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Nuts and Bolts of Proofs : An Introduction to Mathematical Proofs by Antonella Cupillari (2012, Trade Paperback)
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- Buy It NowThe Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs
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About this product
Product Identifiers
PublisherElsevier Science & Technology
ISBN-100123822173
ISBN-139780123822178
eBay Product ID (ePID)109622917
Product Key Features
Number of Pages296 Pages
LanguageEnglish
Publication NameNuts and Bolts of Proofs : an Introduction to Mathematical Proofs
Publication Year2012
SubjectLogic
TypeTextbook
AuthorAntonella Cupillari
Subject AreaMathematics
FormatTrade Paperback
Dimensions
Item Length9.2 in
Item Width7.5 in
Additional Product Features
Edition Number4
Intended AudienceCollege Audience
TitleLeadingThe
Reviews"It is written with great accuracy and a level of enthusiasm necessary for the Herculean task of launching mathematical handle-turners 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, "It is written with great accuracy and a level of enthusiasm necessary for the Herculean task of launching mathematical handle-turners 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, "It is written with great accuracy and a level of enthusiasm necessary for the Herculean task of launching mathematical handle-turners 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
Dewey Edition21
IllustratedYes
Dewey Decimal511.3
Table Of Content1. Getting Started2. Basic Techniques to Prove If/Then Statements3. Special kinds of Theorems4. Some mathematical topics on which to practice proof techniques5. Review Exercises
SynopsisThe 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 only-if, 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., 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 only-if, 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. Jumps right in with the needed vocabulary--gets students thinking like mathematicians from the beginning Offers a large variety of examples and problems with solutions for students to work through on their own Includes a collection of exercises without solutions to help instructors prepare assignments Contains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics
LC Classification NumberQA9.54.C86 2013
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