Mathematics of Discrete Structures for Computer Science

Public key cryptography is a major interdisciplinary subject with many real-world applications, such as digital signatures. A strong background in the mathematics underlying public key cryptography is essential for a deep understanding of the subject, and this book provides exactly that for students and researchers in mathematics, computer science and electrical engineering. Carefully written to communicate the major ideas and techniques of public key cryptography to a wide readership, this text is enlivened throughout with historical remarks and insightful perspectives on the development of the subject. Numerous examples, proofs and exercises make it suitable as a textbook for an advanced course, as well as for self-study. For more experienced researchers it serves as a convenient reference for many important topics: the Pollard algorithms, Maurer reduction, isogenies, algebraic tori, hyperelliptic curves and many more.

Intended for second semester computer science students, this textbook on Java programming examines the details of data structures in relation to application development with this popular programming l

This two-volume set (CCIS 158 and CCIS 159) constitutes the refereed proceedings of the International Workshop on Computer Science for Environmental Engineering and EcoInformatics, CSEEE 2011, held in

This two-volume set (CCIS 158 and CCIS 159) constitutes the refereed proceedings of the International Workshop on Computer Science for Environmental Engineering and EcoInformatics, CSEEE 2011, held in

In many practical situations, we are interested in statistics characterizing a population of objects: e.g. in the mean height of people from a certain area. Most algorithms for estimating such statist

In his 2004 book Game Work, Ken S. McAllister proposed a rigorous critical methodology for the discussion of the “video game complex”—the games themselves, their players, the industry that produces th

Games provide mathematical models for interaction. Numerous tasks in computer science can be formulated in game-theoretic terms. This fresh and intuitive way of thinking through complex issues reveals underlying algorithmic questions and clarifies the relationships between different domains. This collection of lectures, by specialists in the field, provides an excellent introduction to various aspects of game theory relevant for applications in computer science that concern program design, synthesis, verification, testing and design of multi-agent or distributed systems. Originally devised for a Spring School organised by the GAMES Networking Programme in 2009, these lectures have since been revised and expanded, and range from tutorials concerning fundamental notions and methods to more advanced presentations of current research topics. This volume is a valuable guide to current research on game-based methods in computer science for undergraduate and graduate students. It will also in

A unique introduction to the design, analysis, and presentation of scientific projects, this is an essential textbook for undergraduate majors in science and mathematics. The textbook gives an overview of the main methods used in scientific research, including hypothesis testing, the measurement of functional relationships, and observational research. It describes important features of experimental design, such as the control of errors, instrument calibration, data analysis, laboratory safety, and the treatment of human subjects. Important concepts in statistics are discussed, focusing on standard error, the meaning of p values, and use of elementary statistical tests. The textbook introduces some of the main ideas in mathematical modeling, including order-of-magnitude analysis, function fitting, Fourier transforms, recursion relations, and difference approximations to differential equations. It also provides guidelines on accessing scientific literature, and preparing scientific paper

The Physics of Polymers presents the elements of this important segment of material science, focusing on concepts above experimental techniques and theoretical methods. The book introduces and discuss

This volume contains the proceedings of the conference "Casimir Force, Casimir Operators and the Riemann Hypothesis–Mathematics for Innovation in Industry and Science" held in Novemb

In the preface this book notes how computer vision is still at an "immature" stage of development and how much research, until recently, has only been devoted to specific tasks. This volume is intende

This text/reference for students of biology offers a comparative study of the body systems of various classes of vertebrates. Opening chapters cover diversity, distribution, and characteristics of ver

Editors Mullenix and Stern (psychology, U. of Pittsburgh at Johnstown) and 35 co-authors offer a book intended to help practitioners and future practitioners work with speech-disabled people who want

First published in 1993, this thesis is concerned with the design of efficient algorithms for listing combinatorial structures. The research described here gives some answers to the following questions: which families of combinatorial structures have fast computer algorithms for listing their members? What general methods are useful for listing combinatorial structures? How can these be applied to those families which are of interest to theoretical computer scientists and combinatorialists? Amongst those families considered are unlabelled graphs, first order one properties, Hamiltonian graphs, graphs with cliques of specified order, and k-colourable graphs. Some related work is also included, which compares the listing problem with the difficulty of solving the existence problem, the construction problem, the random sampling problem, and the counting problem. In particular, the difficulty of evaluating Pólya's cycle polynomial is demonstrated.

Discrete Event System Simulation is ideal for junior- and senior-level simulation courses in engineering, business, or computer science. It is also a useful reference for professionals in operations

Confusing Textbooks? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on e

Human behavior is never an exact science, making the design and programming of artificial intelligence that seeks to replicate human behavior difficult. Usually, the answers cannot be found in steril

"Take advantage of what this volume offers. You will be in a better position to make well-informed decisions because you will be able to see the full sweep of what constitutes quality professional dev

Human-Computer Interaction draws on the fields of computer science, psychology, cognitive science, and organisational and social sciences in order to understand how people use and experience interactive technology. Until now, researchers have been forced to return to the individual subjects to learn about research methods and how to adapt them to the particular challenges of HCI. This book provides a single resource through which a range of commonly used research methods in HCI are introduced. Chapters are authored by internationally leading HCI researchers who use examples from their own work to illustrate how the methods apply in an HCI context. Each chapter also contains key references to help researchers find out more about each method as it has been used in HCI. Topics covered include experimental design, use of eyetracking, qualitative research methods, cognitive modelling, how to develop new methodologies and writing up your research.

The importance of computer graphics is spreading beyond the computer science discipline and graphics experts. This new introduction to computer graphics is perfect for any school that does not focus s

A good grasp of the theory of structures - the theoretical basis by which the strength, stiffness and stability of a building can be understood - is fundamental to structural engineers and architects. Yet most modern structural analysis and design is carried out by computer, with the user isolated from the processes in action. This book provides a broad introduction to the mathematics behind a range of structural processes. The basic structural equations have been known for at least 150 years, but modern plastic theory has opened up a fundamentally new way of advancing structural theory. Paradoxically, the powerful plastic theorems can be used to examine 'classic' elastic design activity, and strong mathematical relationships exist between these two approaches. Some of the techniques used in this book may be familiar to the reader, and some may not, but each of the topics examined will give the structural engineer valuable insight into the basis of the subject. This lucid volume provid

A groundbreaking, unifying theory of computer science for low-cost, high-quality software The Cognitive Dynamics of Computer Science represents the culmination of more than thirty years

The aim of this book is to provide a concise and understandable review of the physics, mathematics, statistics, physiology and pharmacology of anaesthesia. A revised edition of a book originally titled Anaesthetic Data Interpretation, the new title better reflects the contents of the book. There are several additional chapters relevant to the Primary FRCA examination. New topics covered include the ventilatory response to oxygen and carbon dioxide, which is now a core knowledge requirement, new concepts in cardiovascular physiology, receptor types and the molecular actions of anaesthetics. Some of the revisions reflect advances in technology; for example, the uses of the capnograph and the oxygen analyser have advanced considerably in recent years. Basic Science for Anaesthetists is a concise and informative text which will be invaluable for trainee anaesthetists, and an aid to teaching for the trainers.

Essential Mathematics for Political and Social Research addresses an educational deficiency in the social and behavioral sciences. This 2006 book was the first of its kind to specifically address the comprehensive introduction to the mathematical principles needed by modern social scientists. The material introduces basic mathematical principles necessary to do analytical work in the social sciences, starting from first principles, but without unnecessary complexity. The core purpose is to present fundamental notions in standard notation and standard language with a clear, unified framework throughout. Through examples and exercises, this book is intended to not only motivate specific mathematical principles and practices, but also introduce the way that social science researchers use these tools. The intended emphasis is on conceptual understanding of key principles and their subsequent application.

Essential Mathematics for Political and Social Research addresses an educational deficiency in the social and behavioral sciences. This 2006 book was the first of its kind to specifically address the comprehensive introduction to the mathematical principles needed by modern social scientists. The material introduces basic mathematical principles necessary to do analytical work in the social sciences, starting from first principles, but without unnecessary complexity. The core purpose is to present fundamental notions in standard notation and standard language with a clear, unified framework throughout. Through examples and exercises, this book is intended to not only motivate specific mathematical principles and practices, but also introduce the way that social science researchers use these tools. The intended emphasis is on conceptual understanding of key principles and their subsequent application.

Writing for undergraduate life science students, Mackenzie (biological sciences, U. of Essex, UK) provides a review of mathematics and statistics with a biological context and examples. Chapters clari

"Weaving the World is a well-written and lucid overview of Simone Weil's writings on science and mathematics. This book will be of great benefit for anyone who wishes to pursue Weil's thought in depth

Discrete mathematics is fundamental to computer science, and this text covers its ideas and mathematical language. Features counting and listing, functions, decision trees and recursion, and basic con

The topic of 'circle packing' was born of the computer age but takes its inspiration and themes from core areas of classical mathematics. A circle packing is a configuration of circles having a specified pattern of tangencies, as introduced by William Thurston in 1985. This book, first published in 2005, lays out their study, from first definitions to latest theory, computations, and applications. The topic can be enjoyed for the visual appeal of the packing images - over 200 in the book - and the elegance of circle geometry, for the clean line of theory, for the deep connections to classical topics, or for the emerging applications. Circle packing has an experimental and visual character which is unique in pure mathematics, and the book exploits that to carry the reader from the very beginnings to links with complex analysis and Riemann surfaces. There are intriguing, often very accessible, open problems throughout the book and seven Appendices on subtopics of independent interest. Th

* Recommended by T.Basar, SC series ed.* This text addresses a new, active area of research and fills a gap in the literature. * Bridges mathematics, engineering, and computer science; considers stoc

Mathematics for Electrical Engineering and Computing embraces many applications of modern mathematics, such as Boolean Algebra and Sets and Functions, and also teaches both discrete and continuous sys

This new Java edition of the AP Computer Science manual presents four full-length AP Computer Science practice exams with questions answered and explained. Two are A exams, two are AB exams, and all f

In this book, 13 leading philosophers of science focus on the work of Professor Howard Stein, best known for his study of the intimate connection between philosophy and natural science. Also included

In this book, 13 leading philosophers of science focus on the work of Professor Howard Stein, best known for his study of the intimate connection between philosophy and natural science. Also included

An accessible introduction to probability, stochastic processes, and statistics for computer science and engineering applications This updated and revised edition of the popular classic relates fu

Taking readers to the cutting edge of physics, mathematics, and computer science, Julian Brown tells the dramatic story of the groundbreaking efforts to create a fundamentally new kind of computer tha

Lattice gauge theory is a fairly young research area in Theoretical Particle Physics. It is of great promise as it offers the framework for an ab-initio treatment of the nonperturbative features of st

This book, first published in 1998, is the second in a two volume work and introduces integral and differential calculus, waves, matrices, and eigenvectors for undergraduates in physics and engineering. Together, the two volumes cover all the mathematics needed for an introductory course in the physical sciences. The approach taken is to learn through understanding real examples, showing mathematics as a tool for understanding physical systems and their behaviour. The aim is to make the student feel at home with real problems by creating a toolkit through a wide range of examples. The traditional approach of teaching theory for its own sake is not used in this course. Dr. Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.

This book, first published in 1998, is the second in a two volume work and introduces integral and differential calculus, waves, matrices, and eigenvectors for undergraduates in physics and engineering. Together, the two volumes cover all the mathematics needed for an introductory course in the physical sciences. The approach taken is to learn through understanding real examples, showing mathematics as a tool for understanding physical systems and their behaviour. The aim is to make the student feel at home with real problems by creating a toolkit through a wide range of examples. The traditional approach of teaching theory for its own sake is not used in this course. Dr. Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.