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George David Birkhoff And His Mathematical Work
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Book Synopsis Collected Mathematical Papers: George David Birkhoff, by R. E. Langer. George David Birkhoff and his mathematical work, by M. Morse. George David Birkhoff, by O. Veblen. Boundary value problems and associated Sturmian problems. Difference equations. Dynamics by : George David Birkhoff
Download or read book Collected Mathematical Papers: George David Birkhoff, by R. E. Langer. George David Birkhoff and his mathematical work, by M. Morse. George David Birkhoff, by O. Veblen. Boundary value problems and associated Sturmian problems. Difference equations. Dynamics written by George David Birkhoff and published by . This book was released on 1950 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Aesthetic Measure by : George David Birkhoff
Download or read book Aesthetic Measure written by George David Birkhoff and published by . This book was released on 1933-02 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A History in Sum written by Steve Nadis and published by Harvard University Press. This book was released on 2013-11-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.
Book Synopsis Dynamical Systems by : George David Birkhoff
Download or read book Dynamical Systems written by George David Birkhoff and published by . This book was released on 1927 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Relativity and Modern Physics by : George David Birkhoff
Download or read book Relativity and Modern Physics written by George David Birkhoff and published by . This book was released on 1923 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Emergence of the American Mathematical Research Community, 1876-1900 by : Karen Hunger Parshall
Download or read book The Emergence of the American Mathematical Research Community, 1876-1900 written by Karen Hunger Parshall and published by American Mathematical Soc.. This book was released on 1994 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover
Book Synopsis The Nature and Growth of Modern Mathematics by : Edna Ernestine Kramer
Download or read book The Nature and Growth of Modern Mathematics written by Edna Ernestine Kramer and published by Princeton University Press. This book was released on 1982 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.
Book Synopsis Basic Geometry: Manual for Teachers by : George David Birkhoff
Download or read book Basic Geometry: Manual for Teachers written by George David Birkhoff and published by American Mathematical Soc.. This book was released on 2000 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lesson plan outline: 9 lessons Lesson plan outline: 15 lessons Lesson plan outline: 19 lessons Lesson plan outline: 12 lessons Lesson plan outline: 27 lessons Lesson plan outline: 19 lessons Lesson plan outline: 17 lessons Lesson plan outline: 6 lessons Lesson plan outline: 14 lessons Lesson plan outline: 7 lessons
Book Synopsis A Century of Mathematics in America by : Peter L. Duren
Download or read book A Century of Mathematics in America written by Peter L. Duren and published by Springer Science & Business. This book was released on 1988 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the A Century of Mathematics in America collection, this book contains articles that describe the mathematics and the mathematical personalities in some of the nations' prominent departments: Johns Hopkins, Clark, Columbia, MIT, Michigan, Texas, and the Institute for Advanced Study.
Book Synopsis Mathematics of Complexity and Dynamical Systems by : Robert A. Meyers
Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Book Synopsis Landmark Writings in Western Mathematics 1640-1940 by : Ivor Grattan-Guinness
Download or read book Landmark Writings in Western Mathematics 1640-1940 written by Ivor Grattan-Guinness and published by Elsevier. This book was released on 2005-02-11 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field
Book Synopsis The New Era in American Mathematics, 1920–1950 by : Karen Hunger Parshall
Download or read book The New Era in American Mathematics, 1920–1950 written by Karen Hunger Parshall and published by Princeton University Press. This book was released on 2022-02-22 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: A meticulously researched history on the development of American mathematics in the three decades following World War I As the Roaring Twenties lurched into the Great Depression, to be followed by the scourge of Nazi Germany and World War II, American mathematicians pursued their research, positioned themselves collectively within American science, and rose to global mathematical hegemony. How did they do it? The New Era in American Mathematics, 1920–1950 explores the institutional, financial, social, and political forces that shaped and supported this community in the first half of the twentieth century. In doing so, Karen Hunger Parshall debunks the widely held view that American mathematics only thrived after European émigrés fled to the shores of the United States. Drawing from extensive archival and primary-source research, Parshall uncovers the key players in American mathematics who worked together to effect change and she looks at their research output over the course of three decades. She highlights the educational, professional, philanthropic, and governmental entities that bolstered progress. And she uncovers the strategies implemented by American mathematicians in their quest for the advancement of knowledge. Throughout, she considers how geopolitical circumstances shifted the course of the discipline. Examining how the American mathematical community asserted itself on the international stage, The New Era in American Mathematics, 1920–1950 shows the way one nation became the focal point for the field.
Book Synopsis A History of Mathematics in the United States and Canada by : David E. Zitarelli
Download or read book A History of Mathematics in the United States and Canada written by David E. Zitarelli and published by American Mathematical Society. This book was released on 2022-07-28 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first truly comprehensive and thorough history of the development of a mathematical community in the United States and Canada. This second volume starts at the turn of the twentieth century with a mathematical community that is firmly established and traces its growth over the next forty years, at the end of which the American mathematical community is pre-eminent in the world. In the preface to the first volume of this work Zitarelli reveals his animating philosophy, I find that the human factor lends life and vitality to any subject. History of mathematics, in the Zitarelli conception, is not just a collection of abstract ideas and their development. It is a community of people and practices joining together to understand, perpetuate, and advance those ideas and each other. Telling the story of mathematics means telling the stories of these people: their accomplishments and triumphs; the institutions and structures they built; their interpersonal and scientific interactions; and their failures and shortcomings. One of the most hopeful developments of the period 19001941 in American mathematics was the opening of the community to previously excluded populations. Increasing numbers of women were welcomed into mathematics, many of whomincluding Anna Pell Wheeler, Olive Hazlett, and Mayme Logsdonare profiled in these pages. Black mathematicians were often systemically excluded during this period, but, in spite of the obstacles, Elbert Frank Cox, Dudley Woodard, David Blackwell, and others built careers of significant accomplishment that are described here. The effect on the substantial community of European immigrants is detailed through the stories of dozens of individuals. In clear and compelling prose Zitarelli, Dumbaugh, and Kennedy spin a tale accessible to experts, general readers, and anyone interested in the history of science in North America.
Book Synopsis Mathematics Related to Physics by : Raoul Bott
Download or read book Mathematics Related to Physics written by Raoul Bott and published by Springer Science & Business Media. This book was released on 1994-12-19 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are: Volume 1: Topology and Lie Groups (1950's) Volume 2: Differential Operators (1960's) Volume 3: Foliations (1970's) Volume 4: Mathematics Related to Physics (1980's) Volume 5: Completive Articles and Additional Biographic Material (1990's) Most of the papers in this volume deal with two physical-inspired themes: the Yang-Mills equations and the rigidity phenomena of vector bundles. It also contains Bott's own commentaries on a few of the papers, as well as a tribute by Clifford Taubes.
Book Synopsis A history of the second fifty years, American Mathematical Society 1939-88 by : Everett Pitcher
Download or read book A history of the second fifty years, American Mathematical Society 1939-88 written by Everett Pitcher and published by American Mathematical Soc.. This book was released on 1988-12-31 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book chronicles the Society's activities over fifty years, as membership grew, as publications became more numerous and diverse, as the number of meetings and conferences increased, and as services to the mathematical community expanded. To download free chapters of this book, click here.
Book Synopsis The Story of Algebraic Numbers in the First Half of the 20th Century by : Władysław Narkiewicz
Download or read book The Story of Algebraic Numbers in the First Half of the 20th Century written by Władysław Narkiewicz and published by Springer. This book was released on 2019-01-18 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period. The reader will get information about results obtained before 1950. It is hoped that this may be helpful in preventing rediscoveries of old results, and might also inspire the reader to look at the work done earlier, which may hide some ideas which could be applied in contemporary research.
Book Synopsis The War of Guns and Mathematics by : David Aubin
Download or read book The War of Guns and Mathematics written by David Aubin and published by American Mathematical Society. This book was released on 2014-10-07 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a long time, World War I has been shortchanged by the historiography of science. Until recently, World War II was usually considered as the defining event for the formation of the modern relationship between science and society. In this context, the effects of the First World War, by contrast, were often limited to the massive deaths of promising young scientists. By focusing on a few key places (Paris, Cambridge, Rome, Chicago, and others), the present book gathers studies representing a broad spectrum of positions adopted by mathematicians about the conflict, from militant pacifism to military, scientific, or ideological mobilization. The use of mathematics for war is thoroughly examined. This book suggests a new vision of the long-term influence of World War I on mathematics and mathematicians. Continuities and discontinuities in the structure and organization of the mathematical sciences are discussed, as well as their images in various milieux. Topics of research and the values with which they were defended are scrutinized. This book, in particular, proposes a more in-depth evaluation of the issue of modernity and modernization in mathematics. The issue of scientific international relations after the war is revisited by a close look at the situation in a few Allied countries (France, Britain, Italy, and the USA). The historiography has emphasized the place of Germany as the leading mathematical country before WWI and the absurdity of its postwar ostracism by the Allies. The studies presented here help explain how dramatically different prewar situations, prolonged interaction during the war, and new international postwar organizations led to attempts at redrafting models for mathematical developments.
