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Author: Leila Schneps
Publisher: International Pressof Boston Incorporated
ISBN: 9781571462824
Category : Biography & Autobiography
Languages : en
Pages : 307
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Book Description
Provides an explanation of what made Alexandre Grothendieck the mathematician that he was. Thirteen articles written by people who knew him personally - some who even studied or collaborated with him over a period of many years - portray Grothendieck at work, explaining the nature of his thought through descriptions of his discoveries and contributions to various subjects, and with impressions, memories, anecdotes, and some biographical elements.
Author: Leila Schneps
Publisher: International Pressof Boston Incorporated
ISBN: 9781571462824
Category : Biography & Autobiography
Languages : en
Pages : 307
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Book Description
Provides an explanation of what made Alexandre Grothendieck the mathematician that he was. Thirteen articles written by people who knew him personally - some who even studied or collaborated with him over a period of many years - portray Grothendieck at work, explaining the nature of his thought through descriptions of his discoveries and contributions to various subjects, and with impressions, memories, anecdotes, and some biographical elements.
Author: Benjamín Labatut
Publisher: Pushkin Press
ISBN: 1782276130
Category : Fiction
Languages : en
Pages : 185
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Book Description
SELECTED FOR BARACK OBAMA'S SUMMER READING LIST 'A monstrous and brilliant book' Philip Pullman 'Wholly mesmerising and revelatory... Completely fascinating' William Boyd Sometimes discovery brings destruction When We Cease to Understand the World shows us great minds striking out into dangerous, uncharted terrain. Fritz Haber, Alexander Grothendieck, Werner Heisenberg, Erwin Schrödinger: these are among the luminaries into whose troubled lives we are thrust as they grapple with the most profound questions of existence. They have strokes of unparalleled genius, they alienate friends and lovers, they descend into isolated states of madness. Some of their discoveries revolutionise our world for the better; others pave the way to chaos and unimaginable suffering. The lines are never clear. With breakneck pace and wondrous detail, Benjamín Labatut uses the imaginative resources of fiction to break open the stories of scientists and mathematicians who expanded our notions of the possible.
Author: Pierre Colmez
Publisher: American Mathematical Society, Société Mathématique de France
ISBN: 1470469391
Category : Mathematics
Languages : en
Pages : 600
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Book Description
The book is a bilingual (French and English) edition of the mathematical correspondence between A. Grothendieck and J-P. Serre. The original French text of 84 letters is supplemented here by the English translation, with French text printed on the left-hand pages and the corresponding English text printed on the right-hand pages. The book also includes several facsimiles of original letters. The letters presented in the book were mainly written between 1955 and 1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. The reader can follow the creation of some of the most important notions of modern mathematics, like sheaf cohomology, schemes, Riemann-Roch type theorems, algebraic fundamental group, motives. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.). Also included are a few letters written between 1984 and 1987. The letters are supplemented by J-P. Serre's notes, which give explanations, corrections, and references further results. The book should be useful to specialists in algebraic geometry, in history of mathematics, and to all mathematicians who want to understand how great mathematics is created.
Author: Steven E. Landsburg
Publisher: Simon and Schuster
ISBN: 1847399290
Category : Business & Economics
Languages : en
Pages : 285
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Book Description
What's wrong with stealing? What's the best way to blood test a pot-bellied pig? Should we tolerate intolerance? In the wake of his enormously popular books, The Armchair Economistand More Sex is Safer Sex, Steven Landsburg uses concepts from maths, economics and physics to address the big questions in philosophy: Where does knowledge come from? What's the difference between right and wrong? Do our beliefs matter? Is it possible to know everything? Provocative, utterly entertaining and always surprising, The Big Questions challenges readers to re-evaluate their most fundamental beliefs and reveals the relationship between the loftiest philosophical quests and our everyday lives.
Author: Joseph Diestel
Publisher: American Mathematical Soc.
ISBN: 9780821872697
Category : Mathematics
Languages : en
Pages : 294
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Book Description
Famed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study of Banach spaces and established the importance of the "local" theory in the study of these operators and the spaces they act upon. When Lintenstrauss and Pelczynski addressed his work at the rebirth of Banach space theory, they shed his Fundamental Inequality in the trappings of operator ideals by shedding the tensorial formulation. The authors of this book, however, feel that there is much of value in Grothendieck's original formulations in the Resume and here endeavor to "expose the Resume" by presenting most of Grothendieck's arguments using the mathematical tools that were available to him at the time.
Author: Allen Altman
Publisher: Springer
ISBN: 3540363092
Category : Mathematics
Languages : en
Pages : 188
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Book Description
Author: David Eisenbud
Publisher: Springer Science & Business Media
ISBN: 0387226397
Category : Mathematics
Languages : en
Pages : 265
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Book Description
Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
Author: Igor Rostislavovich Shafarevich
Publisher: Springer Science & Business Media
ISBN: 9783540575542
Category : Mathematics
Languages : en
Pages : 292
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Book Description
The second volume of Shafarevich's introductory book on algebraic geometry focuses on schemes, complex algebraic varieties and complex manifolds. As with Volume 1 the author has revised the text and added new material, e.g. a section on real algebraic curves. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum making the book accessible to non-specialists. It can be read independently of Volume 1 and is suitable for beginning graduate students in mathematics as well as in theoretical physics.
Author: Amir D Aczel
Publisher: Basic Books
ISBN: 0786732881
Category : Mathematics
Languages : en
Pages : 258
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Book Description
Nicolas Bourbaki, whose mathematical publications began to appear in the late 1930s and continued to be published through most of the twentieth century, was a direct product as well as a major force behind an important revolution that took place in the early decades of the twentieth century that completely changed Western culture. Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century -- both in mathematics and in other areas -- were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke -- because Bourbaki, one of the foremost mathematicians of his day -- never existed.
Author: David Mumford
Publisher: Springer
ISBN: 9781493995882
Category : Mathematics
Languages : en
Pages : 767
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Book Description
Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics Many of these papers are currently unavailable, and the correspondence with Grothendieck has never before been published
