Mathematics of Discrete Structures for Computer Science

For three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or science Clarity and precision Thomas' Calculus helps students reach

In this practical guide, experienced educators present classroom ideas and activities for teaching science, technology, engineering and mathematics (STEM) at levels K-college. Ideas for engaging girls

A thorough, systematic 1st course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background, and including many exercises desig

《多元復分析導論》內容簡介：The idea for this book came when I was an assistant at the Department of Mathe-matics and Computer Science at the Philipps-University Marburg, Germany. Sev-eral times I faced the task of

This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self

Mathematicians from Leibniz to Hilbert have sought to mechanise the verification of mathematical proofs. Developments arising out of Gödel's proof of his incompleteness theorem showed that no computer program could automatically prove true all the theorems of mathematics. In practice, however, there are a number of sophisticated automated reasoning programs that are quite effective at checking mathematical proofs. Now in paperback, this book describes the use of a computer program to check the proofs of several celebrated theorems in metamathematics including Gödel's incompleteness theorem and the Church–Rosser theorem. The computer verification using the Boyer–Moore theorem prover yields precise and rigorous proofs of these difficult theorems. It also demonstrates the range and power of automated proof checking technology. The mechanisation of metamathematics itself has important implications for automated reasoning since metatheorems can be applied by labour-saving devices to simpli

Where did SARS come from? Have we inherited genes from Neanderthals? How do plants use their internal clock? The genomic revolution in biology enables us to answer such questions. But the revolution would have been impossible without the support of powerful computational and statistical methods that enable us to exploit genomic data. Many universities are introducing courses to train the next generation of bioinformaticians: biologists fluent in mathematics and computer science, and data analysts familiar with biology. This readable and entertaining book, based on successful taught courses, provides a roadmap to navigate entry to this field. It guides the reader through key achievements of bioinformatics, using a hands-on approach. Statistical sequence analysis, sequence alignment, hidden Markov models, gene and motif finding and more, are introduced in a rigorous yet accessible way. A companion website provides the reader with Matlab-related software tools for reproducing the steps de

Neurons in the brain communicate by short electrical pulses, the so-called action potentials or spikes. How can we understand the process of spike generation? How can we understand information transmission by neurons? What happens if thousands of neurons are coupled together in a seemingly random network? How does the network connectivity determine the activity patterns? And, vice versa, how does the spike activity influence the connectivity pattern? These questions are addressed in this 2002 introduction to spiking neurons aimed at those taking courses in computational neuroscience, theoretical biology, biophysics, or neural networks. The approach will suit students of physics, mathematics, or computer science; it will also be useful for biologists who are interested in mathematical modelling. The text is enhanced by many worked examples and illustrations. There are no mathematical prerequisites beyond what the audience would meet as undergraduates: more advanced techniques are introd

Augmented Reality (AR) is one of today's fastest-growing areas of computer science and application development. AR overlays computer-generated information on views of the real world, amplifying human

Leveson (computer science and engineering, U. of Washington) summarizes what is known about the safety of electromechanical systems, particularly those operated or monitored by computer. Emphasizing t

Computational experiments on algorithms can supplement theoretical analysis by showing what algorithms, implementations and speed-up methods work best for specific machines or problems. This book guides the reader through the nuts and bolts of the major experimental questions: What should I measure? What inputs should I test? How do I analyze the data? To answer these questions the book draws on ideas from algorithm design and analysis, computer systems, and statistics and data analysis. The wide-ranging discussion includes a tutorial on system clocks and CPU timers, a survey of strategies for tuning algorithms and data structures, a cookbook of methods for generating random combinatorial inputs, and a demonstration of variance reduction techniques. The book can be used by anyone who has taken a course or two in data structures and algorithms. A companion website, AlgLab (www.cs.amherst.edu/alglab) contains downloadable files, programs and tools for use in experimental projects.

Computational experiments on algorithms can supplement theoretical analysis by showing what algorithms, implementations and speed-up methods work best for specific machines or problems. This book guides the reader through the nuts and bolts of the major experimental questions: What should I measure? What inputs should I test? How do I analyze the data? To answer these questions the book draws on ideas from algorithm design and analysis, computer systems, and statistics and data analysis. The wide-ranging discussion includes a tutorial on system clocks and CPU timers, a survey of strategies for tuning algorithms and data structures, a cookbook of methods for generating random combinatorial inputs, and a demonstration of variance reduction techniques. The book can be used by anyone who has taken a course or two in data structures and algorithms. A companion website, AlgLab (www.cs.amherst.edu/alglab) contains downloadable files, programs and tools for use in experimental projects.

This textbook is ideal for MATLAB/Introduction to Programming courses in both Engineering and Computer Science departments. It is also a suitable introduction for beginning programmers. Engineering

Applying Maths in the Chemical and Biomolecular Sciences uses an extensive array of examples to demonstrate how mathematics can be applied to chemical and biological systems. Integrating computer so

I am very much aware that it is an act of extreme rashness to attempt to write an elementary book about structures. Indeed it is only when the subject is stripped of its mathematics that one begins to

Ceramic Materials: Science and Engineering is an up-to-date treatment of ceramic science, engineering, and applications in a single, comprehensive text. Building on a foundation of crystal structures,

Classical computer science textbooks tell us that some problems are 'hard'. Yet many areas, from machine learning and computer vision to theorem proving and software verification, have defined their own set of tools for effectively solving complex problems. Tractability provides an overview of these different techniques, and of the fundamental concepts and properties used to tame intractability. This book will help you understand what to do when facing a hard computational problem. Can the problem be modelled by convex, or submodular functions? Will the instances arising in practice be of low treewidth, or exhibit another specific graph structure that makes them easy? Is it acceptable to use scalable, but approximate algorithms? A wide range of approaches is presented through self-contained chapters written by authoritative researchers on each topic. As a reference on a core problem in computer science, this book will appeal to theoreticians and practitioners alike.

TeX represents the state-of-the-art in computer typesetting. It is particularly valuable where the document, article, or book to be produced contains a lot of mathematics, and where the user is concer

Today, women earn a relatively low percentage of computer science degrees and hold proportionately few technical computing jobs. Meanwhile, the stereotype of the male "computer geek" seems to be every

Graphs arise as mathematical models in many diverse fields (computer science, engineering, chemistry, management science, social science, and resource planning), and the theory of graphs provides a sp

This book on MAPLE 7, the latest version of a computer algebra system, serves as an introduction to MAPLE and as a reference. Organized according to level and subject area of mathematics, it first cov

The reliable detection of low-level image structures is an old and still challenging problem in computer vision. This book leads a detailed tour through the LSD algorithm, a line segment detector desi

Semiotics, the science of signs, has long been recognised as an important discipline for understanding information and communications. Moreover it has found wide application in other areas of computer science, as it offers an effective insight into organisations and the computer systems that support them. An organisation may be viewed as a system of information and communication in which human actors, with the assistance of information technology, are able to process, represent, store and consume information. Computer systems that fit into an organisation and that support and enhance its performance and competitiveness, can be better delivered if semiotic principles are understood and applied. In this book, first published in 2000, semiotic methods are introduced and illustrated through three major case studies, which demonstrate how information systems can be developed to meet business requirements and support business objectives. It will appeal to academics, systems developers and an

Semiotics, the science of signs, has long been recognised as an important discipline for understanding information and communications. Moreover it has found wide application in other areas of computer science, as it offers an effective insight into organisations and the computer systems that support them. An organisation may be viewed as a system of information and communication in which human actors, with the assistance of information technology, are able to process, represent, store and consume information. Computer systems that fit into an organisation and that support and enhance its performance and competitiveness, can be better delivered if semiotic principles are understood and applied. In this book, first published in 2000, semiotic methods are introduced and illustrated through three major case studies, which demonstrate how information systems can be developed to meet business requirements and support business objectives. It will appeal to academics, systems developers and an

This easy-to-use, classroom-tested textbook covers the C programming language for computer science and IT students. Designed for a compulsory fundamental course, it presents the theory and principles

The correct functioning of the mammalian brain depends on the integrated activity of myriad neuronal and non-neuronal cells. Discrete areas serve discrete functions, and dispersed or distributed communities of cells serve others. Throughout, these networks of activity are under the control of neuromodulatory systems. One goal of current neuroscientific research is to elucidate the precise methods by which these systems operate, especially during normal conscious behaviours and processes. Mircea Steriade and Denis Paré describe the neuronal properties and networks that exist within and between the cortex and two important sub-cortical structures: the thalamus and amygdala. The authors explore the changes in these properties, covering topics including morphology, electrophysiology, architecture and gating; and comparing regions and systems in both normal and diseased states. Aimed at graduates and postdoctoral researchers in neuroscience.

Communication Systems and Information Theory. A Measure of Information. Coding for Discrete Sources. Discrete Memoryless Channels and Capacity. The Noisy-Channel Coding Theorem. Techniques f

Introduction to Atmospheric Modelling explores the power of mathematics to help us understand complex atmospheric phenomena through mathematical modelling. The author has thoughtfully chosen a path into and through the subject that gives the reader a glimpse of the dynamics underlying phenomena ranging from a sea breeze through mid-latitude cyclonic disturbances to Rossby waves, mainly through the lens of scaling analysis. Written for students with backgrounds in mathematics, physics and engineering, this book will be a valuable resource as they begin studying atmospheric science.

"This book discusses embedded systems, communication system engineering, and real-time systems in an integrated manner and covers advancements in the fields of computer science, computer engineering,

This book has been designed for a first course on digital design for engineering and computer science students. It offers an extensive introduction on fundamental theories, from Boolean algebra and bi

This book has been designed for a first course on digital design for engineering and computer science students. It offers an extensive introduction on fundamental theories, from Boolean algebra and bi

"This book is appropriate for an applied numerical analysis course for upper-level undergraduate and graduate students as well as computer science students. Actual programming is not covered, but an e

Based on a semester course taught in Greece for many years to science, engineering, and mathematics students. Discusses continuity and linearity, differentiability and analyticity, extrema, existence,

International contributors in computer science, information technology, and business information systems present original research studies, experience reports, best practices, and case studies for com

Schlesinger (Computer Science, Kennesaw State University) presents a practical guide for developing useful software applications that are high performing, secure, reliable, and configurable. Expanding

For business professionals and advanced undergraduates and graduate students in computer science and related fields, Akerkar (Technomathematics Research Foundation and Western Norway Research Institut

Academics, researchers, and practitioners in computer science, network architecture, network security, and systems administration examine networking technologies that provide promise for future use in

"Introduction to Computational Science" was developed over a period of two years at the University of Utah Department of Computer Science in conjunction with the U.S. Department of Energy-funded Under

This book is concerned with partial differential equations applied to fluids problems in science and engineering and is designed for two potential audiences. First, this book can function as a text for a course in mathematical methods in fluid mechanics in non-mathematics departments or in mathematics service courses. The authors have taught both. Second, this book is designed to help provide serious readers of journals (professionals, researchers, and graduate students) in analytical science and engineering with tools to explore and extend the missing steps in an analysis. The topics chosen for the book are those that the authors have found to be of considerable use in their own research careers. These topics are applicable in many areas, such as aeronautics and astronautics; biomechanics; chemical, civil, and mechanical engineering; fluid mechanics; and geophysical flows. Continuum ideas arise in other contexts, and the techniques included have applications there as well.

This book is concerned with partial differential equations applied to fluids problems in science and engineering and is designed for two potential audiences. First, this book can function as a text for a course in mathematical methods in fluid mechanics in non-mathematics departments or in mathematics service courses. The authors have taught both. Second, this book is designed to help provide serious readers of journals (professionals, researchers, and graduate students) in analytical science and engineering with tools to explore and extend the missing steps in an analysis. The topics chosen for the book are those that the authors have found to be of considerable use in their own research careers. These topics are applicable in many areas, such as aeronautics and astronautics; biomechanics; chemical, civil, and mechanical engineering; fluid mechanics; and geophysical flows. Continuum ideas arise in other contexts, and the techniques included have applications there as well.