About the Book The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It also includes the negation statement, and/or. It examines various theorems, such as the if and onlyif, or equivalence theorems, the existence theorems, and the uniqueness theorems. In addition, use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are covered in this chapter. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics. Undergraduate students in engineering and physical science will find this book invaluable.
Readership
Asupplement for undergraduate courses in higher mathematics as a primer to assist engineering and physical science students on fundamental proof techniques
Quotes
"It is written with great accuracy and a level of enthusiasm necessary for the Herculean task of launching mathematical handleturners into the world of mathematical thinking…for those required to teach ‘transition courses’, I recommend perusal of this book as a possible course text." MAA online, December 3, 2013
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