000 03331nam a2200385 4500
001 OTLid0000160
003 MnU
005 20201105133301.0
006 m o d s
008 180907s2017 mnu o 0 0 eng d
020 _a9781105559297
040 _aMnU
_beng
_cMnU
050 4 _aQA1
050 4 _aQA37.3
100 1 _aDoerr, Alan
_eauthor
245 0 0 _aApplied Discrete Structures
_cAlan Doerr
264 2 _bOpen Textbook Library
264 1 _bAlan Doerr & Kenneth Levasseur
300 _a1 online resource
490 0 _aOpen textbook library.
505 0 _a1 Set Theory -- 2 Combinatorics -- 3 Logic -- 4 More on Sets -- 5 Introduction to Matrix Algebra -- 6 Relations and Graphs -- 7 Functions -- 8 Recursion and Recurrence Relations -- 9 Graph Theory -- 10 Trees -- 11 Algebraic Systems -- 12 More Matrix Algebra -- 13 Boolean Algebra -- 14 Monoids and Automata -- 15 Group Theory and Applications -- 16 An Introduction to Rings and Fields
520 0 _aIn writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach andmove them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics. To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs. Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete. The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words. An Instructor's Guide is available to any instructor who uses the text. It includes: Chapter-by-chapter comments on subtopics that emphasize the pitfalls to avoid; Suggested coverage times; Detailed solutions to most even-numbered exercises; Sample quizzes, exams, and final exams. This textbook has been used in classes atCasper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).
542 1 _fAttribution-NonCommercial-ShareAlike
546 _aIn English.
588 0 _aDescription based on print resource
650 0 _aMathematics
_vTextbooks
650 0 _aApplied mathematics
_vTextbooks
700 1 _aLevasseur, Kenneth
_eauthor
710 2 _aOpen Textbook Library
_edistributor
856 4 0 _uhttps://open.umn.edu/opentextbooks/textbooks/160
_zAccess online version
999 _c19580
_d19580