Mathematics And Social Utopias In France
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Mathematics And Social Utopias In France
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Author : Simon Altmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-03-30
Mathematics And Social Utopias In France written by Simon Altmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-30 with Mathematics categories.
A mathematician, a social reformer within Saint-Simon's utopian-socialist movement, and later a prosperous banker, Olinde Rodrigues is a fascinating figure of the city of Paris in the first half of the nineteenth century. Since archival resources on Rodrigues are not abundant and since they are scattered throughout a variety of archives studying him presents difficult historiographic challenges. These are met for the first time in this book, written by a team of mathematicians, historians of mathematics, and historians of culture and society for people interested in any of these fields.
Mathematics And Social Utopias In France
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Author : Simon L. Altmann
language : en
Publisher:
Release Date : 2005
Mathematics And Social Utopias In France written by Simon L. Altmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Jews categories.
A mathematician, a social reformer within Saint-Simon's utopian-socialist movement, and later a prosperous banker, Olinde Rodrigues is a fascinating figure of the city of Paris in the first half of the nineteenth century. His many interests and associations make him a remarkable character in the history of nineteenth-century mathematics. Since archival resources on Rodrigues are not abundant and since they are scattered throughout a variety of archives-from large to very small-studying him presents difficult historiographic challenges. These are met for the first time in this book, written by.
The War Of Guns And Mathematics
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Author : David Aubin
language : en
Publisher: American Mathematical Society
Release Date : 2014-10-07
The War Of Guns And Mathematics written by David Aubin and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-07 with Mathematics categories.
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.
Saint Simonians In Nineteenth Century France
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Author : Pamela M. Pilbeam
language : en
Publisher: Springer
Release Date : 2014-01-02
Saint Simonians In Nineteenth Century France written by Pamela M. Pilbeam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-02 with History categories.
Saint-Simonians were a group of young engineers and doctors who proposed original solutions to the social and banking crises of the early nineteenth century. Through an examination of the lives, ideals and activities of these men and women, the book analyses the influence of the Saint-Simonians on nineteenth-century French society.
Imaginary Mathematics For Computer Science
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Author : John Vince
language : en
Publisher: Springer
Release Date : 2018-08-16
Imaginary Mathematics For Computer Science written by John Vince and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-16 with Computers categories.
The imaginary unit i = √-1 has been used by mathematicians for nearly five-hundred years, during which time its physical meaning has been a constant challenge. Unfortunately, René Descartes referred to it as “imaginary”, and the use of the term “complex number” compounded the unnecessary mystery associated with this amazing object. Today, i = √-1 has found its way into virtually every branch of mathematics, and is widely employed in physics and science, from solving problems in electrical engineering to quantum field theory. John Vince describes the evolution of the imaginary unit from the roots of quadratic and cubic equations, Hamilton’s quaternions, Cayley’s octonions, to Grassmann’s geometric algebra. In spite of the aura of mystery that surrounds the subject, John Vince makes the subject accessible and very readable. The first two chapters cover the imaginary unit and its integration with real numbers. Chapter 3 describes how complex numbers work with matrices, and shows how to compute complex eigenvalues and eigenvectors. Chapters 4 and 5 cover Hamilton’s invention of quaternions, and Cayley’s development of octonions, respectively. Chapter 6 provides a brief introduction to geometric algebra, which possesses many of the imaginary qualities of quaternions, but works in space of any dimension. The second half of the book is devoted to applications of complex numbers, quaternions and geometric algebra. John Vince explains how complex numbers simplify trigonometric identities, wave combinations and phase differences in circuit analysis, and how geometric algebra resolves geometric problems, and quaternions rotate 3D vectors. There are two short chapters on the Riemann hypothesis and the Mandelbrot set, both of which use complex numbers. The last chapter references the role of complex numbers in quantum mechanics, and ends with Schrödinger’s famous wave equation. Filled with lots of clear examples and useful illustrations, this compact book provides an excellent introduction to imaginary mathematics for computer science.
Pioneering Women In American Mathematics
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Author : Judy Green
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Pioneering Women In American Mathematics written by Judy Green and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Biography & Autobiography categories.
"This book is the result of a study in which the authors identified all of the American women who earned PhD's in mathematics before 1940, and collected extensive biographical and bibliographical information about each of them. By reconstructing as complete a picture as possible of this group of women, Green and LaDuke reveal insights into the larger scientific and cultural communities in which they lived and worked." "The book contains an extended introductory essay, as well as biographical entries for each of the 228 women in the study. The authors examine family backgrounds, education, careers, and other professional activities. They show that there were many more women earning PhD's in mathematics before 1940 than is commonly thought." "The material will be of interest to researchers, teachers, and students in mathematics, history of mathematics, history of science, women's studies, and sociology."--BOOK JACKET.
Mathematics Across The Iron Curtain
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Author : Christopher Hollings
language : en
Publisher: American Mathematical Society
Release Date : 2014-07-16
Mathematics Across The Iron Curtain written by Christopher Hollings and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-16 with Mathematics categories.
The theory of semigroups is a relatively young branch of mathematics, with most of the major results having appeared after the Second World War. This book describes the evolution of (algebraic) semigroup theory from its earliest origins to the establishment of a full-fledged theory. Semigroup theory might be termed `Cold War mathematics' because of the time during which it developed. There were thriving schools on both sides of the Iron Curtain, although the two sides were not always able to communicate with each other, or even gain access to the other's publications. A major theme of this book is the comparison of the approaches to the subject of mathematicians in East and West, and the study of the extent to which contact between the two sides was possible.
The European Left And The Jewish Question 1848 1992
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Author : Alessandra Tarquini
language : en
Publisher: Springer Nature
Release Date : 2021-07-02
The European Left And The Jewish Question 1848 1992 written by Alessandra Tarquini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-02 with History categories.
This book examines how left-wing political and cultural movements in Western Europe have considered Jews in the last two hundred years. The chapters seek to answer the following question: has there been a specific way in which the Left has considered Jewish minorities? The subject has taken various shapes in the different geographical contexts, influenced by national specificities. In tandem, this volume demonstrates the extent to which left-wing movements share common trends drawn from a collective repertoire of representations and meanings. Highlighting the different aspects of the subject matter, the chapters in this book are divided in three parts, each dedicated to a major theme: the contribution of the theorists of Socialism to the Jewish Question; Antisemitism and its representations in left-wing culture; and the perception of the Arab-Israeli conflict. Taken together, these three themes allow for a multidisciplinary analysis of the relationship between the Left and Jews from the second half of the nineteenth century to recent times.
Quaternion Algebras
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Author : John Voight
language : en
Publisher: Springer Nature
Release Date : 2021-06-28
Quaternion Algebras written by John Voight and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-28 with Mathematics categories.
This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike. Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit groups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts and motivation are recapped throughout.
Advanced Complex Analysis A Comprehensive Course In Analysis Part 2b
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Author : Barry Simon
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-11-02
Advanced Complex Analysis A Comprehensive Course In Analysis Part 2b written by Barry Simon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-02 with Mathematical analysis categories.
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 2B provides a comprehensive look at a number of subjects of complex analysis not included in Part 2A. Presented in this volume are the theory of conformal metrics (including the Poincaré metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painlevé smoothness theorem), topics in analytic number theory (including Jacobi's two- and four-square theorems, the Dirichlet prime progression theorem, the prime number theorem, and the Hardy-Littlewood asymptotics for the number of partitions), the theory of Fuschian differential equations, asymptotic methods (including Euler's method, stationary phase, the saddle-point method, and the WKB method), univalent functions (including an introduction to SLE), and Nevanlinna theory. The chapters on Fuschian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions.