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Discrete Mathematics with Graph Theory

Discrete Mathematics with Graph Theory

          
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About the Book

For courses in Discrete Mathematics. Adopting a user-friendly, conversational-and at times humorous-style, these authors make the principles and practices of discrete mathematics as stimulating as possible while presenting comprehensive, rigorous coverage. Examples and exercises integrated throughout each chapter serve to pique student interest and bring clarity to even the most complex concepts. Above all, the book is designed to engage todays students in the interesting, applicable facets of modern mathematics. *NEW - Chapter One is completely rewritten - Includes new sections on truth tables, the algebra of propositions and logical arguments. Provides students with greater coverage of logic and truth tables at the beginning of the text. *NEW - Most algorithms have been rewritten. Allows students to see algorithms in a less casual way so as to more closely resemble computer code. *NEW - Review exercises - Added to the end of every chapter. Helps students to review and reinforce text concepts. *NEW - Emphasis on writing and critical thinking skills, allows students to strengthen their skills in these areas. *More than 200 worked examples and problems as well as over 2500 exercises are included, helps students to review and practice text concepts. *More than 800 problems have full solutions provided in the back of the book. *More than 150 Pauses (short questions) Inserted at strategic points. Full solutions to Pauses are included at the end of each section, serves to underscore key ideas. *Problem sets are carefully graded by level of difficulty, allows students to begin with truly elementary exercises and adjust to more difficult exercises. *Topics in discrete math are used as a vehicle for teaching proofs, introduces students to the basic elements of logic and the major methods of proof by guiding them through examples before introducing truth tables. *An unusually strong emphasis on graph theory, incorporating its coverage throughout seven chapters. *Chapters 9-15 are self-contained and offer instructors flexibility in coverage of graph theory. *A glossary of definitions and a list of symbols and notation are included, provides students with a convenient resource of information.

Table of Contents:
 1. Yes, There Are Proofs!  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. Depth-First Search and Applications. 14. Planar Graphs and Colorings. 15. The Max Flow—Min Cut Theorem. Solutions to Selected Exercises.. Glossary. Index.


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Product Details
  • ISBN-13: 9780130920003
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Edition: 2 Rev ed
  • Language: English
  • Returnable: Y
  • Weight: 1152 gr
  • ISBN-10: 0130920002
  • Publisher Date: 17 Aug 2001
  • Binding: Hardback
  • Height: 244 mm
  • No of Pages: 545
  • Spine Width: 26 mm
  • Width: 211 mm


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