Addison-Wesley / Prentice Hall

Mathematics

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Discrete Mathematics with Graph Theory, 3/E
Edgar G. Goodaire
Michael M. Parmenter

ISBN-10: 0131679953
ISBN-13: 9780131679955

Publisher: Prentice Hall
Copyright: 2006
Format: Cloth; 592 pp
Published: 06/24/2005

Suggested retail price: $124.00
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Far more “user friendly” than the vast majority of similar books, this text is truly written with the “beginning” reader in mind.  The pace is tight, the style is light, and the text emphasizes theorem proving throughout. The authors emphasize "Active Reading,” a skill vital to success in learning how to think mathematically (and write clean, error-free programs).

• A friendly, conversational, humorous style – Makes this top seller stimulating and engaging for the reader.

 

• More than 150 Pauses (short questions) – Inserted at strategic points. Full solutions to Pauses are included at the end of each section.

 

• Emphasis on writing and critical-thinking skills.

 

• More than 300 worked examples and 3500 exercises. The problem sets are carefully graded by level of difficulty.

 

• A FREE Student Solutions Manual is built into the back of the text.

 

• Topics in discrete math are used as a vehicle for teaching proofs.

 

• An unusually strong emphasis on graph theory, incorporating its coverage throughout six chapters.

 

• A glossary of definitions and a list of symbols and notation.

• The former Chapter 1 (“Proofs”) has been split into two chapters, the first mainly expository on proofs, the second focused on logic (truth tables, propositions).

 

• Two sections on probability (2.4 and 2.5).

 

• Material on depth-first search which previously comprised an entire (very short) chapter has been moved to an earlier chapter where it fits more naturally.

 

• Section 11.3 on RNA chains has been rewritten to include a new (and easier) algorithm for the recovery of an RNA chain from its complete enzyme digest.

 

• True/false questions (with all answers in the back of the book) have been added to every section.

 

• An additional 900 exercises; complete solutions to an additional 200 exercises in the back of the book.

 

• Many new exercises on mathematical induction, which is now one of the strongest, basic presentations available.

 

• An appendix on matrices.

 

• A number of new computer science applications.

0.  Yes, There Are Proofs!

1.  Logic

2.  Sets and Relations

3.  Functions

4.  The Integers

5.  Induction and Recursion

6.  Principles of Counting

7.  Permutations and Combinations

8.  Algorithms

9.  Graphs

10. Paths and Circuits

11.  Applications of Paths and Circuits

12.  Trees

13.  Planar Graphs and Colorings

14.  The Max Flow -- Min Cut Theorem

For Discrete Math


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