Introduction to Chaos
[PDF]
The theories of chaos and nonlinear dynamics are applied to many fields such as sociology, economics, and biology.The one of the most active field is the brain science.
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Showing posts with label Physics. Show all posts
Showing posts with label Physics. Show all posts
Wednesday, April 29, 2009
Dynamical Systems
The dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each spring in a lake.
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Monday, April 27, 2009
Modern Relativity
This Unit focuses on special relativity only. Special relativity is a special case of a more general physics. We use only Cartesian coordinate systems. In special relativity we do not consider gravitation, and it is also not a quantum theory. Thus many of the implications of special relativity that are often quoted as if they were general laws do not hold true in more general physics scenarios. Once special relativity is understood, one may move on to a more general case of physics known as general relativity For those that are ready for this step we have created a section on general relativity
The notes will be published by Princeton University Press in 2010. The notes will remain freely available online after the book is published. One goal of this project is to reduce the cost of textbooks and to make the material as readily available as possible.
We suggest that you do not print a chapter until you actually need it, because we will update the chapters during the semester. Frequent updates of Chapters 5-9 will be posted until about June 1, 2009. Further down the pipeline are new chapters on Dynamics and Statistical Physics.
Please send us your comments and suggestions for improving the text.
Many of the problems in Chapters 1 and 3-9 make use of simulations.
The pdf files are hyperlinked, although not all the links work with all operating systems and software used to read the pdf files.
All the material at this site will eventually be moved to , an educational resource collection. Copies of previous versions of the chapters are available.
Table of Contents. Updated 9 March 2009.
Chapter 1, "From Classical Mechanics to Statistical Mechanics," pages 1-30. Updated 12 April 2009.
Chapter 2, "Thermodynamic Concepts and Processes," pages 31-103. Updated 14 April 2009.
Chapter 3, "Concepts of Probability," pages 104-169. Updated 13 April 2009.
Chapter 4, "The Methodology of Statistical Mechanics," pages 170-226. Updated 1 April 2009.
Chapter 5, "Magnetic Systems," pages 227-290. Updated 22 April 2009.
Chapter 6, "Noninteracting Particle Systems," pages 291-353. Updated 13 April 2009.
Chapter 7, "The Chemical Potential and Phase Equilibria," pages 354-384. Updated 13 April 2009.
The following chapters are more advanced.
Chapter 8, "Theories of Gases and Liquids," pages 385-431. Updated 22 April 2009.
Chapter 9, "Critical Phenomena and the Renormalization Group," pages 432-464. Updated 23 April 2009.
New chapters are planned on non-thermal statistical processes and time-dependent phenomena.
Appendix, pages 462-470. Updated 8 January 2009.
Problem Listing. Updated 24 February 2009.
Index. Updated 2 February 2009. The index is still incomplete.
Introduction to Many-Body Perturbation Theory, 10 pages. Updated 2 January 2006. It is unlikely that this chapter will be included in the published text.
We suggest that you do not print a chapter until you actually need it, because we will update the chapters during the semester. Frequent updates of Chapters 5-9 will be posted until about June 1, 2009. Further down the pipeline are new chapters on Dynamics and Statistical Physics.
Please send us your comments and suggestions for improving the text.
Many of the problems in Chapters 1 and 3-9 make use of simulations.
The pdf files are hyperlinked, although not all the links work with all operating systems and software used to read the pdf files.
All the material at this site will eventually be moved to , an educational resource collection. Copies of previous versions of the chapters are available.
Table of Contents. Updated 9 March 2009.
Chapter 1, "From Classical Mechanics to Statistical Mechanics," pages 1-30. Updated 12 April 2009.
Chapter 2, "Thermodynamic Concepts and Processes," pages 31-103. Updated 14 April 2009.
Chapter 3, "Concepts of Probability," pages 104-169. Updated 13 April 2009.
Chapter 4, "The Methodology of Statistical Mechanics," pages 170-226. Updated 1 April 2009.
Chapter 5, "Magnetic Systems," pages 227-290. Updated 22 April 2009.
Chapter 6, "Noninteracting Particle Systems," pages 291-353. Updated 13 April 2009.
Chapter 7, "The Chemical Potential and Phase Equilibria," pages 354-384. Updated 13 April 2009.
The following chapters are more advanced.
Chapter 8, "Theories of Gases and Liquids," pages 385-431. Updated 22 April 2009.
Chapter 9, "Critical Phenomena and the Renormalization Group," pages 432-464. Updated 23 April 2009.
New chapters are planned on non-thermal statistical processes and time-dependent phenomena.
Appendix, pages 462-470. Updated 8 January 2009.
Problem Listing. Updated 24 February 2009.
Index. Updated 2 February 2009. The index is still incomplete.
Introduction to Many-Body Perturbation Theory, 10 pages. Updated 2 January 2006. It is unlikely that this chapter will be included in the published text.
Thermodynamics and Statistical Mechanics An intermediate level course
A complete set of lecture notes for an upper-division thermodynamics and statistical mechanics course. Topics covered include elementary probability theory, classical thermodynamics, the thermodynamics of the atmosphere, heat engines, specific heat capacities of gases and solids, the Maxwell velocity distribution, paramagnetism, black-body radiation and the Stephan-Bolzmann law, conduction electrons in metals, and degeneracy pressure in white-dwarfs and neutron stars.Monday, April 13, 2009
Short description for structure of atom, emission of photon, electric and magnet
(PDF & Mobipocket format)By: Joseph George
Most of the present-day technologies are modified or well improved concepts of previous concepts or technologies and still in the process of advancements.This makes them more accurate, sophisticated and efficient as time passes.
Most of the present-day technologies are modified or well improved concepts of previous concepts or technologies and still in the process of advancements.This makes them more accurate, sophisticated and efficient as time passes.
Relativity: The Special and General Theory
(PDF & Mobipocket format)By: Albert Einstein
This book, a collection of Einstein's own popular writings on his work, describes the meaning of his main theories in a way virtually everyone can understand.This book, however, contains the great physicist's own explanation of both the special and the general theories.
This book, a collection of Einstein's own popular writings on his work, describes the meaning of his main theories in a way virtually everyone can understand.This book, however, contains the great physicist's own explanation of both the special and the general theories.
Tuesday, April 7, 2009
Philosophical Interlude: Philosophy and the Scientific Method
The gods did not reveal, from the beginning, all things to us; but in the course of time, through seeking, men find that which is better. But as for certain truth, no man has known it, nor will he know it; neither of the gods, nor yet of all things of which I speak. And even if by chance he were to utter the final Truth, he would himself not know it; for all is but a woven web of guesses. Xenophanes, 6th century B.C
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