Turning Points in the History of Mathematics

Nonfiction, Science & Nature, Mathematics, History, Reference & Language, Education & Teaching, Teaching, Teaching Methods
Cover of the book Turning Points in the History of Mathematics by Israel Kleiner, Hardy Grant, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Israel Kleiner, Hardy Grant ISBN: 9781493932641
Publisher: Springer New York Publication: April 15, 2016
Imprint: Birkhäuser Language: English
Author: Israel Kleiner, Hardy Grant
ISBN: 9781493932641
Publisher: Springer New York
Publication: April 15, 2016
Imprint: Birkhäuser
Language: English

This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution.  Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation.

Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted.  Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided.

Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to

learn more about the important moments in its development.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution.  Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation.

Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted.  Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided.

Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to

learn more about the important moments in its development.

More books from Springer New York

Cover of the book Simulation for Policy Inquiry by Israel Kleiner, Hardy Grant
Cover of the book Security and Privacy in Mobile Social Networks by Israel Kleiner, Hardy Grant
Cover of the book The Behavioral High-Risk Paradigm in Psychopathology by Israel Kleiner, Hardy Grant
Cover of the book Knowledge-Driven Entrepreneurship by Israel Kleiner, Hardy Grant
Cover of the book Statistical Performance Analysis and Modeling Techniques for Nanometer VLSI Designs by Israel Kleiner, Hardy Grant
Cover of the book Observing the Sun by Israel Kleiner, Hardy Grant
Cover of the book Gender and Nonverbal Behavior by Israel Kleiner, Hardy Grant
Cover of the book Oncofertility Medical Practice by Israel Kleiner, Hardy Grant
Cover of the book Vision and Displays for Military and Security Applications by Israel Kleiner, Hardy Grant
Cover of the book Dialogical Genres by Israel Kleiner, Hardy Grant
Cover of the book Security-aware Cooperation in Cognitive Radio Networks by Israel Kleiner, Hardy Grant
Cover of the book Reviews of Environmental Contamination and Toxicology by Israel Kleiner, Hardy Grant
Cover of the book Functional Equations in Mathematical Analysis by Israel Kleiner, Hardy Grant
Cover of the book Psychological Components of Sustainable Peace by Israel Kleiner, Hardy Grant
Cover of the book Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design by Israel Kleiner, Hardy Grant
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy