Mathematics of Discrete Structures for Computer Science

Master the fundamentals of discrete mathematics and proof-writing with MATHEMATICS: A DISCRETE INTRODUCTION! With a clear presentation, the mathematics text teaches you not only how to write proofs, b

Computing is an exact science and the systematic study of any aspect necessarily involves the use of mathematical models. Moreover, the rate at which the subject is evolving demands a facility for developing new mathematical systems to keep pace with new computing systems and this requires an appreciation of how mathematics works. An understanding of the underlying mathematical structure facilitates the construction of suitable computer programs to perform computations. Assuming no specific knowledge of mathematics, the authors describe all the basic concepts required and progress from sets (rather than numbers) through a variety of algebraic structures that permit the precise description, specification and subsequent analysis of many problems in computing. The material included provides the essential mathematical foundations for core topics of computer science and extends into the areas of language theory, abstract machine theory and computer geometry. Computer Mathematics will be of

Provides a sampling of the burgeoning field of artificial neural network theory. It considers areas of discrete mathematics linking combinatorics and the theory of the simplest types of artificial neu

The text offers a curriculum guide for mathematics teachers that focuses on the overarching pedagogy of teaching math. The text argues that Common Core offers social justice, leadership opportunities,

Text for an advanced-undergraduate course in applied or modern algebra assumes a prior course in linear algebra. The treatment is fairly rigorous, with almost every proof supplied, but the concentrati

Reflecting many of the recent advances and trends in this area, Discrete Structures with Contemporary Applications covers the core topics in discrete structures as well as an assortment of novel appli

Tackling infectious disease, understanding radicalisation, improving productivity, siting new airport capacity, getting people to save for retirement – nearly all the issues facing the UK now and in t

The students of computer science at Herat University have even fought for their right to study, young women as well as Their yearning for education was the driving force for the establishment of their

Drawing from existing theory, policy, practice and speculative design about how cities may evolve, the book illustrates key concepts using case studies that respond to the complex relationships betwee

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 sp

This book is a clear and self-contained introduction to discrete mathematics. Aimed mainly at undergraduate and early graduate students of mathematics and computer science, it is written with the goal

This book is ideal for a first or second year discrete mathematics course for mathematics, engineering, and computer science majors. The author has extensively class-tested early conceptions of the book over the years and supplements mathematical arguments with informal discussions to aid readers in understanding the presented topics. "Safe" - that is, paradox-free - informal set theory is introduced following on the heels of Russell's Paradox as well as the topics of finite, countable, and uncountable sets with an exposition and use of Cantor's diagonalisation technique. Predicate logic "for the user" is introduced along with axioms and rules and extensive examples. Partial orders and the minimal condition are studied in detail with the latter shown to be equivalent to the induction principle. Mathematical induction is illustrated with several examples and is followed by a thorough exposition of inductive definitions of functions and sets. Techniques for solving recurrence relations i

All researchers need to write or speak about their work, and to have research that is worth presenting. Based on the author's decades of experience as a researcher and advisor, this third edition prov