Mathematics of Discrete Structures for Computer Science

For 3- to 4-semester courses covering single-variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences, or economics. T he most successful new calculu

This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts

This is an introduction to stochastic integration and stochastic differential equations written in an understandable way for a wide audience, from students of mathematics to practitioners in biology,

This Third Edition includes basic modern tools of computational mathematics for boundary value problems and also provides the foundational mathematical material necssary to understand and use the too

After outlining the history of African American education and setting the context for current performance, three chapters consider the curriculum in the social sciences, mathematics and special educat

This text for advanced undergraduates and graduate students surveys the use of Fibonacci and Lucas numbers in areas relevant to operational research, statistics, and computational mathematics. It also

Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presentin

As an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is ideal for both graduate and undergraduate mathematics students.

In this supplementary undergraduate text, Steeb (applied mathematics, Rand Afrikaans University) walks through the solution of 154 problems for engineering students learning how to work with the discr

This book describes a completely novel mathematical development which has already influenced probability theory and has potential for application to engineering and to areas of pure mathematics. Inten

The application of modern methods in numerical mathematics on problems in chemical engineering is essential for designing, analyzing and running chemical processes and even entire plants. Scientific C

The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediat

From the reviews: "A good introduction to a subject important for its capacity to circumvent theoretical and practical obstacles, and therefore particularly prized in the applications of mathematics.

Forensic Criminology: the scientific study of crime and criminals for the purposes of addressing investigative and legal issues. It is a science, a behavioral science, and a forensic science. This tex

Advances in nanotechnology have generated semiconductor structures that are only a few molecular layers thick, and this has important consequences for the physics of electrons and phonons in such structures. This book describes in detail how confinement of electrons and phonons in quantum wells and wires affects the physical properties of the semiconductor. This second edition contains four new chapters on spin relaxation, based on recent theoretical research; the hexagonal wurtzite lattice; nitride structures, whose novel properties stem from their spontaneous electric polarization; and terahertz sources, which includes an account of the controversies that surrounded the concepts of Bloch oscillations and Wannier-Stark states. The book is unique in describing the microscopic theory of optical phonons, the radical change in their nature due to confinement, and how they interact with electrons. It will interest graduate students and researchers working in semiconductor physics.

Advances in nanotechnology have generated semiconductor structures that are only a few molecular layers thick, and this has important consequences for the physics of electrons and phonons in such structures. This book describes in detail how confinement of electrons and phonons in quantum wells and wires affects the physical properties of the semiconductor. This second edition contains four new chapters on spin relaxation, based on recent theoretical research; the hexagonal wurtzite lattice; nitride structures, whose novel properties stem from their spontaneous electric polarization; and terahertz sources, which includes an account of the controversies that surrounded the concepts of Bloch oscillations and Wannier-Stark states. The book is unique in describing the microscopic theory of optical phonons, the radical change in their nature due to confinement, and how they interact with electrons. It will interest graduate students and researchers working in semiconductor physics.

C++ is the language behind most of today's computer games. This 96-page C++ Game Development Primer takes you through the accelerated process of writing games for otherwise experienced C++ programmers

In landscape architecture, representation has become the subject of contention and much discussion. While computer techniques have been a catalyst for change across the field of design as a whole, now

Malicious software (i.e., malware) has become a severe threat to interconnected computer systems for decades and has caused billions of dollars damages each year. A large volume of new malware samples

This latest edition in a range of super successful DK encyclopedias for children features hundreds of photographs and computer generated images bringing extinct animals back to life in this visual cel

Recent advances in the fields of knowledge representation, reasoning and human-computer interaction have paved the way for a novel approach to treating and handling context. The field of research pres

This book gives a comprehensive view of the most recent major international research in the field of tolerancing, and is an excellent resource for anyone interested in Computer Aided Tolerating.It is

Learn the essentials of Microsoft Office with Microsoft Office 2010 Fundamentals, part of the Origins Series. This text is ideal for inexperienced computer users who need to learn Microsoft Office 201

Johnson, a prolific writer in the fields of computer software and software training, offers a visual-based reference for users of Adobe Flash Professional CS4. Screen shots and illustrations depict de

Computer simulations not only belong to the most important methods for the theoretical investigation of granular materials, but also are provide the tools that have enabled much of the expanding resea

CALL Research Perspectives creates a foundation for the study and practice of computer-assisted language learning and provides an overview of ways to conceptualize and to conduct research in CALL. Its

Digital Equipment Corporation achieved sales of over $14 billion, reached the Fortune 50, and was second only to IBM as a computer manufacturer. Though responsible for the invention of speech recognit

This is a timely book in light of increasing concern over global warming and environmental pollution. It describes a simulation system based on sets of computer algorithms for comprehensive analysis o

This new edition of Digital Control and State Variable Methods presents control theory relevant to the analysis and design of computer-control systems. Meant for the undergraduate and post graduate co

This text for the first two terms in the college calculus sequence begins with a self-test on pre-calculus mathematics. After a review of functions, coverage progresses from limit of a function throug

IBM is heir to all the ideas for innovative ciphering machines of the past. From granite blocks used to tell time, to beads used for accounting purposes, to punch cards, to computer chips as small as

For Kimiko Hahn, the language and imagery of science open up magical possibilities for the poet. Inspired by articles from the weekly "Science Times" section of the New York Times, Hahn explores iden

This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.

This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.

A household name for his role in the founding of ubiquitous computer software company Microsoft, Bill Gates is one of the world's great businessmen. Brought up to compete rigorously in all areas of hi

Guest-edited by Neil LeachWhat is the impact of digital technologies on the design and analysis of cities? For the last 15 years, the profound impact of computer-aided techniques on architecture has b

What is knowledge and how is it represented? This book focuses on the idea of formalising knowledge as relations, interpreting knowledge represented in databases or logic programs as relational data and discovering new knowledge by identifying hidden and defining new relations. After a brief introduction to representational issues, the author develops a relational language for abstract machine learning problems. He then uses this language to discuss traditional methods such as clustering and decision tree induction, before moving onto two previously underestimated topics that are just coming to the fore: rough set data analysis and inductive logic programming. Its clear and precise presentation is ideal for undergraduate computer science students. The book will also interest those who study artificial intelligence or machine learning at the graduate level. Exercises are provided and each concept is introduced using the same example domain, making it easier to compare the individual pro

What is knowledge and how is it represented? This book focuses on the idea of formalising knowledge as relations, interpreting knowledge represented in databases or logic programs as relational data and discovering new knowledge by identifying hidden and defining new relations. After a brief introduction to representational issues, the author develops a relational language for abstract machine learning problems. He then uses this language to discuss traditional methods such as clustering and decision tree induction, before moving onto two previously underestimated topics that are just coming to the fore: rough set data analysis and inductive logic programming. Its clear and precise presentation is ideal for undergraduate computer science students. The book will also interest those who study artificial intelligence or machine learning at the graduate level. Exercises are provided and each concept is introduced using the same example domain, making it easier to compare the individual pro

This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject.

This book is intended for students who have completed an elementary course of calculus and are taking the subject further, more particularly, perhaps, on account of its applications in physics and engineering. It covers the ground of a calculus course at first-year level in universities and colleges of technology for students majoring in mathematics. It thus fills a gap between the numerous introductory texts and those on advanced analysis in which this material is embedded in a great deal of other matter. The emphasis is on essentials. Principles are treated rigourously while avoiding unnecessary difficulties for the student for whom mathematics is an ancillary subject. An original feature is the prominence given to the asymptotic property of the Taylor formula. The large number of examples has been carefully chosen to bring out the main points rather than to test manipulative ability; answers are given.