Topics In Contemporary Mathematical Physics PDF Download
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Author | : Kai S Lam |
Publisher | : World Scientific Publishing Company |
Total Pages | : 852 |
Release | : 2015-09-17 |
Genre | : Science |
ISBN | : 981466782X |
Download Topics in Contemporary Mathematical Physics Book in PDF, ePub and Kindle
This new (second) edition contains a general treatment of quantum field theory (QFT) in a simple scalar field setting in addition to the modern material on the applications of differential geometry and topology, group theory, and the theory of linear operators to physics found in the first edition. All these are introduced without assuming more background on the part of the reader than a good foundation in undergraduate (junior) level mathematical physics. The new material entirely focuses on an introduction to quantum field theory, emphasizing the Feynman path (functional integral) approach to QFT and the renormalization group. With respect to the latter, the focus is on an introduction of its application to critical phenomena in statistical physics, following the outgrowth of the Callan–Symanzik equation originally developed in the context of high energy physics, and the seminal contributions of Kenneth Wilson. One of the overriding aims of the new material is also to draw students' attention to the deep connections between high energy physics and statistical mechanics. The unavoidable technical aspects are explained with a minimum of prerequisite material and jargon, and conceptual understanding is always given prominence before mastery of technical details, but the importance of the latter is never underestimated. Derivational details and motivational discussions are provided in abundance in order to ensure continuity of reading, and to avoid trying the readers' patience.
Author | : Kai S Lam |
Publisher | : World Scientific Publishing Company |
Total Pages | : 620 |
Release | : 2003-06-06 |
Genre | : Science |
ISBN | : 9813102306 |
Download Topics in Contemporary Mathematical Physics Book in PDF, ePub and Kindle
This textbook, pitched at the advanced-undergraduate to beginning-graduate level, focuses on mathematical topics of relevance in contemporary physics that are not usually covered in texts at the same level. Its main purpose is to help students appreciate and take advantage of the modern trend of very productive symbiosis between physics and mathematics. Three major areas are covered: (1) linear operators; (2) group representations and Lie algebra representations; (3) topology and differential geometry. The following are noteworthy features of this book: the style of exposition is a fusion of those common in the standard physics and mathematics literatures; the level of exposition varies from quite elementary to moderately advanced, so that the book is of interest to a wide audience; despite the diversity of the topics covered, there is a strong degree of thematic unity; much care is devoted to detailed cross-referencing so that, from any part of the book, the reader can trace easily where specific concepts or techniques are introduced.
Author | : Kai Shue Lam |
Publisher | : |
Total Pages | : |
Release | : 2003 |
Genre | : |
ISBN | : 9789812775443 |
Download Topics in Contemporary Mathematical Physics Book in PDF, ePub and Kindle
Author | : Kai Shue Lam |
Publisher | : World Scientific |
Total Pages | : 628 |
Release | : 2003 |
Genre | : Science |
ISBN | : 9789812384041 |
Download Topics in Contemporary Mathematical Physics Book in PDF, ePub and Kindle
This textbook, pitched at the advanced-undergraduate to beginning-graduate level, focuses on mathematical topics of relevance in contemporary physics that are not usually covered in texts at the same level. Its main purpose is to help students appreciate and take advantage of the modern trend of very productive symbiosis between physics and mathematics. Three major areas are covered: (1) linear operators; (2) group representations and Lie algebra representations; and (3) topology and differential geometry. The features of this work include: an exposition style which is a fusion of those common in the standard physics and mathematics literatures; a level of exposition that varies from quite elementary to moderately advanced, so that the text should be of interest to a wide audience; a strong degree of thematic unity, despite the diversity of the topics covered; and cross references, so that, from any part of the book, the reader can trace easily where specific concepts or techniques are introduced.
Author | : Roman W. Jackiw |
Publisher | : World Scientific |
Total Pages | : 528 |
Release | : 1995 |
Genre | : Science |
ISBN | : 9789810216979 |
Download Diverse Topics in Theoretical and Mathematical Physics Book in PDF, ePub and Kindle
In this volume, topics are drawn from field theory, especially gauge field theory, as applied to particle, condensed matter and gravitational physics, and concern a variety of interesting subjects. These include geometricalDtopological effects in quantum theory, fractional charge, time travel, relativistic quantized fields in and out of thermal equilibrium and quantum modifications of symmetry in physical systems.Many readers will find this a useful volume, especially theoretical physicists and mathematicians. The material will be of interest to both the expert who will find well-presented novel and stimulating viewpoints of various subjects and the novice who will find complete, detailed and precise descriptions of important topics of current interest, in theoretical and mathematical physics.
Author | : Peter Szekeres |
Publisher | : Cambridge University Press |
Total Pages | : 620 |
Release | : 2004-12-16 |
Genre | : Mathematics |
ISBN | : 9780521829601 |
Download A Course in Modern Mathematical Physics Book in PDF, ePub and Kindle
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Author | : Ignacio Bello |
Publisher | : Houghton Mifflin |
Total Pages | : 0 |
Release | : 2004-02 |
Genre | : Mathematics |
ISBN | : 9780618347520 |
Download Topics in Contemporary Mathematics Book in PDF, ePub and Kindle
Topics in Contemporary Mathematics, 8/e, is uniquely designed to help students see math at work in the contemporary world by presenting problem solving in purposeful and meaningful contexts.
Author | : Stancho Dimiev |
Publisher | : World Scientific |
Total Pages | : 350 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9812709800 |
Download Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics Book in PDF, ePub and Kindle
This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas. Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.
Author | : Don Koks |
Publisher | : Springer Science & Business Media |
Total Pages | : 549 |
Release | : 2006-09-15 |
Genre | : Science |
ISBN | : 0387309438 |
Download Explorations in Mathematical Physics Book in PDF, ePub and Kindle
Have 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.
Author | : Hiroyuki Shima |
Publisher | : Springer Science & Business Media |
Total Pages | : 693 |
Release | : 2010-04-12 |
Genre | : Science |
ISBN | : 3540878645 |
Download Higher Mathematics for Physics and Engineering Book in PDF, ePub and Kindle
Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.