The Legacy of Leonhard Euler - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Legacy of Leonhard Euler write by Lokenath Debnath. This book was released on 2010. The Legacy of Leonhard Euler available in PDF, EPUB and Kindle. 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.
The Legacy of Leonhard Euler
The Legacy of Leonhard Euler - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Legacy of Leonhard Euler write by Lokenath Debnath. This book was released on 2010. The Legacy of Leonhard Euler available in PDF, EPUB and Kindle. 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 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Leonhard Euler write by Robert E. Bradley. This book was released on 2007-03-20. Leonhard Euler available in PDF, EPUB and Kindle. 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
Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories
Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories write by Isaac E Elishakoff. This book was released on 2019-10-29. Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories available in PDF, EPUB and Kindle. The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)
The Silk Roads
The Silk Roads - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Silk Roads write by Peter Frankopan. This book was released on 2016-02-16. The Silk Roads available in PDF, EPUB and Kindle. INTERNATIONAL BESTSELLER • Far more than a history of the Silk Roads, this book is truly a revelatory new history of the world, promising to destabilize notions of where we come from and where we are headed next. "A rare book that makes you question your assumptions about the world.” —The Wall Street Journal From the Middle East and its political instability to China and its economic rise, the vast region stretching eastward from the Balkans across the steppe and South Asia has been thrust into the global spotlight in recent years. Frankopan teaches us that to understand what is at stake for the cities and nations built on these intricate trade routes, we must first understand their astounding pasts. Frankopan realigns our understanding of the world, pointing us eastward. It was on the Silk Roads that East and West first encountered each other through trade and conquest, leading to the spread of ideas, cultures and religions. From the rise and fall of empires to the spread of Buddhism and the advent of Christianity and Islam, right up to the great wars of the twentieth century—this book shows how the fate of the West has always been inextricably linked to the East. Also available: The New Silk Roads, a timely exploration of the dramatic and profound changes our world is undergoing right now—as seen from the perspective of the rising powers of the East.
