Signed Edition Sweepstakes
 
 

Recently Viewed clear list


Original Essays | September 17, 2014

Merritt Tierce: IMG Has My Husband Read It?



My first novel, Love Me Back, was published on September 16. Writing the book took seven years, and along the way three chapters were published in... Continue »

spacer
Qualifying orders ship free.
$77.50
New Trade Paper
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
25 Remote Warehouse Biography- General

Bernhard Riemann 1826-1866: Turning Points in the Conception of Mathematics (Modern Birkhauser Classics)

by

Bernhard Riemann 1826-1866: Turning Points in the Conception of Mathematics (Modern Birkhauser Classics) Cover

 

Synopses & Reviews

Publisher Comments:

The name of Bernard Riemann is well known to mathematicians and physicists around the world. College students encounter the Riemann integral early in their studies. Real and complex function theories are founded on Riemann's work. Einstein's theory of gravitation would be unthinkable without Riemannian geometry. In number theory, Riemann's famous conjecture stands as one of the classic challenges to the best mathematical minds and continues to stimulate deep mathematical research. The name is indelibly stamped on the literature of mathematics and physics. This book, originally written in German and presented here in an English-language translation, examines Riemann's scientific work from a single unifying perspective. Laugwitz describes Riemann's development of a conceptual approach to mathematics at a time when conventional algorithmic thinking dictated that formulas and figures, rigid constructs, and transformations of terms were the only legitimate means of studying mathematical objects. David Hilbert gave prominence to the Riemannian principle of utilizing thought, not calculation, to achieve proofs. Hermann Weyl interpreted the Riemann principle — for mathematics and physics alike — to be a matter of "understanding the world through its behavior in the infinitely small." This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann's work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics. "There is excellent referencing throughout... Quotes are given almost always both in English and in the original German. Many readers will feel the original German brings them a bit closer to Riemann and his contemporaries... Laugwitz's expertise on historical matters is most impressive... Thanks are due to both author and translator for making it much easier to enter into the literature on Riemann." --MAA Online "...the author has succeeded admirably...stating the technical details clearly and correctly while writing an engaging and readable account of Riemann's life and work... Any reader of this book with even a passing interest in the history or philosophy of mathematics is certain to become engaged in a mental conversation with the author... The format of the book is excellent, especially the plentiful supply of photographs of people and places... The book will serve as an interesting read and also a useful reference... It is highly recommended." --Bulletin of the AMS

Synopsis:

This remarkable work, rich in insight and scholarship, seeks to draw readers closer to the underlying ideas of Riemann's work and to the development of them in their historical context.

Synopsis:

The name of Bernard Riemann is well known to mathematicians and physicists around the world. His name is indelibly stamped on the literature of mathematics and physics. This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann's work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics.

Table of Contents

Preface.- Note to the Reader.- List of Illustrations.- Translator's Remarks.- Introduction.- Complex Analysis.- Real Analysis.- Geometry; Physics; Philosophy.- Turning Points in the Conception of Mathematics.- Bibliography.- Name Index

Product Details

ISBN:
9780817647766
Author:
Laugwitz, Detlef
Publisher:
Birkhauser
Translator:
Shenitzer, A.
Translator:
Shenitzer, Abe
Author:
Shenitzer, Abe
Location:
Boston, MA
Subject:
General
Subject:
History -- Philosophy.
Subject:
General Mathematics
Subject:
Geometry
Subject:
Complex Analysis
Subject:
mathematical philosophy
Subject:
Real analysis
Subject:
Mathematics - General
Subject:
History of Mathematics
Subject:
Physics-General
Subject:
Philosophy
Subject:
History of Mathematical Sciences
Subject:
Biography - General
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Physics
Subject:
Philosophy : General
Copyright:
Edition Description:
1st ed. 1999. 2nd printing
Series:
Modern Birkhäuser Classics
Publication Date:
20080121
Binding:
TRADE PAPER
Language:
English
Pages:
378
Dimensions:
235 x 155 mm

Related Subjects

» Biography » General
» Humanities » Philosophy » General
» Reference » Science Reference » Philosophy of Science
» Science and Mathematics » Mathematics » History

Bernhard Riemann 1826-1866: Turning Points in the Conception of Mathematics (Modern Birkhauser Classics) New Trade Paper
0 stars - 0 reviews
$77.50 In Stock
Product details 378 pages Birkhauser Boston - English 9780817647766 Reviews:
"Synopsis" by , This remarkable work, rich in insight and scholarship, seeks to draw readers closer to the underlying ideas of Riemann's work and to the development of them in their historical context.
"Synopsis" by , The name of Bernard Riemann is well known to mathematicians and physicists around the world. His name is indelibly stamped on the literature of mathematics and physics. This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann's work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.