Transition to Advanced Mathematics

Name: Transition to Advanced Mathematics
Price: 16.01 USD
Availability: InStock
ISBN: 9780495562023

ISBN-10: 0495562025

ISBN-13: 9780495562023

Edition: 7th 2011

Authors: Douglas Smith, Maurice Eggen, Richard St. Andre

List price: $278.95

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Book details

List price: $278.95
Edition: 7th
Copyright year: 2011
Publisher: Brooks/Cole
Publication date: 6/1/2010
Binding: Hardcover
Pages: 416
Size: 7.50" wide x 9.75" long x 1.00" tall
Weight: 1.980
Language: English




Logic And Proofs


Propositions and Connectives


Conditionals and Biconditionals


Quantifiers


Basic Proof Methods I


Basic Proof Methods II


Proofs Involving Quantifiers


Additional Examples of Proofs



Set Theory


Basic Notions of Set Theory


Set Operations


Extended Set Operations and Indexed Families of Sets


Induction


Equivalent Forms of Induction


Principles of Counting



Relations And Partitions


Relations


Equivalence Relations


Partitions


Ordering Relations


Graphs



Functions


Functions as Relations


Constructions of Functions


Functions That Are Onto


One-to-One Functions


One-to-One Correspondences and Inverse Functions


Images of Sets.


Sequences



Cardinality


Equivalent Sets


Finite Sets


Infinite Sets


Countable Sets


The Ordering of Cardinal Numbers


Comparability of Cardinal Numbers and the Axiom of Choice



Concepts Of Algebra: Groups


Algebraic Structures


Groups


Subgroups


Operation Preserving Maps


Rings and Fields



Concepts Of Analysis: Completeness Of The Real Numbers


Ordered Field Properties of the Real Numbers


The Heine-Borel Theorem


The Bolzano-Weierstrass Theorem


The Bounded Monotone Sequence Theorem


Comparability of Cardinals and the Axiom of Choice