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Markowski Orono , M. Mitrovic Nis , A. Salomaa Turku , L. Staiger Halle , D. Skordev So? Slutzki Ames , I. Tomescu Bucharest , M. Yasugi Kyoto , and V. Vajnovszki - jon , selected 18 papers out of 35 to be presented as regular contributions and 1 5 other special CDMTCS papers. Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline.
Lower-division undergraduates through graduate students. This textbook has a distinctly applied orientation and explores a variety of applications. Discrete Mathematics, Second Edition illustrates the relationships between key concepts through its thematic organization and provides a seamless transition between subjects. Distinct for the depth with which it covers logic, this text emphasizes problem solving and the application of theory as it carefully guides the reader from basic to more complex topics.
Discrete Mathematics is an ideal resource for discovering the fundamentals of discrete math. Discrete Mathematics, Second Edition is designed for an introductory course in discrete mathematics for the prospective computer scientist, applied mathematician, or engineer who wants to learn how the ideas apply to computer sciences.
The choice of topics-and the breadth of coverage-reflects the desire to provide students with the foundations needed to successfully complete courses at the upper division level in undergraduate computer science courses. This book differs in several ways from current books about discrete mathematics. It presents an elementary and unified introduction to a collection of topics that has not been available in a single source.
A major feature of the book is the unification of the material so that it does not fragment into a collection of seemingly unrelated ideas. This textbook presents fundamental topics in discrete mathematics introduced from the perspectives of a pure mathematician and an applied computer scientist.
The synergy between the two complementary perspectives is seen throughout the book; key concepts are motivated and explained through real-world examples, and yet are still formalized with mathematical rigor. The book is an excellent introduction to discrete mathematics for computer science, software engineering, and mathematics students. The first author is a leading mathematician in the area of logic, computability, and theoretical computer science, with more than 25 years of teaching and research experience.
The second author is a computer science PhD student at the University of Washington specializing in database systems. The father-and-daughter team merges two different views to create a unified book for students interested in learning discrete mathematics, the connections between discrete mathematics and computer science, and the mathematical foundations of computer science.
Readers will learn how to formally define abstract concepts, reason about objects such as programs, graphs and numbers , investigate properties of algorithms, and prove their correctness. The textbook studies several well-known algorithmic problems including the path problem for graphs and finding the greatest common divisor, inductive definitions, proofs of correctness of algorithms via loop invariants and induction, the basics of formal methods such as propositional logic, finite state machines, counting, probability, as well as the foundations of databases such as relational calculus.
This text is a semester course in the basic mathematical and theoretical foundations of computer science. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises. The text requires only precalculus, and where calculus is needed, a quick summary of the basic facts is provided.
Essential Discrete Mathematics for Computer Science is the ideal introductory textbook for standard undergraduate courses, and is also suitable for high school courses, distance education for adult learners, and self-study. The essential introduction to discrete mathematics Features thirty-one short chapters, each suitable for a single class lesson Includes more than exercises Almost every formula and theorem proved in full Breadth of content makes the book adaptable to a variety of courses Each chapter includes a concise summary Solutions manual available to instructors.
We have also made numerous minor modifications in the second edition that make the text easier to read, improve clarity, or correct errata. Most chapters begin with an example that sets the stage for its content.
Chapter 1 begins by setting the stage for the whole book: How do you design algorithms to solve computing problems? How do you know your algorithm will work correctly for every suitable input?
How long will your algorithm take to generate its output? In our view, teaching is much more than presenting content, and we have written this text as a design for the experience of students with our subject.
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