The Genesis of the Abstract Group Concept - Hans Wussing - Dover Trade paperback

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“Publisher: DoverYear: 2007ISBN: 0486458687Description: Trade Paperback, Fine condition, Condition: ...
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9780486458687
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Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486458687
ISBN-13
9780486458687
eBay Product ID (ePID)
57081134

Product Key Features

Number of Pages
336 Pages
Language
English
Publication Name
Genesis of the Abstract Group Concept : A Contribution to the History of the Origin of Abstract Group Theory
Subject
Group Theory, History
Publication Year
2007
Type
Textbook
Subject Area
Mathematics, Science
Author
Hans Wussing
Series
Dover Books on Mathematics Ser.
Format
Perfect

Dimensions

Item Height
0.6 in
Item Weight
14.4 Oz
Item Length
9.2 in
Item Width
6.2 in

Additional Product Features

Intended Audience
College Audience
LCCN
2006-048021
TitleLeading
The
Reviews
"It is a pleasure to turn to Wussing's book, a sound presentation of history .... The topic of the book is such that less is said about group theory itself than about the subjects in which it grew. These discussions are far from perfunctory; the 13 pages on Galois, for instance, are an excellent study of the spirit of his work. Wussing always gives enough detail to let us understand what each author was doing, and the book could almost serve as a sampler of 19th-century algebra. The bibliography is extremely good, and the prose is sometimes pleasantly epigrammatic."- William C. Waterhouse, "Bulletin of the American Mathematical Society" (review of the German edition)
Dewey Edition
22
Dewey Decimal
512/.2
Original Language
German
Synopsis
"It is a pleasure to turn to Wussing's book, a sound presentation of history," declared the "Bulletin of the American Mathematical Society," The author, Director of the Institute for the History of Medicine and Science at Leipzig University, traces the axiomatic formulation of the abstract notion of group. 1984 edition., This informative survey chronicles the process of abstraction that ultimately led to the axiomatic formulation of the abstract notion of group. Hans Wussing, former Director of the Karl Sudhoff Institute for the History of Medicine and Science at Leipzig University, contradicts the conventional thinking that the roots of the abstract notion of group lie strictly in the theory of algebraic equations. Wussing declares their presence in the geometry and number theory of the late eighteenth and early nineteenth centuries.This survey ranges from the works of Lagrange via Cauchy, Abel, and Galois to those of Serret and Camille Jordan. It then turns to Cayley, to Felix Klein's Erlangen Program, and to Sophus Lie, concluding with a sketch of the state of group theory circa 1920, when the axiom systems of Webber were formalized and investigated in their own right.""It is a pleasure to turn to Wussing's book, a sound presentation of history,"" observed the Bulletin of the American Mathematical Society, noting that ""Wussing always gives enough detail to let us understand what each author was doing, and the book could almost serve as a sampler of nineteenth-century algebra. The bibliography is extremely good, and the prose is sometimes pleasantly epigrammatic."", This informative survey chronicles the process of abstraction that ultimately led to the axiomatic formulation of the abstract notion of group. Hans Wussing, former Director of the Karl Sudhoff Institute for the History of Medicine and Science at Leipzig University, contradicts the conventional thinking that the roots of the abstract notion of group lie strictly in the theory of algebraic equations. Wussing declares their presence in the geometry and number theory of the late eighteenth and early nineteenth centuries. This survey ranges from the works of Lagrange via Cauchy, Abel, and Galois to those of Serret and Camille Jordan. It then turns to Cayley, to Felix Klein's Erlangen Program, and to Sophus Lie, concluding with a sketch of the state of group theory circa 1920, when the axiom systems of Webber were formalized and investigated in their own right. "It is a pleasure to turn to Wussing's book, a sound presentation of history," observed the Bulletin of the American Mathematical Society, noting that "Wussing always gives enough detail to let us understand what each author was doing, and the book could almost serve as a sampler of nineteenth-century algebra. The bibliography is extremely good, and the prose is sometimes pleasantly epigrammatic.", "It is a pleasure to turn to Wussing's book, a sound presentation of history," declared the Bulletin of the American Mathematical Society. The author, Director of the Institute for the History of Medicine and Science at Leipzig University, traces the axiomatic formulation of the abstract notion of group. 1984 edition., In this book, Hans Wussing sets out to trace the process of abstraction that led finally to the axiomatic formulation of the abstract notion of group.
LC Classification Number
QA171.W8713 2007

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