gauge theory and variational principles dover books on mathematics

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Gauge Theory And Variational Principles

Author : David Bleecker
ISBN : 9780486151878
Genre : Science
File Size : 35. 69 MB
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Covers principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac electron fields; calculus on frame bundle; and unification of gauge fields and gravitation. 1981 edition

Classical Mechanics

Author : J. Michael Finn
ISBN : 9780763779603
Genre : Science
File Size : 53. 33 MB
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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.

Eichfeldtheorie

Author : Helga Baum
ISBN : 9783642385391
Genre : Mathematics
File Size : 80. 9 MB
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Dieses Lehrbuch bietet eine Einführung in die Differentialgeometrie auf Faserbündeln. Nach einem Kapitel über Lie-Gruppen und homogene Räume werden lokal-triviale Faserungen, insbesondere die Hauptfaserbündel und zu ihnen assoziierte Vektorbündel, besprochen. Es folgen die grundlegenden Begriffe der Differentialrechnung auf Faserbündeln: Zusammenhang, Krümmung, Parallelverschiebung und kovariante Ableitung. Anschließend werden die Holonomiegruppen vorgestellt, die zentrale Bedeutung in der Differentialgeometrie haben. Als Anwendungen werden charakteristische Klassen und die Yang-Mills-Gleichung behandelt. Zahlreiche Aufgaben mit Lösungshinweisen helfen, das Gelernte zu vertiefen. Das Buch richtet sich vor allem an Studenten der Mathematik und Physik im Masterstudium. Es stellt mathematische Grundlagen bereit, die in Vorlesungen zur Eichfeldtheorie in der theoretischen und mathematischen Physik Anwendung finden.

American Book Publishing Record

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ISBN : UOM:39015066180442
Genre : American literature
File Size : 60. 36 MB
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Abpr

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ISBN : STANFORD:36105210122367
Genre : American literature
File Size : 44. 91 MB
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British Books In Print

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ISBN : SRLF:D0002796084
Genre : Catalogs, Publishers'
File Size : 60. 23 MB
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Subject Guide To Books In Print

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ISBN : STANFORD:36105025888533
Genre : American literature
File Size : 89. 60 MB
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The Bulletin Of Mathematics Books

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ISBN : CORNELL:31924074863436
Genre : Mathematics
File Size : 65. 13 MB
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Kontinuumstheorie Der Versetzungen Und Eigenspannungen

Author : Ekkehart Kröner
ISBN : UOM:39015047645380
Genre : Deformations (Mechanics)
File Size : 87. 55 MB
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Quantum Monte Carlo

Author : James B. Anderson
ISBN : 9780195310108
Genre : Art
File Size : 44. 7 MB
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Monte Carlo methods are a class of computational algorithms for simulating the behavior of a wide range of various physical and mathematical systems (with many variables). Their utility has increased with general availability of fast computers, and new applications are continually forthcoming. The basic concepts of Monte Carlo are both simple and straightforward and rooted in statistics and probability theory, their defining characteristic being that the methodology relies on random or pseudo-random sequences of numbers. It is a technique of numerical analysis based on the approximate solution of a problem using repeated sampling experiments and observing the proportion of times a given property is satisfied. The term Monte Carlo was first used to describe calculational methods based on chance in the 1940s, but the methods themselves preceded the term by as much as a century. Quantum Monte Carlo (QMC) first appeared in 1982 and similarly was preceded by development of the related calculational methodology. The success of QMC methods over the past few decades has been remarkable, and this book will clearly demonstrate that success in its discussion of applications. For isolated molecules, the basic material of chemistry, QMC methods have produced exact solutions of the Schroedinger equation for very small systems and the most accurate solutions available for very large systems. The range of applications is impressive: folding of protein molecules, interactions in liquids, structure modeling in crystals and enzymes, quantum dots, designing heat shields and aerodynamic forms, architecture, design, business and economics, and even cinema and video games (3D modeling). This book takes a similar approach to Henry Schaefers classic book Quantum Chemistry (OUP, 1984 now a Dover edition), collecting summaries of some of the most important papers in the quantum Monte Carlo literature, tying everything together with analysis and discussion of applications. Quantum Monte Carlo is a reference book for quantum Monte Carlo applications, belonging near the desk of every quantum chemist, physicist, and a wide range of scientists and engineers across many disciplines, destined to become a classic.

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