Search Results for "handbook-of-linear-partial-differential-equations-for-engineers-and-scientists-second-edition"

Handbook of Linear Partial Differential Equations for Engineers and Scientists

Handbook of Linear Partial Differential Equations for Engineers and Scientists

  • Author: Andrei D. Polyanin,Vladimir E. Nazaikinskii
  • Publisher: CRC Press
  • ISBN: 1466581492
  • Category: Mathematics
  • Page: 1609
  • View: 6126
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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.

Handbook of Nonlinear Partial Differential Equations, Second Edition

Handbook of Nonlinear Partial Differential Equations, Second Edition

  • Author: Andrei D. Polyanin,Valentin F. Zaitsev
  • Publisher: CRC Press
  • ISBN: 142008724X
  • Category: Mathematics
  • Page: 1912
  • View: 2621
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New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with MapleTM, Mathematica®, and MATLAB® Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They outline the methods in a schematic, simplified manner and arrange the material in increasing order of complexity.

Dynamical Systems

Dynamical Systems

Analytical and Computational Techniques

  • Author: Mahmut Reyhanoglu
  • Publisher: BoD – Books on Demand
  • ISBN: 9535130153
  • Category: Mathematics
  • Page: 274
  • View: 6817
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There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems that arise in science and engineering. This progress has been, to a large extent, due to our increasing ability to mathematically model physical processes and to analyze and solve them, both analytically and numerically. With its eleven chapters, this book brings together important contributions from renowned international researchers to provide an excellent survey of recent advances in dynamical systems theory and applications. The first section consists of seven chapters that focus on analytical techniques, while the next section is composed of four chapters that center on computational techniques.

Handbook of Integral Equations

Handbook of Integral Equations

Second Edition

  • Author: Andrei D. Polyanin,Alexander V. Manzhirov
  • Publisher: CRC Press
  • ISBN: 9780203881057
  • Category: Mathematics
  • Page: 1144
  • View: 3967
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Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor. New to the Second Edition • New material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions • More than 400 new equations with exact solutions • New chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs • Additional examples for illustrative purposes 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. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.

Methoden der Mathematischen Physik

Methoden der Mathematischen Physik

  • Author: Richard Courant,David Hilbert
  • Publisher: Springer-Verlag
  • ISBN: 366236445X
  • Category: Mathematics
  • Page: 454
  • View: 7680
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Handbook of Differential Equations

Handbook of Differential Equations

  • Author: Daniel Zwillinger
  • Publisher: Academic Press
  • ISBN: 1483263967
  • Category: Mathematics
  • Page: 808
  • View: 1935
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Handbook of Differential Equations, Second Edition is a handy reference to many popular techniques for solving and approximating differential equations, including numerical methods and exact and approximate analytical methods. Topics covered range from transformations and constant coefficient linear equations to Picard iteration, along with conformal mappings and inverse scattering. Comprised of 192 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.

Partielle Differentialgleichungen

Partielle Differentialgleichungen

Eine Einführung

  • Author: Walter A. Strauss
  • Publisher: Springer-Verlag
  • ISBN: 366312486X
  • Category: Mathematics
  • Page: 458
  • View: 5218
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Dieses Buch ist eine umfassende Einführung in die klassischen Lösungsmethoden partieller Differentialgleichungen. Es wendet sich an Leser mit Kenntnissen aus einem viersemestrigen Grundstudium der Mathematik (und Physik) und legt seinen Schwerpunkt auf die explizite Darstellung der Lösungen. Es ist deshalb besonders auch für Anwender (Physiker, Ingenieure) sowie für Nichtspezialisten, die die Methoden der mathematischen Physik kennenlernen wollen, interessant. Durch die große Anzahl von Beispielen und Übungsaufgaben eignet es sich gut zum Gebrauch neben Vorlesungen sowie zum Selbststudium.

Sturm-Liouville Operators and Applications

Sturm-Liouville Operators and Applications

  • Author: V.A. Marchenko
  • Publisher: Springer-Verlag
  • ISBN: 3034854854
  • Category: Juvenile Nonfiction
  • Page: 367
  • View: 7570
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Vorlesungen über Funktionalgleichungen und ihre Anwendungen

Vorlesungen über Funktionalgleichungen und ihre Anwendungen

  • Author: J. Aczel
  • Publisher: Springer-Verlag
  • ISBN: 3034869045
  • Category: Juvenile Nonfiction
  • Page: 333
  • View: 8460
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Physics of Fully Ionized Gases

Physics of Fully Ionized Gases

Second Revised Edition

  • Author: Lyman Spitzer
  • Publisher: Courier Corporation
  • ISBN: 0486151581
  • Category: Science
  • Page: 192
  • View: 3496
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An introductory course in theoretical physics is the sole prerequisite for this general but simple introduction to the fields of plasma and fusion research. 1962 edition.

The Geometry of René Descartes

The Geometry of René Descartes

with a Facsimile of the First Edition

  • Author: René Descartes
  • Publisher: Courier Corporation
  • ISBN: 0486158179
  • Category: Mathematics
  • Page: 272
  • View: 8075
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The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.

An Introduction to the Theory of Elasticity

An Introduction to the Theory of Elasticity

  • Author: R. J. Atkin,N. Fox
  • Publisher: Courier Corporation
  • ISBN: 0486150992
  • Category: Science
  • Page: 272
  • View: 9822
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Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.

Atomic Physics: 8th Edition

Atomic Physics: 8th Edition

  • Author: Max Born
  • Publisher: Courier Corporation
  • ISBN: 0486318583
  • Category: Science
  • Page: 544
  • View: 6707
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Nobel Laureate's lucid treatment of kinetic theory of gases, elementary particles, nuclear atom, wave-corpuscles, atomic structure and spectral lines, much more. Over 40 appendices, bibliography.

Curvature in Mathematics and Physics

Curvature in Mathematics and Physics

  • Author: Shlomo Sternberg
  • Publisher: Courier Corporation
  • ISBN: 0486292711
  • Category: Mathematics
  • Page: 416
  • View: 1608
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Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.

Selected Papers on Noise and Stochastic Processes

Selected Papers on Noise and Stochastic Processes

  • Author: Nelson Wax
  • Publisher: Courier Corporation
  • ISBN: 0486798267
  • Category: Technology & Engineering
  • Page: 352
  • View: 7951
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These six classic papers on stochastic process were selected to meet the needs of professionals and advanced undergraduates and graduate students in physics, applied mathematics, and engineering. Contents include: "Stochastic Problems in Physics and Astronomy" by S. Chandrasekhar from Reviews of Modern Physics, Vol. 15, No. 1 "On the Theory of Brownian Motion" by G. E. Uhlenbeck and L. S. Ornstein from Physical Review, Vol. 36, No. 3 "On the Theory of the Brownian Motion II" by Ming Chen Wang and G. E. Uhlenbeck from Reviews of Modern Physics, Vol. 17, Nos. 2 and 3 "Mathematical Analysis of Random Noise" by S. O. Rice from Bell System Technical Journal, Vols. 23 and 24 "Random Walk and the Theory of Brownian Motion" by Mark Kac from American Mathematical Monthly, Vol. 54, No. 7 "The Brownian Movement and Stochastic Equations" by J. L. Doob from Annals of Mathematics, Vol. 43, No. 2

An Introduction to Differential Geometry

An Introduction to Differential Geometry

  • Author: T. J. Willmore
  • Publisher: Courier Corporation
  • ISBN: 0486282104
  • Category: Mathematics
  • Page: 336
  • View: 9059
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This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.

Mathematical Logic

Mathematical Logic

  • Author: Stephen Cole Kleene
  • Publisher: Courier Corporation
  • ISBN: 0486317072
  • Category: Mathematics
  • Page: 416
  • View: 768
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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

A Bridge to Advanced Mathematics

A Bridge to Advanced Mathematics

  • Author: Dennis Sentilles
  • Publisher: Courier Corporation
  • ISBN: 0486277585
  • Category: Mathematics
  • Page: 416
  • View: 1645
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This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.

Finite-Elemente-Methoden

Finite-Elemente-Methoden

  • Author: Klaus-Jürgen Bathe
  • Publisher: Springer Verlag
  • ISBN: 9783540668060
  • Category: Technology & Engineering
  • Page: 1253
  • View: 5883
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Dieses Lehr- und Handbuch behandelt sowohl die elementaren Konzepte als auch die fortgeschrittenen und zukunftsweisenden linearen und nichtlinearen FE-Methoden in Statik, Dynamik, Festkörper- und Fluidmechanik. Es wird sowohl der physikalische als auch der mathematische Hintergrund der Prozeduren ausführlich und verständlich beschrieben. Das Werk enthält eine Vielzahl von ausgearbeiteten Beispielen, Rechnerübungen und Programmlisten. Als Übersetzung eines erfolgreichen amerikanischen Lehrbuchs hat es sich in zwei Auflagen auch bei den deutschsprachigen Ingenieuren etabliert. Die umfangreichen Änderungen gegenüber der Vorauflage innerhalb aller Kapitel - vor allem aber der fortgeschrittenen - spiegeln die rasche Entwicklung innerhalb des letzten Jahrzehnts auf diesem Gebiet wieder.

CRC Handbook of Lie Group Analysis of Differential Equations

CRC Handbook of Lie Group Analysis of Differential Equations

Applications in Engineering and Physical Sciences

  • Author: Nail H. Ibragimov
  • Publisher: CRC Press
  • ISBN: 9780849328640
  • Category: Mathematics
  • Page: 576
  • View: 8753
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Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments and numerous applications which span a period of more than 100 years. As a result, this reference is up to date, with the latest information on the group theoretic methods used frequently in mathematical physics and engineering. Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, and multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups and solutions for linear equations of mathematical physics, classical field theory, viscous and non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), and nonlinear optics and acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification and invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations.