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Homology, cohomology, and sheaf coho...

Quaintance, Jocelyn.

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Homology, cohomology, and sheaf cohomology for algebraic topology, algebraic geometry, and differential geometry /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Homology, cohomology, and sheaf cohomology for algebraic topology, algebraic geometry, and differential geometry // Jean Gallier, Jocelyn Quaintance, University of Pennsylvania, USA.
作者:	Gallier, Jean H.
其他作者:	Quaintance, Jocelyn.
出版者:	Hackensack, NJ :World Scientific, : c2022.,
面頁冊數:	xvii, 780 p. :ill. (some col.) ;24 cm.
標題:	Homology theory. -
ISBN:	9789811245022

Homology, cohomology, and sheaf cohomology for algebraic topology, algebraic geometry, and differential geometry /
Gallier, Jean H.

Homology, cohomology, and sheaf cohomology for algebraic topology, algebraic geometry, and differential geometry /Jean Gallier, Jocelyn Quaintance, University of Pennsylvania, USA. - Hackensack, NJ :World Scientific,c2022. - xvii, 780 p. :ill. (some col.) ;24 cm.

Includes bibliographical references (p. 765-767) and index.

"For more than thirty years the senior author has been trying to learn algebraic geometry. In the process he discovered that many of the classic textbooks in algebraic geometry require substantial knowledge of cohomology, homological algebra, and sheaf theory. In an attempt to demystify these abstract concepts and facilitate understanding for a new generation of mathematicians, he along with co-author wrote this book for an audience who is familiar with basic concepts of linear and abstract algebra, but who never has had any exposure to the algebraic geometry or homological algebra. As such this book consists of two parts. The first part gives a crash-course on the homological and cohomological aspects of algebraic topology, with a bias in favor of cohomology. The second part is devoted to presheaves, sheaves, Cech cohomology, derived functors, sheaf cohomology, and spectral sequences. All important concepts are intuitively motivated and the associated proofs of the quintessential theorems are presented in detail rarely found in the standard texts"--

ISBN: 9789811245022US148.00

LCCN: 2021058956Subjects--Topical Terms:

555733
Homology theory.

LC Class. No.: QA612.3 / .G35 2022

Dewey Class. No.: 512/.64

Homology, cohomology, and sheaf cohomology for algebraic topology, algebraic geometry, and differential geometry /
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020 $z 9789811245039 $q (ebook for institutions)
020 $z 9789811245046 $q (ebook for individuals)
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050 0 0 $a QA612.3 $b .G35 2022
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100 1 $a Gallier, Jean H. $3 540196
245 1 0 $a Homology, cohomology, and sheaf cohomology for algebraic topology, algebraic geometry, and differential geometry / $c Jean Gallier, Jocelyn Quaintance, University of Pennsylvania, USA.
260 # $a Hackensack, NJ : $b World Scientific, $c c2022.
300 $a xvii, 780 p. : $b ill. (some col.) ; $c 24 cm.
504 $a Includes bibliographical references (p. 765-767) and index.
520 # $a "For more than thirty years the senior author has been trying to learn algebraic geometry. In the process he discovered that many of the classic textbooks in algebraic geometry require substantial knowledge of cohomology, homological algebra, and sheaf theory. In an attempt to demystify these abstract concepts and facilitate understanding for a new generation of mathematicians, he along with co-author wrote this book for an audience who is familiar with basic concepts of linear and abstract algebra, but who never has had any exposure to the algebraic geometry or homological algebra. As such this book consists of two parts. The first part gives a crash-course on the homological and cohomological aspects of algebraic topology, with a bias in favor of cohomology. The second part is devoted to presheaves, sheaves, Cech cohomology, derived functors, sheaf cohomology, and spectral sequences. All important concepts are intuitively motivated and the associated proofs of the quintessential theorems are presented in detail rarely found in the standard texts"-- $c Provided by publisher.
650 # 0 $a Homology theory. $3 555733
650 # 0 $a Sheaf theory. $3 612610
650 # 0 $a Algebraic topology. $3 532744
650 # 0 $a Geometry, Algebraic. $3 532048
650 # 0 $a Geometry, Differential. $3 523835
700 1 # $a Quaintance, Jocelyn. $3 3470124