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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...


Topology

by John G. Hocking & Gail S. Young

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


Calculus Refresher

by A. A. Klaf

Unique refresher covers important aspects of integral and differential calculus via 756 questions. Features constants, variables, functions, increments, derivatives, differentiation, more. A 50-page section...


Games and Decisions: Introduction and Critical Survey

by R. Duncan Luce & Howard Raiffa

Superb non-technical introduction to game theory, primarily applied to social sciences. Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games,...


Boolean Algebra

by R. L. Goodstein

This elementary treatment by a distinguished mathematician employs Boolean algebra as a simple medium for introducing important concepts of modern algebra. Numerous examples appear throughout the text, plus...


Existence Theorems for Ordinary Differential Equations

by Francis J. Murray & Kenneth S. Miller

This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition....


Proof in Geometry: With "Mistakes in Geometric Proofs"

by A. I. Fetisov & Ya. S. Dubnov

This single-volume compilation of 2 books explores the construction of geometric proofs. It offers useful criteria for determining correctness and presents examples of faulty proofs that illustrate common errors....


Nonlinear Functional Analysis

by Klaus Deimling

This text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. 1985...


Statistical and Inductive Probabilities

by Hugues Leblanc

This treatment addresses a decades-old dispute among probability theorists, asserting that both statistical and inductive probabilities may be treated as sentence-theoretic measurements, and that the latter...


The Geometry of Geodesics

by Herbert Busemann

A comprehensive approach to qualitative problems in intrinsic differential geometry, this text examines Desarguesian spaces, perpendiculars and parallels, covering spaces, the influence of the sign of the curvature...


Applied Iterative Methods

by Louis A. Hageman & David M. Young

This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. 1981 edition....


Introduction to Abstract Harmonic Analysis

by Lynn H. Loomis

Written by a prominent figure in the field of harmonic analysis, this classic monograph is geared toward advanced undergraduates and graduate students and focuses on methods related to Gelfand's theory of Banach...


Advances in Computers

by Ali Hurson

Since its first volume in 1960, Advances in Computers has presented detailed coverage of innovations in computer hardware, software, theory, design, and applications. It has also provided contributors with a...


Introduction to Probability Models

by Sheldon M. Ross

Sheldon Ross's classic bestseller, Introduction to Probability Models, has been used extensively by professionals and as the primary text for a first undergraduate course in applied probability. It introduces...