Mathematics

For a one-quarter/semester, sophomore-level transitional (“bridge”) course that supplies background for students going from calculus to the more abstract, upper-division mathematics courses. Also appropriate as a supplement for junior-level courses such as abstract algebra or real analysis.

Focused on “What Every Mathematician Needs to Know,” this text provides material necessary for students to succeed in upper-division mathematics courses, and more importantly, the analytical tools necessary for thinking like a mathematician. It begins with a natural progression from elementary logic, methods of proof, and set theory, to relations and functions; then provides application examples, theorems, and student projects.

• NEW - Streamlined Ch. 1—Gets more quickly to proofs involving topics more commonly encountered in mathematics courses.

• NEW - Functions are now covered before relations (Chs. 4 and 5).

• NEW - New chapter on rings and integral domains (Ch. 8).

• NEW - Extensively revised chapter on number theory and algebra. (Chs. 6, 7, and 9).

  • The flow from cardinality to rings is now very smooth. Ex.___

• NEW - “Find the Flaw” problems—At the beginning of exercise sets in Chs. 1-5.

  • Help students learn to read proofs critically. Ex.___

• NEW - A collection of True/False questions—Begins each set of review exercises in Chs. 2-5.

• NEW - Many new exercises of all kinds—More than in any other textbook of its kind.

• Five core chapters (Chs. 1-5)—In a natural progression: elementary logic, methods of proof, set theory, functions, and relations. Each chapter contains a full exposition of topics with many examples and practice problems to reinforce the concepts as they are introduced.

  • Anticipates many of the questions students might have and develops the subject slowly and carefully. Students are then able to work more independently—and with much greater understanding of the material. Ex.___

• Four chapters of examples, theorems, and projects (Chs. 6-9)—Many theorems have no proof or only a hint or outline for the proof. Likewise, the examples may have no solutions or just a hint for the solution.

  • The intent is that the material be used as a basis for students to construct their own proofs or solutions and perhaps present them to the class. Ex.___

• Clearly written examples and practice problems— Provides solutions to practice problems, odd-numbered exercises, and review problems.

• Supplementary exercises—Extend or relate to some of the concepts discussed in the text but are not necessary for the continuity of the subject matter.

• Streamlined Ch. 1—Gets more quickly to proofs involving topics more commonly encountered in mathematics courses.

• Functions are now covered before relations (Chs. 4 and 5).

• New chapter on rings and integral domains (Ch. 8).

• Extensively revised chapter on number theory and algebra. (Chs. 6, 7, and 9).

  • The flow from cardinality to rings is now very smooth. Ex.___

• “Find the Flaw” problems—At the beginning of exercise sets in Chs. 1-5.

  • Help students learn to read proofs critically. Ex.___

• A collection of True/False questions—Begins each set of review exercises in Chs. 2-5.

• Many new exercises of all kinds—More than in any other textbook of its kind.

1. Introduction to Logic.


2. Methods of Proof.


3. Set Theory.


4. Cartesian Products and Functions.


5. Relations.


6. Cardinality.


7. Number Theory.


8. Rings and Integral Domains.


9. Limits and the Real Numbers.

Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087

Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
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Allied Health Study Card, 2/E
Forshier
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
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Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
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Concept Videos: Algebra
Addison-Wesley
©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Prentice Hall | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
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Finite Mathematics Study Card
Addison-Wesley
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
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Flash Review Series: Algebra
Becker
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
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Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Prentice Hall | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
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Interwrite Personal Response System
EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Prentice Hall | Electronic Supplement | Instock
ISBN-10: 0321267354 | ISBN-13: 9780321267351

Math for Allied Health Study/Reference Card
Forshier
©2006 | Prentice Hall | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545

Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Prentice Hall | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Prentice Hall | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Pearson TI Rebate Coupon $15, 2/E
Pearson
©2009 | Prentice Hall | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041

Prealgebra Review Workbook
Wheel
©2006 | Prentice Hall | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Prentice Hall | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Saleable Technology Bundle, 2/E
Pearson
©2009 | Prentice Hall | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886

Spanish Basic Math Study Card
Leonarte
©2007 | Prentice Hall | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL:  http://www.aw-bc.com/tutorcenter
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