Mathematics of Discrete Structures for Computer Science

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Proceedings of the NATO Advanced Study Institute on Mathematics and Computer Science in Medical Imaging, held in Il Ciocco, Italy, September 21 - October 4, 1986

Ukrainian mathematician and engineer Stakhov draws on his four decades of research into Fibonacci numbers and the Golden Section to set out the fundamentals for a new specialty of mathematics, one he

This book provides the reader with research arising from the Humboldt-Kolleg ‘Proof’ held in Bern in fall 2013, which gathered more than sixty leading experts actively involved with the concept ‘proof

Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different ar

DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics co

This book is intended for a one-semester course in discrete mathematics. Such a course is typically taken by mathematics, mathematics education, and computer science majors, usually in their sophomore

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

The importance of discrete and combinatorial mathematics continues to increase as the range of applications to computer science, electrical engineering, and the biological sciences grows dramatically.

This volume assembles more than three dozen of Professor Knuth's pioneering contributions to discrete mathematics.

Discrete Mathematics with Ducks, Second Edition is a gentle introduction for students who find the proofs and abstractions of mathematics challenging. At the same time, it provides stimulating materia

Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics c

Includes access to student companion website.Updated to align to the latest 2013 ACM/IEEE Computer Science curricula, Discrete Structures, Logic, and Computability, Fourth Edition is designed for the

Computer algebra systems have revolutionized the use of computers within mathematics research, and are currently extending that revolution to the undergraduate mathematics curriculum. But the power of such systems goes beyond simple algebraic or numerical manipulation. This book shows how computer-aided mathematics has reached a level where it can support effectively many of the computations in science and engineering. In addition to treating traditional computer science topics, an introductory course should show scientists and engineers how these computer-based tools can be used to do scientific computations. A valuable text for computer science courses for scientists and engineers, this book should also prove useful to Mathematica users at all levels. Covering the latest release of Mathematica, the book includes useful tips and techniques to help even seasoned users.

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