Integral, Measure and Derivative

Integral, Measure and Derivative

Author: G. E. Shilov

Publisher: Courier Corporation

Published: 2013-05-13

Total Pages: 258

ISBN-13: 0486165612

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This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.


Statistical Physics of Fields

Statistical Physics of Fields

Author: Mehran Kardar

Publisher: Cambridge University Press

Published: 2007-06-07

Total Pages: 376

ISBN-13: 1139855883

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While many scientists are familiar with fractals, fewer are familiar with scale-invariance and universality which underlie the ubiquity of their shapes. These properties may emerge from the collective behaviour of simple fundamental constituents, and are studied using statistical field theories. Initial chapters connect the particulate perspective developed in the companion volume, to the coarse grained statistical fields studied here. Based on lectures taught by Professor Kardar at MIT, this textbook demonstrates how such theories are formulated and studied. Perturbation theory, exact solutions, renormalization groups, and other tools are employed to demonstrate the emergence of scale invariance and universality, and the non-equilibrium dynamics of interfaces and directed paths in random media are discussed. Ideal for advanced graduate courses in statistical physics, it contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set available to lecturers at www.cambridge.org/9780521873413.


Active Learning Guide

Active Learning Guide

Author: Alan Van Heuvelen

Publisher: Pearson

Published: 2005-12-15

Total Pages: 0

ISBN-13: 9780805390780

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A series of discovery-based activities focused on building confidence with physics concepts and problem solving by helping to connect new ideas with existing knowledge. The student learns to evaluate, draw, diagram, and graph physics concepts.


Black Holes

Black Holes

Author: Kip S. Thorne

Publisher: Yale University Press

Published: 1986-01-01

Total Pages: 392

ISBN-13: 9780300037708

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A pedagogical introduction to the physics of black holes. The membrane paradigm represents the four-dimensional spacetime of the black hole's "event horizon" as a two-dimensional membrane in three-dimensional space, allowing the reader to understand and compute the behavior of black holes in complex astrophysical environments.


College Physics

College Physics

Author: Eugenia Etkina

Publisher:

Published: 2018-01-12

Total Pages: 1056

ISBN-13: 9780134601823

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"College textbook for intro to physics courses"--


Statistical Mechanics in a Nutshell, Second Edition

Statistical Mechanics in a Nutshell, Second Edition

Author: Luca Peliti

Publisher: Princeton University Press

Published: 2024-08-06

Total Pages: 577

ISBN-13: 0691248451

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The essential introduction to modern statistical mechanics—now completely updated and expanded Statistical mechanics is one of the most exciting areas of physics today and has applications to subjects ranging from economics and social behavior to algorithmic theory and evolutionary biology. Statistical Mechanics in a Nutshell provides a self-contained introduction to this rapidly developing field. Starting with the basics of kinetic theory and requiring only a background in elementary calculus and mechanics, this concise book discusses the most important developments of recent decades and guides readers to the very threshold of today’s cutting-edge research. Features a new chapter on stochastic thermodynamics with an introduction to the thermodynamics of information—the first treatment of its kind in an introductory textbook Offers a more detailed account of numerical simulations, including simulated annealing and other accelerated Monte Carlo methods The chapter on complex systems now features an accessible introduction to the replica theory of spin glasses and the Hopfield theory of neural networks, with an emphasis on applications Provides a new discussion of defect-mediated transitions and their implications for two-dimensional melting An invaluable resource for graduate students and advanced undergraduates seeking a compact primer on the core ideas of statistical mechanics Solutions manual (available only to instructors)