Mathematics

A Concise Handbook of Mathematics, Physics, and Engineering Sciences

Author: Andrei D. Polyanin,Alexei I. Chernoutsan

Publisher: CRC Press

ISBN: 9781439806401

Category: Mathematics

Page: 1125

View: 3921

A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students find difficult to understand. The first part of the book contains chapters on arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, functions of complex variables, integral transforms, ordinary and partial differential equations, special functions, and probability theory. The second part discusses molecular physics and thermodynamics, electricity and magnetism, oscillations and waves, optics, special relativity, quantum mechanics, atomic and nuclear physics, and elementary particles. The third part covers dimensional analysis and similarity, mechanics of point masses and rigid bodies, strength of materials, hydrodynamics, mass and heat transfer, electrical engineering, and methods for constructing empirical and engineering formulas. The main text offers a concise, coherent survey of the most important definitions, formulas, equations, methods, theorems, and laws. Numerous examples throughout and references at the end of each chapter provide readers with a better understanding of the topics and methods. Additional issues of interest can be found in the remarks. For ease of reading, the supplement at the back of the book provides several long mathematical tables, including indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential equations.
Technology & Engineering

The Theory of Quantum Torus Knots: Volume II

Author: Michael Ungs

Publisher: Lulu.com

ISBN: 0557459885

Category: Technology & Engineering

Page: 726

View: 2794

A detailed mathematical derivation of space curves is presented that links the diverse fields of superfluids, quantum mechanics, Navier-Stokes hydrodynamics, and Maxwell electromagnetism by a common foundation. The basic mathematical building block is called the theory of quantum torus knots (QTK).
Mathematics

Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition

Author: Andrei D. Polyanin,Vladimir E. Nazaikinskii

Publisher: CRC Press

ISBN: 1466581492

Category: Mathematics

Page: 1609

View: 2618

Includes nearly 4,000 linear partial differential equations (PDEs) with solutions Presents solutions of numerous problems relevant to heat and mass transfer, wave theory, hydrodynamics, aerodynamics, elasticity, acoustics, electrodynamics, diffraction theory, quantum mechanics, chemical engineering sciences, electrical engineering, and other fields Outlines basic methods for solving various problems in science and engineering Contains much more linear equations, problems, and solutions than any other book currently available Provides a database of test problems for numerical and approximate analytical methods for solving linear PDEs and systems of coupled PDEs New to the Second Edition More than 700 pages with 1,500+ new first-, second-, third-, fourth-, and higher-order linear equations with solutions Systems of coupled PDEs with solutions Some analytical methods, including decomposition methods and their applications Symbolic and numerical methods for solving linear PDEs with Maple, Mathematica, and MATLAB® Many new problems, illustrative examples, tables, and figures To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity.
Science

New Aspects of Quantum Electrodynamics

Author: Akitomo Tachibana

Publisher: Springer

ISBN: 9811031320

Category: Science

Page: 189

View: 3837

This book presents new aspects of quantum electrodynamics (QED), a quantum theory of photons with electrons, from basic physics to physical chemistry with mathematical rigor. Topics covered include spin dynamics, chemical reactivity, the dual Cauchy problem, and more. Readers interested in modern applications of quantum field theory in nano-, bio-, and open systems will enjoy learning how the up-to-date quantum theory of radiation with matter works in the world of QED. In particular, chemical ideas restricted now to nonrelativistic quantum theory are shown to be unified and extended to relativistic quantum field theory that is basic to particle physics and cosmology: realization of the new-generation quantum theory. Readers are assumed to have a background equivalent to an undergraduate student's elementary knowledge in electromagnetism, quantum mechanics, chemistry, and mathematics.
Science

Statistical Physics

Theory of the Condensed State

Author: E.M. Lifshitz,L. P. Pitaevskii

Publisher: Elsevier

ISBN: 0080503500

Category: Science

Page: 387

View: 4265

The second part of 'Statistical Physics' deals with the quantum theory of the condensed state of matter. This volume is essentially an entirely new book, based on the large amount of new material which has become available in statistical physics since' Part 1' was published.
Science

Mechanik

Studienbuch für Mathematiker, Physiker im 2. und 3. Semester Band I des Lehrbuches der Theoretischen Physik

Author: Lev D. Landau

Publisher: Springer-Verlag

ISBN: 3322859371

Category: Science

Page: 204

View: 3122

Physikalische Kinetik

Author: Lew D Landau,Ewgeni M Lifschitz,Lev P. Pitaevskij

Publisher: N.A

ISBN: 9783808556245

Category:

Page: 480

View: 9771

Electrodynamics

Elektrodynamik

Author: David J. Griffiths

Publisher: Pearson Deutschland GmbH

ISBN: 386894057X

Category: Electrodynamics

Page: 708

View: 8800

Science

The classical theory of fields

Author: Lev Davidovich Landau,Evgeniĭ Mikhaĭlovich Lifshit͡s

Publisher: Pergamon

ISBN: N.A

Category: Science

Page: 402

View: 4682

Translated from the 6th Russian edition, this latest edition contains seven new sections with chapters on General Relativity, Gravitational Waves and Relativistic Cosmology, where Professor Lifshitz's interests lay. The text of the 3rd English edition has been thoroughly revised and additional problems inserted
Science

Moderne Physik

Author: Paul A. Tipler,Ralph A. Llewellyn

Publisher: De Gruyter Oldenbourg

ISBN: 9783486582758

Category: Science

Page: 963

View: 9894

Endlich liegt die anschauliche und fundierte Einführung zur Modernen Physik von Paul A. Tipler und Ralph A. Llewellyn in der deutschen Übersetzung vor. Eine umfassende Einführung in die Relativitätstheorie, die Quantenmechanik und die statistische Physik wird im ersten Teil des Buches gegeben. Die wichtigsten Arbeitsgebiete der modernen Physik - Festkörperphysik, Kern- und Teilchenphysik sowie die Kosmologie und Astrophysik - werden in der zweiten Hälfte des Buches behandelt. Zu weiteren zahlreichen Spezialgebieten gibt es Ergänzungen im Internet beim Verlag der amerikanischen Originalausgabe, die eine Vertiefung des Stoffes ermöglichen. Mit ca. 700 Übungsaufgaben eignet sich das Buch hervorragend zum Selbststudium sowie zur Begleitung einer entsprechenden Vorlesung. Die Übersetzung des Werkes übernahm Dr. Anna Schleitzer. Die Bearbeitung und Anpassung an Anforderungen deutscher Hochschulen wurde von Prof. Dr. G. Czycholl, Prof. Dr. W. Dreybrodt, Prof. Dr. C. Noack und Prof. Dr. U. Strohbusch durchgeführt. Dieses Team gewährleistet auch für die deutsche Fassung die wissenschaftliche Exaktheit und Stringenz des Originals.
Science

Klassische Mechanik

Author: Herbert Goldstein,Charles P. Poole, Jr.,John L. Safko, Sr.

Publisher: John Wiley & Sons

ISBN: 3527662073

Category: Science

Page: 700

View: 8271

Der Goldstein gehört zu den Standardwerken für die Vorlesung in Klassischer Mechanik, die Pflichtvorlesung und Teil des Theorie-Lehrplans jedes Physik-Studienganges ist. Für diese aktuelle Ausgabe haben Charles Poole und John Safko die Texte überarbeitet und neueste Themen, Anwendungen und Notationen eingearbeitet und sind damit auf moderne Trends in der Theoretischen Mechanik eingegangen. Neue numerische Übungen verhelfen den Studenten zur Fähigkeit, Computeranwendungen für die Lösung von Physikproblemen zu benutzen. Mathematische Techniken werden detailliert eingeführt, so daß der Text auch für Studenten ohne den entsprechenden Hintergrund der Theoretischen Mechanik verständlich ist.
Science

Eine kurze Geschichte der Zeit

Author: Stephen Hawking

Publisher: Rowohlt Verlag GmbH

ISBN: 3644008612

Category: Science

Page: 272

View: 4894

Ist das Universum unendlich oder begrenzt? Hat die Raumzeit einen Anfang, den Urknall? Dehnt sie sich aus? Wird sie wieder in sich zusammenstürzen? Liefe die Zeit dann rückwärts? Welchen Platz im Universum nehmen wir ein? Und ist in den atemberaubenden Modellen der Kosmologen noch Platz für einen Gott? – Es sind existenzielle Fragen, mit denen sich Stephen Hawking befasst, Fragen, die Forschung und Lehre in den Zentren der modernen Physik ebenso bestimmen wie die Diskussion von Geisteswissenschaftlern. Dieses Meisterwerk eines Jahrhundert-Genies hat unsere Weltsicht verändert. Zugleich hat Stephen Hawking damit neue Maßstäbe für die Erklärung komplexer physikalischer Zusammenhänge gesetzt. In diesem Buch, weltweit inzwischen über zehn Millionen Mal verkauft, ist das Credo des großen Physikers enthalten und lebendig. «Der Physiker Stephen Hawking ist im Begriff, die Formel zu finden, die das Universum erklärt.» ZEIT-Magazin

Physik

Author: David Halliday,Robert Resnick

Publisher: Walter de Gruyter

ISBN: 9783110138979

Category:

Page: 17

View: 1718

Technology & Engineering

Excimer lasers

Author: M. J. Shaw

Publisher: N.A

ISBN: N.A

Category: Technology & Engineering

Page: 54

View: 1124

Science

Gauge Theories in Particle Physics

Volume I: From Relativistic Quantum Mechanics to QED, Third Edition

Author: I.J.R. Aitchison,A.J.G. Hey

Publisher: CRC Press

ISBN: 9780849387753

Category: Science

Page: 422

View: 2080

Gauge Theories in Particle Physics, Volume 1: From Relativistic Quantum Mechanics to QED, Third Edition presents an accessible, practical, and comprehensive introduction to the three gauge theories of the standard model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the electroweak theory. For each of them, the authors provide a thorough discussion of the main conceptual points, a detailed exposition of many practical calculations of physical quantities, and a comparison of these quantitative predictions with experimental results. For this two-volume third edition, much of the book has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. Substantial new material has been introduced that is intended for use in undergraduate physics courses. New introductory chapters provide a precise historical account of the properties of quarks and leptons, and a qualitative overview of the quantum field description of their interactions, at a level appropriate to third year courses. The chapter on relativistic quantum mechanics has been enlarged and is supplemented by additional sections on scattering theory and Green functions, in a form appropriate to fourth year courses. Since precision experiments now test the theories beyond lowest order in perturbation theory, an understanding of the data requires a more sophisticated knowledge of quantum field theory, including ideas of renormalization. The treatment of quantum field theory has therefore been considerably extended so as to provide a uniquely accessible and self-contained introduction to quantum field dynamics, as described by Feynman graphs. The level is suitable for advanced fourth year undergraduates and first year graduates. These developments are all contained in the first volume, which ends with a discussion of higher order corrections in QED; the second volume is devoted to the non-Abelian gauge theories of QCD and the electroweak theory. As in the first two editions, emphasis is placed throughout on developing realistic calculations from a secure physical and conceptual basis.