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.