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Author : Julian B. Barbour
Publisher : Oxford University Press, USA
Page : 775 pages
File Size : 49,6 Mb
Release : 2001
Category : Astronomy
ISBN : 9780195132021
"Originally published as Absolute or relative motion? volume 1, The discovery of dynamics, Cambridge University Press, 1989".
Author : Julian B. Barbour
Publisher : Oxford University Press
Page : 778 pages
File Size : 53,8 Mb
Release : 2001-09-06
Category : Science
ISBN : 019535110X
Ever since Newton created dynamics, there has been controversy about its foundations. Are space and time absolute? Do they form a rigid but invisible framework and container of the universe? Or are space, time, and motion relative? If so, does Newton's 'framework' arise through the influence of the universe at large, as Ernst Mach suggested? Einstein's aim when creating his general theory of relativity was to demonstrate this and thereby implement 'Mach's Principle'. However, it is widely believed that he achieved only partial success. This question of whether motion is absolute or relative has been a central issues in philosophy; the nature of time has perennial interest. Current attempts to create a quantum description of the whole universe keep these issues at the cutting edge of modern research. Written by the world's leading expert on Mach's Principle, The Discovery of Dynamics is a highly original account of the development of notions about space, time, and motion. Widely praised in its hardback version, it is one of the fullest and most readable accounts of the astronomical studies that culminated in Kepler's laws of planetary motion and of the creation of dynamics by Galileo, Descartes, Huygens, and Newton. Originally published as Absolute or Relative Motion?, Vol. 1: The Discovery of Dynamics (Cambridge), The Discovery of Dynamics provides the technical background to Barbour's recently published The End of Time, in which he argues that time disappears from the description of the quantum universe.
Author : Constantin Udriște
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 42,5 Mb
Release : 2000
Category : Mathematics
ISBN : 0792364015
The theme of this text is the philosophy that any particle flow generates a particle dynamics, in a suitable geometrical framework. It covers topics that include: geometrical and physical vector fields; field lines; flows; stability of equilibrium points; potential systems and catastrophe geometry; field hypersurfaces; bifurcations; distribution orthogonal to a vector field; extrema with nonholonomic constraints; thermodynamic systems; energies; geometric dynamics induced by a vector field; magnetic fields around piecewise rectilinear electric circuits; geometric magnetic dynamics; and granular materials and their mechanical behaviour. The text should be useful for first-year graduate students in mathematics, mechanics, physics, engineering, biology, chemistry, and economics. It can also be addressed to professors and researchers whose work involves mathematics, mechanics, physics, engineering, biology, chemistry, and economics.
Author : J. Bruce Brackenridge
Publisher : Univ of California Press
Page : 315 pages
File Size : 54,7 Mb
Release : 1995
Category : Science
ISBN : 9780520202177
"The Key to Newton's Dynamics is lucid, important, and fills a large gap in the existing literature. Brackenridge is undoubtedly that gifted, patient teacher that one expects from a quality liberal arts college."—Alan E. Shapiro, University of Minnesota
Author : Julian B. Barbour
Publisher : CUP Archive
Page : 784 pages
File Size : 51,9 Mb
Release : 1988
Category : Electronic
ISBN : 052132467X
Author : Adrian E. Gill
Publisher : Elsevier
Page : 682 pages
File Size : 55,6 Mb
Release : 2016-06-03
Category : Science
ISBN : 9781483281582
Atmosphere-Ocean Dynamics deals with a systematic and unified approach to the dynamics of the ocean and atmosphere. The book reviews the relationship of the ocean-atmosphere and how this system functions. The text explains this system through radiative equilibrium models; the book also considers the greenhouse effect, the effects of convection and of horizontal gradients, and the variability in radiative driving of the earth. Equations in the book show the properties of a material element, mass conservation, the balance of scalar quantity (such as salinity), and the mathematical behavior of the ocean and atmosphere. The book also addresses how the ocean-atmosphere system tends to adjust to equilibrium, both in the absence and presence of driving forces such as gravity. The text also explains the effect of the earth's rotation on the system, as well as the application of forced motions such as that produced by wind or temperature changes. The book explains tropical dynamics and the effects of variation of the Coriolis parameter with latitude. The text will be appreciated by meteorologists, environmentalists, students studying hydrology, and people working in general earth sciences.
Author : David Ruelle
Publisher : Elsevier
Page : 196 pages
File Size : 45,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483272184
Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.
Author : Aimee Johnson,Kathleen Madden,Ayse Sahin
Publisher : American Mathematical Soc.
Page : 116 pages
File Size : 41,6 Mb
Release : 2017-12-31
Category : Mathematics
ISBN : 9781614441243
Discovering Discrete Dynamical Systems is a mathematics textbook designed for use in a student-led, inquiry-based course for advanced mathematics majors. Fourteen modules each with an opening exploration, a short exposition and related exercises, and a concluding project guide students to self-discovery on topics such as fixed points and their classifications, chaos and fractals, Julia and Mandelbrot sets in the complex plane, and symbolic dynamics. Topics have been carefully chosen as a means for developing student persistence and skill in exploration, conjecture, and generalization while at the same time providing a coherent introduction to the fundamentals of discrete dynamical systems. This book is written for undergraduate students with the prerequisites for a first analysis course, and it can easily be used by any faculty member in a mathematics department, regardless of area of expertise. Each module starts with an exploration in which the students are asked an open-ended question. This allows the students to make discoveries which lead them to formulate the questions that will be addressed in the exposition and exercises of the module. The exposition is brief and has been written with the intent that a student who has taken, or is ready to take, a course in analysis can read the material independently. The exposition concludes with exercises which have been designed to both illustrate and explore in more depth the ideas covered in the exposition. Each module concludes with a project in which students bring the ideas from the module to bear on a more challenging or in-depth problem. A section entitled "To the Instructor" includes suggestions on how to structure a course in order to realize the inquiry-based intent of the book. The book has also been used successfully as the basis for an independent study course and as a supplementary text for an analysis course with traditional content.
Author : Ky? Kageura
Publisher : John Benjamins Publishing
Page : 331 pages
File Size : 47,6 Mb
Release : 2002-01-01
Category : Language Arts & Disciplines
ISBN : 9789027223289
The discovery of rules for the systematicity and dynamics of terminology creations is essential for a sound basis of a theory of terminology. This quest provides the driving force for The Dynamics of Terminology in which Dr. Kageura demonstrates the interaction of these two factors on a specific corpus of Japanese terminology which, beyond the necessary linguistic circumstances, also has a model character for similar studies. His detailed examination of the relationships between terms and their constituent elements, the relationships among the constituent elements and the type of conceptual combinations used in the construction of the terminology permits deep insights into the systematic thought processes underlying term creation. To compensate for the inherent limitation of a purely descriptive analysis of conceptual patterns, Dr. Kageura offers a quantitative analysis of the patterns of the growth of terminology. His fascinating and unique contribution to our understanding of the terminological process reveals the powerful interaction of linguistic possibilities and the naming process of conceptual entities.
Author : A.T. Skjeltorp,Sam F. Edwards
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401141895
This volume comprises the proceedings of a NATO Advanced Study In stitute held at Geilo, Norway, April 6 -16 1999. The ASI was the fifteenth in a series held biannually on topics related to cooperative phenomena and phase transitions, in this case applied to soft condensed matter and its configurations, dynamics and functionality. It addressed the current experimental and theoretical knowledge of the physical properties of soft condensed matter such as polymers, gels, complex fluids, colloids, granular materials and biomaterials. The main purpose of the lectures was to obtain basic understanding of important aspects in relating molecular configurations and dynamics to macroscopic properties and biological functionality. To our knowledge, the term Soft Condensed Matter was actually coined and used for the first time in 1989 at Geilo and some selected topics of soft matter were also given at Geilo in 1991, 1993 and 1995. A return to this subject 10 years after its instigation thus allowed a fresh look and a possibility for defining new directions for research.
Author : J Hogan,A.R Krauskopf,Mario di Bernado,R. Eddie Wilson,Hinke. M Osinga,Martin. E Homer,Alan. R Champneys
Publisher : CRC Press
Page : 376 pages
File Size : 48,8 Mb
Release : 2002-08-01
Category : Science
ISBN : 9781420033830
Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such systems? Written by international experts, Nonlinear Dynamics and Chaos: Where Do We Go from Here? assesses what the future holds for dynamics and chaos. The chapters address one or more of the broad and interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences. The contributors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.
Author : Mark D. Ardema
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 52,6 Mb
Release : 2006-10-31
Category : Technology & Engineering
ISBN : 9780306486821
This book takes a traditional approach to the development of the methods of analytical dynamics, using two types of examples throughout: simple illustrations of key results and thorough applications to complex, real-life problems.
Author : Guang Hu,Pemra Doruker,Hongchun Li,Ebru Demet Akten
Publisher : Frontiers Media SA
Page : 276 pages
File Size : 43,8 Mb
Release : 2021-06-08
Category : Science
ISBN : 9782889668489
Author : A. K. Sharma
Publisher : Discovery Publishing House
Page : 332 pages
File Size : 55,8 Mb
Release : 2007
Category : Agriculture
ISBN : 8183562345
The relationship between the growth in world population and the grain harvest has shifted over the last half-century, neatly dividing this period into two distinct eras. From 1950 to 1984, growth and the grain harvest easily exceeded that of population, raising the harvest per person from 247 kilograms to 342, a gain of 38 per cent. During the 14 years since then, growth in the grain harvest has fallen behind that of population, dropping output per person from its historic high in 1984 to an estimated. 317 kilograms in 1998-a decline of 7 per cent, or 0.5 per cent a year.
Author : S.V.M. Clube,Shin Yabushita,Jacques Henrard
Publisher : Springer Science & Business Media
Page : 287 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401127431
Minor bodies in the Solar System, though representing only a small fraction of the mass in the Solar System, may well play a fundamental role in terrestrial evolution. This book contains investigations of the dynamics and physics of comets, asteroids and meteor streams, and the rather controversial topic of periodic phenomena in the Solar System as signified by geological records, together with several associated developments in celestial dynamics. All these problems are interwoven. This book makes a contribution towards unravelling the nature of the interactions between the Earth and its celestial environment.