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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: 7104
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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: 1361
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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.

A First Course in Partial Differential Equations with Complex Variables and Transform Methods

A First Course in Partial Differential Equations with Complex Variables and Transform Methods

  • Author: Hans F. Weinberger
  • Publisher: Courier Corporation
  • ISBN: 9780486686400
  • Category: Mathematics
  • Page: 446
  • View: 6165
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Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Topics include one-dimensional wave equation, properties of elliptic and parabolic equations, separation of variables and Fourier series, nonhomogeneous problems, and analytic functions of a complex variable. Solutions. 1965 edition.

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: 3414
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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 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: 2424
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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.

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: 5920
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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.

Numerical Methods for Partial Differential Equations

Numerical Methods for Partial Differential Equations

An Introduction

  • Author: Vitoriano Ruas
  • Publisher: John Wiley & Sons
  • ISBN: 1119111374
  • Category: Technology & Engineering
  • Page: 376
  • View: 8410
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Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified. Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE’s. Key features: A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use New techniques are employed to derive known results, thereby simplifying their proof Supplementary material is available from a companion website.

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: 6576
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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.

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: 3192
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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.

Partial Differential Equations

Partial Differential Equations

An Introduction

  • Author: David Colton
  • Publisher: Courier Corporation
  • ISBN: 0486138437
  • Category: Mathematics
  • Page: 320
  • View: 2484
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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.