References / Works Consulted
* recommended reading.
* Balakrishnan, V. K. Introductory Discrete Mathematics, New York: Dover, 1991. This is an excellent, inexpensive ($9.95) text. This book covers all the topics of this class and has examples, problems and solutions.
Basse, Sara. Computer Algorithms: Introduction to Design and Analysis. Reading, MA,:Addison-Wesley, 1978.
* Chartrand, Gary. Introductory Graph Theory. New York: Dover, 1977. This a a very readable book with a lot of examples.Each section starts out with a puzzle. Then there is an analysis of the problem with a formal solution. Lastly, there are examples of further applications. This book can be read a several levels. Contains solution to problems. ($8.95).
Cohen, Daniel. Introduction to Computer Theory. 2nd ed. New:York:Wiley, 1997.
Cohn, Harvey. Advanced Number Theory. New York: Dover, 1962.
Edwards, R. E. Functional Analysis: Theory and Applications. New York: Dover, 1965.
* Fisher, James. An Introduction to Discrete Mathematics: Application Oriented Algebra. New York: Harper, 1977.
* Gilbert, William. Modern Algebra With Applications. New York: Wiley, 1976. This book has a good section of error-correcting codes.
Henle, Michael. A Combinatorial Introduction to Topology. New York: Dover, 1979. This book provides a good introduction into the connection of graph theory and topology.
Kahn, Donald. Topology: An Introduction to the Point Set and Algebraic Areas. New York: Dover, 1995.
Knopfmacher, John. Abstract Analytic Number Theory. New York: Dover, 1975.
Landin, Joseph. An Introduction to Algebraic Structures. New York: Dover, 1969. This is a good general review book.
Maunder, C. R. F. Algebraic Topology. New York: Dover, 1970.
Mendelson, Bert. Introduction to Topology. 3rd. ed. New York: Dover, 1975. This book covers the basic topics in introductory topology.
Michel, Anthony and Charles Herget. Algebra and Functional Analysis. New York: Dover, 1981.
McCarty, George. Topology: An Introduction with Application to Topological Groups. New York: Dover, 1967.
* Reingold, Edward, Jurg Nievergelt and Narsingh Deo. Combinatorial Algorithms: Theory and Practice. New York: Prentice, 1977.
Revesz, Gyorgy. Introduction to Formal Languages. New York: Dover, 1983.
Rosenlicht, Maxwell. Introduction to Analysis. New York: Dover, 1968.
Saaty, Thomas, Paul Kainen. The Four ColorProblem. New York:Dover, 1977.
Trudeau, Richard. Introduction to Graph Theory. New York: Dover, 1976. This is a book book if you are looking for proofs of some of the theorems in the text.
Wall, C. T. C. A Geometric Introduction to Topology. New York: Dover, 1972.
Warner, Seth. Modern Algebra. New York: Dover, 1965. A comprehensive, inexpensive ($18) two volume review of modern algebra.
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