Learning to Reason: An Introduction to Logic, Sets, and RelationsJohn Wiley & Sons, 2000. gada 20. jūl. - 454 lappuses Learn how to develop your reasoning skills and how to writewell-reasoned proofs Learning to Reason shows you how to use the basic elements ofmathematical language to develop highly sophisticated, logicalreasoning skills. You'll get clear, concise, easy-to-followinstructions on the process of writing proofs, including thenecessary reasoning techniques and syntax for constructingwell-written arguments. Through in-depth coverage of logic, sets,and relations, Learning to Reason offers a meaningful, integratedview of modern mathematics, cuts through confusing terms and ideas,and provides a much-needed bridge to advanced work in mathematicsas well as computer science. Original, inspiring, and designed formaximum comprehension, this remarkable book: * Clearly explains how to write compound sentences in equivalentforms and use them in valid arguments * Presents simple techniques on how to structure your thinking andwriting to form well-reasoned proofs * Reinforces these techniques through a survey of sets--thebuilding blocks of mathematics * Examines the fundamental types of relations, which is "where theaction is" in mathematics * Provides relevant examples and class-tested exercises designed tomaximize the learning experience * Includes a mind-building game/exercise space atwww.wiley.com/products/subject/mathematics/ |
Saturs
Logical Reasoning | 1 |
Writing Our Reasoning | 109 |
Sets The Building Blocks | 213 |
Relations The Action | 309 |
Appendix A Selected Answers | 406 |
Appendix B Glossary | 417 |
Symbols | 428 |
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Learning to Reason: An Introduction to Logic, Sets, and Relations Nancy Rodgers Ierobežota priekšskatīšana - 2011 |
Bieži izmantoti vārdi un frāzes
A₁ adjacent sketch antisymmetric arrow Assume axiomatic system axioms bijection binary operation compound sentence compute concept congruence mod construct contradiction contrapositive countable sets cross product deduce Definition of union derive domain equivalence classes equivalence relation example Exercise Set existential quantifier exists a one-to-one exists an integer f maps false finite sets fis one-to-one function f function that maps ƒ and g ƒ maps greatest element Hasse graph illustrated implication infinite number infinite sets irrational numbers isomorphic least element Let f logical operators mathematical induction meaning minimal element natural numbers negation notation number of elements one-to-one function ordered pairs partially ordered set partition poset positive integer range rational numbers real number reasoning represent set of real structure subset relation symbols symmetric topological sorting translate truth values undefined terms universal set upper bound valid argument variable visual well-ordered write