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' "Professor Hao Bailin is one of China''s most talented and most versatile theoretical physicists. He has made important contributions to a wide variety of research fields, including biology in which he pioneered a multidimensional method for studying the evolutionary pathways of bacteria. Indeed he calls himself, appreciatively I believe, a guerrilla fighter." Nobel Laureate, Chen-Ning Yang Contents: C N Yang on Hao Bailin, 2015 (Chen-Ning Yang)Skeleton Graph Expansion of Critical Exponents in "Cultural Revolution" Years (Hao Bailin)The Virial Expansion Re-visited: A New Interpretation (Fa-Yueh Wu and Ron Aaron)Chaos in the Belousov–Zhabotinsky Reaction (Richard J Field)Discrete Resonances (Franco Vivaldi)Exact Solution of the Planar Motion of Three Arbitrary Point Vortices (Robert Conte and Laurent de Seze)A Cognitive Network for Oracle-Bone Characters Related to Animals (Andreas Dress, Stefan Grünewald and Zhenbing Zeng)Periodic Oscillations of the Forced Brusselator (Jason A C Gallas)Genomes: At the Edge of Chaos with Maximum Information Capacity (Sing-Guan Kong, Hong-Da Chen, Andrew Torda, and H C Lee)Low Temperature Glassy Systems: Present Understanding, Open Problems and Future Developments (Giorgio Parisi)CVTrees Support the Bergey''s Systematics and Provide High Resolution at Species Levels and Below (Bailin Hao)My Days as a Student of Prof. Hao (1982–1986) (Mingzhou Ding)Teacher and Friend (Yong-Shi Wu) Readership: This book is suitable for students of physics and mathematics and all members of the general public interested in science. Keywords:Hao Bailin;Virial Expansion;Chaos;Complex Systems;Glassy Systems'

Author : J. Michael Finn
ISBN : 9780763779603
Genre : Science
File Size : 87.80 MB
Format : PDF, Docs
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Classical Mechanics presents an updated treatment of the dynamics of particles and particle systems suitable for students preparing for advanced study of physics and closely related fields, such as astronomy and the applied engineering sciences. Compared to older books on this subject, the mathematical treatment has been updated for the study of more advanced topics in quantum mechanics, statistical mechanics, and nonlinear and orbital mechanics. The text begins with a review of the principles of classical Newtonian dynamics of particles and particle systems and proceeds to show how these principles are modified and extended by developments in the field. The text ends with the unification of space and time given by the Special Theory of Relativity. In addition, Hamiltonian dynamics and the concept of phase space are introduced early on. This allows integration of the concepts of chaos and other nonlinear effects into the main flow of the text. The role of symmetries and the underlying geometric structure of space-time is a key theme. In the latter chapters, the connection between classical and quantum mechanics is examined in some detail.

Author : Joseph Kouneiher
ISBN : 9783319648132
Genre : Science
File Size : 56.79 MB
Format : PDF, ePub
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This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future developments of the field, highlighting a list of open problems. Graduate students and researchers working in physics, mathematics and mathematical physics will find this journey extremely fascinating. All those who want to benefit from a comprehensive description of all the latest advances in mathematics and mathematical physics, will find this book very useful too.

The basics of computer algebra and the language of Mathematica are described in this textbook, leading towards an understanding of Mathematica that allows the reader to solve problems in physics, mathematics, and chemistry. Mathematica is the most widely used system for doing mathematical calculations by computer, including symbolic and numeric calculations and graphics. It is used in physics and other branches of science, in mathematics, education and many other areas.

Author : Thomas Bazyli Bahder
ISBN : UOM:39015034024342
Genre : Mathematics
File Size : 55.19 MB
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This practical guide to Mathematica focuses on the specific needs of scientists and engineers. Problems in these fields often are non-trivial, and can push Mathematica (and any computer system) to its limits. Here the author, providing carefully chosen examples, shows how these problems can be solved.

"This course, intended for upper-division undergraduate or graduate students, was designed by W. Kinzel and G. Reents as a textbook in computational physics but may also serve as a supplement to courses in theoretical physics." "It is an introduction to the solution of physical models by computer. The programs developed in this book are based on the modern computer languages Mathematica and C and are written for PCs as well as for workstations. 28 examples from different fields of physics are worked out, including chaos, fractals, the Hofstadter butterfly, phase transitions, Monte-Carlo simulations, percolation, polymers, combinatorial optimization, neural networks, and game theory." "Detailed explanation of the algorithms and computer programs together with source files and graphics routines help the student gain thorough experience right from the start."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

Author : Donald Bindner
ISBN : 9781439846070
Genre : Mathematics
File Size : 82.98 MB
Format : PDF, Docs
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A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and MapleTM to MATLAB® and R. Along with a color insert, the text includes exercises and challenges to stimulate creativity and improve problem solving abilities. The first section of the book covers issues pertaining to studying mathematics. The authors explain how to write mathematical proofs and papers, how to perform mathematical research, and how to give mathematical presentations. The second section focuses on the use of mathematical tools for mathematical typesetting, generating data, finding patterns, and much more. The text describes how to compose a LaTeX file, give a presentation using Beamer, create mathematical diagrams, use computer algebra systems, and display ideas on a web page. The authors cover both popular commercial software programs and free and open source software, such as Linux and R. Showing how to use technology to understand mathematics, this guide supports students on their way to becoming professional mathematicians. For beginning mathematics students, it helps them study for tests and write papers. As time progresses, the book aids them in performing advanced activities, such as computer programming, typesetting, and research.

Modern Thermodynamics: From Heat Engines to Dissipative Structures, Second Edition presents a comprehensive introduction to 20th century thermodynamics that can be applied to both equilibrium and non-equilibrium systems, unifying what was traditionally divided into ‘thermodynamics’ and ‘kinetics’ into one theory of irreversible processes. This comprehensive text, suitable for introductory as well as advanced courses on thermodynamics, has been widely used by chemists, physicists, engineers and geologists. Fully revised and expanded, this new edition includes the following updates and features: Includes a completely new chapter on Principles of Statistical Thermodynamics. Presents new material on solar and wind energy flows and energy flows of interest to engineering. Covers new material on self-organization in non-equilibrium systems and the thermodynamics of small systems. Highlights a wide range of applications relevant to students across physical sciences and engineering courses. Introduces students to computational methods using updated Mathematica codes. Includes problem sets to help the reader understand and apply the principles introduced throughout the text. Solutions to exercises and supplementary lecture material provided online at http://sites.google.com/site/modernthermodynamics/. Modern Thermodynamics: From Heat Engines to Dissipative Structures, Second Edition is an essential resource for undergraduate and graduate students taking a course in thermodynamics.