Fundamentals of Discrete Math for Computer Science: A Problem-Solving Primer / Edition 1

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Overview

An understanding of discrete mathematics is essential for students of computer science wishing to improve their programming competence.
Fundamentals of Discrete Math for Computer Science provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions.
Topics and features:
Highly accessible and easy to read, introducing concepts in discrete mathematics without requiring a university-level background in mathematicsIdeally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendationsDescribes mathematical processes in an algorithmic manner, often including a walk-through demonstrating how the algorithm performs the desired task as expectedContains examples and exercises throughout the text, and highlights the most important concepts in each sectionSelects examples that demonstrate a practical use for the concept in questionThis easy-to-understand and fun-to-read textbook is ideal for an introductory discrete mathematics course for computer science students at the beginning of their studies. The book assumes no prior mathematical knowledge, and discusses concepts in programming as needed, allowing it to be used in a mathematics course taken concurrently with a student’s first programming course.

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Editorial Reviews

From the Publisher

From the reviews:

Prof. Vladik Kreinovich, University of Texas at El Paso, TX, USA

Excerpts from full review posted Dec 28 2012 to Computing Reviews [Review #: CR140786]

This book is specifically aimed at CS students. The authors include the same discrete math topics that other books have, but, in contrast to most existing books, they introduce each topic with a clear (and entertaining) CS motivation…

The book covers the usual discrete math topics …in a very entertaining way…

Each section is well written, with a highlighted subsection on the most important ideas and plenty of exercises. I highly recommend this book to everyone. It can be used in two different ways. The easiest way is to teach only the topics that are usually taught in discrete math classes (and ignore the other parts of the book). Alternatively, you could cover the whole book and, if needed, rearrange the other classes to avoid duplication. No matter how you use this book, its highly entertaining presentation of the material will undoubtedly make the class a success.

“Jenkyns (Brock Univ., Canada) and Stephenson (Univ. of Calgary, Canada) have written an introductory textbook on discrete mathematics for computer science majors. The volume’s ten chapters cover the standard topics taught in such courses at the freshman or sophomore level … . In comparison with other introductory discrete mathematics textbooks, this work has a very strong emphasis on algorithms, proofs of algorithmic correctness, and the analysis of worst-case and average-case complexity. … Summing Up: Recommended. Lower-division undergraduates.” (B. Borchers, Choice, Vol. 50 (9), May, 2013)

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Product Details

  • ISBN-13: 9781447140689
  • Publisher: Springer London
  • Publication date: 8/31/2012
  • Series: Undergraduate Topics in Computer Science Series
  • Edition description: 2013
  • Edition number: 1
  • Pages: 416
  • Sales rank: 698,503
  • Product dimensions: 6.10 (w) x 9.00 (h) x 1.00 (d)

Meet the Author

Dr. Tom Jenkyns is an Associate Professor in the Department of Mathematics and the Department of Computer Science at Brock University, Canada.
Dr. Ben Stephenson is an Instructor in the Department of Computer Science at the University of Calgary, Canada.

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Table of Contents

Algorithms, Numbers and Machines
Sets, Sequences and Counting
Boolean Expressions, Logic and Proof
Searching and Sorting
Graphs and Trees
Relations: Especially on (Integer) Sequences
Sequences and Series
Generating Sequences and Subsets
Discrete Probability and Average Case Complexity
Turing Machines

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