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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: Benjamin Labatut
Publisher: New York Review of Books
ISBN: 1681375664
Category : Fiction
Languages : en
Pages : 193
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Book Description
One of The New York Times Book Review’s 10 Best Books of 2021 Shortlisted for the 2021 International Booker Prize and the 2021 National Book Award for Translated Literature A fictional examination of the lives of real-life scientists and thinkers whose discoveries resulted in moral consequences beyond their imagining. When We Cease to Understand the World is a book about the complicated links between scientific and mathematical discovery, madness, and destruction. Fritz Haber, Alexander Grothendieck, Werner Heisenberg, Erwin Schrödinger—these are some of luminaries into whose troubled lives Benjamín Labatut thrusts the reader, showing us how they grappled with the most profound questions of existence. They have strokes of unparalleled genius, alienate friends and lovers, descend into isolation and insanity. Some of their discoveries reshape human life for the better; others pave the way to chaos and unimaginable suffering. The lines are never clear. At a breakneck pace and with a wealth of disturbing detail, Labatut uses the imaginative resources of fiction to tell the stories of the 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: 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: 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: 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: Vladimir Gilelevič Mazʹâ
Publisher: American Mathematical Soc.
ISBN: 9780821819234
Category : Mathematicians
Languages : en
Pages : 604
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Book Description
This book presents a fascinating story of the long life and great accomplishments of Jacques Hadamard (1865-1963), who was once called 'the living legend of mathematics'. As one of the last universal mathematicians, Hadamard's contributions to mathematics are landmarks in various fields. His life is linked with world history of the 20th century in a dramatic way. This work provides an inspiring view of the development of various branches of mathematics during the 19th and 20th centuries.Part I of the book portrays Hadamard's family, childhood and student years, scientific triumphs, and his personal life and trials during the first two world wars. The story is told of his involvement in the Dreyfus affair and his subsequent fight for justice and human rights. Also recounted are Hadamard's worldwide travels, his famous seminar, his passion for botany, his home orchestra, where he played the violin with Einstein, and his interest in the psychology of mathematical creativity. Hadamard's life is described in a readable and inviting way.The authors humorously weave throughout the text his jokes and the myths about him. They also movingly recount the tragic side of his life. Stories about his relatives and friends, and old letters and documents create an authentic and colorful picture. The book contains over 300 photographs and illustrations. Part II of the book includes a lucid overview of Hadamard's enormous work, spanning over six decades. The authors do an excellent job of connecting his results to current concerns.While the book is accessible to beginners, it also provides rich information of interest to experts. Vladimir Mazya and Tatyana Shaposhnikova were the 2003 laureates of the Insitut de France's Prix Alfred Verdaguer. One or more prizes are awarded each year, based on suggestions from the Academie francaise, the Academie de sciences, and the Academie de beaux-arts, for the most remarkable work in the arts, literature, and the sciences. In 2003, the award for excellence was granted in recognition of Mazya and Shaposhnikova's book, ""Jacques Hadamard, A Universal Mathematician"", which is both an historical book about a great citizen and a scientific book about a great mathematician.
Author: Pierre Cartier
Publisher: Springer Science & Business Media
ISBN: 0817645756
Category : Mathematics
Languages : en
Pages : 564
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Book Description
This three-volume work contains articles collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck’s own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category theory, and homological algebra.
Author: S. Peter Tsatsanis
Publisher:
ISBN: 9780993926914
Category : Mathematicians
Languages : en
Pages : 221
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Book Description
When, in 1988, Roy Lisker learned that the famous mathematician Alexandre Grothendieck had refused a very prestigious prize for his work, Lisker convinced an influential French magazine to hire him to search for Grothendieck and uncover his whereabouts and interview him. Grothendieck had left the world of mathematics and was living somewhere in France as a hermit. This book is an account of Lisker's attempt to find Grothendieck's address and his stay at Grothendieck's place. The second part is a partial translation of Grothendieck's controversial memoir.
