Mathematics of Discrete Structures for Computer Science

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, writ

Analysis, assessment, and data management are core tools required for operation research analysts. The April 2011 conference held at the Helenic Military Academy addressed these issues with efforts to

Math and science hold powerful places in contemporary society, setting the foundations for entry into some of the most robust and highest-paying industries. However, effective math and science educati

Math and science hold powerful places in contemporary society, setting the foundations for entry into some of the most robust and highest-paying industries. However, effective math and science educati

Hilary Putnam’s unceasing self-criticism has led to the frequent changes of mind he is famous for, but his thinking is also marked by considerable continuity. A simultaneous interest in science and et

While many individuals have discovered discrete connections among origami, mathematics, science, technology, and education during the twentieth century, the field really took off when previously isola

Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded excitin

A Balanced Introduction to Computer Science, 3/e is ideal for Introduction to Computing and the Web courses in departments of Math and Computer Science. This thoughtfully written text uses the Inte

Topics and FeaturesProvides a thorough discussion of several tasks for image processing, pattern recognition, computer vision, robotics and computer graphics using the geometric algebra frameworkIntr

The connections between origami, mathematics, science, technology, and education have been a topic of considerable interest now for several decades. While many individuals have happened upon discrete

This is an entry level text for a wide range of courses in computer science, medicine, health sciences, social sciences, business, engineering and science. Using the phenomenally successful approach o

Until recently, all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, whic

First published in 1996, this collection of essays by distinguished computer scientists celebrates the achievements of research and speculates about the unsolved problems in computer science that require future investigation. Since the subject stretches from technology in the field, through engineering design to foundations in mathematics, there is a wide variety of concerns and approaches among the authors. The book's purpose is to show that long-term research in computer science is crucial and that it must not be driven solely by commercial considerations. The authors do not shirk the difficult aspects of their topics, but try to expose them in the simplest terms possible without diluting them, in order that the reader can understand the issues involved. Thus the book also represents a broad overview of much of the state of knowledge and future expectations of computer science, illustrating that it is much more than a technology and it is a fully fledged and growing intellectual disc

The multidisciplinary field of quantum computing strives to exploit some of the uncanny aspects of quantum mechanics to expand our computational horizons. Quantum Computing for Computer Scientists takes readers on a tour of this fascinating area of cutting-edge research. Written in an accessible yet rigorous fashion, this book employs ideas and techniques familiar to every student of computer science. The reader is not expected to have any advanced mathematics or physics background. After presenting the necessary prerequisites, the material is organized to look at different aspects of quantum computing from the specific standpoint of computer science. There are chapters on computer architecture, algorithms, programming languages, theoretical computer science, cryptography, information theory, and hardware. The text has step-by-step examples, more than two hundred exercises with solutions, and programming drills that bring the ideas of quantum computing alive for today's computer scienc

Physical chemistry, it has been observed, is difficult because of the mathematics, but impossibly difficult without it. For that reason McQuarrie (chemistry, U. of California at Davis) included "MathC

This book intends to lead its readers to some of the current topics of research in the geometry of polyhedral surfaces with applications to computer graphics. The main feature of the book is a systema

You’re a computing or information student with a huge mountain to climb – that final-year research project. Don’t worry, because with this book guardian angels are at hand, in the form of four brillia

This 1994 book develops a way of representing the meanings of linguistic expressions which is independent of any particular language, allowing the expressions to be manipulated in accordance with rules related to their meanings which could be implemented on a computer. It begins with a survey of the contributions of linguistics, logic and computer science to the problem of representation, linking each with a particular type of formal grammar. A system of graphs is then presented, organized by scope relations in which linguistic constituents are sub-graphs whose configuration is determined by their categories. In developing this system, the author extends the notion of scope and argues that anaphoric and relative pronouns are structural signs not linguistic constituents. Certain count nouns are made the basis of this system and an account of proper names relating the count nouns, is given.

Features tasks that model inquiry-based science and helps teachers evaluate learners' acquisition of complex thinking skills, aptitude for science, and ability to make real-world connections.

The Invocation Model of Process Expression argues that mathematics does not provide the most appropriate conceptual foundations for computer science, but, rather, that these foundations are a primary

Mathematics is the essential language of science. It enables us to describe abstract physical concepts, and to apply these concepts in practical ways. Yet mathematical skills and concepts are an aspe

In Geography and GIS, surfaces can be analysed and visualised through various data structures, and topological data structures describe surfaces in the form of a relationship between certain surface-s

Glencoe’s Introduction to Computer Science Using Java provides students with a highly visual way of learning Java programming. This colorful text provides the information needed for students enrolled

Mathematics at all levels is about the joy in the discovery; it's about finding things out. This fascinating book is a guide to that discovery process, presenting ideas for practical classroom-based e

This study describes current deficiencies in teacher education and the teaching profession, matched with recommendations for improvement at every level. Issues of professionalism are highlighted, wit

Get a working knowledge of digital signal processing for computer science applications The field of digital signal processing (DSP) is rapidly exploding, yet most books on the subject do not reflect

Mathematics for Computer Graphics Applications introduces the mathematics that is the foundation of many of today's most advanced computer graphics applications, including CAD/CAM and geometric modeli

First published in 1996, this collection of essays by distinguished computer scientists celebrates the achievements of research and speculates about the unsolved problems in computer science that require future investigation. Since the subject stretches from technology in the field, through engineering design to foundations in mathematics, there is a wide variety of concerns and approaches among the authors. The book's purpose is to show that long-term research in computer science is crucial and that it must not be driven solely by commercial considerations. The authors do not shirk the difficult aspects of their topics, but try to expose them in the simplest terms possible without diluting them, in order that the reader can understand the issues involved. Thus the book also represents a broad overview of much of the state of knowledge and future expectations of computer science, illustrating that it is much more than a technology and it is a fully fledged and growing intellectual disc

This 1994 book develops a way of representing the meanings of linguistic expressions which is independent of any particular language, allowing the expressions to be manipulated in accordance with rules related to their meanings which could be implemented on a computer. It begins with a survey of the contributions of linguistics, logic and computer science to the problem of representation, linking each with a particular type of formal grammar. A system of graphs is then presented, organized by scope relations in which linguistic constituents are sub-graphs whose configuration is determined by their categories. In developing this system, the author extends the notion of scope and argues that anaphoric and relative pronouns are structural signs not linguistic constituents. Certain count nouns are made the basis of this system and an account of proper names relating the count nouns, is given.

This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book i

A committee of the National Research Council recommends a broader and better-planned research and education agenda for computer science and engineering. Not technical, but addressed to industry inside

In this book, the author presents a new vision of learning through design and production, and describes computer programming as a source of a learning and design power. As means of studying this exten

This book is concerned with the static and dynamic analysis of structures. Specifi- cally, it uses the stiffness formulated matrix methods for use on computers to tackle some of the fundamental proble

This textbook, covering the basic mathematics taught to first-year students of science and engineering, reflects the growing awareness that ancillary mathematics should not be taught in isolation from its applications. Topics covered include calculus, ordinary and partial differential equations and statistics. Each chapter starts with two or three examples setting the new techniques to be studied in the context of the scientific world; the mathematics is then presented, along with worked examples. Numerical methods are integrated with analytical techniques where appropriate. The resulting textbook provides the teacher with a rich and varied source of applications for classroom use and students with a textbook for self-learning, giving insight into the significance and role of mathematics in science and engineering.

To perform computer simulation successfully, two rather different sets of skills are required. One of these relates to programming: a simulation program should do what its author intends and do it efficiently. The other is concerned with the collection and analysis of data: statistical tools have to be used in order to obtain with a minimum of effort, accurate and reliable estimates for the desired performance measures. Dr Mitrani covers both of these aspects of the simulation method. The important topics of point and interval estimation, simulation efficiency and the analysis of simulation experiments are discussed in detail. This book, first published in 1982, will be useful to both undergraduate and postgraduate students taking courses on simulation in departments of computer science, operations research and statistics in universities and polytechnics. It will be of benefit also to practitioners in the field.

Increase student comprehension through in-depth examinations of content-area texts.This comprehensive resource provides teachers with leveled question stems at four different content-areas for student