Vita Mathematica
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Vita Mathematica
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Author : Ronald Calinger
language : en
Publisher: Cambridge University Press
Release Date : 1996
Vita Mathematica written by Ronald Calinger 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 1996 with Mathematics categories.
Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.
Mathematician For All Seasons
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Author : Hugo Steinhaus
language : en
Publisher: Birkhäuser
Release Date : 2015-12-28
Mathematician For All Seasons written by Hugo Steinhaus and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-28 with Mathematics categories.
This book presents, in his own words, the life of Hugo Steinhaus (1887–1972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who “discovered” the great Stefan Banach. Exhibiting his great integrity and wit, Steinhaus’s personal story of the turbulent times he survived – including two world wars and life postwar under the Soviet heel – cannot but be of consuming interest. His account of the years spent evading Nazi terror is especially moving. The steadfast honesty and natural dignity he maintained while pursuing a life of demanding scientific and intellectual enquiry in the face of encroaching calamity and chaos show him to be truly a mathematician for all seasons. The present work will be of great interest not only to mathematicians wanting to learn some of the details of the mathematical blossoming that occurred in Poland in the first half of the 20th century, but also to anyone wishing to read a first-hand account of the history of those unquiet times in Europe – and indeed world-wide – by someone of uncommon intelligence and forthrightness situated near an eye of the storm.
Mathematics In Berlin
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Author : Heinrich Begehr
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Mathematics In Berlin written by Heinrich Begehr and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This little book is conceived as a service to mathematicians attending the 1998 International Congress of Mathematicians in Berlin. It presents a comprehensive, condensed overview of mathematical activity in Berlin, from Leibniz almost to the present day (without, however, including biographies of living mathematicians). Since many towering figures in mathematical history worked in Berlin, most of the chapters of this book are concise biographies. These are held together by a few survey articles presenting the overall development of entire periods of scientific life at Berlin. Overlaps between various chapters and differences in style between the chap ters were inevitable, but sometimes this provided opportunities to show different aspects of a single historical event - for instance, the Kronecker-Weierstrass con troversy. The book aims at readability rather than scholarly completeness. There are no footnotes, only references to the individual bibliographies of each chapter. Still, we do hope that the texts brought together here, and written by the various authors for this volume, constitute a solid introduction to the history of Berlin mathematics.
Development Of Mathematics Between The World Wars The Case Studies Examples And Analyses
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Author : Martina Becvarova
language : en
Publisher: World Scientific
Release Date : 2021-05-14
Development Of Mathematics Between The World Wars The Case Studies Examples And Analyses written by Martina Becvarova and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-14 with Mathematics categories.
The Development of Mathematics Between the World Wars traces the transformation of scientific life within mathematical communities during the interwar period in Central and Eastern Europe, specifically in Germany, Russia, Poland, Hungary, and Czechoslovakia. Throughout the book, in-depth mathematical analyses and examples are included for the benefit of the reader.World War I heavily affected academic life. In European countries, many talented researchers and students were killed in action and scientific activities were halted to resume only in the postwar years. However, this inhibition turned out to be a catalyst for the birth of a new generation of mathematicians, for the emergence of new ideas and theories and for the surprising creation of new and outstanding scientific schools.The final four chapters are not restricted to Central and Eastern Europe and deal with the development of mathematics between World War I and World War II. After describing the general state of mathematics at the end of the 19th century and the first third of the 20th century, three case studies dealing with selected mathematical disciplines are presented (set theory, potential theory, combinatorics), in a way accessible to a broad audience of mathematicians as well as historians of mathematics.
Mathematical Masterpieces
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Author : Art Knoebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-14
Mathematical Masterpieces written by Art Knoebel 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 2007-08-14 with Mathematics categories.
Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.
Picturing Machines 1400 1700
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Author : Wolfgang Lefevre
language : en
Publisher: MIT Press
Release Date : 2023-12-26
Picturing Machines 1400 1700 written by Wolfgang Lefevre and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-26 with Technology & Engineering categories.
How technical drawings shaped early engineering practice. Technical drawings by the architects and engineers of the Renaissance made use of a range of new methods of graphic representation. These drawings—among them Leonardo da Vinci's famous drawings of mechanical devices—have long been studied for their aesthetic qualities and technological ingenuity, but their significance for the architects and engineers themselves is seldom considered. The essays in Picturing Machines 1400–1700 take this alternate perspective and look at how drawing shaped the practice of early modern engineering. They do so through detailed investigations of specific images, looking at over 100 that range from sketches to perspective views to thoroughly constructed projections. In early modern engineering practice, drawings were not merely visualizations of ideas but acted as models that shaped ideas. Picturing Machines establishes basic categories for the origins, purposes, functions, and contexts of early modern engineering illustrations, then treats a series of topics that not only focus on the way drawings became an indispensable means of engineering but also reflect the main stages in their historical development. The authors examine the social interaction conveyed by early machine images and their function as communication between practitioners; the knowledge either conveyed or presupposed by technical drawings, as seen in those of Giorgio Martini and Leonardo; drawings that required familiarity with geometry or geometric optics, including the development of architectural plans; and technical illustrations that bridged the gap between practical and theoretical mechanics.
Ancient Mathematics
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Author : Dietmar Herrmann
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Ancient Mathematics written by Dietmar Herrmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.
The volume contains a comprehensive and problem-oriented presentation of ancient Greek mathematics from Thales to Proklos Diadochos. Exemplarily, a cross-section of Greek mathematics is offered, whereby also such works of scientists are appreciated in detail, of which no German translation is available. Numerous illustrations and the inclusion of the cultural, political and literary environment provide a great spectrum of the history of mathematical science and a real treasure trove for those seeking biographical and contemporary background knowledge or suggestions for lessons or lectures. The presentation is up-to-date and realizes tendencies of recent historiography. In the new edition, the central chapters on Plato, Aristotle and Alexandria have been updated. The explanations of Greek calculus, mathematical geography and mathematics of the early Middle Ages have been expanded and show new points of view. A completely new addition is a unique illustrated account of Roman mathematics. Also newly included are several color illustrations that successfully illustrate the book's subject matter. With more than 280 images, this volume represents a richly illustrated history book on ancient mathematics.
A Delicate Balance Global Perspectives On Innovation And Tradition In The History Of Mathematics
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Author : David E. Rowe
language : en
Publisher: Birkhäuser
Release Date : 2015-05-12
A Delicate Balance Global Perspectives On Innovation And Tradition In The History Of Mathematics written by David E. Rowe and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-12 with Mathematics categories.
Joseph W. Dauben, a leading authority on the history of mathematics in Europe, China, and North America, has played a pivotal role in promoting international scholarship over the last forty years. This Festschrift volume, showcasing recent historical research by leading experts on three continents, offers a global perspective on important themes in this field.
Arithmetic Fundamental Groups And Noncommutative Algebra
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Author : Michael D. Fried
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Arithmetic Fundamental Groups And Noncommutative Algebra written by Michael D. Fried 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 2002 with Mathematics categories.
The arithmetic and geometry of moduli spaces and their fundamental groups are a very active research area. This book offers a complete overview of developments made over the last decade. The papers in this volume examine the geometry of moduli spaces of curves with a function on them. The main players in Part 1 are the absolute Galois group $G {\mathbb Q $ of the algebraic numbers and its close relatives. By analyzing how $G {\mathbb Q $ acts on fundamental groups defined by Hurwitz moduli problems, the authors achieve a grand generalization of Serre's program from the 1960s. Papers in Part 2 apply $\theta$-functions and configuration spaces to the study of fundamental groups over positive characteristic fields. In this section, several authors use Grothendieck's famous lifting results to give extensions to wildly ramified covers. Properties of the fundamental groups have brought collaborations between geometers and group theorists. Several Part 3 papers investigate new versions of the genus 0 problem. In particular, this includes results severely limiting possible monodromy groups of sphere covers. Finally, Part 4 papers treat Deligne's theory of Tannakian categories and arithmetic versions of the Kodaira-Spencer map. This volume is geared toward graduate students and research mathematicians interested in arithmetic algebraic geometry.
Axiomatics
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Author : Alma Steingart
language : en
Publisher: University of Chicago Press
Release Date : 2023-01-17
Axiomatics written by Alma Steingart and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-17 with Mathematics categories.
The first history of postwar mathematics, offering a new interpretation of the rise of abstraction and axiomatics in the twentieth century. Why did abstraction dominate American art, social science, and natural science in the mid-twentieth century? Why, despite opposition, did abstraction and theoretical knowledge flourish across a diverse set of intellectual pursuits during the Cold War? In recovering the centrality of abstraction across a range of modernist projects in the United States, Alma Steingart brings mathematics back into the conversation about midcentury American intellectual thought. The expansion of mathematics in the aftermath of World War II, she demonstrates, was characterized by two opposing tendencies: research in pure mathematics became increasingly abstract and rarified, while research in applied mathematics and mathematical applications grew in prominence as new fields like operations research and game theory brought mathematical knowledge to bear on more domains of knowledge. Both were predicated on the same abstractionist conception of mathematics and were rooted in the same approach: modern axiomatics. For American mathematicians, the humanities and the sciences did not compete with one another, but instead were two complementary sides of the same epistemological commitment. Steingart further reveals how this mathematical epistemology influenced the sciences and humanities, particularly the postwar social sciences. As mathematics changed, so did the meaning of mathematization. Axiomatics focuses on American mathematicians during a transformative time, following a series of controversies among mathematicians about the nature of mathematics as a field of study and as a body of knowledge. The ensuing debates offer a window onto the postwar development of mathematics band Cold War epistemology writ large. As Steingart’s history ably demonstrates, mathematics is the social activity in which styles of truth—here, abstraction—become synonymous with ways of knowing.