國立虎尾科技大學 |

The mathematical and philosophical legacy of Alexander Grothendieck

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The mathematical and philosophical legacy of Alexander Grothendieck/ edited by Marco Panza, Daniele C. Struppa, Jean-Jacques Szczeciniarz.
其他作者:	Szczeciniarz, Jean-Jacques.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xvi, 512 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	History of Mathematical Sciences. -
電子資源:	https://doi.org/10.1007/978-3-031-68934-5
ISBN:	9783031689345

The mathematical and philosophical legacy of Alexander Grothendieck
The mathematical and philosophical legacy of Alexander Grothendieck[electronic resource] /edited by Marco Panza, Daniele C. Struppa, Jean-Jacques Szczeciniarz. - Cham :Springer Nature Switzerland :2025. - xvi, 512 p. :ill. (some col.), digital ;24 cm. - Chapman mathematical notes,3005-1517. - Chapman mathematical notes..

Preface -- Grothendieck's 40 Main Years (1949-1991) -- Grothendieck and Differential Equations -- The Birkho-Grothendieck Theorem -- In nite Products, Congruent Numbers -- The Enduring Legacy of Grothenedieck's Duality Theorem -- Conjectures and Counterexamples in Grothendieck's Work in Functional Analysis -- Tohoku 60 years after -- About Grothendieck Fibrations -- Grothendieck did not Believe in Universes, He believed in Topos and Schemes -- Motivating Motives -- My View on and Experience with Grothendieck's Anabelian Geometry -- Grothendieck's Use of Equality -- Towards a Geometry for Syntax -- Boolean Valued Models, Sheafifications, and Boolean Ultrapowers of Tychono Spaces -- Investigating De nability in Propositional Logic -- Grothendieck and Model Theory -- Context-Dependence and Descent Theory -- Grothendieck and Teichmüller Modular Spaces.

Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today. Utilizing a multidisciplinary approach, this edited volume explores the profound influence his work and ideas have had not only on mathematics, but also on logic and philosophy. Chapters are written by international scholars, and many were inspired by talks given at the conference "Grothendieck, A Multifarious Giant" at Chapman University (May 24-28, 2022). Some chapters are written from a historical perspective and discuss the development of the main themes that characterized Grothendieck's work. Others are more mathematical in nature, analyzing and extending some of his more relevant and obscure results that are still not well understood. Philosophical implications and applications in logic are the subjects of other chapters. This volume will be of interest not only to mathematicians working in algebraic geometry, category theory, and other areas to which Grothendieck contributed, but also to philosophers, logicians, and historians of science.

ISBN: 9783031689345

Standard No.: 10.1007/978-3-031-68934-5doiSubjects--Personal Names:

1488415
Grothendieck, A.
Subjects--Topical Terms:

785417
History of Mathematical Sciences.

LC Class. No.: QA564

Dewey Class. No.: 516.0092

The mathematical and philosophical legacy of Alexander Grothendieck
LDR:03133nam a2200337 a 4500 001 1161490
003 DE-He213
005 20250122120829.0
006 m d
007 cr nn 008maaau
008 251029s2025 sz s 0 eng d
020 $a 9783031689345 $q (electronic bk.)
020 $a 9783031689338 $q (paper)
024 7 $a 10.1007/978-3-031-68934-5 $2 doi
035 $a 978-3-031-68934-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA564
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 516.0092 $2 23
090 $a QA564 $b .M426 2025
245 0 4 $a The mathematical and philosophical legacy of Alexander Grothendieck $h [electronic resource] / $c edited by Marco Panza, Daniele C. Struppa, Jean-Jacques Szczeciniarz.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a xvi, 512 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Chapman mathematical notes, $x 3005-1517
505 0 $a Preface -- Grothendieck's 40 Main Years (1949-1991) -- Grothendieck and Differential Equations -- The Birkho-Grothendieck Theorem -- In nite Products, Congruent Numbers -- The Enduring Legacy of Grothenedieck's Duality Theorem -- Conjectures and Counterexamples in Grothendieck's Work in Functional Analysis -- Tohoku 60 years after -- About Grothendieck Fibrations -- Grothendieck did not Believe in Universes, He believed in Topos and Schemes -- Motivating Motives -- My View on and Experience with Grothendieck's Anabelian Geometry -- Grothendieck's Use of Equality -- Towards a Geometry for Syntax -- Boolean Valued Models, Sheafifications, and Boolean Ultrapowers of Tychono Spaces -- Investigating De nability in Propositional Logic -- Grothendieck and Model Theory -- Context-Dependence and Descent Theory -- Grothendieck and Teichmüller Modular Spaces.
520 $a Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today. Utilizing a multidisciplinary approach, this edited volume explores the profound influence his work and ideas have had not only on mathematics, but also on logic and philosophy. Chapters are written by international scholars, and many were inspired by talks given at the conference "Grothendieck, A Multifarious Giant" at Chapman University (May 24-28, 2022). Some chapters are written from a historical perspective and discuss the development of the main themes that characterized Grothendieck's work. Others are more mathematical in nature, analyzing and extending some of his more relevant and obscure results that are still not well understood. Philosophical implications and applications in logic are the subjects of other chapters. This volume will be of interest not only to mathematicians working in algebraic geometry, category theory, and other areas to which Grothendieck contributed, but also to philosophers, logicians, and historians of science.
600 1 0 $a Grothendieck, A. $q (Alexandre) $3 1488415
650 2 4 $a History of Mathematical Sciences. $3 785417
650 2 4 $a Mathematical Logic and Foundations. $3 669393
650 2 4 $a Number Theory. $3 672023
650 2 4 $a Algebraic Geometry. $3 670184
650 1 4 $a Category Theory, Homological Algebra. $3 678397
650 0 $a Geometry, Algebraic. $3 580393
700 1 $a Szczeciniarz, Jean-Jacques. $3 1488417
700 1 $a Struppa, Daniele Carlo. $3 1488416
700 1 $a Panza, Marco. $3 940300
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Chapman mathematical notes. $3 1488418
856 4 0 $u https://doi.org/10.1007/978-3-031-68934-5
950 $a Mathematics and Statistics (SpringerNature-11649)