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PRECALCULUS:
AN INTERACTIVE APPROACH
Travel and Explorations
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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