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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;...


Ordinary Differential Equations

by Edward L. Ince

Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments;...


Infinitesimal Calculus

by James M. Henle & Eugene M. Kleinberg

Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite...


Elementary Matrix Algebra

by Franz E. Hohn

This treatment starts with basics and progresses to sweepout process for obtaining complete solution of any given system of linear equations and role of matrix algebra in presentation of useful geometric ideas,...


Advanced Calculus: An Introduction to Classical Analysis

by Louis Brand

A course in analysis that focuses on the functions of a real variable, this text introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, theorems, and proofs....


Calculus of Variations

by Robert Weinstock

Basic introduction covering isoperimetric problems, theory of elasticity, quantum mechanics, electrostatics, geometrical optics, particle dynamics, more. Exercises throughout. "A very useful book." — J. L....


An Introduction to Algebraic Topology

by Andrew H. Wallace

This self-contained treatment begins with three chapters on the basics of point-set topology, after which it proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes....


Real Analysis

by Edward James McShane & Truman Arthur Botts

This text surveys practical elements of real function theory, general topology, and functional analysis. Discusses the maximality principle, the notion of convergence, the Lebesgue-Stieltjes integral, function...