Leonhard Euler Book

Leonhard Euler


  • Author : Robert E. Bradley
  • Publisher : Elsevier
  • Release Date : 2007-03-20
  • Genre: Mathematics
  • Pages : 542
  • ISBN 10 : 0080471293

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Leonhard Euler Book Description :

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

Leonhard Euler Book

Leonhard Euler


  • Author : Emil A. Fellmann
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-04-05
  • Genre: Mathematics
  • Pages : 180
  • ISBN 10 : 9783764375393

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Leonhard Euler Book Description :

Euler was not only by far the most productive mathematician in the history of mankind, but also one of the greatest scholars of all time. He attained, like only a few scholars, a degree of popularity and fame which may well be compared with that of Galilei, Newton, or Einstein. Moreover he was a cosmopolitan in the truest sense of the word; he lived during his first twenty years in Basel, was active altogether for more than thirty years in Petersburg and for a quarter of a century in Berlin. Leonhard Euler’s unusually rich life and broadly diversified activity in the immediate vicinity of important personalities which have made history, may well justify an exposition. This book is based in part on unpublished sources and comes right out of the current research on Euler. It is entirely free of formulae as it has been written for a broad audience with interests in the history of culture and science.

Leonhard Euler Book

Leonhard Euler


  • Author : Rajesh Thakur
  • Publisher : Prabhat Prakashan
  • Release Date :
  • Genre:
  • Pages :
  • ISBN 10 :

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Leonhard Euler Book Description :

The Legacy of Leonhard Euler Book

The Legacy of Leonhard Euler


  • Author : Lokenath Debnath
  • Publisher : World Scientific
  • Release Date : 2010
  • Genre: Electronic books
  • Pages : 420
  • ISBN 10 : 9781848165267

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The Legacy of Leonhard Euler Book Description :

This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler''s works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler''s personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author''s historically motivated method of teaching, special attention is given to demonstrate that Euler''s work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler''s extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research. Erratum. Sample Chapter(s). Chapter 1: Mathematics Before Leonhard Euler (434 KB). Contents: Mathematics Before Leonhard Euler; Brief Biographical Sketch and Career of Leonhard Euler; Euler''s Contributions to Number Theory and Algebra; Euler''s Contributions to Geometry and Spherical Trigonometry; Euler''s Formula for Polyhedra, Topology and Graph Theory; Euler''s Contributions to Calculus and Analysis; Euler''s Contributions to the Infinite Series and the Zeta Func

Leonhard Euler s Letters to a German Princess Book

Leonhard Euler s Letters to a German Princess


  • Author : Ronald S Calinger
  • Publisher : Morgan & Claypool Publishers
  • Release Date : 2019-06-28
  • Genre: Science
  • Pages : 214
  • ISBN 10 : 9781643271927

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Leonhard Euler s Letters to a German Princess Book Description :

Leonhard Euler's Letters to a German Princess: A Milestone in the History of Physics Textbooks and More is a milestone in the history of physics textbooks and the instruction of women in the sciences. It also covers views of its author on epistemology, religion, and innovations in scientific equipment, including telescopes and microscopes. Today, 250 years later, we study this work of Euler's as a foundation for the history of physics teaching and analyze the letters from an historical and pedagogical point of view.

Leonhard Euler Book

Leonhard Euler


  • Author : Ronald S. Calinger
  • Publisher : Princeton University Press
  • Release Date : 2019-12-03
  • Genre: Biography & Autobiography
  • Pages : 696
  • ISBN 10 : 9780691196404

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Leonhard Euler Book Description :

An acclaimed biography of the Enlightenment's greatest mathematician This is the first full-scale biography of Leonhard Euler (1707–1783), 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 on Euler's massive published works and correspondence, 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 in his time—especially calculus, mechanics, and optics—to his advances in shipbuilding, telescopes, acoustics, ballistics, cartography, chronology, and music theory.

How Euler Did Even More Book

How Euler Did Even More


  • Author : C. Edward Sandifer
  • Publisher : The Mathematical Association of America
  • Release Date : 2014-11-19
  • Genre: Mathematics
  • Pages : 240
  • ISBN 10 : 9780883855843

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How Euler Did Even More Book Description :

Sandifer has been studying Euler for decades and is one of the world’s leading experts on his work. This volume is the second collection of Sandifer’s “How Euler Did It” columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician of history, this volume will leave you marveling at Euler’s clever inventiveness and Sandifer’s wonderful ability to explicate and put it all in context.

How Euler Did Even More Book

How Euler Did Even More


  • Author : C. Edward Sandifer
  • Publisher : The Mathematical Association of America
  • Release Date : 2014-11-19
  • Genre: Mathematics
  • Pages : 240
  • ISBN 10 : 9780883855843

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How Euler Did Even More Book Description :

Sandifer has been studying Euler for decades and is one of the world’s leading experts on his work. This volume is the second collection of Sandifer’s “How Euler Did It” columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician of history, this volume will leave you marveling at Euler’s clever inventiveness and Sandifer’s wonderful ability to explicate and put it all in context.

The Early Mathematics of Leonhard Euler Book

The Early Mathematics of Leonhard Euler


  • Author : C. Edward Sandifer
  • Publisher : American Mathematical Soc.
  • Release Date : 2020-07-14
  • Genre: Education
  • Pages : 391
  • ISBN 10 : 9781470451806

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The Early Mathematics of Leonhard Euler Book Description :

The Early Mathematics of Leonhard Euler gives an article-by-article description of Leonhard Euler's early mathematical works; the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early pieces contain some of Euler's greatest work, the Konigsberg bridge problem, his solution to the Basel problem, and his first proof of the Euler-Fermat theorem. It also presents important results that we seldom realize are due to Euler; that mixed partial derivatives are (usually) equal, our f(x) f(x) notation, and the integrating factor in differential equations. The books shows how contributions in diverse fields are related, how number theory relates to series, which, in turn, relate to elliptic integrals and then to differential equations. There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from a young student when at 18 he published his first work on differential equations (a paper with a serious flaw) to the most celebrated mathematician and scientist of his time. It is a portrait of the world's most exciting mathematics between 1725 and 1741, rich in technical detail, woven with connections within Euler's work and with the work of other mathematicians in other times and places, laced with historical context.

Euler  The Master of Us All Book

Euler The Master of Us All


  • Author : William Dunham
  • Publisher : American Mathematical Soc.
  • Release Date : 2020-07-29
  • Genre: Education
  • Pages : 185
  • ISBN 10 : 9781470458416

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Euler The Master of Us All Book Description :

Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2008! 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.

Integer Partitions Book

Integer Partitions


  • Author : George E. Andrews
  • Publisher : Cambridge University Press
  • Release Date : 2004-10-11
  • Genre: Mathematics
  • Pages : 141
  • ISBN 10 : 0521600901

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Integer Partitions Book Description :

Provides a wide ranging introduction to partitions, accessible to any reader familiar with polynomials and infinite series.

Euler Through Time Book

Euler Through Time


  • Author : V. S. Varadarajan
  • Publisher : American Mathematical Soc.
  • Release Date : 2006
  • Genre: Mathematics
  • Pages : 302
  • ISBN 10 : 9780821835807

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Euler Through Time Book Description :

Euler is one of the greatest and most prolific mathematicians of all time. He wrote the first accessible books on calculus, created the theory of circular functions, and discovered new areas of research such as elliptic integrals, the calculus of variations, graph theory, divergent series, and so on. It took hundreds of years for his successors to develop in full the theories he began, and some of his themes are still at the center of today's mathematics. It is of great interest therefore to examine his work and its relation to current mathematics. This book attempts to do that. In number theory the discoveries he made empirically would require for their eventual understanding such sophisticated developments as the reciprocity laws and class field theory. His pioneering work on elliptic integrals is the precursor of the modern theory of abelian functions and abelian integrals. His evaluation of zeta and multizeta values is not only a fantastic and exciting story but very relevant to us, because they are at the confluence of much research in algebraic geometry and number theory today (Chapters 2 and 3 of the book). Anticipating his successors by more than a century, Euler created a theory of summation of series that do not converge in the traditional manner. Chapter 5 of the book treats the progression of ideas regarding divergent series from Euler to many parts of modern analysis and quantum physics. The last chapter contains a brief treatment of Euler products. Euler discovered the product formula over the primes for the zeta function as well as for a small number of what are now called Dirichlet $L$-functions. Here the book goes into the development of the theory of such Euler products and the role they play in number theory, thus offering the reader a glimpse of current developments (the Langlands program).

The American Oxonian Book

The American Oxonian


  • Author :
  • Publisher :
  • Release Date : 2007
  • Genre: University of Oxford
  • Pages :
  • ISBN 10 : UOM:39015078923441

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The American Oxonian Book Description :

List of Rhodes scholars, 1904-1915: v.2 p. [145]-161. Vol. for 1934- include Addresses and occupations of Rhodes scholars and other Oxonians (called 1934-36, Addresses and occupations of Rhodes scholars).

Tales of Physicists and Mathematicians Book

Tales of Physicists and Mathematicians


  • Author : Simon Gindikin
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-12-01
  • Genre: Mathematics
  • Pages : 158
  • ISBN 10 : 9781461239420

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Tales of Physicists and Mathematicians Book Description :

This revised and greatly expanded edition of the Russian classic contains a wealth of new information about the lives of many great mathematicians and scientists, past and present. Written by a distinguished mathematician and featuring a unique mix of mathematics, physics, and history, this text combines original source material and provides careful explanations for some of the most significant discoveries in mathematics and physics. What emerges are intriguing, multifaceted biographies that will interest readers at all levels.

Cauchy   s Cours d   analyse Book

Cauchy s Cours d analyse


  • Author : Robert E. Bradley
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-01-14
  • Genre: Mathematics
  • Pages : 412
  • ISBN 10 : 9781441905499

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Cauchy s Cours d analyse Book Description :

In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such rigorous foundations. Today, the quality of a work of mathematics is judged in part on the quality of its rigor, and this standard is largely due to the transformation brought about by Cauchy and the Cours d’analyse. For this translation, the authors have also added commentary, notes, references, and an index.

Euler at 300  An Appreciation Book

Euler at 300 An Appreciation


  • Author : Robert E. Bradley
  • Publisher : Mathematical Association of America
  • Release Date : 2007-11-22
  • Genre: Mathematics
  • Pages : 312
  • ISBN 10 : 0883855658

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Euler at 300 An Appreciation Book Description :

Leonhard Euler (1707-1783) was the most important mathematician of the 18th century. His collected works, which number more than 800 books and articles, fill over 70 large volumes. He revolutionised real analysis and mathematical physics, single-handedly established the field of analytic number theory, and made important contributions to almost every other branch of mathematics. A great pedagogue as well as a great researcher, his textbooks educated the next generation of mathematicians. This book compiles over 20 papers, based on some of the most memorable contributions from mathematicians and historians of mathematics at academic meetings across the USA and Canada, in the years approaching Leonhard Euler's tercentenary. These papers will appeal not only to those who already have an interest in the history of mathematics, but will also serve as a compelling introduction to the subject, focused on the accomplishments of one of the greatest mathematical minds of all time.