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The Sheer Joy of Celestial Mechanics

The Sheer Joy of Celestial Mechanics Author Nathaniel Grossman
ISBN-10 9781461240907
Release 2012-12-06
Pages 182
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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.



Magnificent Principia

Magnificent Principia Author Colin Pask
ISBN-10 9781616147464
Release 2013-09-03
Pages 528
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Nobel laureate Steven Weinberg has written that "all that has happened since 1687 is a gloss on the Principia." Now you too can appreciate the significance of this stellar work, regarded by many as the greatest scientific contribution of all time. Despite its dazzling reputation, Isaac Newton's Philosophiae Naturalis Principia Mathematica, or simply the Principia, remains a mystery for many people. Few of even the most intellectually curious readers, including professional scientists and mathematicians, have actually looked in the Principia or appreciate its contents. Mathematician Pask seeks to remedy this deficit in this accessible guided tour through Newton's masterpiece. Using the final edition of the Principia, Pask clearly demonstrates how it sets out Newton's (and now our) approach to science; how the framework of classical mechanics is established; how terrestrial phenomena like the tides and projectile motion are explained; and how we can understand the dynamics of the solar system and the paths of comets. He also includes scene-setting chapters about Newton himself and scientific developments in his time, as well as chapters about the reception and influence of the Principia up to the present day. From the Hardcover edition.



Numerical Analysis for Statisticians

Numerical Analysis for Statisticians Author Kenneth Lange
ISBN-10 9780387227245
Release 2006-04-06
Pages 356
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Numerical analysis is the study of computation and its accuracy, stability and often its implementation on a computer. This book focuses on the principles of numerical analysis and is intended to equip those readers who use statistics to craft their own software and to understand the advantages and disadvantages of different numerical methods.



The Best Books for Academic Libraries Science technology and agriculture

The Best Books for Academic Libraries  Science  technology  and agriculture Author
ISBN-10 0722200110
Release 2002-01-01
Pages 696
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Books recommended for undergraduate and college libraries listed by Library of Congress Classification Numbers.



An Introduction to the Mathematics and Methods of Astrodynamics

An Introduction to the Mathematics and Methods of Astrodynamics Author Richard H. Battin
ISBN-10 1600860265
Release 1999
Pages 796
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An Introduction to the Mathematics and Methods of Astrodynamics has been writing in one form or another for most of life. You can find so many inspiration from An Introduction to the Mathematics and Methods of Astrodynamics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full An Introduction to the Mathematics and Methods of Astrodynamics book for free.



Nonlinear Problems of Elasticity

Nonlinear Problems of Elasticity Author S.S Antman
ISBN-10 9781475741476
Release 2013-03-14
Pages 752
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The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton's Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of the Age of Reason. ) At first, those who solved these problems did not distinguish between linear and nonlinear equations, and so were not intimidated by the latter. By the middle of the nineteenth century, Cauchy had constructed the basic framework of three-dimensional continuum mechanics on the founda tions built by his eighteenth-century predecessors.



Boundary Integral Equations

Boundary Integral Equations Author George Hsiao
ISBN-10 3540685456
Release 2008-05-07
Pages 620
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This book is devoted to the mathematical foundation of boundary integral equations. The combination of ?nite element analysis on the boundary with these equations has led to very e?cient computational tools, the boundary element methods (see e.g., the authors [139] and Schanz and Steinbach (eds.) [267]). Although we do not deal with the boundary element discretizations in this book, the material presented here gives the mathematical foundation of these methods. In order to avoid over generalization we have con?ned ourselves to the treatment of elliptic boundary value problems. The central idea of eliminating the ?eld equations in the domain and - ducing boundary value problems to equivalent equations only on the bou- ary requires the knowledge of corresponding fundamental solutions, and this idea has a long history dating back to the work of Green [107] and Gauss [95, 96]. Today the resulting boundary integral equations still serve as a major tool for the analysis and construction of solutions to boundary value problems.



Combinatorial Theory

Combinatorial Theory Author Martin Aigner
ISBN-10 9783642591013
Release 2012-12-06
Pages 483
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This book offers a well-organized, easy-to-follow introduction to combinatorial theory, with examples, notes and exercises. ". . . a very good introduction to combinatorics. This book can warmly be recommended first of all to students interested in combinatorics." Publicationes Mathematicae Debrecen



Numerical Range

Numerical Range Author Karl E. Gustafson
ISBN-10 9781461384984
Release 2012-12-06
Pages 190
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The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the opportunity to encounter such concepts and applications in their first course in linear algebra. This subject and its extensions to infinite dimen sions comprise the theory of the numerical range W(T). There are two competing names for W(T), namely, the numerical range of T and the field of values for T. The former has been favored historically by the func tional analysis community, the latter by the matrix analysis community. It is a toss-up to decide which is preferable, and we have finally chosen the former because it is our habit, it is a more efficient expression, and because in recent conferences dedicated to W(T), even the linear algebra commu nity has adopted it. Also, one universally refers to the numerical radius, and not to the field of values radius. Originally, Toeplitz and Hausdorff called it the Wertvorrat of a bilinear form, so other good names would be value field or form values. The Russian community has referred to it as the Hausdorff domain. Murnaghan in his early paper first called it the region of the complex plane covered by those values for an n x n matrix T, then the range of values of a Hermitian matrix, then the field of values when he analyzed what he called the sought-for region.



Nonlinear Dynamical Systems and Chaos

Nonlinear Dynamical Systems and Chaos Author Henk W Broer
ISBN-10 9783034875189
Release 2013-11-11
Pages 463
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Symmetries in dynamical systems, "KAM theory and other perturbation theories", "Infinite dimensional systems", "Time series analysis" and "Numerical continuation and bifurcation analysis" were the main topics of the December 1995 Dynamical Systems Conference held in Groningen in honour of Johann Bernoulli. They now form the core of this work which seeks to present the state of the art in various branches of the theory of dynamical systems. A number of articles have a survey character whereas others deal with recent results in current research. It contains interesting material for all members of the dynamical systems community, ranging from geometric and analytic aspects from a mathematical point of view to applications in various sciences.



Theory and Applications of Partial Functional Differential Equations

Theory and Applications of Partial Functional Differential Equations Author Jianhong Wu
ISBN-10 9781461240501
Release 2012-12-06
Pages 432
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Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.



The Theory of Celestial Influence

The Theory of Celestial Influence Author Rodney Collin
ISBN-10 9781543909609
Release 2017-08-26
Pages 503
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“... As above, so below...” Hermes Trismegistus, The Emerald Tablet Rodney Collin explores in this text, man’s ‘relation to the universe’ as experienced by a ‘different kind of mind, in a different state of consciousness.’ Influenced by P.D. Ouspensky and G.I. Gurdjieff, promulgators of the esoteric doctrine the Fourth Way, Collin examines how modern scientific discoveries in diverse fields such as physics, human physiology, chemistry and astronomy can be united and reconciled with traditional esoteric teachings. The way we see ourselves and our place in the universe can only be realized ‘by a mind which had itself become unified;’ harmonizing the conflict between our rational and imaginative minds.



Observations and Predictions of Eclipse Times by Early Astronomers

Observations and Predictions of Eclipse Times by Early Astronomers Author J.M. Steele
ISBN-10 9789401595285
Release 2013-04-17
Pages 324
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Eclipses have long been seen as important celestial phenomena, whether as omens affecting the future of kingdoms, or as useful astronomical events to help in deriving essential parameters for theories of the motion of the moon and sun. This is the first book to collect together all presently known records of timed eclipse observations and predictions from antiquity to the time of the invention of the telescope. In addition to cataloguing and assessing the accuracy of the various records, which come from regions as diverse as Ancient Mesopotamia, China, and Europe, the sources in which they are found are described in detail. Related questions such as what type of clocks were used to time the observations, how the eclipse predictions were made, and how these prediction schemes were derived from the available observations are also considered. The results of this investigation have important consequences for how we understand the relationship between observation and theory in early science and the role of astronomy in early cultures, and will be of interest to historians of science, astronomers, and ancient and medieval historians.



The Backyard Astronomer s Guide

The Backyard Astronomer s Guide Author Terence Dickinson
ISBN-10 1554073448
Release 2008
Pages 368
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Discusses the practical aspects of stargazing, including how to choose appropriate equipment, contending with light pollution, taking successful photographs of galaxies and nebulas, and selecting an observing site.



Trubner s American and Oriental Literary Record

Trubner s American and Oriental Literary Record Author
ISBN-10 UCAL:$C105516
Release 1880
Pages
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Trubner s American and Oriental Literary Record has been writing in one form or another for most of life. You can find so many inspiration from Trubner s American and Oriental Literary Record also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Trubner s American and Oriental Literary Record book for free.



Tr bner s American European Oriental Literary Record

Tr  bner s American  European    Oriental Literary Record Author
ISBN-10 HARVARD:32044105327969
Release 1882
Pages
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Tr bner s American European Oriental Literary Record has been writing in one form or another for most of life. You can find so many inspiration from Tr bner s American European Oriental Literary Record also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Tr bner s American European Oriental Literary Record book for free.



Tr bner s American and oriental literary record

Tr  bner s American and oriental literary record Author
ISBN-10 OXFORD:555066443
Release 1879
Pages
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Tr bner s American and oriental literary record has been writing in one form or another for most of life. You can find so many inspiration from Tr bner s American and oriental literary record also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Tr bner s American and oriental literary record book for free.