Euler Celestial Analysis

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Euler Celestial Analysis

Author : Dora Musielak
Publisher :
ISBN 13 : 9781546231868
Total Pages : 258 pages
Book Rating : 4.2/5 (318 download)

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Book Synopsis Euler Celestial Analysis by : Dora Musielak

Download or read book Euler Celestial Analysis written by Dora Musielak and published by . This book was released on 2018-03-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonhard Euler stood at the center of mathematical development in the eighteenth century. Euler Celestial Analysis shines a dazzling light on the intellectual context of Eulers contributions to mathematical astronomy. Offering an elegant and unbiased portrait of this remarkable mathematician, Dora Musielak uses Eulers works to explore how he built the foundation for the rigorous study of motion in our Solar System. With his exquisite flair for analysis, Euler stated the three-body problem of celestial mechanics, and he derived the differential equations for the general n-body problem, identifying all the integrals of motion. He studied comets, eclipses, derived planetary orbits, and pioneered the study of planetary perturbations. Old and blind, Euler put forward the most advanced lunar theory of his time. Euler Celestial Analysis also provides an introduction to spacecraft orbit mechanics, a branch of celestial mechanics that studies spaceflight and that has revolutionized the direct exploration of the heavens.

Leonhard Euler and the Foundations of Celestial Mechanics

Author : Dora Musielak
Publisher : Springer Nature
ISBN 13 : 3031123220
Total Pages : 228 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Leonhard Euler and the Foundations of Celestial Mechanics by : Dora Musielak

Download or read book Leonhard Euler and the Foundations of Celestial Mechanics written by Dora Musielak and published by Springer Nature. This book was released on 2022-11-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this book is to shine a bright light on the intellectual context of Euler’s contributions to physics and mathematical astronomy. Leonhard Euler is one of the most important figures in the history of science, a blind genius who introduced mathematical concepts and many analytical tools to help us understand and describe the universe. Euler also made a monumental contribution to astronomy and orbital mechanics, developing what he called astronomia mechanica. Orbital mechanics of artificial satellites and spacecraft is based on Euler’s analysis of astromechanics. However, previous books have often neglected many of his discoveries in this field. For example, orbital mechanics texts refer to the five equilibrium points in the Sun-Earth-Moon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general n-body problem and who discovered the three collinear points in the three-body problem of celestial mechanics. These equilibrium points are essential today in space exploration; the James Webb Space Telescope (successor to the Hubble), for example, now orbits the Sun near L2, one of the collinear points of the Sun-Earth-Moon system, while future missions to study the universe will place observatories in orbit around Sun-Earth and Earth-Moon equilibrium points that should be properly called Euler-Lagrange points. In this book, the author uses Euler’s memoirs, correspondence, and other scholarly sources to explore how he established the mathematical groundwork for the rigorous study of motion in our Solar System. The reader will learn how he studied comets and eclipses, derived planetary orbits, and pioneered the study of planetary perturbations, and how, old and blind, Euler put forward the most advanced lunar theory of his time.

An Introduction to Celestial Mechanics

Author : Richard Fitzpatrick
Publisher : Cambridge University Press
ISBN 13 : 1139510940
Total Pages : 277 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis An Introduction to Celestial Mechanics by : Richard Fitzpatrick

Download or read book An Introduction to Celestial Mechanics written by Richard Fitzpatrick and published by Cambridge University Press. This book was released on 2012-06-28 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the three-body problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments.

Integrable Systems in Celestial Mechanics

Author : Diarmuid Ó'Mathúna
Publisher : Springer Science & Business Media
ISBN 13 : 0817645950
Total Pages : 241 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Integrable Systems in Celestial Mechanics by : Diarmuid Ó'Mathúna

Download or read book Integrable Systems in Celestial Mechanics written by Diarmuid Ó'Mathúna and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows that exact solutions to the Kepler (two-body), the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that admits the general representation of the orbits and follows a definite shared pattern Includes a full analysis of the planar Euler problem via a clear generalization of the form of the solution in the Kepler case Original insights that have hithertofore not appeared in book form

Technical Translations

Author :
Publisher :
ISBN 13 :
Total Pages : 852 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Technical Translations by :

Download or read book Technical Translations written by and published by . This book was released on 1963-04 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Leonhard Euler

Author : Ronald 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 Calinger

Download or read book Leonhard Euler written by Ronald 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.

The Genius of Euler: Reflections on his Life and Work

Author : William Dunham
Publisher : American Mathematical Soc.
ISBN 13 : 147045744X
Total Pages : 328 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Genius of Euler: Reflections on his Life and Work by : William Dunham

Download or read book The Genius of Euler: Reflections on his Life and Work written by William Dunham and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euler's e Essentials

Author : N.B. Singh
Publisher : N.B. Singh
ISBN 13 :
Total Pages : 311 pages
Book Rating : 4./5 ( download)

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Book Synopsis Euler's e Essentials by : N.B. Singh

Download or read book Euler's e Essentials written by N.B. Singh and published by N.B. Singh. This book was released on with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Euler's e Essentials" is a beginner-friendly guidebook that introduces readers to the fascinating world of mathematics through the lens of Euler's constant, denoted by the symbol e. Written in an accessible and easy-to-understand manner, this book is designed for individuals with little to no mathematical background who are curious about the beauty and significance of mathematical concepts. Through clear explanations, illustrative examples, and real-world applications, readers will embark on a journey to discover the fundamental properties of Euler's constant and its wide-ranging implications in various scientific disciplines, from calculus and physics to finance and biology. Whether you're a high school student exploring mathematics for the first time or an adult learner eager to delve into the mysteries of numbers, "Euler's e Essentials" offers an engaging and enlightening introduction to one of the most important constants in mathematics.

A History of Physics: Phenomena, Ideas and Mechanisms

Author : Raffaele Pisano
Publisher : Springer Nature
ISBN 13 : 3031261747
Total Pages : 820 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis A History of Physics: Phenomena, Ideas and Mechanisms by : Raffaele Pisano

Download or read book A History of Physics: Phenomena, Ideas and Mechanisms written by Raffaele Pisano and published by Springer Nature. This book was released on with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Legacy of Leonhard Euler

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

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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.

Sophie Germain

Author : Dora Musielak
Publisher : Springer Nature
ISBN 13 : 303038375X
Total Pages : 261 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Sophie Germain by : Dora Musielak

Download or read book Sophie Germain written by Dora Musielak and published by Springer Nature. This book was released on 2020-03-23 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Leonhard Euler

Author : Robert E. Bradley
Publisher : Elsevier
ISBN 13 : 0080471293
Total Pages : 543 pages
Book Rating : 4.0/5 (84 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 543 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

Introduction to Hamiltonian Dynamical Systems and the N-Body Problem

Author : Kenneth R. Meyer
Publisher : Springer
ISBN 13 : 3319536915
Total Pages : 389 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Introduction to Hamiltonian Dynamical Systems and the N-Body Problem by : Kenneth R. Meyer

Download or read book Introduction to Hamiltonian Dynamical Systems and the N-Body Problem written by Kenneth R. Meyer and published by Springer. This book was released on 2017-05-04 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with applications. The previous editions grew out of graduate level courses in mathematics, engineering, and physics given at several different universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. This text provides a mathematical structure of celestial mechanics ideal for beginners, and will be useful to graduate students and researchers alike. Reviews of the second edition: "The primary subject here is the basic theory of Hamiltonian differential equations studied from the perspective of differential dynamical systems. The N-body problem is used as the primary example of a Hamiltonian system, a touchstone for the theory as the authors develop it. This book is intended to support a first course at the graduate level for mathematics and engineering students. ... It is a well-organized and accessible introduction to the subject ... . This is an attractive book ... ." (William J. Satzer, The Mathematical Association of America, March, 2009) “The second edition of this text infuses new mathematical substance and relevance into an already modern classic ... and is sure to excite future generations of readers. ... This outstanding book can be used not only as an introductory course at the graduate level in mathematics, but also as course material for engineering graduate students. ... it is an elegant and invaluable reference for mathematicians and scientists with an interest in classical and celestial mechanics, astrodynamics, physics, biology, and related fields.” (Marian Gidea, Mathematical Reviews, Issue 2010 d)

Gunpowder, Explosives and the State

Author : Brenda J. Buchanan
Publisher : Routledge
ISBN 13 : 1351931903
Total Pages : 321 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Gunpowder, Explosives and the State by : Brenda J. Buchanan

Download or read book Gunpowder, Explosives and the State written by Brenda J. Buchanan and published by Routledge. This book was released on 2016-12-05 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gunpowder studies are still in their infancy despite the long-standing civil and military importance of this explosive since its discovery in China in the mid-ninth century AD. In this second volume by contributors who meet regularly at symposia of the International Committee for the History of Technology (ICOHTEC), the research is again rooted in the investigation of the technology of explosives manufacture, but the fact that the chapters range in scope from the Old World to the New, from sources of raw materials in south-east Asia to the complications of manufacture in the West, shows that the story is more than the simple one of how an intriguing product was made. This volume is the first to develop the implications of the subject, not just in the sense of relating it to changing military technologies, but in that of seeing the securing of gunpowder supplies as fundamental to the power of the state and imperial pretensions.The search for saltpetre, for example, an essential ingredient of gunpowder, became a powerful engine of sea-going European trade from the early seventeenth century. Smaller states like Venice were unable to form these distant connections, and so to sustain a gunpowder army. Stronger states like France and Britain were able to do so, and became even more powerful as the demand for improved explosives fostered national strengths - leading to a development of the sciences, especially chemistry, in the former case, and of manufacturing techniques in the latter.

The Legacy of Leonhard Euler

Author : Lokenath Debnath
Publisher : World Scientific
ISBN 13 : 1848165250
Total Pages : 420 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis The Legacy of Leonhard Euler by : Lokenath Debnath

The DFT

Author : William L. Briggs
Publisher : SIAM
ISBN 13 : 9781611971514
Total Pages : 449 pages
Book Rating : 4.9/5 (715 download)

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Book Synopsis The DFT by : William L. Briggs

Download or read book The DFT written by William L. Briggs and published by SIAM. This book was released on 1995-01-01 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores both the practical and theoretical aspects of the Discrete Fourier Transform, one of the most widely used tools in science, engineering, and computational mathematics. Designed to be accessible to an audience with diverse interests and mathematical backgrounds, the book is written in an informal style and is supported by many examples, figures, and problems. Conceived as an "owner's" manual, this comprehensive book covers such topics as the history of the DFT, derivations and properties of the DFT, comprehensive error analysis, issues concerning the implementation of the DFT in one and several dimensions, symmetric DFTs, a sample of DFT applications, and an overview of the FFT.

The scientific dialogue linking America, Asia and Europe between the 12th and the 20thCentury.

Author : Fabio D'Angelo
Publisher : Fabio D'Angelo
ISBN 13 : 8894361209
Total Pages : 457 pages
Book Rating : 4.8/5 (943 download)

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Book Synopsis The scientific dialogue linking America, Asia and Europe between the 12th and the 20thCentury. by : Fabio D'Angelo

Download or read book The scientific dialogue linking America, Asia and Europe between the 12th and the 20thCentury. written by Fabio D'Angelo and published by Fabio D'Angelo. This book was released on 2018-06-11 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of Viaggiatori “Curatele” series seeks to recreate some scientific dialogues, namely meetings, exchanges and acquisition of theoretical and practical scientific knowledge, thus linking the cultural, historical and geographical context of America, Asia, Europe and Mediterranean Sea between the 16th and the 20th century. More specifically, the main objective is to consider the role of travellers as passeurs, as “intermediaries” for building and allowing the circulation of knowhow and the practical and theoretical knowledge from one continent to another.