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Item Details
Title: LINEAR DIFFERENTIAL OPERATORS
By: Cornelius Lanczos, Robert O'Malley
Format: Paperback

List price: £93.50


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ISBN 10: 0898713706
ISBN 13: 9780898713701
Publisher: SOCIETY FOR INDUSTRIAL & APPLIED MATHEMATICS,U.S.
Pub. date: 1 January, 1987
Series: Classics in Applied Mathematics v. 18
Pages: 581
Description: If you are interested in numerical analysis, applied mathematics, or the solution procedures for differential equations, this is the book for you. Because of Lanczos's unique style of describing mathematical facts in non-mathematical language, it will also be helpful to non-mathematicians interested in applying the methods and techniques described.
Synopsis: Don't let the title fool you! If you are interested in numerical analysis, applied mathematics, or the solution procedures for differential equations, you will find this book useful. Because of Lanczos's unique style of describing mathematical facts in nonmathematical language, Linear Differential Operators also will be helpful to nonmathematicians interested in applying the methods and techniques described. Originally published in 1961, this Classics edition continues to be appealing because it describes a large number of techniques still useful today. Although the primary focus is on the analytical theory, concrete cases are cited to forge the link between theory and practice. Considerable manipulative skill in the practice of differential equations is to be developed by solving the 350 problems in the text. The problems are intended as stimulating corollaries linking theory with application and providing the reader with the foundation for tackling more difficult problems.Lanczos begins with three introductory chapters that explore some of the technical tools needed later in the book, and then goes on to discuss interpolation, harmonic analysis, matrix calculus, the concept of the function space, boundary value problems, and the numerical solution of trajectory problems, among other things. The emphasis is constantly on one question: "What are the basic and characteristic properties of linear differential operators?" In the author's words, this book is written for those "to whom a problem in ordinary or partial differential equations is not a problem of logical acrobatism, but a problem in the exploration of the physical universe. To get an explicit solution of a given boundary value problem is in this age of large electronic computers no longer a basic question. But of what value is the numerical answer if the scientist does not understand the peculiar analytical properties and idiosyncrasies of the given operator? The author hopes that this book will help in this task by telling something about the manifold aspects of a fascinating field.
Illustrations: index
Publication: US
Imprint: Society for Industrial & Applied Mathematics,U.S.
Returns: Non-returnable
Some other items by this author:
A SURVEY OF LIE GROUPS AND LIE ALGEBRAS WITH APPLICATIONS AND COMPUTATIONAL METHODS (PB)
AN INTRODUCTION TO INVARIANT EMBEDDING (PB)
AN INTRODUCTION TO VARIATIONAL INEQUALITIES AND THEIR APPLICATIONS (PB)
APPLIED ANALYSIS (PB)
ASYMPTOTIC APPROXIMATIONS OF INTEGRALS (PB)
BASIC CONCEPTS OF PROBABILITY AND STATISTICS (PB)
BOUNDARY VALUE PROBLEMS OF MATHEMATICAL PHYSICS (PB)
CONVEX ANALYSIS AND VARIATIONAL PROBLEMS (PB)
DISCOURSE ON FOURIER SERIES (PB)
DYNAMIC NONCOOPERATIVE GAME THEORY (PB)
FINITE ELEMENT SOLUTION OF BOUNDARY VALUE PROBLEMS (PB)
HISTORICAL DEVELOPMENTS IN SINGULAR PERTURBATIONS (HB)
INITIAL-BOUNDARY VALUE PROBLEMS AND THE NAVIER-STOKES EQUATIONS (PB)
INTERATIVE SOLUTION OF NONLINEAR EQUATIONS IN SEVERAL VARIABLES (PB)
INTRODUCTION TO MATRIX ANALYSIS (PB)
INTRODUCTION TO NUMERICAL CONTINUATION METHODS (PB)
JUDAISM AND SCIENCE (PB)
LANCZOS ALGORITHMS FOR LARGE SYMMETRIC EIGENVALUE COMPUTATIONS (PB)
LINEAR DIFFERENTIAL OPERATORS
MATHEMATICAL ANALYSIS OF VISCOELASTIC FLOWS (PB)
MATHEMATICAL MODELS (PB)
MATHEMATICAL MODELS IN BIOLOGY (PB)
MATHEMATICAL OPTIMIZATION AND ECONOMIC THEORY (PB)
MATHEMATICAL THEORY OF RELIABILITY (PB)
MATHEMATICS APPLIED TO DETERMINISTIC PROBLEMS IN THE NATURAL SCIENCES (PB)
METHODS OF MATHEMATICAL ECONOMICS (PB)
MULTIPLE DECISION PROCEDURES (PB)
NON-LINEAR SYSTEMS ANALYSIS (PB)
NONLINEAR PROGRAMMING (PB)
NONLINEAR PROGRAMMING (PB)
NUMERICAL ANALYSIS (PB)
NUMERICAL METHODS FOR UNCONSTRAINED OPTIMIZATION AND NONLINEAR EQUATIONS (PB)
OPTIMAL DESIGN OF EXPERIMENTS (PB)
ORDINARY DIFFERENTIAL EQUATIONS (PB)
ORDINARY DIFFERENTIAL EQUATIONS (PB)
ORDINARY DIFFERENTIAL EQUATIONS IN THEORY AND PRACTICE (PB)
PERTURBATIONS: THEORY AND METHODS (PB)
PRINCIPLES OF COMPUTERIZED TOMOGRAPHIC IMAGING (PB)
STATISTICAL DESIGN AND ANALYSIS OF EXPERIMENTS (PB)
STOCHASTIC PROCESSES (PB)
THE FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS (PB)
THE MATHEMATICS OF COMPUTERIZED TOMOGRAPHY (PB)
THE SYMMETRIC EIGENVALUE PROBLEM (PB)
THE VARIATIONAL PRINCIPLES OF MECHANICS (PB)
THE VARIATIONAL PRINCIPLES OF MECHANICS (PB)
TIME SERIES (PB)

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