Author: aaa

Publisher: Elsevier

ISBN: 0323154964

Category: Mathematics

Page: 346

View: 2420

Partial Differential Equations in Physics: Lectures on Theoretical Physics, Volume VI is a series of lectures in Munich on theoretical aspects of partial differential equations in physics. This book contains six chapters and begins with a presentation of the Fourier series and integrals based on the method of least squares. Chapter II deals with the different types of differential equations and boundary value problems, as well as the Green’s theorem and Green’s function. Chapter III addresses the classic problem of heat conduction and the intuitive method of reflected images for regions with plane boundaries. Chapters IV and V examine the Bessel functions, spherical harmonics, and the general method of eigenfunctions. Chapter VI highlights the problems in radio waves propagation, always considering the earth as a plane. This book is of great benefit to mathematicians, physicists, and physics teachers and undergraduate students.
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Author: Vladimir I. Arnold

Publisher: Springer Science & Business Media

ISBN: 3662054418

Category: Mathematics

Page: 162

View: 2443

Choice Outstanding Title! (January 2006) This richly illustrated text covers the Cauchy and Neumann problems for the classical linear equations of mathematical physics. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.
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Lectures on Theoretical Physics

Author: Arnold Sommerfeld

Publisher: Elsevier

ISBN: 1483214281

Category: Science

Page: 408

View: 3470

Mechanics of Deformable Bodies: Lectures on Theoretical Physics, Volume II covers topics on the mechanics of deformable bodies. The book discusses the kinematics, statics, and dynamics of deformable bodies; the vortex theory; as well as the theory of waves. The test also describes flow with given boundaries. Supplementary notes on selected hydrodynamic problems, as well as supplements to the theory of elasticity are also provided. Physicists, mathematicians, and students taking related courses will find the book invaluable.
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Author: Richard P. Feynman

Publisher: CRC Press

ISBN: 0429980078

Category: Science

Page: 324

View: 8604

When, in 1984?86, Richard P. Feynman gave his famous course on computation at the California Institute of Technology, he asked Tony Hey to adapt his lecture notes into a book. Although led by Feynman, the course also featured, as occasional guest speakers, some of the most brilliant men in science at that time, including Marvin Minsky, Charles Bennett, and John Hopfield. Although the lectures are now thirteen years old, most of the material is timeless and presents a ?Feynmanesque? overview of many standard and some not-so-standard topics in computer science such as reversible logic gates and quantum computers.
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Author: Otto Laporte

Publisher: Elsevier

ISBN: 0323152392

Category: Technology & Engineering

Page: 396

View: 8428

Optics: Lectures on Theoretical Physics, Volume IV focuses on the study of optics, particularly on the refraction and reflection of light. Composed of six chapters, the book focuses first on the historical outline of geometrical, physical, and physiological optics. This discussion is followed by the review of basic principles of ideal and natural light and Fresnel's equations on reflection and refraction of light. The optics of moving media and sources is discussed next. This topic covers Doppler effect, the Michelson experiment, and the quantum theory of light. The theory of dispersion is also presented, as well as the ultraviolet resonance, anomalous dispersion, Normal Zeeman effect, and the wave mechanical theory of dispersion. The next part of the book covers crystal optics, including active crystals and fluids, the problem of double refraction, and the optical symmetry of crystals. The theory of diffraction and related experiments are also noted. Numerical analyses and representations are presented in this consideration. Considering the value of the discussions, the readers, including scholars and readers interested to study the physics involved in optics, will find this book a vital source of data.
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International Series of Monographs in Pure and Applied Mathematics

Author: B. M. Budak,A. A. Samarskii,A. N. Tikhonov

Publisher: Elsevier

ISBN: 1483184862

Category: Science

Page: 782

View: 3694

A Collection of Problems on Mathematical Physics is a translation from the Russian and deals with problems and equations of mathematical physics. The book contains problems and solutions. The book discusses problems on the derivation of equations and boundary condition. These Problems are arranged on the type and reduction to canonical form of equations in two or more independent variables. The equations of hyperbolic type concerns derive from problems on vibrations of continuous media and on electromagnetic oscillations. The book considers the statement and solutions of boundary value problems pertaining to equations of parabolic types when the physical processes are described by functions of two, three or four independent variables such as spatial coordinates or time. The book then discusses dynamic problems pertaining to the mechanics of continuous media and problems on electrodynamics. The text also discusses hyperbolic and elliptic types of equations. The book is intended for students in advanced mathematics and physics, as well as, for engineers and workers in research institutions.
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Author: Peter J. Olver

Publisher: Springer Science & Business Media

ISBN: 1468402749

Category: Mathematics

Page: 497

View: 434

This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations. Applications covered in the body of the book include calculation of symmetry groups of differential equations, integration of ordinary differential equations, including special techniques for Euler-Lagrange equations or Hamiltonian systems, differential invariants and construction of equations with pre scribed symmetry groups, group-invariant solutions of partial differential equations, dimensional analysis, and the connections between conservation laws and symmetry groups. Generalizations of the basic symmetry group concept, and applications to conservation laws, integrability conditions, completely integrable systems and soliton equations, and bi-Hamiltonian systems are covered in detail. The exposition is reasonably self-contained, and supplemented by numerous examples of direct physical importance, chosen from classical mechanics, fluid mechanics, elasticity and other applied areas.
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Author: Michael Griebel,Marc Alexander Schweitzer

Publisher: Springer Science & Business Media

ISBN: 3642329799

Category: Computers

Page: 244

View: 1723

Meshfree methods are a modern alternative to classical mesh-based discretization techniques such as finite differences or finite element methods. Especially in a time-dependent setting or in the treatment of problems with strongly singular solutions their independence of a mesh makes these methods highly attractive. This volume collects selected papers presented at the Sixth International Workshop on Meshfree Methods held in Bonn, Germany in October 2011. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. ​
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Author: Haim Brezis

Publisher: Springer Science & Business Media

ISBN: 0387709142

Category: Mathematics

Page: 600

View: 4676

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.
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Author: Arnold Sommerfeld

Publisher: Springer Science & Business Media

ISBN: 0817681965

Category: Mathematics

Page: 157

View: 6785

A. Sommerfeld's "Mathematische Theorie der Diffraction" marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his often-cited diffraction solution is presented only as an application of a much more general set of mathematical results. This complete translation, reflecting substantial scholarship, is the first publication in English of Sommerfeld's original work. The extensive notes by the translators are rich in historical background and provide many technical details for the reader.
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Physics and Engineering at the Nanoscale

Author: John Weiner,Frederico Nunes

Publisher: Oxford University Press

ISBN: 0198796668

Category:

Page: 448

View: 7246

Light-matter interaction is pervasive throughout the disciplines of optical and atomic physics, condensed matter physics, electrical engineering, and now increasingly in biology and medicine with frequency and length scales extending over many orders of magnitude. Deep earth and sea communications use frequencies of a few tens of Hz, and X-ray imaging requires sources oscillating at hundreds of petaHz. This book provides advanced undergraduates, graduate students and researchers from diverse disciplines with the principal tools required to understand and contribute to rapidly advancing developments in light-matter interaction, centred at optical frequencies and length scales from a few hundred nanometres to a few hundredths of a nanometre. This book deploys an arsenal of powerful analytic tools to render this multidisciplinary subject in unique form, not encountered in standard Physics or Electrical Engineering text books. This new edition has been substantially expanded with almost 200 pages of new material. Several new and extended chapters treat momentum flow between fields and matter, metamaterials, and atom-optical forces applied to atomic and molecular cooling and trapping.
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Author: George B. Arfken,Hans J. Weber

Publisher: Academic Press

ISBN: 1483288064

Category: Science

Page: 1029

View: 3568

This new and completely revised Fourth Edition provides thorough coverage of the important mathematics needed for upper-division and graduate study in physics and engineering. Following more than 28 years of successful class-testing, Mathematical Methods for Physicists is considered the standard text on the subject. A new chapter on nonlinear methods and chaos is included, as are revisions of the differential equations and complex variables chapters. The entire book has been made even more accessible, with special attention given to clarity, completeness, and physical motivation. It is an excellent reference apart from its course use. This revised Fourth Edition includes: Modernized terminology Group theoretic methods brought together and expanded in a new chapter An entirely new chapter on nonlinear mathematical physics Significant revisions of the differential equations and complex variables chapters Many new or improved exercises Forty new or improved figures An update of computational techniques for today's contemporary tools, such as microcomputers, Numerical Recipes, and Mathematica(r), among others
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Author: I. G. Petrovsky

Publisher: Courier Corporation

ISBN: 0486155080

Category: Mathematics

Page: 272

View: 8147

Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.
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The Now Mighty Theoretical Physics, 1870 to 1925

Author: Christa Jungnickel,Russell McCormmach

Publisher: University of Chicago Press

ISBN: 9780226415857

Category: Reference

Page: 435

View: 7412

Winner of the 1987 Pfizer Award of the History of Science Society "A majestic study of a most important spoch of intellectual history."—Brian Pippard, Times Literary Supplement "The authors' use of archival sources hitherto almost untouched gives their story a startling vividness. These volumes are among the finest works produced by historians of physics."—Jed Z. Buchwald, Isis "The authors painstakingly reconstruct the minutiae of laboratory budgets, instrument collections, and student numbers; they disentangle the intrigues of faculty appointments and the professional values those appointments reflected; they explore collegial relationships among physicists; and they document the unending campaign of scientists to wring further support for physics from often reluctant ministries."—R. Steven Turner, Science "Superbly written and exhaustively researched."—Peter Harman, Nature
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