Lectures On Advanced Mathematical Methods For Physicists
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Lectures On Advanced Mathematical Methods For Physicists
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Author : Sunil Mukhi
language : en
Publisher: World Scientific
Release Date : 2010
Lectures On Advanced Mathematical Methods For Physicists written by Sunil Mukhi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and de Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles. --
Lectures On Advanced Mathematical Methods For Physicists
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Author : Sunil Mukhi
language : en
Publisher: World Scientific
Release Date : 2010
Lectures On Advanced Mathematical Methods For Physicists written by Sunil Mukhi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics, (including string theory) while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics. Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and De Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles. Part II starts with a review of group theory, followed by the basics of representation theory. A thorough description of Lie groups and algebras is presented with their structure constants and linear representations. Root systems and their classifications are detailed, and this section of the book concludes with the description of representations of simple Lie algebras, emphasizing spinor representations of orthogonal and pseudo-orthogonal groups. The style of presentation is succinct and precise. Involved mathematical proofs that are not of primary importance to physics student are omitted. The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists.
Lectures On Advanced Mathematical Methods For Physicists Texts And Readings In Physical Sciences 9
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Author : Sunil Mukhi And N. Mukunda
language : en
Publisher:
Release Date : 2010
Lectures On Advanced Mathematical Methods For Physicists Texts And Readings In Physical Sciences 9 written by Sunil Mukhi And N. Mukunda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematical physics categories.
This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics, (including string theory) while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics. Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and De Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles. Part II starts with a review of group theory, followed by the basics of representation theory. A thorough description of Lie groups and algebras is presented with their structure constants and linear representations. Root systems and their classifications are detailed, and this section of the book concludes with the description of representations of simple Lie algebras, emphasizing spinor representations of orthogonal and pseudo-orthogonal groups. The style of presentation is succinct and precise. Involved mathematical proofs that are not of primary importance to physics student are omitted. The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists.
Advanced Mathematical Methods For Scientists And Engineers I
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Author : Carl M. Bender
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Advanced Mathematical Methods For Scientists And Engineers I written by Carl M. Bender and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining approximate analytical solutions to differential and difference equations that cannot be solved exactly. Our objective is to help young and also establiShed scientists and engineers to build the skills necessary to analyze equations that they encounter in their work. Our presentation is aimed at developing the insights and techniques that are most useful for attacking new problems. We do not emphasize special methods and tricks which work only for the classical transcendental functions; we do not dwell on equations whose exact solutions are known. The mathematical methods discussed in this book are known collectively as asymptotic and perturbative analysis. These are the most useful and powerful methods for finding approximate solutions to equations, but they are difficult to justify rigorously. Thus, we concentrate on the most fruitful aspect of applied analysis; namely, obtaining the answer. We stress care but not rigor. To explain our approach, we compare our goals with those of a freshman calculus course. A beginning calculus course is considered successful if the students have learned how to solve problems using calculus.
Mathematical Tools For Physicists
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Author : Michael Grinfeld
language : en
Publisher: John Wiley & Sons
Release Date : 2015-01-12
Mathematical Tools For Physicists written by Michael Grinfeld and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-12 with Science categories.
The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical physics, probability theory, stochastic differential equations, and variational methods.
The Physics Of Disordered Systems
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Author : Gautam I Menon
language : en
Publisher: Springer
Release Date : 2012-03-15
The Physics Of Disordered Systems written by Gautam I Menon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-15 with Science categories.
Disordered systems are ubiquitous in nature and their study remains a profound and challenging subject of current research. Ideas and methods from the physics of Disordered systems have been fruitfully applied to several fields ranging from computer science to neuroscience. This book contains a selection of lectures delivered at the 'SERC School on Disordered Systems', spanning topics from classic results to frontier areas of research in this field. Spin glasses, disordered Ising models, quantum disordered systems, structural glasses, dilute magnets, interfaces in random field systems and disordered vortex systems are among the topics discussed in the text, in chapters authored by active researchers in the field, including Bikas Chakrabarti, Arnab Das, Deepak Kumar, Gautam Menon, G. Ravikumar, Purusattam Ray, Srikanth Sastry and Prabodh Shukla. This book provides a gentle and comprehensive introduction to the physics of disordered systems and is aimed at graduate students and young scientists either working in or intending to enter this exciting field. It should also serve as a general reference for students and practicing researchers alike.
Computational Statistical Physics
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Author : Sitangshu Bikas Santra
language : en
Publisher: Springer
Release Date : 2011-07-15
Computational Statistical Physics written by Sitangshu Bikas Santra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-15 with Science categories.
The present book is an outcome of the SERC school on Computational Statistical Physics held at the Indian Institute of Technology, Guwahati, in December 2008. Numerical experimentation has played an extremely important role in statistical physics in recent years. Lectures given at the School covered a large number of topics of current and continuing interest. Based on lectures by active researchers in the field- Bikas Chakrabarti, S Chaplot, Deepak Dhar, Sanjay Kumar, Prabal Maiti, Sanjay Puri, Purusattam Ray, Sitangshu Santra and Subir Sarkar- the nine chapters comprising the book deal with topics that range from the fundamentals of the field, to problems and questions that are at the very forefront of current research. This book aims to expose the graduate student to the basic as well as advanced techniques in computational statistical physics. Following a general introduction to statistical mechanics and critical phenomena, the various chapters cover Monte Carlo and molecular dynamics simulation methodology, along with a variety of applications. These include the study of coarsening phenomena and diffusion in zeolites. /p In addition, graphical enumeration techniques are covered in detail with applications to percolation and polymer physics, and methods for optimisation are also discussed. Beginning graduate students and young researchers in the area of statistical physics will find the book useful. In addition, this will also be a valuable general reference for students and researchers in other areas of science and engineering.
Surveys In Theoretical High Energy Physics 1
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Author : P Ramadevi
language : en
Publisher: Springer
Release Date : 2013-01-15
Surveys In Theoretical High Energy Physics 1 written by P Ramadevi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-15 with Science categories.
The recent discovery at the Large Hadron Collider, of what is very likely the Higgs particle, has given a fillip to research in High Energy physics. These experiments hold the promise of a glimpse of physics beyond the Standard Model, which while having been verified to great accuracy, cannot be the final theory. Uncomfortable gaps -both theoretical and experimental- remain in our understanding. Lecture notes from the SERC School in Theoretical High Energy Physics held at IIT Bombay in February 2008 are contained in this volume. Topics that were covered then are of continuing importance, more so in the light of the ongoing LHC experiment. The various chapters in the book include an extensive survey of LHC physics that together with formal aspects and models of supersymmetry, review the state of the art in our understanding of the Standard Model and beyond. The article on B Physics and CP violations add to this, while the chapter on thermal field theory reviews the formalism necessaryto understand the early universe and to embark on an analysis of quark-gluon plasma in heavy ion collisions. Written in a clear pedagogic style by active researchers, this text will prepare a beginner to work in the field and at the same time will also provide useful reference material for active researchers.
Mathematical Methods For Physicists And Engineers
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Author : Royal Eugene Collins
language : en
Publisher: Courier Corporation
Release Date : 2012-06-11
Mathematical Methods For Physicists And Engineers written by Royal Eugene Collins and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-11 with Science categories.
Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.
Surveys In Theoretical High Energy Physics 2
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Author : Raghavan Rangarajan
language : en
Publisher: Springer
Release Date : 2016-11-13
Surveys In Theoretical High Energy Physics 2 written by Raghavan Rangarajan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-13 with Science categories.
The book presents pedagogical reviews of important topics on high energy physics to the students and researchers in particle physics. The book also discusses topics on the Quark–Gluon plasma, thermal field theory, perturbative quantum chromodynamics, anomalies and cosmology. Students of particle physics need to be well-equipped with basic understanding of many concepts underlying the standard models of particle physics and cosmology. This is particularly true today when experimental results from colliders, such as large hadron collider (LHC) and relativistic heavy ion collider (RHIC), as well as inferences from cosmological observations, are expected to further expand our understanding of particle physics at high energies. This volume is the second in the Surveys in Theoretical High Energy Physics Series (SThEP). Topics covered in this book are based on lectures delivered at the SERC Schools in Theoretical High Energy Physics at the Physical Research Laboratory, Ahmedabad, and the University of Hyderabad.