Discrete Mathematics For Computer Science

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E-Book Overview

Written exclusively with computer science students in mind, Discrete Mathematics for Computer Science provides a comprehensive treatment of standard course topics for the introductory discrete mathematics course with a strong emphasis on the relationship between the concepts and their application to computer science. The book has been crafted to enhance teaching and learning ease and includes a wide selection of exercises, detailed exploration problems, examples and problems inspired by wide-ranging applications of computer science and handy quick reference guides for key technical topics throughout. Discrete Mathematics for Computer Science  provides a lucidly written introduction to discrete mathematics with abundant support for learning, including over 450 examples, thorough chapter summaries, simple quizzes, and approximately 1600 homework exercises of widely varying difficulty.

Each chapter  begins with motivational content that relates the chapter topic to computer science practice and the book also includes over fifty "Computer Science Connections" which discuss applications to computer science such as Rotation Matrices; Game Trees, Logic, and Winning Tic-Tac(-Toe); Moore's Law; Secret Sharing; The Enigma Machine and the First Computer; Bayesian Modeling and Spam Filtering; and Quantum Computing.

David Liben-Nowell (PhD from MIT) is a Professor and Chair of Computer Science at Carleton College.  His research interests are focused on computational social sciences, particularly the structure and evolution of social networks and computational modeling of spoken-word recognition.


E-Book Content

1 David Liben-Nowell Department of Computer Science Carleton College Discrete Mathematics for Computer Science or (A Bit of) The Math that Computer Scientists Need to Know VP AND EDITORIAL DIRECTOR SENIOR DIRECTOR ACQUISITIONS EDITOR EDITORIAL MANAGER CONTENT MANAGEMENT DIRECTOR CONTENT MANAGER SENIOR CONTENT SPECIALIST PRODUCTION EDITOR PHOTO RESEARCHER COVER PHOTO CREDIT Laurie Rosatone Don Fowley Linda Ratts Gladys Soto Lisa Wojcik Nichole Urban Nicole Repasky Rajeshkumar Nallusamy Billy Ray © slobo/Getty Images, Inc. This book was set in TeXGyrePagella 10/12 by SPi Global and printed and bound by Strategic Content Imaging. This book is printed on acid free paper. ∞ Founded in 1807, John Wiley & Sons, Inc. has been a valued source of knowledge and understanding for more than 200 years, helping people around the world meet their needs and fulfill their aspirations. Our company is built on a foundation of principles that include responsibility to the communities we serve and where we live and work. In 2008, we launched a Corporate Citizenship Initiative, a global effort to address the environmental, social, economic, and ethical challenges we face in our business. Among the issues we are addressing are carbon impact, paper specifications and procurement, ethical conduct within our business and among our vendors, and community and charitable support. For more information, please visit our website: www.wiley.com/go/ citizenship. Copyright © 2018, John Wiley & Sons, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923 (Web site: www.copyright.com). Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030-577