An Introduction To Geometrical Physics PDF Download
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Author | : Ruben Aldrovandi |
Publisher | : World Scientific |
Total Pages | : 728 |
Release | : 1995 |
Genre | : Science |
ISBN | : 9789810222321 |
Download An Introduction to Geometrical Physics Book in PDF, ePub and Kindle
This book stresses the unifying power of the geometrical framework in bringing together concepts from the different areas of physics. Common underpinnings of optics, elasticity, gravitation, relativistic fields, particle mechanics and other subjects are underlined. It attempts to extricate the notion of space currently in the physical literature from the metric connotation.The book's goal is to present mathematical ideas associated with geometrical physics in a rather introductory language. Included are many examples from elementary physics and also, for those wishing to reach a higher level of understanding, a more advanced treatment of the mathematical topics. It is aimed as an elementary text, more so than most others on the market, and is intended for first year graduate students.
Author | : Aldrovandi Ruben |
Publisher | : World Scientific |
Total Pages | : 844 |
Release | : 2016-10-07 |
Genre | : Science |
ISBN | : 9813146834 |
Download An Introduction to Geometrical Physics Book in PDF, ePub and Kindle
This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature -- gravitational, electromagnetic, strong nuclear, and weak nuclear. The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students. In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding.
Author | : Milton Katz |
Publisher | : World Scientific |
Total Pages | : 332 |
Release | : 2002 |
Genre | : Science |
ISBN | : 9789812382245 |
Download Introduction to Geometrical Optics Book in PDF, ePub and Kindle
This book is the culmination of twenty-five years of teaching Geometrical Optics. The volume is organised such that the single spherical refracting surface is the basic optical element. Spherical mirrors are treated as special cases of refraction, with the same applicable equations. Thin lens equations follow as combinations of spherical refracting surfaces while the cardinal points of the thick lens make it equivalent to a thin lens. Ultimately, one set of vergence equations are applicable to all these elements.The chapters are devoted to in-depth treatments of stops, pupils and ports; magnifiers, microscopes, telescopes, and camera lenses; ophthalmic instruments; resolving power and MTF; trigonometric ray tracing; and chromatic and monochromatic aberrations. There are over 100 worked examples, 400 homework problems and 400 illustrations.First published in 1994 by Penumbra Publishing Co.
Author | : Theodore Frankel |
Publisher | : Cambridge University Press |
Total Pages | : 749 |
Release | : 2011-11-03 |
Genre | : Mathematics |
ISBN | : 1139505610 |
Download The Geometry of Physics Book in PDF, ePub and Kindle
This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang–Mills, the Aharonov–Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text.
Author | : Bernard F. Schutz |
Publisher | : Cambridge University Press |
Total Pages | : 272 |
Release | : 1980-01-28 |
Genre | : Science |
ISBN | : 1107268141 |
Download Geometrical Methods of Mathematical Physics Book in PDF, ePub and Kindle
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.
Author | : E.G.Peter Rowe |
Publisher | : Springer Science & Business Media |
Total Pages | : 263 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 1447138937 |
Download Geometrical Physics in Minkowski Spacetime Book in PDF, ePub and Kindle
From the reviews: "This attractive book provides an account of the theory of special relativity from a geometrical viewpoint, explaining the unification and insights that are given by such a treatment. [...] Can be read with profit by all who have taken a first course in relativity physics." ASLIB Book Guide
Author | : J. L. Synge |
Publisher | : CUP Archive |
Total Pages | : 132 |
Release | : 1937-01-02 |
Genre | : Mathematics |
ISBN | : |
Download Geometrical Optics Book in PDF, ePub and Kindle
It is by no means easy for the applied mathematician to decide how much importance he should attach to the more abstract and aesthetic side of his work ... To all appearances, Sir William Rowan Hamilton (1850-1865) attached little importance to the practical applications of his method, and it was only with the publication of his Mathematical Papers that it was possible to form a more correct and balanced judgement of Hamilton as an applied mathematician.
Author | : James J. Callahan |
Publisher | : Springer Science & Business Media |
Total Pages | : 474 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 1475767366 |
Download The Geometry of Spacetime Book in PDF, ePub and Kindle
Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.
Author | : Charles Nash |
Publisher | : Courier Corporation |
Total Pages | : 302 |
Release | : 2013-08-16 |
Genre | : Mathematics |
ISBN | : 0486318362 |
Download Topology and Geometry for Physicists Book in PDF, ePub and Kindle
Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.
Author | : Mikio Nakahara |
Publisher | : Taylor & Francis |
Total Pages | : 596 |
Release | : 2018-10-03 |
Genre | : Mathematics |
ISBN | : 1420056948 |
Download Geometry, Topology and Physics Book in PDF, ePub and Kindle
Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.