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.