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The Early Mathematics Of Leonhard Euler

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The Early Mathematics Of Leonhard Euler

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Author : C. Edward Sandifer
language : en
Publisher: MAA
Release Date : 2007-03-15

The Early Mathematics Of Leonhard Euler written by C. Edward Sandifer and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-15 with Biography & Autobiography categories.

Describes Euler's early mathematical works - the 50 mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These works contain some of Euler's greatest mathematics: the Konigsburg bridge problem, his solution to the Basel problem, his first proof of the Euler-Fermat theorem. Also presented are important results that we seldom realize are due to Euler: that mixed partial derivatives are equal, our f(x) notation, and the integrating factor in differential equations. The book 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.

The Early Mathematics Of Leonhard Euler

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Author : C. Edward Sandifer
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-14

The Early Mathematics Of Leonhard Euler written by C. Edward Sandifer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-14 with Education categories.

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.

The Early Mathematics Of Leonhard Euler

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Author : Charles Edward Sandifer
language : en
Publisher:
Release Date :

The Early Mathematics Of Leonhard Euler written by Charles Edward Sandifer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Electronic books categories.

Mathematical Time Capsules

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Author : Dick Jardine
language : en
Publisher: MAA
Release Date : 2011

Mathematical Time Capsules written by Dick Jardine and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computer science categories.

Mathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Readers will find articles and activities from mathematics history that enhance the learning of topics covered in the undergraduate or secondary mathematics curricula. Each capsule presents at least one topic or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide teachers with historical background and classroom activities designed for immediate use in the classroom, along with further references and resources on the chapter subject. --Publisher description.

Mathematics And Its History

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Author : John Stillwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-02

Mathematics And Its History written by John Stillwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-02 with Mathematics categories.

From a review of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.

Mathematics In Historical Context

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Author : Jeff Suzuki
language : en
Publisher: MAA
Release Date : 2009-08-27

Mathematics In Historical Context written by Jeff Suzuki and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-27 with Mathematics categories.

What would Newton see if he looked out his bedroom window? This book describes the world around the important mathematicians of the past, and explores the complex interaction between mathematics, mathematicians, and society. It takes the reader on a grand tour of history from the ancient Egyptians to the twentieth century to show how mathematicians and mathematics were affected by the outside world, and at the same time how the outside world was affected by mathematics and mathematicians. Part biography, part mathematics, and part history, this book provides the interested layperson the background to understand mathematics and the history of mathematics, and is suitable for supplemental reading in any history of mathematics course.

Leonhard Euler

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Author : Ronald Calinger
language : en
Publisher: Princeton University Press
Release Date : 2019-12-03

Leonhard Euler written by Ronald Calinger and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-03 with Biography & Autobiography categories.

"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

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Author : C. Edward Sandifer
language : en
Publisher: The Mathematical Association of America
Release Date : 2014-11-19

How Euler Did Even More written by C. Edward Sandifer and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-19 with Mathematics categories.

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 Mathematical Mind Of F M Dostoevsky

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Author : Michael Marsh-Soloway
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2024-11-19

The Mathematical Mind Of F M Dostoevsky written by Michael Marsh-Soloway and has been published by Bloomsbury Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-19 with History categories.

The Mathematical Mind of F. M. Dostoevsky: Imaginary Numbers, Non-Euclidean Geometry, and Infinity reconstructs the curriculum and readings that F. M. Dostoevsky encountered during his studies and connects such sources to the mathematical references and themes in his published works. Prior to becoming a man of letters, Dostoevsky studied at the Main Engineering School in St. Petersburg from 1838 to 1843. After he was arrested, submitted to mock execution by firing squad, and sentenced to penal servitude in Siberia for his involvement in the revolutionary Petrashevsky Circle in 1849, most of his books and journals from the period of his education were confiscated, and destroyed by the Third Section of the Russian Secret Police. Although most scholars discount the legacy of his engineering studies, the literary aesthetics of his works communicate an acute awareness of mathematical principles and debates. This book unearths subtexts in works by Dostoevsky, communicating veins of mathematical thought that evolved throughout Classical Antiquity, the Renaissance, and the Scientific Revolution.

Sophie Germain

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Author : Dora Musielak
language : en
Publisher: Springer Nature
Release Date : 2020-03-23

Sophie Germain written by Dora Musielak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-23 with Mathematics categories.

This biography of the mathematician, Sophie Germain, paints a rich portrait of a brilliant and complex woman, the mathematics she developed, her associations with Gauss, Legendre, and other leading researchers, and the tumultuous times in which she lived. Sophie Germain stood right between Gauss and Legendre, and both publicly recognized her scientific efforts. Unlike her female predecessors and contemporaries, Sophie Germain was an impressive mathematician and made lasting contributions to both number theory and the theories of plate vibrations and elasticity. She was able to walk with ease across the bridge between the fields of pure mathematics and engineering physics. Though isolated and snubbed by her peers, Sophie Germain was the first woman to win the prize of mathematics from the French Academy of Sciences. She is the only woman who contributed to the proof of Fermat’s Last Theorem. In this unique biography, Dora Musielak has done the impossible―she has chronicled Sophie Germain’s brilliance through her life and work in mathematics, in a way that is simultaneously informative, comprehensive, and accurate.

The Early Mathematics Of Leonhard Euler

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