The Mathematical Century
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Author |
: Piergiorgio Odifreddi |
Publisher |
: Princeton University Press |
Total Pages |
: 224 |
Release |
: 2006-10-22 |
ISBN-10 |
: 9780691128054 |
ISBN-13 |
: 0691128057 |
Rating |
: 4/5 (54 Downloads) |
Synopsis The Mathematical Century by : Piergiorgio Odifreddi
The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure and applied mathematics. Each tells the story of an exciting problem, from its historical origins to its modern solution, in lively prose free of technical details. Odifreddi opens by discussing the four main philosophical foundations of mathematics of the nineteenth century and ends by describing the four most important open mathematical problems of the twenty-first century. In presenting the thirty problems at the heart of the book he devotes equal attention to pure and applied mathematics, with applications ranging from physics and computer science to biology and economics. Special attention is dedicated to the famous "23 problems" outlined by David Hilbert in his address to the International Congress of Mathematicians in 1900 as a research program for the new century, and to the work of the winners of the Fields Medal, the equivalent of a Nobel prize in mathematics. This eminently readable book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentieth-century mathematics.
Author |
: Giorgio Israel |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 215 |
Release |
: 2009-04-24 |
ISBN-10 |
: 9783764398965 |
ISBN-13 |
: 3764398965 |
Rating |
: 4/5 (65 Downloads) |
Synopsis The World as a Mathematical Game by : Giorgio Israel
Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science.
Author |
: Vladimir I. Arnold |
Publisher |
: Springer |
Total Pages |
: 0 |
Release |
: 2010-02-12 |
ISBN-10 |
: 3642062253 |
ISBN-13 |
: 9783642062254 |
Rating |
: 4/5 (53 Downloads) |
Synopsis Mathematical Events of the Twentieth Century by : Vladimir I. Arnold
This book contains several contributions on the most outstanding events in the development of twentieth century mathematics, representing a wide variety of specialities in which Russian and Soviet mathematicians played a considerable role. The articles are written in an informal style, from mathematical philosophy to the description of the development of ideas, personal memories and give a unique account of personal meetings with famous representatives of twentieth century mathematics who exerted great influence in its development. This book will be of great interest to mathematicians, who will enjoy seeing their own specialities described with some historical perspective. Historians will read it with the same motive, and perhaps also to select topics for future investigation.
Author |
: Masha Gessen |
Publisher |
: Icon Books Ltd |
Total Pages |
: 119 |
Release |
: 2011-03-03 |
ISBN-10 |
: 9781848313095 |
ISBN-13 |
: 1848313098 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Perfect Rigour by : Masha Gessen
In 2006, an eccentric Russian mathematician named Grigori Perelman solved one of the world's greatest intellectual puzzles. The Poincare conjecture is an extremely complex topological problem that had eluded the best minds for over a century. In 2000, the Clay Institute in Boston named it one of seven great unsolved mathematical problems, and promised a million dollars to anyone who could find a solution. Perelman was awarded the prize this year - and declined the money. Journalist Masha Gessen was determined to find out why. Drawing on interviews with Perelman's teachers, classmates, coaches, teammates, and colleagues in Russia and the US - and informed by her own background as a math whiz raised in Russia - she set out to uncover the nature of Perelman's astonishing abilities. In telling his story, Masha Gessen has constructed a gripping and tragic tale that sheds rare light on the unique burden of genius.
Author |
: Volker R. Remmert |
Publisher |
: Birkhäuser |
Total Pages |
: 282 |
Release |
: 2016-12-08 |
ISBN-10 |
: 9783319396491 |
ISBN-13 |
: 3319396498 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Historiography of Mathematics in the 19th and 20th Centuries by : Volker R. Remmert
This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds often shaped not only their writing on the history of mathematics, but, in some instances, were also influential in their subsequent reception. During the period from roughly 1880-1940, mathematics modernized in important ways, with regard to its content, its conditions for cultivation, and its identity; and the writing of the history of mathematics played into the last part in particular. Parallel to the modernization of mathematics, the history of mathematics gradually evolved into a field of research with its own journals, societies and academic positions. Reflecting both a new professional identity and changes in its primary audience, various shifts of perspective in the way the history of mathematics was and is written can still be observed to this day. Initially concentrating on major internal, universal developments in certain sub-disciplines of mathematics, the field gradually gravitated towards a focus on contexts of knowledge production involving individuals, local practices, problems, communities, and networks. The goal of this book is to link these disciplinary and methodological changes in the history of mathematics to the broader cultural contexts of its practitioners, namely the historians of mathematics during the period in question.
Author |
: Jean-Paul Pier |
Publisher |
: Oxford University Press on Demand |
Total Pages |
: 428 |
Release |
: 2001 |
ISBN-10 |
: 0198503946 |
ISBN-13 |
: 9780198503941 |
Rating |
: 4/5 (46 Downloads) |
Synopsis Mathematical Analysis During the 20th Century by : Jean-Paul Pier
'Will be a valuable source book for analysts interested in the history of the main ideas of analysis, as well as for others wanting to know about developments in other fields.' -EMS'This is a superb history of 20th century mathematical analysis.' -Zentralblatt MathematikThis book studies the 20th century evolution of essential ideas in mathematical analysis, a field that since the times of Newton and Leibnitz has been one of the most important and prestigious in mathematics. Each chapter features a comprehensive first part on developments during the period 1900-1950, and then provides outlooks on representative achievements during the later part of the century. The book will be an interesting and useful reference for graduate students and lecturers in mathematics, professional mathematicians and historians of science, as well as the interested layperson.
Author |
: Bogdan Grechuk |
Publisher |
: Springer Nature |
Total Pages |
: 437 |
Release |
: 2021-09-21 |
ISBN-10 |
: 9783030806279 |
ISBN-13 |
: 3030806278 |
Rating |
: 4/5 (79 Downloads) |
Synopsis Landscape of 21st Century Mathematics by : Bogdan Grechuk
Landscape of 21st Century Mathematics offers a detailed cross section of contemporary mathematics. Important results of the 21st century are motivated and formulated, providing an overview of recent progress in the discipline. The theorems presented in this book have been selected among recent achievements whose statements can be fully appreciated without extensive background. Grouped by subject, the selected theorems represent all major areas of mathematics: number theory, combinatorics, analysis, algebra, geometry and topology, probability and statistics, algorithms and complexity, and logic and set theory. The presentation is self-contained with context, background and necessary definitions provided for each theorem, all without sacrificing mathematical rigour. Where feasible, brief indications of the main ideas of a proof are given. Rigorous yet accessible, this book presents an array of breathtaking recent advances in mathematics. It is written for everyone with a background in mathematics, from inquisitive university students to mathematicians curious about recent achievements in areas beyond their own.
Author |
: Brian Evans |
Publisher |
: John Wiley & Sons |
Total Pages |
: 197 |
Release |
: 2014-02-24 |
ISBN-10 |
: 9781118853979 |
ISBN-13 |
: 1118853970 |
Rating |
: 4/5 (79 Downloads) |
Synopsis The Development of Mathematics Throughout the Centuries by : Brian Evans
Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested
Author |
: Gerald E. Sacks |
Publisher |
: World Scientific |
Total Pages |
: 712 |
Release |
: 2003 |
ISBN-10 |
: 9812564896 |
ISBN-13 |
: 9789812564894 |
Rating |
: 4/5 (96 Downloads) |
Synopsis Mathematical Logic in the 20th Century by : Gerald E. Sacks
This invaluable book is a collection of 31 important both inideas and results papers published by mathematical logicians inthe 20th Century. The papers have been selected by Professor Gerald ESacks. Some of the authors are Gdel, Kleene, Tarski, A Robinson, Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.
Author |
: Michael Friedman |
Publisher |
: Birkhäuser |
Total Pages |
: 443 |
Release |
: 2022-07-05 |
ISBN-10 |
: 303097832X |
ISBN-13 |
: 9783030978327 |
Rating |
: 4/5 (2X Downloads) |
Synopsis Model and Mathematics: From the 19th to the 21st Century by : Michael Friedman
This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models. This book is open access under a CC BY 4.0 license.