Heavenly Mathematics

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Heavenly Mathematics

Author : Glen Van Brummelen
Publisher : Princeton University Press
ISBN 13 : 0691148929
Total Pages : 218 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Heavenly Mathematics by : Glen Van Brummelen

Download or read book Heavenly Mathematics written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2013 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries.

Heavenly Mathematics

Author : Glen Van Brummelen
Publisher : Princeton University Press
ISBN 13 : 0691175993
Total Pages : 208 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Heavenly Mathematics by : Glen Van Brummelen

Download or read book Heavenly Mathematics written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2017-04-04 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth."--Jacket.

The Gem of the Astral Sciences, Or Mathematics of Celestial Philosophy; with Improved Formulae; Also an Original Treatise for Performing Calculations for Australia and Other Places in the Southern Hemisphere

Download The Gem of the Astral Sciences, Or Mathematics of Celestial Philosophy; with Improved Formulae; Also an Original Treatise for Performing Calculations for Australia and Other Places in the Southern Hemisphere PDF Online Free

Author : Thomas OXLEY (Civil Engineer)
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.0/5 (18 download)

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Book Synopsis The Gem of the Astral Sciences, Or Mathematics of Celestial Philosophy; with Improved Formulae; Also an Original Treatise for Performing Calculations for Australia and Other Places in the Southern Hemisphere by : Thomas OXLEY (Civil Engineer)

Download or read book The Gem of the Astral Sciences, Or Mathematics of Celestial Philosophy; with Improved Formulae; Also an Original Treatise for Performing Calculations for Australia and Other Places in the Southern Hemisphere written by Thomas OXLEY (Civil Engineer) and published by . This book was released on 1848 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Aspects of Classical and Celestial Mechanics

Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 3540489266
Total Pages : 505 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Mathematical Aspects of Classical and Celestial Mechanics by : Vladimir I. Arnold

Download or read book Mathematical Aspects of Classical and Celestial Mechanics written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2007-07-05 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.

The Geometry of Celestial Mechanics

Author : Hansjörg Geiges
Publisher : Cambridge University Press
ISBN 13 : 1316546241
Total Pages : pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis The Geometry of Celestial Mechanics by : Hansjörg Geiges

Download or read book The Geometry of Celestial Mechanics written by Hansjörg Geiges and published by Cambridge University Press. This book was released on 2016-03-24 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic geometry, notions of curvature, and the topology of geodesic flows. For advanced undergraduate and beginning graduate students, this book explores the geometric concepts underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the history of geometric ideas makes it perfect supplementary reading for students in elementary geometry and topology. Numerous exercises, historical notes and an extensive bibliography provide all the contextual information required to gain a solid grounding in celestial mechanics.

Ptolemy's Philosophy

Author : Jacqueline Feke
Publisher : Princeton University Press
ISBN 13 : 0691179581
Total Pages : 250 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Ptolemy's Philosophy by : Jacqueline Feke

Download or read book Ptolemy's Philosophy written by Jacqueline Feke and published by Princeton University Press. This book was released on 2018-10-16 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to history. This groundbreaking book is the first to reconstruct Ptolemy’s general philosophical system—including his metaphysics, epistemology, and ethics—and to explore its relationship to astronomy, harmonics, element theory, astrology, cosmology, psychology, and theology. In this stimulating intellectual history, Jacqueline Feke uncovers references to a complex and sophisticated philosophical agenda scattered among Ptolemy’s technical studies in the physical and mathematical sciences. She shows how he developed a philosophy that was radical and even subversive, appropriating ideas and turning them against the very philosophers from whom he drew influence. Feke reveals how Ptolemy’s unique system is at once a critique of prevailing philosophical trends and a conception of the world in which mathematics reigns supreme. A compelling work of scholarship, Ptolemy’s Philosophy demonstrates how Ptolemy situated mathematics at the very foundation of all philosophy—theoretical and practical—and advanced the mathematical way of life as the true path to human perfection.

Galileo's Muse

Author : Mark Austin Peterson
Publisher : Harvard University Press
ISBN 13 : 0674062973
Total Pages : 352 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Galileo's Muse by : Mark Austin Peterson

Download or read book Galileo's Muse written by Mark Austin Peterson and published by Harvard University Press. This book was released on 2011-10-17 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Peterson makes an extraordinary claim in this fascinating book focused around the life and thought of Galileo: it was the mathematics of Renaissance arts, not Renaissance sciences, that became modern science. Galileo's Muse argues that painters, poets, musicians, and architects brought about a scientific revolution that eluded the philosopher-scientists of the day, steeped as they were in a medieval cosmos and its underlying philosophy. According to Peterson, the recovery of classical science owes much to the Renaissance artists who first turned to Greek sources for inspiration and instruction. Chapters devoted to their insights into mathematics, ranging from perspective in painting to tuning in music, are interspersed with chapters about Galileo's own life and work. Himself an artist turned scientist and an avid student of Hellenistic culture, Galileo pulled together the many threads of his artistic and classical education in designing unprecedented experiments to unlock the secrets of nature. In the last chapter, Peterson draws our attention to the Oratio de Mathematicae laudibus of 1627, delivered by one of Galileo's students. This document, Peterson argues, was penned in part by Galileo himself, as an expression of his understanding of the universality of mathematics in art and nature. It is "entirely Galilean in so many details that even if it is derivative, it must represent his thought," Peterson writes. An intellectual adventure, Galileo’s Muse offers surprising ideas that will capture the imagination of anyone—scientist, mathematician, history buff, lover of literature, or artist—who cares about the humanistic roots of modern science.

Mathematical Thought From Ancient to Modern Times, Volume 1

Author : Morris Kline
Publisher : Oxford University Press
ISBN 13 : 0199770468
Total Pages : 434 pages
Book Rating : 4.1/5 (997 download)

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Book Synopsis Mathematical Thought From Ancient to Modern Times, Volume 1 by : Morris Kline

Download or read book Mathematical Thought From Ancient to Modern Times, Volume 1 written by Morris Kline and published by Oxford University Press. This book was released on 1990-03-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.

The Crossing of Heaven

Author : Karl Gustafson
Publisher : Springer Science & Business Media
ISBN 13 : 3642225578
Total Pages : 187 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis The Crossing of Heaven by : Karl Gustafson

Download or read book The Crossing of Heaven written by Karl Gustafson and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the group of physics honors students huddled in 1957 on a Colorado mountain watching Sputnik bisect the heavens, one young scientist was destined, three short years later, to become a key player in America’s own top-secret spy satellite program. One of our era’s most prolific mathematicians, Karl Gustafson was given just two weeks to write the first US spy satellite’s software. The project would fundamentally alter America’s Cold War strategy, and this autobiographical account of a remarkable academic life spent in the top flight tells this fascinating inside story for the first time. Gustafson takes you from his early pioneering work in computing, through fascinating encounters with Nobel laureates and Fields medalists, to his current observations on mathematics, science and life. He tells of brushes with death, being struck by lightning, and the beautiful women who have been a part of his journey.

Mathematics and the Historian's Craft

Author : Michael Kinyon
Publisher : Springer Science & Business Media
ISBN 13 : 0387282726
Total Pages : 358 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Mathematics and the Historian's Craft by : Michael Kinyon

Download or read book Mathematics and the Historian's Craft written by Michael Kinyon and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Kenneth May Lectures have never before been published in book form Important contributions to the history of mathematics by well-known historians of science Should appeal to a wide audience due to its subject area and accessibility

Hamiltonian Dynamics and Celestial Mechanics

Author : Donald Saari
Publisher : American Mathematical Soc.
ISBN 13 : 0821805665
Total Pages : 240 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Hamiltonian Dynamics and Celestial Mechanics by : Donald Saari

Download or read book Hamiltonian Dynamics and Celestial Mechanics written by Donald Saari and published by American Mathematical Soc.. This book was released on 1996 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected papers from the AMS-IMS-SIAM Joint Summer Research Conference on Hamiltonian Systems and Celestial Mechanics held in Seattle in June 1995. The symbiotic relationship of these two topics creates a natural combination for a conference on dynamics. The topics covered include twist maps, the Aubrey-Mather theory, Arnold diffusion, qualitative and topological studies of systems, and variational methods, as well as specific topics such as Melnikov's procedure and the singularity properties of particular systems. As one of the few books that addresses both Hamiltonian systems and celestial mechanics, this volume offers emphasis on new issues and unsolved problems. Many of the papers give new results, yet the editors purposely included some exploratory papers based on numerical computations, a section on unsolved problems, and papers that pose conjectures while developing what is known. It features open research problems, and papers on central configurations.

Connecting Humans to Equations

Author : Ole Ravn
Publisher : Springer
ISBN 13 : 3030013375
Total Pages : 188 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Connecting Humans to Equations by : Ole Ravn

Download or read book Connecting Humans to Equations written by Ole Ravn and published by Springer. This book was released on 2019-02-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics presents some of the most important positions in the philosophy of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of human and social life, meaning that a philosophy of mathematics must include several dimensions. This book describes these dimensions by the following four questions that structure the content of the book: Where is mathematics? How certain is mathematics? How social is mathematics? How good is mathematics? These four questions refer to the ontological, epistemological, social, and ethical dimension of a philosophy of mathematics. While the ontological and epistemological dimensions have been explored in all classic studies in the philosophy of mathematics, the exploration of the book is unique in its social and ethical dimensions. It argues that the foundation of mathematics is deeply connected to human and social actions and that mathematics includes not just descriptive but also performative features. This human-centered and accessible interpretation of mathematics is relevant for students in mathematics, mathematics education, and any technical discipline and for anybody working with mathematics.

Harmony and Symmetry. Celestial regularities shaping human culture.

Author : Gudrun Wolfschmidt
Publisher : tredition
ISBN 13 : 3347146344
Total Pages : 682 pages
Book Rating : 4.3/5 (471 download)

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Book Synopsis Harmony and Symmetry. Celestial regularities shaping human culture. by : Gudrun Wolfschmidt

Download or read book Harmony and Symmetry. Celestial regularities shaping human culture. written by Gudrun Wolfschmidt and published by tredition. This book was released on 2020-12-29 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the SEAC conference in Graz (2018) and for the Proceedings the motto "Harmony and symmetry - celestial regularities shaping human culture" was chosen. There were at least two strong reasons for this motto: First, the connection between astronomy and human culture has an extremely long tradition, and one of its absolute high points is the astronomer Johannes Kepler, who spent his entire life searching for the relationship between the movement of heavenly lights and ideas about harmonious structures and regular bodies. Kepler started his scientific career and authored his first book, the Mysterium cosmographicum, in Graz. Kepler argued in his first publication for the twelve-fold partition of the zodiac with arguments derived from the monochord, anticipating the procedure he developed in his Harmonices mundi. Five contributions deal with Kepler, including the harmony in musical theory. The second reason was the Eggenberg Castle. This palace, built for the nobleman Hans Ulrich von Eggenberg (1568-1634), is a remarkable piece of symmetry and harmony and an outstanding example of a strong connection between astronomy and culture. Seven contributions have the topic astronomy, astrology and architecture with the emphasis on astronomical orientation, symmetry and harmony in the Middle Ages and Renaissance. The Proceedings with ten chapters and 44 contributions range besides the mentioned "Middle Ages and beyond" and Johannes Kepler from Prehistoric Times, Bronze and Iron Age, Mythology and Ethnoastronomy, Babylonian Astronomy, Greek and Roman Astronomy, Meso- and South America, Middle East and Eastern Asia and Computational Astronomy. The celestial sphere, regarded as the sky of astronomy, as well as the heaven of divine numina, from Antiquity to Copernicus and Kepler was equated with symmetry, harmony, and beauty. Until today, this has been reflected in the structure of cultural creations, from architectural objects to musical forms.

Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Pleba?ski

Author : Hugo Garc¡a-Compe n
Publisher : World Scientific
ISBN 13 : 9812700471
Total Pages : 528 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Pleba?ski by : Hugo Garc¡a-Compe n

Download or read book Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Pleba?ski written by Hugo Garc¡a-Compe n and published by World Scientific. This book was released on 2006 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles - resembling monk's calligraphy - as well as a collection of oil paintings. As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the "heavenly" and "hyper-heavenly" equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al. A tribute to Plebaski's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.

Celestial Encounters

Author : Florin Diacu
Publisher : Princeton University Press
ISBN 13 : 0691221839
Total Pages : 255 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Celestial Encounters by : Florin Diacu

Download or read book Celestial Encounters written by Florin Diacu and published by Princeton University Press. This book was released on 2020-12-08 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincaré submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincaré found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincaré's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincaré. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it.

Mathematical Theories of Planetary Motions

Author : Otto Dziobek
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Theories of Planetary Motions by : Otto Dziobek

Download or read book Mathematical Theories of Planetary Motions written by Otto Dziobek and published by . This book was released on 1892 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Sheer Joy of Celestial Mechanics

Author : Nathaniel Grossman
Publisher : Springer Science & Business Media
ISBN 13 : 1461240905
Total Pages : 194 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Sheer Joy of Celestial Mechanics by : Nathaniel Grossman

Download or read book The Sheer Joy of Celestial Mechanics written by Nathaniel Grossman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dear Reader, Here is your book. Take it, run with it, pass it, punt it, enjoy all the many things that you can do with it, but-above all-read it. Like all textbooks, it was written to help you increase your knowledge; unlike all too many textbooks that you have bought, it will be fun to read. A preface usually tells of the author's reasons for writing the book and the author's goals for the reader, followed by a swarm of other important matters that must be attended to yet fit nowhere else in the book. I am fortunate in being able to include an insightful prepublication review that goes directly to my motivations and goals. (Look for it following this preface.) That leaves only those other important matters. In preparing the text, I consulted a number of books, chief of which included these: • S. Chandrasekhar, Ellipsoidal Figures of Equilibrium, Yale Uni versity Press, 1969. • J .M.A. Danby, Fundamentals of Celestial Mechanics, Macmil lan, 1962. Now available in a 2nd edition, 3rd printing, revised, corrected and enlarged, Willmann-Bell, 1992. • Y. Hagihara, Theories of Equilibrium Figures of a Rotating Ho mogeneous Fluid Mass, NASA, 1970. • R.A. Lyttleton, The Stability of Rotating Liquid Masses, C- ix x PREFACE bridge University Press, 1953. • C.B. Officer, Introduction to Theoretical Geophysics, Springer Verlag, 1974. • A.S. Ramsey, Newtonian Attraction, Cambridge University Press, 1949. • W.M. Smart, Celestial Mechanics, Longmans, Green, and Co, 1953.