" An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elemen
Functional analysis provides a concise conceptual framework for linear control theory. This self-contained text, geared toward engineering students, demonstrates the subject's unity. A wide range of p
Hailed as "eminently suitable as a text for a graduate course" by the Bulletin of the American Mathematical Society, this volume offers a survey of the main ideas, concepts, and methods that constitut
Excellent treatment of subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed, metric sp
Classic exposition of modern theories of differentiation and integration and the principal problems and methods of handling integral equations and linear functionals and transformations. Topics includ
The first self-contained introduction to techniques of model theory, this 2002 text presents material still not readily available elsewhere, including Krivine's theorem and the Krivine-Maurey theorem
Numerous examples highlight this treatment of the use of linear quadratic Gaussian methods for control system design. It explores linear optimal control theory from an engineering viewpoint, with illu
Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Nearly
Useful as both a text and a reference, this book provides help to research analysts, applied mathematicians, economists, and statisticians. Gass (professor emeritus, business, University of Maryland)
Thisintroductory text examines many important applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Discusses distribution theory, Green's func
Excellent advanced-undergraduate and graduate text covers norms, numerical solutions of linear systems and matrix factoring, eigenvalues and eigenvectors, polynomial approximation, much more. Feature
Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of d
A unique text and reference for pure and applied mathematicians, engineers, physicists, and chemists, this book was a landmark in the literature of computational methods in mathematical physics in the
Designed for undergraduate mathematics majors, this introductory treatment is based on the distinguished author's lecture notes. The self-contained exposition of Gelfand's proof of Wiener's theorem ex
Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in n
Based on the authors' courses and lectures, this 2-volume advanced-level text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure
Anderson and Hall (mathematics, State U. of New York-Harper College) designed a course, and this accompanying text, for sophomore students to take after they had completed the calculus sequence but be
Created by the founder of modern functional analysis, this is the first text on the theory of linear operators, written in 1932 and translated into English in 1987. In addition to the basics of the al
This remarkable book develops the subject of linear algebra in a novel fashion. A logically interconnected sequence of propositions and problemssome 2,400 in allappears without proofs. Assisted only b
Includes practical elements of matrix theory, continuous multivariate distributions and basic multivariate statistics in the normal distribution; regression and the analysis of variance; factor analys
As an introduction to harmonic analysis for graduate students, Torchinsky (Indiana University) examines the convergence of Fourier series of functions and distributions, then develops the Muckenhoupt
This graduate textbook derives the theory of convex sets and functions, convex programming, nonlinear convex duality, and generalized convexity, then introduces numerical solution techniques for nonli
Text for students without in-depth mathematical training, this text includes a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theo
This concise introduction to the concepts of viscoelasticity focuses on stress analysis. Three detailed individual sections present examples of stress-related problems. In addition, it explains proced
Introductory treatment covers basic theory of vector spaces and linear maps — dimension, determinants, eigenvalues, and eigenvectors — plus more advanced topics such as the study of canonical forms f
An eminent electrical engineer presents this advanced treatise, which approaches the subject from the viewpoint of classical dynamics and covers Fourier methods. Suitable for upper-level undergraduate
This introduction to linear algebra and functional analysis offers a clear expository treatment, viewing algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects.
The Bulletin of the American Mathematical Society acclaimed this text as "a welcome addition" to the literature of nonstandard analysis, a field related to number theory, algebra, and topology. The fi
A textbook for a one-semester, first-year graduate course for mathematics students familiar with the fundamentals of matrix theory, real analysis, complex variable theory, and numerical analysis. The
This classic offers a meticulous account of the theory of finite elasticity. It covers the application of the theory to the solution of boundary-value problems, as well asthe analysis of the mec
Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues and differential equations. Numerous exercises, both
Suitable for advanced undergraduate and graduate courses in functional analysis, this volume is also a valuable resource for researchers in Fredholm theory, Banach algebras, and multiparameter spectra
This text covers the basic theory and computation for a first course in linear programming, including substantial material on mathematical proof techniques and sophisticated computation methods. Inclu
"This well-rounded, thorough treatment for advanced undergraduates and graduate students introduces basic concepts of mathematical physics involved in the study of linear systems. The text emphasizes
This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. The three-part treatment consists of roots and extremal probl
This high-level text explains the mathematics behind basic circuit theory. It covers matrix algebra, which provides a general means of formulating the details of a linear system. In addition, the auth
Suitable for advanced undergraduates and graduate students, this text introduces basic concepts of linear algebra. Each chapter contains an introduction, definitions, and propositions, in addition to
Derived from the techniques of analytic number theory, sieve theory employs methods from mathematical analysis to solve number-theoretical problems. This text by a noted pair of experts is regarded as
This definitive look at modern analysis includes applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. The self-contai
