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Differential sheaves and connections...

Mallios, Anastasios.

Differential sheaves and connections[electronic resource] :a natural approach to physical geometry /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	514/.224
書名/作者:	Differential sheaves and connections : a natural approach to physical geometry // Anastasios Mallios, Elias Zafiris.
作者:	Mallios, Anastasios.
其他作者:	Zafiris, Elias,
出版者:	Singapore : : World Scientific Publishing,, c2016.
面頁冊數:	1 online resource (xvi, 285 p.) : : ill.
標題:	Sheaf theory.
標題:	Geometry, Differential.
標題:	Algebraic topology.
ISBN:	9789814719476
書目註:	Includes bibliographical references (p. 265-278) and index.
摘要、提要註:	"This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to "physical geometry". In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums."--
電子資源:	http://www.worldscientific.com/worldscibooks/10.1142/9769#t=toc

Differential sheaves and connections[electronic resource] :a natural approach to physical geometry /
Mallios, Anastasios.

Differential sheaves and connectionsa natural approach to physical geometry /[electronic resource] :Anastasios Mallios, Elias Zafiris. - 1st ed. - Singapore :World Scientific Publishing,c2016. - 1 online resource (xvi, 285 p.) :ill. - Series on concrete and applicable mathermatics,v. 181793-1142 ;. - Series on concrete and applicable mathematics ;v. 11..

Includes bibliographical references (p. 265-278) and index.

"This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to "physical geometry". In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums."--

Electronic reproduction.
Singapore :
World Scientific,
[2015]

ISBN: 9789814719476

LCCN: 2015028030Subjects--Topical Terms:

466352
Sheaf theory.

LC Class. No.: QA612.36 / .M34 2016

Dewey Class. No.: 514/.224

Differential sheaves and connections[electronic resource] :a natural approach to physical geometry /
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100 1 $a Mallios, Anastasios. $3 710561
245 1 0 $a Differential sheaves and connections $h [electronic resource] : $b a natural approach to physical geometry / $c Anastasios Mallios, Elias Zafiris.
250 $a 1st ed.
260 $a Singapore : $b World Scientific Publishing, $c c2016.
300 $a 1 online resource (xvi, 285 p.) : $b ill.
490 1 $a Series on concrete and applicable mathermatics, $x 1793-1142 ; $v v. 18
504 $a Includes bibliographical references (p. 265-278) and index.
520 $a "This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to "physical geometry". In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums."-- $c Provided by publisher.
533 $a Electronic reproduction. $b Singapore : $c World Scientific, $d [2015]
588 $a Title from PDF file title page (viewed November 13, 2015)
650 0 $a Sheaf theory. $3 466352
650 0 $a Geometry, Differential. $3 394220
650 0 $a Algebraic topology. $3 555206
700 1 $a Zafiris, Elias, $d 1970- $3 710562
830 0 $a Series on concrete and applicable mathematics ; $v v. 11. $3 487059
856 4 0 $u http://www.worldscientific.com/worldscibooks/10.1142/9769#t=toc

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