Discrete Mathematics with Applications, 5/e (Metric Edition)(Paperback)

Susanna S. Epp

  • 出版商: Cengage Learning
  • 出版日期: 2019-01-01
  • 售價: $1,220
  • 貴賓價: 9.8$1,196
  • 語言: 英文
  • 頁數: 1057
  • ISBN: 0357114086
  • ISBN-13: 9780357114087

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本書序言

●Discussion of strings and graphs begins in Chapter 1 and is integrated with applications throughout the text. The handshake theorem, previously in Chapter 12, is now in Chapter 4.
●This title is now available with WebAssign, including innovative new exercise types that guide and assess students' abilities to complete proofs.
●New material was added on binary search trees, cryptographic hash functions, bound variables and scope in mathematics and computer programming, and the use of cryptography for message authentication.
●Sections on quantifier use, the concept of mathematical proof, proof-writing advice, and set theory proofs were revised and expanded based on classroom experience, and new types of exercises were added.
●The sections introducing mathematical induction were reorganized, discussion of structural induction was expanded, and additional applications of induction were provided.
●Explanations for two’s complements and for O-, Ω-, and Θ-Notations were significantly simplified.

本書特色

●Over 500 worked examples in problem-solution format guide students in building a conceptual understanding of how to solve problems. Proof solutions are intuitively developed in two steps, a discussion on how to approach the proof and a summary of the solution, allowing students the choice of faster or more deliberate instruction depending on how well they understand the problem.
●Flexible organization, allowing instructors the ability to mix core and optional topics easily to suit a wide variety of discrete math course syllabi and topic focus.
●Features, definitions, theorems, and exercise types are clearly marked and easily navigable, making the book an excellent reference that students will want to keep and continually refer back to in their later courses.
●A large number of computer science applications are included, both to motivate students and to ease their transition into more advanced computer science courses.
●Epp addresses inherent difficulties in understanding logic and language with very concrete and easy-to-conceptualize examples, an approach that helps students with a variety of backgrounds better comprehend basic mathematical reasoning, and enables them to construct sound mathematical arguments.
●More than 2500 exercises provide ample practice for students, with numerous applied problems covering an impressive array of applications.

目錄大綱

1.SPEAKING MATHEMATICALLY.
2.THE LOGIC OF COMPOUND STATEMENTS.
3.THE LOGIC OF QUANTIFIED STATEMENTS.
4.ELEMENTARY NUMBER THEORY AND METHODS OF PROOF.
5.SEQUENCES, MATHEMATICAL INDUCTION, AND RECURSION.
6.SET THEORY.
7.PROPERTIES OF FUNCTIONS.
8.PROPERTIES OF RELATIONS.
9.COUNTING AND PROBABILITY.
10.THEORY OF GRAPHS AND TREES.
11.ANALYSIS ALGORITHM EFFICIENCY.
12.REGULAR EXPRESSIONS AND FINITE-STATE AUTOMATA.
Appendix A Properties of the Real Numbers
Appendix B Solutions and Hints to Selected Exercises