The Legacy of Leonhard Euler

The Legacy of Leonhard Euler
Author: Lokenath Debnath
Publsiher: World Scientific
Total Pages: 420
Release: 2010
ISBN 10: 1848165269
ISBN 13: 9781848165267
Language: EN, FR, DE, ES & NL

The Legacy of Leonhard Euler Book Review:

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.

Leonhard Euler

Leonhard Euler
Author: Robert E. Bradley,Ed Sandifer
Publsiher: Elsevier
Total Pages: 542
Release: 2007-03-20
ISBN 10: 9780080471297
ISBN 13: 0080471293
Language: EN, FR, DE, ES & NL

Leonhard Euler Book Review:

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

Leonhard Euler
Author: Ronald S. Calinger
Publsiher: Princeton University Press
Total Pages: 696
Release: 2019-12-03
ISBN 10: 0691196400
ISBN 13: 9780691196404
Language: EN, FR, DE, ES & NL

Leonhard Euler Book Review:

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.

Leonhard Euler

Leonhard Euler
Author: Robert E. Bradley,Ed Sandifer
Publsiher: Elsevier
Total Pages: 542
Release: 2007-03-20
ISBN 10: 9780080471297
ISBN 13: 0080471293
Language: EN, FR, DE, ES & NL

Leonhard Euler Book Review:

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

Letters of Euler on Different Subjects in Natural Philosophy

Letters of Euler on Different Subjects in Natural Philosophy
Author: Leonhard Euler
Publsiher: Anonim
Total Pages: 329
Release: 1838
ISBN 10:
ISBN 13: UIUC:30112068208781
Language: EN, FR, DE, ES & NL

Letters of Euler on Different Subjects in Natural Philosophy Book Review:

Foundations of Differential Calculus

Foundations of Differential Calculus
Author: Euler
Publsiher: Springer Science & Business Media
Total Pages: 194
Release: 2006-05-04
ISBN 10: 0387226451
ISBN 13: 9780387226453
Language: EN, FR, DE, ES & NL

Foundations of Differential Calculus Book Review:

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.

Euler The Master of Us All

Euler  The Master of Us All
Author: William Dunham
Publsiher: American Mathematical Soc.
Total Pages: 185
Release: 2020-07-29
ISBN 10: 1470458411
ISBN 13: 9781470458416
Language: EN, FR, DE, ES & NL

Euler The Master of Us All Book Review:

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.

Biographical Encyclopedia of Astronomers

Biographical Encyclopedia of Astronomers
Author: Virginia Trimble,Thomas R. Williams,Katherine Bracher,Richard Jarrell,Jordan D. Marché,F. Jamil Ragep
Publsiher: Springer Science & Business Media
Total Pages: 1348
Release: 2007-09-18
ISBN 10: 0387304002
ISBN 13: 9780387304007
Language: EN, FR, DE, ES & NL

Biographical Encyclopedia of Astronomers Book Review:

The Biographical Encyclopedia of Astronomers is a unique and valuable resource for historians and astronomers alike. The two volumes include approximately 1550 biographical sketches on astronomers from antiquity to modern times. It is the collective work of about 400 authors edited by an editorial board of 9 historians and astronomers, and provides additional details on the nature of an entry and some summary statistics on the content of entries. This new reference provides biographical information on astronomers and cosmologists by utilizing contemporary historical scholarship. Individual entries vary from 100 to 1500 words, including the likes of the superluminaries such as Newton and Einstein, as well as lesser-known astronomers like Galileo’s acolyte, Mario Guiducci. A comprehensive contributor index helps researchers to identify the authors of important scientific topics and treatises.

How Euler Did Even More

How Euler Did Even More
Author: C. Edward Sandifer
Publsiher: The Mathematical Association of America
Total Pages: 240
Release: 2014-11-19
ISBN 10: 0883855844
ISBN 13: 9780883855843
Language: EN, FR, DE, ES & NL

How Euler Did Even More Book Review:

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.

Calculus

Calculus
Author: David Alexander Smith,Lawrence C. Moore
Publsiher: D C Heath & Company
Total Pages: 714
Release: 1996
ISBN 10:
ISBN 13: PSU:000043310180
Language: EN, FR, DE, ES & NL

Calculus Book Review:

Leonhard Euler s Letters to a German Princess

Leonhard Euler s Letters to a German Princess
Author: Ronald S Calinger,Ekaterina (Katya) Denisova,Elena N Polyakhova
Publsiher: Morgan & Claypool Publishers
Total Pages: 214
Release: 2019-06-28
ISBN 10: 164327192X
ISBN 13: 9781643271927
Language: EN, FR, DE, ES & NL

Leonhard Euler s Letters to a German Princess Book Review:

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

Leonhard Euler
Author: Ronald Calinger
Publsiher: Princeton University Press
Total Pages: 669
Release: 2016
ISBN 10: 0691119279
ISBN 13: 9780691119274
Language: EN, FR, DE, ES & NL

Leonhard Euler Book Review:

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.

Elements of Algebra

Elements of Algebra
Author: Leonhard Euler,Joseph Louis Lagrange
Publsiher: Anonim
Total Pages: 593
Release: 1840
ISBN 10:
ISBN 13: STANFORD:36105116272613
Language: EN, FR, DE, ES & NL

Elements of Algebra Book Review:

Leonhard Euler

Leonhard Euler
Author: Emil A. Fellmann
Publsiher: Springer Science & Business Media
Total Pages: 180
Release: 2007-04-05
ISBN 10: 3764375396
ISBN 13: 9783764375393
Language: EN, FR, DE, ES & NL

Leonhard Euler Book Review:

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.

A Short History of Astronomy

A Short History of Astronomy
Author: Arthur Berry
Publsiher: Anonim
Total Pages: 440
Release: 1898
ISBN 10:
ISBN 13: UOM:39015017145825
Language: EN, FR, DE, ES & NL

A Short History of Astronomy Book Review:

A Treatise on Fluxions

A Treatise on Fluxions
Author: Colin MacLaurin
Publsiher: Anonim
Total Pages: 329
Release: 1801
ISBN 10:
ISBN 13: MSU:31293002057374
Language: EN, FR, DE, ES & NL

A Treatise on Fluxions Book Review:

The Early Mathematics of Leonhard Euler

The Early Mathematics of Leonhard Euler
Author: C. Edward Sandifer
Publsiher: American Mathematical Soc.
Total Pages: 391
Release: 2020-07-14
ISBN 10: 1470451808
ISBN 13: 9781470451806
Language: EN, FR, DE, ES & NL

The Early Mathematics of Leonhard Euler Book Review:

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.

Leonhard Euler

Leonhard Euler
Author: Emil A. Fellmann
Publsiher: Springer Science & Business Media
Total Pages: 180
Release: 2007-04-05
ISBN 10: 3764375396
ISBN 13: 9783764375393
Language: EN, FR, DE, ES & NL

Leonhard Euler Book Review:

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.

Correspondence of Leonhard Euler with Christian Goldbach

Correspondence of Leonhard Euler with Christian Goldbach
Author: Leonhard Euler
Publsiher: Birkhäuser
Total Pages: 1666
Release: 2015-09-08
ISBN 10: 9783034808798
ISBN 13: 3034808798
Language: EN, FR, DE, ES & NL

Correspondence of Leonhard Euler with Christian Goldbach Book Review:

When Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academy’s secretary, the Prussian jurist and amateur mathematician Christian Goldbach (1690-1764). Their encounter would grow into a lifelong friendship, as evinced by nearly 200 letters sent over 35 years. This exchange – Euler’s most substantial long-term correspondence – has now been edited for the first time with an English translation, ample commentary and documentary indices. These present an overview of 18th-century number theory, its sources and repercussions, many details of the protagonists’ biographies, and a wealth of insights into academic life in St. Petersburg and Berlin between 1725 and 1765. Part I includes an introduction and the original texts of the Euler-Goldbach letters, while Part II presents the English translations and documentary indices.

Euler s Gem

Euler s Gem
Author: David S. Richeson
Publsiher: Princeton University Press
Total Pages: 336
Release: 2019-07-23
ISBN 10: 0691191999
ISBN 13: 9780691191997
Language: EN, FR, DE, ES & NL

Euler s Gem Book Review:

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.