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The St Petersburg School of Number Theory

The St  Petersburg School of Number Theory Author Boris Nikolaevich Delone
ISBN-10 9780821834572
Release 2005
Pages 278
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For over two centuries, the work of the St. Petersburg mathematicians in number theory has constituted a glorious contribution to mathematics. The Russian book, The St. Petersburg School of Number Theory, is about the life and work of prominent members of this school, such as Chebyshev, Korkin, Zolotarev, Markov, Voronoi, and Vinogradov. These mathematicians are indeed a very distinguished group, and their work in number theory is of the highest quality and continues to have lasting significance. This English translation acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short biography is given for each of them, followed by an exposition of some of his most significant contributions. Each contribution features the author's original terminology and notation and is followed by commentary. Certain works receive relatively complete expositions, while others are dealt with more briefly. With a Foreword written for the English edition, this volume will appeal to a broad mathematical audience, including mathematical historians. It is particularly suitable for graduate students and researchers interested in number theory. Society. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.



Leonhard Euler

Leonhard Euler Author Robert E. Bradley
ISBN-10 0080471293
Release 2007-03-20
Pages 542
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The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment’s most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world’s best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler’s life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler’s philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler’s innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science. - Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich - New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova - New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century



The Early Mathematics of Leonhard Euler

The Early Mathematics of Leonhard Euler Author C. Edward Sandifer
ISBN-10 0883855593
Release 2007-03-15
Pages 391
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A portrait of Euler's early mathematics between 1725 and 1741, rich in technical detail.



Leonhard Euler

Leonhard Euler Author Ronald S. Calinger
ISBN-10 9781400866632
Release 2015-11-24
Pages 696
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This is the first full-scale biography of Leonhard Euler (1707–83), one of the greatest mathematicians and theoretical physicists of all time. In this comprehensive and authoritative account, Ronald Calinger connects the story of Euler's eventful life to the astonishing achievements that place him in the company of Archimedes, Newton, and Gauss. Drawing chiefly on Euler’s massive published works and correspondence, which fill more than eighty volumes so far, this biography sets Euler’s work in its multilayered context—personal, intellectual, institutional, political, cultural, religious, and social. It is a story of nearly incessant accomplishment, from Euler’s fundamental contributions to almost every area of pure and applied mathematics—especially calculus, number theory, notation, optics, and celestial, rational, and fluid mechanics—to his advancements in shipbuilding, telescopes, ballistics, cartography, chronology, and music theory. The narrative takes the reader from Euler’s childhood and education in Basel through his first period in St. Petersburg, 1727–41, where he gained a European reputation by solving the Basel problem and systematically developing analytical mechanics. Invited to Berlin by Frederick II, Euler published his famous Introductio in analysin infinitorum, devised continuum mechanics, and proposed a pulse theory of light. Returning to St. Petersburg in 1766, he created the analytical calculus of variations, developed the most precise lunar theory of the time that supported Newton’s dynamics, and published the best-selling Letters to a German Princess—all despite eye problems that ended in near-total blindness. In telling the remarkable story of Euler and how his achievements brought pan-European distinction to the Petersburg and Berlin academies of sciences, the book also demonstrates with new depth and detail the central role of mathematics in the Enlightenment. Some images inside the book are unavailable due to digital copyright restrictions.



Euler

Euler Author William Dunham
ISBN-10 0883853280
Release 1999-03-04
Pages 185
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Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.



The History of Approximation Theory

The History of Approximation Theory Author Karl-Georg Steffens
ISBN-10 081764475X
Release 2007-07-28
Pages 219
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* Exciting exposition integrates history, philosophy, and mathematics * Combines a mathematical analysis of approximation theory with an engaging discussion of the differing philosophical underpinnings behind its development * Appendices containing biographical data on numerous eminent mathematicians, explanations of Russian nomenclature and academic degrees, and an excellent index round out the presentation



Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences Author Ivor Grattan-Guiness
ISBN-10 9781134888399
Release 2016-04-30
Pages 976
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First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.



An Episodic History of Mathematics

An Episodic History of Mathematics Author Steven G. Krantz
ISBN-10 9780883857663
Release 2010-04-01
Pages 381
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An Episodic History of Mathematics will acquaint students and readers with mathematical language, thought, and mathematical life by means of historically important mathematical vignettes. It will also serve to help prospective teachers become more familiar with important ideas of in the history of mathematicsboth classical and modern.Contained within are wonderful and engaging stories and anecdotes about Pythagoras and Galois and Cantor and Poincar, which let readers indulge themselves in whimsy, gossip, and learning. The mathematicians treated here were complex individuals who led colorful and fascinating lives, and did fascinating mathematics. They remain interesting to us as people and as scientists.This history of mathematics is also an opportunity to have some fun because the focus in this text is also on the practicalgetting involved with the mathematics and solving problems. This book is unabashedly mathematical. In the course of reading this book, the neophyte will become involved with mathematics by working on the same problems that, for instance, Zeno and Pythagoras and Descartes and Fermat and Riemann worked on.This is a book to be read, therefore, with pencil and paper in hand, and a calculator or computer close by. All will want to experiment; to try things; and become a part of the mathematical process.



A Course of Higher Mathematics Elementary calculus

A Course of Higher Mathematics  Elementary calculus Author Vladimir Ivanovich Smirnov
ISBN-10 STANFORD:36105030093467
Release 1964
Pages 635
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Determinants the solution of systems of equations; Linear transformation and quadratic forms; The basic theory of group and linear representations of groups.



A History of the University in Europe Volume 3 Universities in the Nineteenth and Early Twentieth Centuries 1800 1945

A History of the University in Europe  Volume 3  Universities in the Nineteenth and Early Twentieth Centuries  1800   1945 Author Walter Rüegg
ISBN-10 1139453025
Release 2004-09-16
Pages
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This is the third volume of a four-part series which covers the development of the university in Europe (east and west) from its origins to the present day, focusing on a number of major themes viewed from a European perspective. The originality of the series lies in its comparative, interdisciplinary, collaborative and trans-national nature. It deals also with the content of what was taught at the universities, but its main purpose is an appreciation of the role and structures of the universities as seen against a backdrop of changing conditions, ideas and values. This 2004 volume deals with the modernisation, differentiation and expansion of higher education which led to the triumph of modern science, changing the relations between universities and national states, teachers and students, their ambitions and political activities. Special attention is focused on the fundamental advances in 'learning' - the content of what was taught at the universities.



Elements of Algebra

Elements of Algebra Author Leonhard Euler
ISBN-10 PRNC:32101071982514
Release 1810
Pages
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Elements of Algebra has been writing in one form or another for most of life. You can find so many inspiration from Elements of Algebra also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Elements of Algebra book for free.



Translations Ser 2 159 Proceedings of the St Petersburg Mathematical Society 2

Translations  Ser  2  159  Proceedings of the St  Petersburg Mathematical Society    2 Author United States. Office of Naval Research
ISBN-10 0821895931
Release 1994-11-22
Pages
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This book contains papers on a wide range of topics, including diophantine equations, algebraic number theory, ring theory, theory of functions of a real variable, partial differential equations, approximation of functions, differential geometry, computing theory, and statistical mechanics. The last three papers present historical perspectives on mathematics in St. Petersburg.



Russian Mathematical Surveys

Russian Mathematical Surveys Author
ISBN-10 UCSD:31822002327450
Release 1967
Pages
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Russian Mathematical Surveys has been writing in one form or another for most of life. You can find so many inspiration from Russian Mathematical Surveys also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Russian Mathematical Surveys book for free.



Topics in Polynomials of One and Several Variables and Their Applications

Topics in Polynomials of One and Several Variables and Their Applications Author Themistocles M. Rassias
ISBN-10 9810206143
Release 1993
Pages 638
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This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UOM:39015067268402
Release 2006
Pages
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Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



Naming Infinity

Naming Infinity Author Loren Graham
ISBN-10 9780674032934
Release 2009
Pages 239
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Looks at the competition between French and Russian mathematicians over the nature of infinity during the twentieth century.



Theory of Equations

Theory of Equations Author James Victor Uspensky
ISBN-10 9781259083051
Release 1948
Pages 353
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Complex numbers; Polynomials in one variable; Algebraic equations; Limits of roots; Rational roots; Cubic and biquadratic equations; Theorem; Determinants and matrices; Fundamental theorem of algebra.