Textbook
Book of Proof by Call Number: Open Educational ResourceISBN: 9780989472104Publication Date: 2013-05-01This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.
Your textbook is freely available through this link!
Websites
- Combinatorics NetWeb directory of combinatorics resources maintained by Bill Chen.
- Electronic Journal of CombinatoricsA fully refereed electronic journal. Available from vol. 1, 1994, forward . Free email notification service available.
- Erdös Number ProjectTrack the chain of co-authorships connecting a given mathematician with Paul Erdös (1913–1996). Maintained by Jerry Grossman at Oakland University, with the collaboration of Patrick Ion at Mathematical Reviews and Rodrigo De Castro at the Universidad Nacional de Colombia, Bogota.
- Interactive Mathematics Miscellany and PuzzlesA directory of interactive math activities.
- Mathematical ArchivesA directory of online teaching resources, hosted by the University of Tennessee, Knoxville
- Mathematical AtlasA collection of articles about aspects of mathematics at and above the university level, but (usually) not at the level of current research. Designed with the visitor in mind who wants to know something about a topic in mathematics -- why it's interesting, how it fits in with the rest of mathematics, and how it may be useful for solving some problem in or out of mathematics.
- Mathematics Geneology ProjectA database of Ph.D.'s in mathematics, worldwide, and their academic family trees. Directed by Harry Coonce, Steve Butcher, Patricia Allaire.
- Topology AtlasA comprehensive on-line resource for mathematicians and others with an interest in topology. Features preprints, invited contributions, individual and organizational directories, conference calendar, and more.
Additional Helpful Sources
- Examples for Discrete Mathematics from Wolfram AlphaExamples for Discrete Mathematics from Wolfram Alpha including examples of Combinatorics, Graph Theory,
Sequences, Recurrences, and Point Lattices. - Discrete MathematicsInformation on various Discrete Mathematics topics from Wolfram Math World.