Search Results for "modern-methods-in-partial-differential-equations-dover-books-on-mathematics"

Modern Methods in Partial Differential Equations

Modern Methods in Partial Differential Equations

  • Author: Martin Schechter
  • Publisher: Courier Corporation
  • ISBN: 0486492966
  • Category: Mathematics
  • Page: 256
  • View: 7613
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When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.

Abstract Methods in Partial Differential Equations

Abstract Methods in Partial Differential Equations

  • Author: Robert W. Carroll,Mathematics
  • Publisher: Courier Corporation
  • ISBN: 0486488357
  • Category: Mathematics
  • Page: 374
  • View: 3533
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This self-contained text is directed to graduate students with some previous exposure to classical partial differential equations. Readers can attain a quick familiarity with various abstract points of view in partial differential equations, allowing them to read the literature and begin thesis work. The author's detailed presentation requires no prior knowledge of many mathematical subjects and illustrates the methods' applicability to the solution of interesting differential problems. The treatment emphasizes existence-uniqueness theory as a topic in functional analysis and examines abstract evolution equations and ordinary differential equations with operator coefficients. A concluding chapter on global analysis develops some basic geometrical ideas essential to index theory, overdetermined systems, and related areas. In addition to exercises for self-study, the text features a thorough bibliography. Appendixes cover topology and fixed-point theory in addition to Banach algebras, analytic functional calculus, fractional powers of operators, and interpolation theory.

Partielle Differentialgleichungen und numerische Methoden

Partielle Differentialgleichungen und numerische Methoden

  • Author: Stig Larsson,Vidar Thomee
  • Publisher: Springer-Verlag
  • ISBN: 3540274227
  • Category: Mathematics
  • Page: 272
  • View: 9816
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Das Buch ist für Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Für jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthält der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem für gewöhnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabhängigen Problemen ein Kapitel zum Anfangswertproblem für gewöhnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in Analysis und Funktionalanalysis voraus. Das erforderliche Grundwissen über lineare Funktionalanalysis und Sobolev-Räume wird im Anhang im Überblick besprochen.

Aufbaukurs Funktionalanalysis und Operatortheorie

Aufbaukurs Funktionalanalysis und Operatortheorie

Distributionen - lokalkonvexe Methoden - Spektraltheorie

  • Author: Winfried Kaballo
  • Publisher: Springer-Verlag
  • ISBN: 3642377947
  • Category: Mathematics
  • Page: 493
  • View: 2455
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In diesem Buch finden Sie eine Einführung in die Funktionalanalysis und Operatortheorie auf dem Niveau eines Master-Studiengangs. Ausgehend von Fragen zu partiellen Differenzialgleichungen und Integralgleichungen untersuchen Sie lineare Gleichungen im Hinblick auf Existenz und Struktur von Lösungen sowie deren Abhängigkeit von Parametern. Dazu lernen Sie verschiedene Konzepte und Methoden kennen: Distributionen, Fourier-Transformation, Sobolev-Räume, Dualitätstheorie im Rahmen lokalkonvexer Räume, topologische Tensorprodukte, exakte Sequenzen, Banachalgebren, Fredholmoperatoren, Funktionalkalküle sowie selbstadjungierte Operatoren und ihre Rolle in der Quantenmechanik. Das Buch ist ausführlich und leicht verständlich geschrieben, die Konzepte und Resultate werden durch Abbildungen und viele Beispiele illustriert. Anhand zahlreicher Übungsaufgaben (mit Lösungen auf der Website zum Buch) können Sie Ihr Verständnis des Stoffes testen, anhand anderer diesen selbstständig weiterentwickeln.

Hilbert Space Methods in Partial Differential Equations

Hilbert Space Methods in Partial Differential Equations

  • Author: Ralph E. Showalter
  • Publisher: Courier Corporation
  • ISBN: 0486135799
  • Category: Mathematics
  • Page: 224
  • View: 8960
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This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.

Partial Differential Equations of Mathematical Physics and Integral Equations

Partial Differential Equations of Mathematical Physics and Integral Equations

  • Author: Ronald B. Guenther,John W. Lee
  • Publisher: Courier Corporation
  • ISBN: 0486137627
  • Category: Mathematics
  • Page: 576
  • View: 4179
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Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.

Partial Differential Equations for Scientists and Engineers

Partial Differential Equations for Scientists and Engineers

  • Author: Stanley J. Farlow
  • Publisher: Courier Corporation
  • ISBN: 0486134733
  • Category: Mathematics
  • Page: 414
  • View: 8127
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Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.

Lectures on Cauchy's Problem in Linear Partial Differential Equations

Lectures on Cauchy's Problem in Linear Partial Differential Equations

  • Author: Jacques Hadamard
  • Publisher: Courier Corporation
  • ISBN: 9780486495491
  • Category: Mathematics
  • Page: 316
  • View: 1266
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Basing his research on prior studies by Riemann, Kirchhoff, and Volterra, the author extends and improves Volterra's work, applying its theories relating to spherical and cylindrical waves to all normal hyperbolic equations. 1923 edition.

Partial Differential Equations

Partial Differential Equations

An Introduction

  • Author: David Colton
  • Publisher: Courier Corporation
  • ISBN: 0486138437
  • Category: Mathematics
  • Page: 320
  • View: 7022
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This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.

Partial Differential Equations

Partial Differential Equations

An Introduction

  • Author: Günter Hellwig
  • Publisher: Springer-Verlag
  • ISBN: 3663110028
  • Category: Technology & Engineering
  • Page: 259
  • View: 8286
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Mathematical Methods in Physics and Engineering

Mathematical Methods in Physics and Engineering

  • Author: John W. Dettman
  • Publisher: Courier Corporation
  • ISBN: 9780486656496
  • Category: Technology & Engineering
  • Page: 428
  • View: 2822
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Algebraically based approach to vectors, mapping, diffraction, and other topics in applied math also covers generalized functions, analytic function theory, and more. Additional topics include sections on linear algebra, Hilbert spaces, calculus of variations, boundary value problems, integral equations, analytic function theory, and integral transform methods. Exercises. 1969 edition.

Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications

  • Author: E. C. Zachmanoglou,Dale W. Thoe
  • Publisher: Courier Corporation
  • ISBN: 048613217X
  • Category: Mathematics
  • Page: 432
  • View: 8218
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This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Modern Nonlinear Equations

Modern Nonlinear Equations

  • Author: Thomas L. Saaty
  • Publisher: Courier Corporation
  • ISBN: 0486143767
  • Category: Mathematics
  • Page: 496
  • View: 8188
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Covers major types of classical equations: operator, functional, difference, integro-differential, and more. Suitable for graduate students as well as scientists, technologists, and mathematicians. "A welcome contribution." — Math Reviews. 1964 edition.

Partielle Differentialgleichungen

Partielle Differentialgleichungen

Eine Einführung

  • Author: Walter A. Strauss
  • Publisher: Springer-Verlag
  • ISBN: 366312486X
  • Category: Mathematics
  • Page: 458
  • View: 4803
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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.

Modern Mathematics for the Engineer: First Series

Modern Mathematics for the Engineer: First Series

  • Author: Edwin F. Beckenbach,Royal Weller
  • Publisher: Courier Corporation
  • ISBN: 0486497461
  • Category: Technology & Engineering
  • Page: 514
  • View: 1940
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This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community, focusing on material relevant to solving the kinds of problems regularly confronted. Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. Contributors include Solomon Lefschetz, Richard Courant, and Norbert Wiener. 1956 edition.

Ordinary Differential Equations

Ordinary Differential Equations

  • Author: Edward L. Ince
  • Publisher: Courier Corporation
  • ISBN: 0486158217
  • Category: Mathematics
  • Page: 576
  • View: 7799
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Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; much more. "Highly recommended" — Electronics Industries.

Applied Complex Variables

Applied Complex Variables

  • Author: John W. Dettman
  • Publisher: Courier Corporation
  • ISBN: 0486158284
  • Category: Mathematics
  • Page: 512
  • View: 5093
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Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications

  • Author: Stanley J. Farlow
  • Publisher: Dover Publications
  • ISBN: N.A
  • Category: Mathematics
  • Page: 640
  • View: 8230
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Intended for use in a beginning one-semester course in differential equations, this text is designed for students of pure and applied mathematics with a working knowledge of algebra, trigonometry, and elementary calculus. Its mathematical rigor is balanced by complete but simple explanations that appeal to readers' physical and geometric intuition. Starting with an introduction to differential equations, the text proceeds to examinations of first- and second-order differential equations, series solutions, the Laplace transform, systems of differential equations, difference equations, nonlinear differential equations and chaos, and partial differential equations. Numerous figures, problems with solutions, and historical notes clarify the text.

Numerical Solution of Partial Differential Equations by the Finite Element Method

Numerical Solution of Partial Differential Equations by the Finite Element Method

  • Author: Claes Johnson
  • Publisher: Courier Corporation
  • ISBN: 0486131599
  • Category: Mathematics
  • Page: 288
  • View: 5211
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An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.

Partial Differential Equations in Mechanics 2

Partial Differential Equations in Mechanics 2

The Biharmonic Equation, Poisson's Equation

  • Author: A.P.S. Selvadurai
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540672845
  • Category: Mathematics
  • Page: 698
  • View: 7614
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This two-volume work mainly addresses undergraduate and gra- duate students in the engineering sciences and applied ma- thematics. Hence it focuses on partial differential equati- ons with a strong emphasis on illustrating important appli- cations in mechanics. The presentation considers the general derivation of partial differential equations and the formu- lation of consistent boundary and initial conditions requi- red to develop well-posed mathematical statements of pro- blems in mechanics. The worked examples within the text and problem sets at the end of each chapter highlight enginee- ring applications. The mathematical developments include a complete discussion of uniqueness theorems and, where rele- vant, a discussion of maximum and miniumum principles. The primary aim of these volumes is to guide the student to pose and model engineering problems, in a mathematically correct manner, within the context of the theory of partial differential equations in mechanics.