasant discovery. It is more than 700 pages and was printed in small font so it was the long but very enjoyable read. It covers unusually wide range of mathematical disciplines and their historical development from Babylonian era to games, statistical decision and utility theory, functional analysis, topology, homotopy and homology, Grassmann algebras, and many other 20th century developments.
Here is the brief TOC:
- From Babylonian Beginnings to Digital Computers
- Mathematical Method and Main Streams Are Launched
- Mathematical Reasoning from Eudoxus to Lobachevsky
- Algebra from Hypathia to Hamilton
- Equations, Human and Inhuman
- A Universal Language
- Forefathers of Modern Mathematics and Their Legacy
- A Calculus for Heaven and Earth
- Determinism and Its Creators
- The Elements of Strategy in War and Peace
- Probabilistic Models, Great Expectations, and Randomized Strategies
- General Games and Statistical Decision Theory
- From Dice to Quantum Theory and Quality Control
- Realm of Random Variables
- Demons, Energy, Maxwell, and Gibbs
- Sweet Manuscript of Youth
- The Unification of Geometry
- A Special Group and Its Application
- Geometry for Universe-Builders
- Post-Relativity Geometry
- East Meets West in the Higher Arithmetic
- The Reformation of Analysis
- Royal Roads to Functional Analysis
- Infinite Hierarchy
- Angelic Geometry
- The Leonardos of Modern Mathematics
- Twentieth-Century Vistas - Analysis
- Twentieth-Century Vistas - Algebra
- Twentieth-Century Vistas - Logic and Foundations
- Retrospect and Prospect
The Nature and Growth of Modern Mathematics
- Dmitry Vostokov @ LiterateScientist.com -
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