Leonhard Euler

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Leonhard Euler

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Author : Ronald S. Calinger
Publisher : Princeton University Press
ISBN 13 : 0691196400
Total Pages : 689 pages
Book Rating : 4.6/5 (911 download)

Book Synopsis Leonhard Euler by : Ronald S. Calinger

Download or read book Leonhard Euler written by Ronald S. Calinger and published by Princeton University Press. This book was released on 2019-12-03 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."--Publisher's description.

Leonhard Euler

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Author : Robert E. Bradley
Publisher : Elsevier
ISBN 13 : 9780080471297
Total Pages : 542 pages
Book Rating : 4.4/5 (712 download)

Book Synopsis Leonhard Euler by : Robert E. Bradley

Download or read book Leonhard Euler written by Robert E. Bradley and published by Elsevier. This book was released on 2007-03-20 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author : C. Edward Sandifer
Publisher : American Mathematical Soc.
ISBN 13 : 1470451808
Total Pages : 391 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis The Early Mathematics of Leonhard Euler by : C. Edward Sandifer

Download or read book The Early Mathematics of Leonhard Euler written by C. Edward Sandifer and published by American Mathematical Soc.. This book was released on 2020-07-14 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author : William Dunham
Publisher : American Mathematical Society
ISBN 13 : 147046618X
Total Pages : 185 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis Euler by : William Dunham

Download or read book Euler written by William Dunham and published by American Mathematical Society. This book was released on 2022-01-13 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elements of Algebra

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Author : Leonhard Euler
Publisher :
ISBN 13 :
Total Pages : 960 pages
Book Rating : 4.:/5 (318 download)

Book Synopsis Elements of Algebra by : Leonhard Euler

Download or read book Elements of Algebra written by Leonhard Euler and published by . This book was released on 1810 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Leonhard Euler and the Bernoullis

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Author : M. B. W. Tent
Publisher : CRC Press
ISBN 13 : 1439865485
Total Pages : 296 pages
Book Rating : 4.4/5 (398 download)

Book Synopsis Leonhard Euler and the Bernoullis by : M. B. W. Tent

Download or read book Leonhard Euler and the Bernoullis written by M. B. W. Tent and published by CRC Press. This book was released on 2009-09-18 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Leonhard Euler and the Bernoullis is a fascinating tale of the Bernoulli family and Euler's association with them. Successful merchants in the 16th and 17th centuries, the Bernoullis were driven out of Antwerp during the persecution of the Huguenots and settled first in Frankfurt, and then in Basel, where one of the most remarkable mathematical dy

Leonhard Euler

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Author : Emil A. Fellmann
Publisher : Springer Science & Business Media
ISBN 13 : 3764375396
Total Pages : 180 pages
Book Rating : 4.7/5 (643 download)

Book Synopsis Leonhard Euler by : Emil A. Fellmann

Download or read book Leonhard Euler written by Emil A. Fellmann and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Foundations of Differential Calculus

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Author : Euler
Publisher : Springer Science & Business Media
ISBN 13 : 0387226451
Total Pages : 208 pages
Book Rating : 4.3/5 (872 download)

Book Synopsis Foundations of Differential Calculus by : Euler

Download or read book Foundations of Differential Calculus written by Euler and published by Springer Science & Business Media. This book was released on 2006-05-04 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.

The Legacy of Leonhard Euler

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Author : Lokenath Debnath
Publisher : World Scientific
ISBN 13 : 1848165269
Total Pages : 420 pages
Book Rating : 4.8/5 (481 download)

Book Synopsis The Legacy of Leonhard Euler by : Lokenath Debnath

Download or read book The Legacy of Leonhard Euler written by Lokenath Debnath and published by World Scientific. This book was released on 2010 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Function; Euler''s Beta and Gamma Functions and Infinite Products; Euler and Differential Equations; The Euler Equations of Motion in Fluid Mechanics; Euler''s Contributions to Mechanics and Elasticity; Euler''s Work on the Probability Theory; Euler''s Contributions to Ballistics; Euler and His Work on Astronomy and Physics. Readership: Undergraduate and graduate students of mathematics, mathematics education, physics, engineering and science. As well as professionals and prospective mathematical scientists.

How Euler Did Even More

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Author : C. Edward Sandifer
Publisher : The Mathematical Association of America
ISBN 13 : 0883855844
Total Pages : 254 pages
Book Rating : 4.8/5 (838 download)

Book Synopsis How Euler Did Even More by : C. Edward Sandifer

Download or read book How Euler Did Even More written by C. Edward Sandifer and published by The Mathematical Association of America. This book was released on 2014-11-19 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Leonhardi Euleri Mechanica Sive Motus Scientia Analytice Exposita

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Author : Paul Stäckel
Publisher : Legare Street Press
ISBN 13 : 9781021321268
Total Pages : 0 pages
Book Rating : 4.3/5 (212 download)

Book Synopsis Leonhardi Euleri Mechanica Sive Motus Scientia Analytice Exposita by : Paul Stäckel

Download or read book Leonhardi Euleri Mechanica Sive Motus Scientia Analytice Exposita written by Paul Stäckel and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work of mathematical physics by Euler is presented in a clear and accessible new translation by Paul Stäckel. With detailed explanations and rigorous proofs, Euler lays out the principles of classical mechanics and explores the physics of motion in great detail. A must-read for anyone interested in the history and nature of physical science. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Euler's Gem

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Author : David S. Richeson
Publisher : Princeton University Press
ISBN 13 : 0691191999
Total Pages : 336 pages
Book Rating : 4.6/5 (911 download)

Book Synopsis Euler's Gem by : David S. Richeson

Download or read book Euler's Gem written by David S. Richeson and published by Princeton University Press. This book was released on 2019-07-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.

Euler as Physicist

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Author : Dieter Suisky
Publisher : Springer Science & Business Media
ISBN 13 : 3540748652
Total Pages : 357 pages
Book Rating : 4.5/5 (47 download)

Book Synopsis Euler as Physicist by : Dieter Suisky

Download or read book Euler as Physicist written by Dieter Suisky and published by Springer Science & Business Media. This book was released on 2008-12-05 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of the book is the development of physics in the 18th century centered upon the fundamental contributions of Leonhard Euler to physics and mathematics. This is the first book devoted to Euler as a physicist. Classical mechanics are reconstructed in terms of the program initiated by Euler in 1736 and its completion over the following decades until 1760. The book examines how Euler coordinated his progress in mathematics with his progress in physics.

Leonhard Euler's Letters to a German Princess

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Author : Ronald S Calinger
Publisher : Morgan & Claypool Publishers
ISBN 13 : 164327192X
Total Pages : 215 pages
Book Rating : 4.6/5 (432 download)

Book Synopsis Leonhard Euler's Letters to a German Princess by : Ronald S Calinger

Download or read book Leonhard Euler's Letters to a German Princess written by Ronald S Calinger and published by Morgan & Claypool Publishers. This book was released on 2019-06-28 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author : Andreas K. Heyne
Publisher : Springer Science & Business Media
ISBN 13 : 9783764383329
Total Pages : 56 pages
Book Rating : 4.3/5 (833 download)

Book Synopsis Leonhard Euler by : Andreas K. Heyne

Download or read book Leonhard Euler written by Andreas K. Heyne and published by Springer Science & Business Media. This book was released on 2007-01-22 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: This illustrated account of Euler's life and livings is embedded in the great political developments of his time, particularly in Austria, Prussia and Russia. The comic follows the life of the genius from Basel, who, born 300 years ago, set out to change the scientific world.

Letters of Euler on Different Subjects in Physics and Philosophy

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Author : Leonhard Euler
Publisher :
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Letters of Euler on Different Subjects in Physics and Philosophy by : Leonhard Euler

Download or read book Letters of Euler on Different Subjects in Physics and Philosophy written by Leonhard Euler and published by . This book was released on 1802 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Euler-Mayer Correspondence (1751-1755)

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Author : Leonhard Euler
Publisher : Palgrave
ISBN 13 : 9781349012527
Total Pages : 132 pages
Book Rating : 4.0/5 (125 download)

Book Synopsis The Euler-Mayer Correspondence (1751-1755) by : Leonhard Euler

Download or read book The Euler-Mayer Correspondence (1751-1755) written by Leonhard Euler and published by Palgrave. This book was released on 2013-12-31 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: