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ePub A History of Algebraic and Differential Topology, 1900 - 1960 download

by Jean Dieudonné

ePub A History of Algebraic and Differential Topology, 1900 - 1960 download
Author:
Jean Dieudonné
ISBN13:
978-0817633882
ISBN:
081763388X
Language:
Publisher:
Birkhäuser; 2009 edition (April 1, 1989)
Category:
Subcategory:
Mathematics
ePub file:
1536 kb
Fb2 file:
1813 kb
Other formats:
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Rating:
4.6
Votes:
640

This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom.

Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. Written by a world-renowned mathematician, this classic text traces the history of algebraic topology beginning with its creation in the early 1900s and describes in detail the important theories that were discovered before 1960. This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom.

The book gives a necessarily compact treatment dripping with the measure of attention to detail and rigor Dieudonné .

The book gives a necessarily compact treatment dripping with the measure of attention to detail and rigor Dieudonné was known for: it is for good reason that he was the primary scribe of Bourbaki. Indeed, it is fair to say, I think, that A History of Algebraic and Differential Topology, 1900–1960 is on a par, both stylistically and qua pedagogical intent to the Bourbaki volumes, at least to a large extent (after all, this work is not a Satz–Beweis affair), and appraisal this might provide something of a benchmark someone unfamiliar with.

Dieudonné, Jean Alexandre, 1906-. Books for People with Print Disabilities. Trent University Library Donation. Internet Archive Books. Uploaded by station05. cebu on July 17, 2019. SIMILAR ITEMS (based on metadata). Terms of Service (last updated 12/31/2014).

Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them

Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1. The IMO Compendium. Dusan Djukic, Vladimir Jankovic, Ivan Matic, Nikola Petrovic.

Автор: Dieudonne, Jean Название: History of algebraic and differential topology, 1900-1960 Издательство . The book also reports the results obtained so far for delay-differential systems with noncommensurate delays.

2009 Серия: Modern birkhauser classics Язык: ENG Издание: 1st ed. 1989.

This work presents an outline of the Society's history and goes into details on some selected episodes.

His successors extended the use of similar notions to the theory of modular and automorphic functions. This work presents an outline of the Society's history and goes into details on some selected episodes. Among other things the society is put in a Scandinavian context. Indirectly, the work also gives an impression of several of the significant Danish mathematicians during the period of time.

This book traces the history of algebraic topology beginning with its creation by Henry Poincaré in 1900, and describing in detail the important ideas introduced in the theory before 1960. In its first thirty years the field seemed limited to applications in algebraic geometry, but this changed dramatically in the 1930s with the creation of differential topology by Georges De Rham and Elie Cartan and of homotopy theory by Witold Hurewicz and Heinz Hopf. The influence of topology began to spread to more and more branches as it gradually took on a central place in mathematics.

Jean Dieudonné (auth . Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. There is one part of the history of algebraic and differential topology that I have not covered at all, namely, that which is called "low-dimensional topology.

Algebraic and Differential Topology of Robust Stability This page intentionally left blank Algebraic and . A History of Duality in Algebraic Topology James C. Becker and Daniel Henry Gottlieb §1. Introduction.

Algebraic and Differential Topology of Robust Stability This page intentionally left blank Algebraic and Differenti. Differential Forms in Algebraic Topology. A History of Duality in Algebraic Topology. Report "A History of Algebraic and Differential Topology (1900 - 1960)".

Part 1. Simplicial Techniques and Homology. The Beginnings of Differential Topology. The Various Homology and Cohomology Theories. The Work of Poincare. The Build-Up of 'Classical' Homology. Part 2. The First Applications of Simplicial Methods and of Homology. The Concept of Degree.

This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it!

―MathSciNet

  • This book painstakingly describes and explains algebraic topology in the chronological order of its development. I quite agree with Glen Bredon's remark in his "Geometry and Topology" that goes like "this is more than a history and should be in the bookshelf of every student of topology" (not word-for-word, as the citation is done offhand).

  • On the same standard as the Bourbaki works and Dieudonne's 9 volume 'Treatise on Analysis'. Wonderful and immensely satisfying!

  • I thought I'd write a quick review of this book because I've never seen anything quite like it. My background: I am currently a graduate student of mathematics hoping to earn my PhD, and topology is my favorite branch of math; my algebraic topology professor recommended this book to the class as a supplement to our studies. The great thing about this book is that it's packed with rigorous math that motivates the entire subject in a mostly-chronological order. The tough thing about this book is that, well, it's packed with rigorous math, and it unabashedly assumes total familiarity with this extremely difficult subject. Page 1 busts out the modern definition of an abstract chain complex, and then things back up and show how people got there, but not in a way that could be accessible to anybody who hasn't already studied this stuff intensely. It's somewhat of a shame because I think the historical development, separate from the lofty concepts, is interesting in itself and could attract a lay-audience if handled in the right way, but this would necessarily have to suppress 99% of the technical details. A 'best of both worlds' book would have to run on for thousands of pages and probably will never exist. But this is quite a treat for people who have already taken the plunge deep into this stuff.

    Dieudonne, by the way, is a mathematical legend, which explains the super high level of the text. He was one of the authors of the Bourbaki circle which modernized all of mathematics. It's a delight to read about the historical stuff from somebody of that caliber of involvement with the history.