Correspondence Of Leonhard Euler With Christian Goldbach

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Correspondence of Leonhard Euler with Christian Goldbach

Author : Leonhard Euler
Publisher : Birkhäuser
ISBN 13 : 9783034808798
Total Pages : 0 pages
Book Rating : 4.8/5 (87 download)

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Book Synopsis Correspondence of Leonhard Euler with Christian Goldbach by : Leonhard Euler

Download or read book Correspondence of Leonhard Euler with Christian Goldbach written by Leonhard Euler and published by Birkhäuser. This book was released on 2015-09-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Correspondence of Leonhard Euler with Christian Goldbach

Author : Leonhard Euler
Publisher : Birkhäuser
ISBN 13 : 9783034808927
Total Pages : 0 pages
Book Rating : 4.8/5 (89 download)

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Book Synopsis Correspondence of Leonhard Euler with Christian Goldbach by : Leonhard Euler

Download or read book Correspondence of Leonhard Euler with Christian Goldbach written by Leonhard Euler and published by Birkhäuser. This book was released on 2015-10-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Correspondence of Leonhard Euler with Christian Goldbach

Author : Leonhard Euler
Publisher : Birkhäuser
ISBN 13 : 9783034808927
Total Pages : 580 pages
Book Rating : 4.8/5 (89 download)

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Book Synopsis Correspondence of Leonhard Euler with Christian Goldbach by : Leonhard Euler

Download or read book Correspondence of Leonhard Euler with Christian Goldbach written by Leonhard Euler and published by Birkhäuser. This book was released on 2015-10-12 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Leonhard Euler

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

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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.

Leonhard Euler

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

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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

Leonhard Euler

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

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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.

Leonhard Euler

Author : Ronald S. Calinger
Publisher : Princeton University Press
ISBN 13 : 1400866634
Total Pages : 690 pages
Book Rating : 4.4/5 (8 download)

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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 2015-11-24 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: An acclaimed biography of the Enlightenment's greatest mathematician 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.

The Early Mathematics of Leonhard Euler

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

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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.

Mathematical Correspondences and Critical Editions

Author : Maria Teresa Borgato
Publisher : Birkhäuser
ISBN 13 : 3319735772
Total Pages : 345 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Mathematical Correspondences and Critical Editions by : Maria Teresa Borgato

Download or read book Mathematical Correspondences and Critical Editions written by Maria Teresa Borgato and published by Birkhäuser. This book was released on 2019-03-22 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical correspondence offers a rich heritage for the history of mathematics and science, as well as cultural history and other areas. It naturally covers a vast range of topics, and not only of a scientific nature; it includes letters between mathematicians, but also between mathematicians and politicians, publishers, and men or women of culture. Wallis, Leibniz, the Bernoullis, D'Alembert, Condorcet, Lagrange, Gauss, Hermite, Betti, Cremona, Poincaré and van der Waerden are undoubtedly authors of great interest and their letters are valuable documents, but the correspondence of less well-known authors, too, can often make an equally important contribution to our understanding of developments in the history of science. Mathematical correspondences also play an important role in the editions of collected works, contributing to the reconstruction of scientific biographies, as well as the genesis of scientific ideas, and in the correct dating and interpretation of scientific writings. This volume is based on the symposium “Mathematical Correspondences and Critical Editions,” held at the 6th International Conference of the ESHS in Lisbon, Portugal in 2014. In the context of the more than fifteen major and minor editions of mathematical correspondences and collected works presented in detail, the volume discusses issues such as • History and prospects of past and ongoing edition projects, • Critical aspects of past editions, • The complementary role of printed and digital editions, • Integral and partial editions of correspondence, • Reproduction techniques for manuscripts, images and formulae, and the editorial challenges and opportunities presented by digital technology.

Discrete Maths and Its Applications Global Edition 7e

Author : Kenneth Rosen
Publisher : McGraw Hill
ISBN 13 : 0077151518
Total Pages : 972 pages
Book Rating : 4.0/5 (771 download)

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Book Synopsis Discrete Maths and Its Applications Global Edition 7e by : Kenneth Rosen

Download or read book Discrete Maths and Its Applications Global Edition 7e written by Kenneth Rosen and published by McGraw Hill. This book was released on 2012-09-16 with total page 972 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are pleased to present this Global Edition which has been developed specifically to meet the needs of international students of discrete mathematics. In addition to great depth in key areas and a broad range of real-world applications across multiple disciplines, we have added new material to make the content more relevant and improve learning outcomes for the international student.This Global Edition includes: An entire new chapter on Algebraic Structures and Coding Theory New and expanded sections within chapters covering Foundations, Basic Structures, and Advanced Counting Techniques Special online only chapters on Boolean Algebra and Modeling Computation New and revised problems for the international student integrating alternative methods and solutions.This Global Edition has been adapted to meet the needs of courses outside of the United States and does not align with the instructor and student resources available with the US edition.

Leonhard Euler's Letters to a German Princess

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

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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.

Christian Goldbach 1690–1764

Author : Adolf A. Jushkevic
Publisher : Birkhäuser
ISBN 13 : 3034873824
Total Pages : 261 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Christian Goldbach 1690–1764 by : Adolf A. Jushkevic

Download or read book Christian Goldbach 1690–1764 written by Adolf A. Jushkevic and published by Birkhäuser. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Als P.R. Fuss, ein Urenkel Leonhard Eulers und seinerzeit standi ger Sekretar der Petersburger Akademie der Wissenschaften, das zweibandige Werk Mathematischer und physikalischer Briefwech sel einiger bedeutender Geometer des 18. Jahrhunderts heraus gab, reservierte er den erst en Band fiir den Briefwechsel seines 1 beriihmten UrgroBvaters mit dessen Freund Christian Goldbach. 1m zweiten Band nimmt die Korrespondenz Goldbachs mit zwei 2 Vert ret ern der Familie Bernoulli, mit Nikolaus II und Daniel, einen beachtlichen Platz - mehr als 300 Seiten - ein. AIle diese Gelehrten des 18. Jahrhunderts waren Mitglieder der Pe tersburger Akademie der Wissenschaften. Euler und Daniel Ber noulli genieBen Weltruhm, Nikolaus II Bernoulli starb ganz jung, ohne geniigend Zeit gehabt zu haben, sein offensichtlich vorhan denes Talent zu entfalten. Goldbachs wissenschaftliche Verdienste sind weitaus weniger bekannt, obwohl jeder Mathematiker schon etwas von der Goldbachschen Vermutung in der Zahlentheorie gehort hat. Fuss auBerte sich tiber Goldbach folgendermaBen: {laquo}Sein Briefwechsel zeigt, daB es der graBen Breite seiner Kennt nisse geschuldet ist, wenn er auf keinem Spezialgebiet beriihmt wurde. Bald sehen wir ihn mit Bayer knifRige Fragen der klassi schen und orientalischen Philologie behandeln; bald laBt er sich auf endlose Streitereien liber Archaologie mit dem berlihmten Stosch ein; hier zieht ihn Biilfinger zu den damals in Mode kom menden metaphysischen Spekulationen heran, die indessen zu rein gar nichts fiihrten; dort regen Euler und die Bernoulli ihn an, sich mit Mathematik zu beschaftigen und weihen ihn in die Geheimnisse der hoheren Analysis und der Zahlentheorie ein.

Series and Products in the Development of Mathematics

Author : Ranjan Roy
Publisher : Cambridge University Press
ISBN 13 : 1108709451
Total Pages : 779 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Series and Products in the Development of Mathematics by : Ranjan Roy

Download or read book Series and Products in the Development of Mathematics written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: First of two volumes tracing the development of series and products. Second edition adds extensive material from original works.

Series and Products in the Development of Mathematics: Volume 1

Author : Ranjan Roy
Publisher : Cambridge University Press
ISBN 13 : 1108573185
Total Pages : pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Series and Products in the Development of Mathematics: Volume 1 by : Ranjan Roy

Download or read book Series and Products in the Development of Mathematics: Volume 1 written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible to even advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 treats more recent work, including deBranges' solution of Bieberbach's conjecture, and requires more advanced mathematical knowledge.

Leonhard Euler

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

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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.

How Euler Did Even More

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

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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.

Mathematical Analysis and Analytic Number Theory 2019

Author : Rekha Srivastava
Publisher : MDPI
ISBN 13 : 3036500324
Total Pages : 318 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Mathematical Analysis and Analytic Number Theory 2019 by : Rekha Srivastava

Download or read book Mathematical Analysis and Analytic Number Theory 2019 written by Rekha Srivastava and published by MDPI. This book was released on 2021-04-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of investigations involving the theory and applications of the various tools and techniques of mathematical analysis and analytic number theory, which are remarkably widespread in many diverse areas of the mathematical, biological, physical, chemical, engineering, and statistical sciences. It contains invited and welcome original as well as review-cum-expository research articles dealing with recent and new developments on the topics of mathematical analysis and analytic number theory as well as their multidisciplinary applications.