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BOOKS


TOPOLOGICAL UNIFORM STRUCTURES, Wiley Interscience (1978); Reprint, Dover Publications, (1989).

This volume attempts to give a thorough and fully detailed account of topologies compatible with increasingly enriched algebraic structures.

Chapter I  Uniform Spaces.   Entourage Uniformities; Covering Uniformities; Projective and Inductive Limits; Uniformities and Gages; Total Boundedness; Completeness; Function Spaces.

Chapter II  Topological Groups.  Topological Groups are Uniformizible; Projective and Inductive Limits; Open Mapping and Closed Graph Theorems; Unitary Representations and Character Groups; Haar measure and Integration.

Chapter III  Topological Vector Spaces.  Topological Vector Spaces and Topological Groups; Locally Convex Topological Vector Spaces; Projective and Inductive Limits; Vector-Valued Measure Topological Vector Spaces; Hahn Banach Theorems; Duality Theory.

Chapter IV  Topological Algebras.  Algebra Preliminaries; Normed and Normed *-Algebras; Topological Algebras and LMC Algebras; Q-Algebras; Complete, Complex LMCT2 Q-Algebras.

Chapter V  Abstract Harmonic Analysis.  The Algebra (G); The Algebra M(G) and its Components; Fourier Analysis on Locally Compact  Groups.

Appendices.  Topology; Measure and Integration; linear Algebra.


                                       
APPLICATIONS OF MATHEMATICS IN ECONOMICS (ed. W. Page), Mathematical Association of America NOTES Series # 82 (2013). 

AMERICAN PERSPECTIVES ON THE FIFTH INTERNATIONAL CONGRESS ON MATHEMATICS EDUCATION (ed. W. Page), Mathematical Association of America NOTES Series #5 (1985).

TWO-YEAR COLLEGE MATHEMATICS READINGS (ed. W. Page), Mathematical Association of America (1981)

PRECALCULUS: AN INTERACTIVE APPROACH  (in progress).

This is an experiential, problems oriented precalculus text for students who are competent with intermediate algebra. No trigonometry is assumed; this subject is covered in Chapters 5 and 6. The aim of the text is to invite and encourage the student to be an active co-partner in learning, thinking, and doing mathematics. The activities, collaborations, problems, and explorations that permeate the text are intended to nurture and guide what the student does, learns, and perceives.

Chapter 1  Introductory Concepts
Chapter 2  Functions
Chapter 3  Polynomial and Rational Functions
Chapter 4  Exponential and Logarithmic Functions
Chapter 5  Trigonometric Functions
Chapter 6  Trigonometry in the Plane: Additional Topics
Chapter 7  Conic Sections
Chapter 8  Solving Linear Systems Using Matrices