- You know from calculus that functions play a fundamental role in math-ematics. You likely view a function as a kind of formula that describes
- In mathematics there are endless ways that two entities can be related to each other. Consider the following mathematical statements.
- Absolute Value, 6 Addition Principle, 76
- All of mathematics can be described with sets. This becomes more and more apparent the deeper into mathematics you go. It will be apparent
- Also available at http://amc.imfm.si ISSN 1855-3966 (printed edn.), ISSN 1855-3974 (electronic edn.)
- SIAM J. DISCRETE MATH. c 2010 Society for Industrial and Applied Mathematics Vol. 23, No. 4, pp. 20422052
- Introduction This is a book about how to prove theorems.
- Discussiones Mathematicae Graph Theory 24 (2004) 491501
- Discussiones Mathematicae Graph Theory 30 (2010) 575590
- AUSTRALASIAN JOURNAL OF COMBINATORICS Volume 48 (2010), Pages 205211
- Book of Proof Richard Hammack
- Cyclicity of Graphs Richard Hammack
- Contrapositive Proof This chapter explains an alternative to direct proof called contraposi-
- This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research
- Total Perfect Codes in Tensor Products of Graphs Ghidewon Abay-Asmerom
- Perfect r-Codes in Strong Products of Graphs Ghidewon Abay-Asmerom
- Direct Proof It is time to prove some theorems. There are various methods of doing
- Also available at http://amc.imfm.si ISSN 1855-3966 (printed edn.), ISSN 1855-3974 (electronic edn.)
- Discussiones Mathematicae Graph Theory 31 (2011) 2535
- Also available at http://amc.imfm.si ISSN 1855-3966 (printed edn.), ISSN 1855-3974 (electronic edn.)
- This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research
- EQUITABLE CHROMATIC NUMBER OF COMPLETE MULTIPARTITE GRAPHS
- Houston Journal of Mathematics c 1999 University of Houston
- A Geometric View of Complex Trigonometric Functions
- Alternating series convergence: a visual proof
- It may seem peculiar that a college-level text has a chapter on counting. At its most basic level, counting is a process of pointing to each object
- Proving Non-conditional Statements The past three chapters have introduced three major proof techniques
- Proofs Involving Sets Students taking their first advanced mathematics classes are often sur-
- Cardinality of Sets This chapter is all about cardinality of sets. At first this looks like a
- Chapter 1 Exercises Section 1.1
- Author's personal copy Discrete Mathematics 310 (2010) 16911696
- Information Processing Letters 102 (2007) 214218 www.elsevier.com/locate/ipl
- Proof by Contradiction We now explore a third method of proof: proof by contradiction.
- Logic is a systematic way of thinking that allows us to deduce new infor-mation from old information. You use logic informally in everyday
- Mathematical Induction This chapter introduces a very powerful proof technique called math-
- Discussiones Mathematicae Graph Theory 28 (2008) 179184
- AUSTRALASIAN JOURNAL OF COMBINATORICS Volume 44 (2009), Pages 265272
- Ever since Chapter 4 we have dealt with one major theme: given a statement, prove that is it true. In every example and exercise we
- Frucht's theorem for the digraph factorial Richard H. Hammack
- Cancellation of digraphs over the direct product Richard H. Hammack