Mathematical Physics 2000

Mathematical Physics 2000

Author: A. S. Fokas

Publisher: World Scientific Publishing Company

Published: 2000-01-01

Total Pages: 326

ISBN-13: 9781860942303

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Mathematical physics has made enormous strides over the past few decades, with the emergence of many new disciplines and with revolutionary advances in old disciplines. One of the especially interesting features is the link between developments in mathematical physics and in pure mathematics. Many of the exciting advances in mathematics owe their origin to mathematical physics -- superstring theory, for example, has led to remarkable progress in geometry -- while very pure mathematics, such as number theory, has found unexpected applications. The beginning of a new millennium is an appropriate time to survey the present state of the field and look forward to likely advances in the future. In this book, leading experts give personal views on their subjects and on the wider field of mathematical physics. The topics covered range widely over the whole field, from quantum field theory to turbulence, from the classical three-body problem to non-equilibrium statistical mechanics.


Announcer

Announcer

Author: American Association of Physics Teachers

Publisher:

Published: 2003

Total Pages: 544

ISBN-13:

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Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

Author: Alexey V. Shchepetilov

Publisher: Springer

Published: 2006-09-04

Total Pages: 267

ISBN-13: 3540353860

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This is an introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, empahsizing spaces with constant curvature. Chapters 1-4 provide basic notations for studying two-body dynamics. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 investigates the classical counterpart of the quantum system introduced in Chapter 5. Chapter 8 discusses applications in the quantum realm.


Mechanics, waves & particles

Mechanics, waves & particles

Author: Elisha R. Huggins

Publisher:

Published: 1999

Total Pages: 582

ISBN-13: 9780970783615

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Physics2000 Part 1 is the first half of an introductory Physics Textbook. The aim of the text is to include modern physics in a comfortably paced introductory text. We do this by starting with special relativity in the first week, an then following a fairly standard approach to Newtonian mechanics and electricity and magnetism for the first 2/3 of the text. After discussing light waves, we go directly to light particles (photons) and finish the text with a discussion of the particle-wave nature of matter and Quantum Mechanics.


Learning and Understanding

Learning and Understanding

Author: National Research Council

Publisher: National Academies Press

Published: 2002-08-06

Total Pages: 588

ISBN-13: 030917080X

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This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education. By looking at what could enhance the quality of high school advanced study programs as well as what precedes and comes after these programs, this report provides teachers, parents, curriculum developers, administrators, college science and mathematics faculty, and the educational research community with a detailed assessment that can be used to guide change within advanced study programs.


The Mathematica GuideBook for Symbolics

The Mathematica GuideBook for Symbolics

Author: Michael Trott

Publisher: Springer Science & Business Media

Published: 2007-04-03

Total Pages: 1490

ISBN-13: 0387288155

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Provides reader with working knowledge of Mathematica and key aspects of Mathematica symbolic capabilities, the real heart of Mathematica and the ingredient of the Mathematica software system that makes it so unique and powerful Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www/MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations


Feynman Integral Calculus

Feynman Integral Calculus

Author: Vladimir A. Smirnov

Publisher: Springer Science & Business Media

Published: 2006-11-15

Total Pages: 288

ISBN-13: 3540306110

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The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. The book characterizes the most powerful methods and illustrates them with numerous examples starting from very simple ones and progressing to nontrivial examples. The book demonstrates how to choose adequate methods and combine evaluation methods in a non-trivial way. The most powerful methods are characterized and then illustrated through numerous examples. This is an updated textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author.


Fifty Years of Mathematical Physics

Fifty Years of Mathematical Physics

Author: Molin Ge

Publisher: World Scientific Publishing Company

Published: 2016-02-16

Total Pages: 596

ISBN-13: 9814340960

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This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.