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Discrete Mathematics A First Course(1st Edition)

Authors:

Alexander Stanoyevitch

Free discrete mathematics a first course 1st edition alexander stanoyevitch 979-8546314675
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Book details

ISBN: 979-8546314675

Book publisher: Independently published

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Book Summary: This Textbook Has Been Created To Provide An Introduction To The Important Concepts In Discrete Mathematics That Are Needed For Students Who Are Studying Either Mathematics Or Computer Science. Material From The Authors Larger Book On The Subject Has Been Carefully Selected, Thoroughly Revised, And Put Together In A Way That Is Intended To Make It Readable And Enticing To Students. Many More Worked-examples Have Been Added Throughout Each Chapter. Feedback From Students And Others Who Have Used The Earlier Book Has Been Used To Provide More Careful Explanations In Areas That Students Usually Find Difficult. The Layout Of The Book Makes It Easy To Navigate: Separate Icons Are Used In The Margins To Indicate Each Of The Section Headings, Definitions, Examples, Theoretical Results, Algorithms, And Exercise Sets. Each Chapter Contains An Extensive Set Of Exercises Ranging From Routine To Other Exercises That Are More Challenging Or Allow The Reader To Expand Their Knowledge Into New Topics. An Appendix At The End Of The Book Provides Answers And Often Detailed Solutions To Most Of The Odd-numbered Exercises. Separate Indices Are Provided For The Notation, Theoretical Results, And Algorithms. A Website For The Book Contains Some Supplementary Material, Including Computer Exercises. Brief Table Of Contents:PrefaceChapter 1: Chapter 1: Logical OperatorsChapter 2: Logical QuantifiersChapter 3: SetsChapter 4: Relations And FunctionsChapter 5: Equivalence Relations And Partial OrderingsChapter 6: Mathematical InductionChapter 7: RecursionChapter 8: Some Number TheoryChapter 9: Representations Of Integers In Different BasesChapter 10: Modular Arithmetic And CongruencesChapter 11: Fundamental Principles Of CountingChapter 12: Permutations And CombinationsChapter 13: Searching And Sorting AlgorithmsChapter 14: Growth Rates Of Functions And Complexity Of AlgorithmsChapter 15: Graph Concepts And PropertiesChapter 16: Paths, Connectedness, And Distances In GraphsChapter 17: TreesChapter 18: Graph Traversal ProblemsAppendix A: Pseudo Code DictionaryAppendix B: Randomness And ProbabilityAppendix C: Answers And Solutions To Most Odd-Numbered ExerciseReferencesIndex Of AlgorithmsIndex