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A Transition to Advanced Mathematics

8th Edition

Douglas Smith, Maurice Eggen, Richard St. Andre

Publisher: Cengage Learning

ISBN: 9781285463261

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Problem 1E:

Which of the following are propositions? Give the truth value of each proposition. What time is...

Problem 2E:

For each pair of statements, determine whether the conjunction PQ and thedisjunction PQ are true. P...

Problem 3E:

Make a truth table for each of the following propositional forms. P~P P~P P~Q P(Q~Q) (PP)~Q ~(PQ)...

Problem 4E:

If P, Q, and R are true while S and K are false, which of the following are true? (a) Q(RS) (b)...

Problem 6E:

Which of the following pairs of propositional forms are equivalent? (a) PQ,(PQ) (b) (P)(Q),(PQ) (c)...

Problem 7E:

Determine the propositional form and truth value for each of the following: (a) It is not the case...

Problem 8E:

Suppose P, Q, and R are propositional forms. Explain why each is true. If P is equivalent to Q, then...

Problem 9E:

Suppose P, Q, S, and R are propositional forms, P is equivalent to Q, and S isequivalent to R. For...

Problem 10E:

Use a truth table to determine whether each of the following is a tautology,a contradiction, or...

Problem 11E:

Give a useful denial of each statement. Assume that each variable is somefixed object so that each...

Problem 12E:

Restore parentheses to these abbreviated propositional forms. (a) PQS (b) QS(PQ) (c) PQPRPS (d)...

Chapter 1.1 - Propositions And ConnectivesChapter 1.2 - Conditionals And BiconditionalsChapter 1.3 - Quantified StatementsChapter 1.4 - Basic Proof Methods IChapter 1.5 - Basic Proof Methods IiChapter 1.6 - Proofs Involving QuantifiersChapter 1.7 - Strategies For Constructing ProofsChapter 1.8 - Proofs From Number TheoryChapter 2.1 - Basic Concepts Of Set TheoryChapter 2.2 - Set Operations

Chapter 2.3 - Indexed Families Of SetsChapter 2.4 - Mathematical InductionChapter 2.5 - Equivalent Forms Of InductionChapter 2.6 - Principles Of CountingChapter 3.1 - RelationsChapter 3.2 - Equivalence RelationsChapter 3.3 - PartitionsChapter 3.4 - Modular ArithmeticChapter 3.5 - Ordering RelationsChapter 4.1 - Functions As RelationsChapter 4.2 - Constructions Of FunctionsChapter 4.3 - Functions That Are Onto; One-to-one FunctionsChapter 4.4 - Inverse FunctionsChapter 4.5 - Set ImagesChapter 4.6 - SequencesChapter 4.7 - Limits And Continuity Of Real FunctionsChapter 5.1 - Equivalent Sets; Finite SetsChapter 5.2 - Infinite SetsChapter 5.3 - Countable SetsChapter 5.4 - The Ordering Of Cardinal NumbersChapter 5.5 - Comparability And The Axiom Of ChoiceChapter 6.1 - Algebraic StructuresChapter 6.2 - GroupsChapter 6.3 - SubgroupsChapter 6.4 - Operation Preserving MapsChapter 6.5 - Rings And FieldsChapter 7.1 - The Completeness PropertyChapter 7.2 - The Heine–borel TheoremChapter 7.3 - The Bolzano–weierstrass TheoremChapter 7.4 - The Bounded Monotone Sequence TheoremChapter 7.5 - Equivalents Of CompletenessChapter I - SetsChapter II - Number SystemsChapter III - Functions

A TRANSITION TO ADVANCED MATHEMATICS helps students to bridge the gap between calculus and advanced math courses. The most successful text of its kind, the 8th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematically--to analyze a situation, extract pertinent facts, and draw appropriate conclusions.

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Corresponding editions of this textbook are also available below:

EBK A TRANSITION TO ADVANCED MATHEMATIC

7 Edition

ISBN: 9780100432796

A Transition to Advanced Mathematics

7 Edition

ISBN: 9780495562023

EBK A TRANSITION TO ADVANCED MATHEMATIC

7 Edition

ISBN: 8220100432798

EBK A TRANSITION TO ADVANCED MATHEMATIC

7 Edition

ISBN: 9780100126800

EBK A TRANSITION TO ADVANCED MATHEMATIC

8 Edition

ISBN: 9781305177192

A transition to advanced mathematics

5 Edition

ISBN: 9780534382148

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