Mathematical Works
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Mathematische Werke Mathematical Works
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Author : Erich Kähler
language : en
Publisher: Walter de Gruyter
Release Date : 2011-07-13
Mathematische Werke Mathematical Works written by Erich Kähler and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-13 with Mathematics categories.
For most mathematicians and many mathematical physicists the name Erich Kähler is strongly tied to important geometric notions such as Kähler metrics, Kähler manifolds and Kähler groups. They all go back to a paper of 14 pages written in 1932. This, however, is just a small part of Kähler's many outstanding achievements which cover an unusually wide area: From celestial mechanics he got into complex function theory, differential equations, analytic and complex geometry with differential forms, and then into his main topic, i.e. arithmetic geometry where he constructed a system of notions which is a precursor and, in large parts, equivalent to the now used system of Grothendieck and Dieudonné. His principal interest was in finding the unity in the variety of mathematical themes and establishing thus mathematics as a universal language. In this volume Kähler's mathematical papers are collected following a "Tribute to Herrn Erich Kähler" by S. S. Chern, an overview of Kähler's life data by A. Bohm and R. Berndt, and a Survey of his Mathematical Work by the editors. There are also comments and reports on the developments of the main topics of Kähler's work, starting by W. Neumann's paper on the topology of hypersurface singularities, J.-P. Bourguignon's report on Kähler geometry and, among others by Berndt, Bost, Deitmar, Ekeland, Kunz and Krieg, up to A. Nicolai's essay "Supersymmetry, Kähler geometry and Beyond". As Kähler's interest went beyond the realm of mathematics and mathematical physics, any picture of his work would be incomplete without touching his work reaching into other regions. So a short appendix reproduces three of his articles concerning his vision of mathematics as a universal Theme together with an essay by K. Maurin giving an "Approach to the philosophy of Erich Kähler".
Mathematical Works
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Author : Helmut Wielandt
language : en
Publisher: Walter de Gruyter
Release Date : 1996
Mathematical Works written by Helmut Wielandt and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Complexes And Manifolds
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Author : I. M. James
language : en
Publisher: Elsevier
Release Date : 2014-05-16
Complexes And Manifolds written by I. M. James and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Mathematics categories.
The Mathematical Works of J. H. C. Whitehead, Volume 2: Complexes and Manifolds contains papers that are related in some way to the classification problem for manifolds, especially the Poincare conjecture, but towards the end one sees the gradual transition in the direction of algebraic topology. This volume includes all Whitehead's published work up to the year 1941, as well as a few later papers. The book begins with a list of Whitehead's works, in chronological order of writing. This is followed by separate chapters on topics such as analytical complexes; duality and intersection chains in combinatorial analysis situs; three-dimensional manifolds; doubled knots; certain sets of elements in a free group; certain invariants introduced by Reidemeister; and the asphericity of regions in a 3-sphere. Also included are chapters on the homotopy type of manifolds; the incidence matrices, nuclei and homotopy types; vector fields on the n-sphere; and operators in relative homotopy groups.
Mathematical Works Printed In The Americas 1554 1700
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Author : Bruce Stanley Burdick
language : en
Publisher: JHU Press
Release Date : 2009-01-22
Mathematical Works Printed In The Americas 1554 1700 written by Bruce Stanley Burdick and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-22 with History categories.
"Burdick's exhaustive research has unearthed numerous examples of books not previously cataloged as mathematical. While it was thought that no mathematical writings in English were printed in the Americas before 1703, Burdick gives scholars one of their first chances to discover Jacob Taylor's 1697 Tenebrae, a treatise on solving triangles and other figures using basic trigonometry. He also goes beyond the English language to discuss works in Spanish and Latin, such as Alonso de la Vera Cruz's 1554 logic text, the Recognitio Summularum; a book on astrology by Enrico Martinez; books on the nature of comets by Carlos de Siguenza y Gongora and Eusebio Francisco Kino; and a 1676 almanac by Feliciana Ruiz, the first woman to produce a mathematical work in the Americas.".
List Of Mathematical Works Recently Added To The Bowditch Collection Of The Boston Public Library
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Author : Boston Public Library. Bowditch collection
language : en
Publisher:
Release Date : 1878
List Of Mathematical Works Recently Added To The Bowditch Collection Of The Boston Public Library written by Boston Public Library. Bowditch collection and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1878 with Mathematics categories.
Collected Mathematical Papers
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Author : Igor R. Shafarevich
language : en
Publisher: Springer
Release Date : 1988-12-16
Collected Mathematical Papers written by Igor R. Shafarevich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-16 with Mathematics categories.
This volume contains almost all mathematical papers published between 1943 and 1984 of Igor R. Shafarevich. They appear in English translations (with two exceptions, which are in French and German), some of the papers have been translated into English especially for this edition. Notes by Shafarevich at the end of the volume contain corrections and remarks on the subsequent development of the subjects considered in the papers. Igor R. Shafarevich has made a big impact on mathematics. He has worked in the fields of algebra, algebraic number theory, algebraic geometry and arithmetic algebraic geometry. His papers reflect his broad interests and include topics such as the proof of the general reciprocity law, the realization of groups as Galois groups of number fields, class field towers, algebraic surfaces (in particular K3 surfaces), elliptic curves, and finiteness results on abelian varieties, algebraic curves over number fields and lie algebras.
Mathematical Works Printed In The Americas 1554 1700
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Author : Bruce Stanley Burdick
language : en
Publisher: JHU Press
Release Date : 2009-03-16
Mathematical Works Printed In The Americas 1554 1700 written by Bruce Stanley Burdick and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-16 with Mathematics categories.
This magisterial annotated bibliography of the earliest mathematical works to be printed in the New World challenges long-held assumptions about the earliest examples of American mathematical endeavor. Bruce Stanley Burdick brings together mathematical writings from Mexico, Lima, and the English colonies of Massachusetts, Pennsylvania, and New York. The book provides important information such as author, printer, place of publication, and location of original copies of each of the works discussed. Burdick’s exhaustive research has unearthed numerous examples of books not previously cataloged as mathematical. While it was thought that no mathematical writings in English were printed in the Americas before 1703, Burdick gives scholars one of their first chances to discover Jacob Taylor’s 1697 Tenebrae, a treatise on solving triangles and other figures using basic trigonometry. He also goes beyond the English language to discuss works in Spanish and Latin, such as Alonso de la Vera Cruz's 1554 logic text, the Recognitio Summularum; a book on astrology by Enrico Martínez; books on the nature of comets by Carlos de Sigüenza y Góngora and Eusebio Francisco Kino; and a 1676 almanac by Feliciana Ruiz, the first woman to produce a mathematical work in the Americas. Those fascinated by mathematics, its history, and its culture will note with interest that many of these works, including all of the earliest ones, are from Mexico, not from what is now the United States. As such, the book will challenge us to rethink the history of mathematics on the American continents.
The Mathematical Works Of Bernard Bolzano
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Author : Steve Russ
language : en
Publisher: OUP Oxford
Release Date : 2004-12-09
The Mathematical Works Of Bernard Bolzano written by Steve Russ and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-09 with Mathematics categories.
Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics. Aimed at historians and philosophers of both mathematics and logic, and research students in those fields, this volume contains English translations, in most cases for the first time, of many of Bolzano's most significant mathematical writings. These are the primary sources for many of his celebrated insights and anticipations, including: clear topological definitions of various geometric extensions; an effective statement and use of the Cauchy convergence criterion before it appears in Cauchy's work; proofs of the binomial theorem and the intermediate value theorem that are more general and rigorous than previous ones; an impressive theory of measurable numbers (a version of real numbers), a theory of functions including the construction of a continuous, non-differentiable function (around 1830); and his tantalising conceptual struggles over the possible relationships between infinite collections. Bolzano identified an objective and semantic connection between truths, his so-called 'ground-consequence' relation that imposed a structure on mathematical theories and reflected careful conceptual analysis. This was part of his highly original philosophy of mathematics that appears to be inseparable from his extraordinarily fruitful practical development of mathematics in ways that remain far from being properly understood, and may still be of relevance today.
The Mathematical Works Of Leon Battista Alberti
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Author : Kim Williams
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-08
The Mathematical Works Of Leon Battista Alberti written by Kim Williams and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-08 with Mathematics categories.
Leon Battista Alberti was an outstanding polymath of the fifteenth century, alongside Piero della Francesca and before Leonardo da Vinci. While his contributions to architecture and the visual arts are well known and available in good English editions, and much of his literary and social writings are also available in English, his mathematical works are not well represented in readily available, accessible English editions have remained accessible only to specialists. The four treatises included here – Ludi matematici, De Componendis Cifris, Elementi di pittura and De lunularum quadratura – are extremely valuable in rounding out the portrait of this multitalented thinker. The treatises are presented in modern English translations, with commentary that is intended to make evident the depths of Alberti’s knowledge as well as address the treatises’ mathematical, historical and cultural context, their classical Greek roots, and their relationship to later works by Renaissance thinkers.
The Mathematical Work Of Charles Babbage
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Author : J. M. Dubbey
language : en
Publisher: Cambridge University Press
Release Date : 2004-02-12
The Mathematical Work Of Charles Babbage written by J. M. Dubbey and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-12 with Biography & Autobiography categories.
This book describes Babbage's work on the design and implementation of the difference and analytical engines.