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Introduction to the Calculus of Variations

by Hans Sagan

Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition....


Topological Vector Spaces and Distributions

by John Horvath

Precise exposition provides an excellent summary of the modern theory of locally convex spaces and develops the theory of distributions in terms of convolutions, tensor products, and Fourier transforms. 1966...


Tensor and Vector Analysis: With Applications to Differential Geometry

by C. E. Springer

Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry....


Lie Algebras

by Nathan Jacobson

Definitive treatment of important subject in modern mathematics. Covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras...


Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

by A. A. Sveshnikov

Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.


Introduction to Non-Euclidean Geometry

by Harold E. Wolfe

College-level text for elementary courses covers the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Appendixes offer background on Euclidean geometry....


Permutation Groups

by Donald S. Passman

Lecture notes by a prominent authority provide a self-contained account of classification theorems. Includes work of Zassenhaus on Frobenius elements and sharply transitive groups, Huppert's theorem, more. 1968...


Model Theory: Third Edition

by C.C. Chang & H. Jerome Keisler

This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and...


The European Mathematical Awakening: A Journey Through the History of Mathematics from 1000 to 1800

by Frank J. Swetz

A global survey of the history of mathematics, this collection of 32 articles traces the subject from AD 1000 to 1800. Newly corrected and updated essays introduce fascinating studies by Fibonacci, Descartes,...


A Treatise on Probability

by John Maynard Keynes

Originally published in 1921, this mathematical work represents a significant contribution to the logical probability of propositions. Keynes effectively dismantled the classical theory, launching the "logical-relationist"...


Topics in Number Theory, Volumes I and II

by William J. LeVeque

Classic 2-part work now available in a single volume. Contents range from chapters on binary quadratic forms to the Thue-Siegel-Roth Theorem and the Prime Number Theorem. Includes problems and solutions. 1956...


Introduction to Partial Differential Equations and Hilbert Space Methods

by Karl E. Gustafson

Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester...


Statistical Inference

by Vijay K. Rohatgi

This treatment of probability and statistics examines discrete and continuous models, functions of random variables and random vectors, large-sample theory, more. Hundreds of problems (some with solutions)....


Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions

by Orin J. Farrell & Bertram Ross

Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. 1971 edition.


Functional Analysis: Theory and Applications

by R.E. Edwards

Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples...


Combinatorial Optimization: Networks and Matroids

by Eugene Lawler

Perceptive text examines shortest paths, network flows, bipartite and nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. Suitable for courses in...


Advanced Trigonometry

by C. V. Durell & A. Robson

This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes...


A Brief Introduction to Theta Functions

by Richard Bellman

Brief but intriguing monograph on the theory of elliptic functions, written by a prominent mathematician. Spotlights high points of the fundamental regions and illustrates powerful, versatile analytic methods....


The Qualitative Theory of Ordinary Differential Equations: An Introduction

by Fred Brauer & John A. Nohel

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications...


Experimental Statistics

by Mary Gibbons Natrella

A handbook for those seeking engineering information and quantitative data for designing, developing, constructing, and testing equipment. Covers the planning of experiments, the analyzing of extreme-value data;...