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Showing: 41-50 results of 142

Excellent text provides basis for thorough understanding of the problems, methods, and techniques of the calculus of variations and prepares readers for the study of modern optimal control theory. Treatment limited to extensive coverage of single integral problems in one and more unknown functions. Carefully chosen variational problems and over 400 exercises. 1969 edition. Bibliography.

Set theory permeates much of contemporary mathematical thought. This text for undergraduates offers a natural introduction, developing the subject through observations of the physical world. Its progressive development leads from finite sets to cardinal numbers, infinite cardinals, and ordinals. Exercises appear throughout the text, with answers at the end. 1958 edition.

This unified treatment of probability and statistics examines discrete and continuous models, functions of random variables and random vectors, large-sample theory, general methods of point and interval estimation and testing hypotheses, plus analysis of data and variance. Hundreds of problems (some with solutions), examples, and diagrams. 1984 edition. Includes 144 figures and 35 tables.

Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Subjects include simple roots and the Cartan matrix, the classical and exceptional Lie algebras, the Weyl group, and more. 1984 edition.

This classic treatment covers most aspects of first-order model theory and many of its applications to algebra and set theory. Extensively updated and corrected in 1990 to accommodate the most recent developments, including classification theory and nonstandard analysis, this third edition of the bestselling text added entirely new sections, exercises, and references. 1990 edition.

Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, the technique of continuous analysical continuation, the phenomena of the phase plane, nonlinear mechanics, nonlinear integral equations, problems from the calculus of variations and more. 1960 edition. Includes 137 problems.

This text remains one of the clearest, most authoritative and most accurate works in the field. The standard history treats hundreds of figures and schools instrumental in the development of mathematics, from the Phoenicians to such 19th-century giants as Grassman, Galois, and Riemann.

This classic undergraduate text acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many historical figures from the 18th through the mid-20th centuries, it examines the axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and other topics. 1965 second edition.

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Major focus on stability theory and its applications to oscillation phenomena, self-excited oscillations and regulator problem of Lurie. Bibliography. Exercises.

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 the definitive work on the subject. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications. 1974 edition.