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Showing: 41-50 results of 142

Complete works of ancient geometer in highly accessible translation by distinguished scholar. Topics include the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a circle; the properties of conoids, spheroids, and spirals; and the quadrature of the parabola. Informative introduction and 52-page supplement.

Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.

One of the 18th century's greatest mathematicians, Lagrange made significant contributions to analysis and number theory. He delivered these lectures on arithmetic, algebra, and geometry at the Ă‰cole Normale, a training school for teachers. An exemplar among elementary expositions, they feature both originality of thought and elegance of expression.

This superb text offers a thorough background in elementary point set topology. Topics include sets and functions, groups, metric spaces, topologies, topological groups, compactness and connectedness, function spaces, the fundamental group, the fundamental group of the circle, locally isomorphic groups, and more. Exercises and problems appear throughout the text. 1967 edition.

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.