Description: About this productProduct InformationThis text is designed to prepare students for the more abstract mathematics courses that follow calculus. It introduces students to proof techniques and advises them on how to write proofs of their own.Product IdentifiersPublisherAddison-Wesley Longman, IncorporatedISBN-100201710900ISBN-139780201710908eBay Product ID (ePID)2190762Product Key FeaturesFormatHardcoverPublication Year2002LanguageEnglishDimensionsWeight23.4 OzWidth7.7in.Height0.6in.Length9.6in.Additional Product FeaturesDewey Edition23Table of Content0. Communicating Mathematics. Learning Mathematics. What Others Have Said About Writing. Mathematical Writing. Using Symbols. Writing Mathematical Expressions. Common Words and Phrases in Mathematics. Some Closing Comments About Writing. 1. Sets. Describing a Set. Special Sets. Subsets. Set Operations. Indexed Collections of Sets. Partitions of Sets. Cartesian Products of Sets. 2. Logic. Statements. The Negation of a Statement. The Disjunction and Conjunction of Statements. The Implication. More On Implications. The Biconditional. Tautologies and Contradictions. Logical Equivalence. Some Fundamental Properties of Logical Equivalence. Characterizations of Statements. Quantified Statements and Their Negations. 3. Direct Proof and Proof by Contrapositive. Trivial and Vacuous Proofs. Direct Proofs. Proof by Contrapositive. Proof by Cases. Proof Evaluations. 4. More on Direct Proof and Proof by Contrapositive. Proofs Involving Divisibility of Integers. Proofs Involving Congruence of Integers. Proofs Involving Real Numbers. Proofs Involving Sets. Fundamental Properties of Set Operations. Proofs Involving Cartesian Products of Sets. 5. Proof by Contradiction. Proof by Contradiction. Examples of Proof by Contradiction. The Three Prisoners Problem. Other Examples of Proof by Contradiction. The Irrationality of A2. A Review of the Three Proof Techniques. 6. Prove or Disprove. Conjectures in Mathematics. A Review of Quantifiers. Existence Proofs. A Review of Negations of Quantified Statements. Counterexamples. Disproving StatemeDewey Decimal511.3/6IllustratedYesCopyright Date2003AuthorPing Zhang, Gary Chartrand, Albert D. PolimeniNumber of Pages384 PagesLc Classification NumberQa9.54.C48 2002Publication Date2002-05-28Lccn2001-055322
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Item Length: 9.6in
Item Height: 0.6in
Item Width: 7.7in
Author: Ping Zhang, Gary Chartrand, Albert D. Polimeni
Publication Name: Mathematical Proofs : a Transition to Advanced Mathematics
Format: Hardcover
Language: English
Publisher: Addison-Wesley Longman, Incorporated
Publication Year: 2002
Type: Textbook
Item Weight: 23.4 Oz
Number of Pages: 384 Pages
