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Author: Peter Szekeres
Publisher: Cambridge University Press
Published: 2004-12-16
Total Pages: 620
ISBN-13: 9780521829601
DOWNLOAD EBOOKThis textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Author: Peter Szekeres
Publisher: Cambridge University Press
Published: 2004-12-16
Total Pages: 620
ISBN-13: 1139455834
DOWNLOAD EBOOKThis book, first published in 2004, provides an introduction to the major mathematical structures used in physics today. It covers the concepts and techniques needed for topics such as group theory, Lie algebras, topology, Hilbert space and differential geometry. Important theories of physics such as classical and quantum mechanics, thermodynamics, and special and general relativity are also developed in detail, and presented in the appropriate mathematical language. The book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics, as well as applied mathematics. It includes numerous exercises and worked examples, to test the reader's understanding of the various concepts, as well as extending the themes covered in the main text. The only prerequisites are elementary calculus and linear algebra. No prior knowledge of group theory, abstract vector spaces or topology is required.
Author: Sadri Hassani
Publisher: Springer Science & Business Media
Published: 2002-02-08
Total Pages: 1052
ISBN-13: 9780387985794
DOWNLOAD EBOOKFor physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
Author: Tai L. Chow
Publisher: Cambridge University Press
Published: 2000-07-27
Total Pages: 575
ISBN-13: 1139427962
DOWNLOAD EBOOKThis text is designed for an intermediate-level, two-semester undergraduate course in mathematical physics. It provides an accessible account of most of the current, important mathematical tools required in physics these days. It is assumed that the reader has an adequate preparation in general physics and calculus. The book bridges the gap between an introductory physics course and more advanced courses in classical mechanics, electricity and magnetism, quantum mechanics, and thermal and statistical physics. The text contains a large number of worked examples to illustrate the mathematical techniques developed and to show their relevance to physics. The book is designed primarily for undergraduate physics majors, but could also be used by students in other subjects, such as engineering, astronomy and mathematics.
Author: Victor P. Pikulin
Publisher: Springer Science & Business Media
Published: 2012-01-05
Total Pages: 215
ISBN-13: 3034802676
DOWNLOAD EBOOKMany physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution.The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers.
Author: Sadri Hassani
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 673
ISBN-13: 038721562X
DOWNLOAD EBOOKIntended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.
Author: Michael Spivak
Publisher:
Published: 2010
Total Pages: 733
ISBN-13: 9780914098324
DOWNLOAD EBOOKAuthor: Bernard F. Schutz
Publisher: Cambridge University Press
Published: 1980-01-28
Total Pages: 272
ISBN-13: 1107268141
DOWNLOAD EBOOKIn 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.T. Whittaker
Publisher: Courier Dover Publications
Published: 2020-07-15
Total Pages: 624
ISBN-13: 048684286X
DOWNLOAD EBOOKHistoric text by two great mathematicians consists of two parts, The Processes of Analysis and The Transcendental Functions. Geared toward students of analysis and historians of mathematics. 1920 third edition.
Author: Don Koks
Publisher: Springer Science & Business Media
Published: 2006-09-15
Total Pages: 549
ISBN-13: 0387309438
DOWNLOAD EBOOKHave you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
