Modern Nonlinear Equations

Author: Thomas L. Saaty
Publisher: Courier Corporation
ISBN: 0486143767
Size: 74.82 MB
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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.

Introduction To Nonlinear Differential And Integral Equations

Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Size: 32.94 MB
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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

Partial Differential Equations Iii

Author: Michael Taylor
Publisher: Springer Science & Business Media
ISBN: 9781441970497
Size: 45.35 MB
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The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis

Integral Equations

Author: F. G. Tricomi
Publisher: Courier Corporation
ISBN: 0486158306
Size: 69.20 MB
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Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.

Nonlinear Functional Analysis

Author: Klaus Deimling
Publisher: Courier Corporation
ISBN: 0486132358
Size: 23.25 MB
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This text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. 1985 edition.

Finite Difference Equations

Author: Hyman Levy
Publisher: Courier Corporation
ISBN: 0486672603
Size: 69.58 MB
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Comprehensive study focuses on use of calculus of finite differences as an approximation method for solving troublesome differential equations. Elementary difference operations; interpolation and extrapolation; modes of expansion of the solutions of nonlinear equations, applications of difference equations, difference equations associated with functions of two variables, more. Exercises with answers. 1961 edition.

Concepts Of Modern Mathematics

Author: Ian Stewart
Publisher: Courier Corporation
ISBN: 0486134954
Size: 70.88 MB
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In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Partial Differential Equations Of Parabolic Type

Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 0486318265
Size: 24.21 MB
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With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.

Lectures On Ordinary Differential Equations

Author: Witold Hurewicz
Publisher: Courier Corporation
ISBN: 048679721X
Size: 40.50 MB
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Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.

Ordinary Differential Equations

Author: Jack K. Hale
Publisher: Courier Corporation
ISBN: 0486472116
Size: 17.46 MB
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This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.