Mathematics of Discrete Structures for Computer Science

Fluid mechanics is a branch of classical physics that has a rich tradition in applied mathematics and numerical methods. It is at work virtually everywhere, from nature to technology. This broad and fundamental coverage of computational fluid dynamics (CFD) begins with a presentation of basic numerical methods and flows into a rigorous introduction to the subject. A heavy emphasis is placed on the exploration of fluid mechanical physics through CFD, making this book an ideal text for any new course that simultaneously covers intermediate fluid mechanics and computation. Ample examples, problems and computer exercises are provided to allow students to test their understanding of a variety of numerical methods for solving flow physics problems, including the point-vortex method, numerical methods for hydrodynamic stability analysis, spectral methods and traditional CFD topics.

Part of the best-selling Little People, BIG DREAMS series, Alan Turing tells the inspiring story of the father of theoretical computer science and artificial intelligence.In this book from the critica

This book describes, from a computer science viewpoint the software, methods of simulating and analysing crowds with a particular focus on the effects of panic in emergency situations.The power of mod

This book provides comprehensive coverage of the field of outlier analysis from a computer science point of view. It integrates methods from data mining, machine learning, and statistics within the co

Digital Creativity: A Reader addresses the needs of a new discipline that unites creativity of fine art, design, performing arts and film with the technical paradigms of computer science, interface d

This is a user-friendly guide to the art and science of management from Andrew S. Grove, the president of America's leading manufacturer of computer chips. Groves recommendations are equally appropria

Alan Turing 艾倫．圖靈　NEWPart of the best-selling Little People, BIG DREAMS series, Alan Turing tells the inspiring story of the father of theoretical computer science and artificial intelligence.In this

Recently, a new field of computer science was derived, including methods and techniques of problem solving that cannot be easily described by traditional algorithms. This field, called "cognitive comp

This edited volume features a wide spectrum of the latest computer science research relating to cyber deception. Specifically, it features work from the areas of artificial intelligence, game theory,

"Graph-based approaches have been employed extensively in several disciplines such as biology, computer science, chemistry, and so forth. In the 1990s, exploration of the topology of complex networks

Computing and Graphics in Statistics presents issues that arise in the development of integrated statistical software systems which have led to the adaptation of ideas from computer science, particula

Authors Janda (political parties, computer methods, Northwestern U.) and Kwak (political science, Konkuk U., South Korea) provide an examination of the inner workings of political party systems and co

One of the key components of modern physics, quantum mechanics is used in such fields as chemistry, electrical engineering, and computer science. Central to quantum mechanics is Schrodinger's Equation

Over the past 25 years, there has been an explosion of interest in the area of random tilings. The first book devoted to the topic, this timely text describes the mathematical theory of tilings. It starts from the most basic questions (which planar domains are tileable?), before discussing advanced topics about the local structure of very large random tessellations. The author explains each feature of random tilings of large domains, discussing several different points of view and leading on to open problems in the field. The book is based on upper-division courses taught to a variety of students but it also serves as a self-contained introduction to the subject. Test your understanding with the exercises provided and discover connections to a wide variety of research areas in mathematics, theoretical physics, and computer science, such as conformal invariance, determinantal point processes, Gibbs measures, high-dimensional random sampling, symmetric functions, and variational problems

"STEM in the World of Work series provides an age-appropriate and interactive introduction to the nationally recognized Science, Technology, Engineering, and Mathematics career pathway using informal

Describes some of the ways in which people use science, technology, engineering, and mathematics at a zoo, including animal diets, habitat and exhibit design, and energy needs.

Stressing the history of science as well as the relevant physics and mathematics, this volume covers ancient Greek celestial mechanics, the Keplerian Revolution, displacement and kinematics, relativit

Federal and state funding agencies have invested billions of dollars into secondary STEM (Science, Technology, Education, Mathematics) educational reform over the past decade. This volume addresses th

Supramolecular Chemistry deals with the design, synthesis and study of molecular structures held together by non-covalent interactions. Structures of this type are ubiquitous in nature and are frequently used as blueprints for the design of synthetic equivalents. This book is intended to demonstrate the seminal importance of supramolecular chemistry and self-organization in the design and synthesis of novel organic materials, inorganic materials and biomaterials. With contributions from leading workers in the field, the book shows how the bottom-up approach of supramolecular chemistry can be used to synthesize not only new materials, but function specific molecular devices as well. This book will be of interest to researchers and graduate students in chemistry, materials science and physics who need a summary of the most recent developments in the field.

Supramolecular Chemistry deals with the design, synthesis and study of molecular structures held together by non-covalent interactions. Structures of this type are ubiquitous in nature and are frequently used as blueprints for the design of synthetic equivalents. This book is intended to demonstrate the seminal importance of supramolecular chemistry and self-organization in the design and synthesis of novel organic materials, inorganic materials and biomaterials. With contributions from leading workers in the field, the book shows how the bottom-up approach of supramolecular chemistry can be used to synthesize not only new materials, but function specific molecular devices as well. This book will be of interest to researchers and graduate students in chemistry, materials science and physics who need a summary of the most recent developments in the field.

Computer scientists and engineers introduce semantic computing from the perspectives of understanding semantics, data science, data integration, and applications. Among their topics are methods and

Distributed robotics is a rapidly growing, interdisciplinary research area lying at the intersection of computer science, communication and control systems, and electrical and mechanical engineering.

Nemati (U. of North Carolina-Greensboro) gathers international contributors in electrical engineering, computer science, information systems, telecom technology, and project management, in order to ex

International contributors in informatics, electrical engineering, and computer science give insight on the current research status of service-oriented computing (SOC) and service-oriented architectur

Water science and technology is one of the world's largest and most interdisciplinary industries, employing chemists, microbiologists, botanists, zoologists as well as engineers, computer specialists

An introductory primer for kids learning about the “S” in “STEAM” : Science.Little Leonardo’s Fascinating World of Science introduces kids to the vast and varied areas of science and the different types of scientists they can aspire to become. Whether it’s ancient dinosaur bones unearthed by paleontologists, anthropologists studying different cultures around the globe, or new planets discovered by astronomers, there’s bound to be something here any child will find fascinating and appealing.This new series of books featuring illustrations by popular artist Greg Paprocki is the perfect way to encourage your brilliant child’s interest in all facets of the educational STEAM curriculum: Science, Technology, Engineering, the Arts, and Mathematics. Every child will be enticed by the fun and surprising details revealed in Paprocki’s cool and colorful artwork on every page.

Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive up-to-date account of the subject and its ramifications, and meets a critical need for such a text, because no book has been published in this area of classical and modern discrete geometry since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974). The book

This volume contains nine survey articles based on the invited lectures given at the 24th British Combinatorial Conference, held at Royal Holloway, University of London in July 2013. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, matroid theory and automatic counting, as well as connections to coding theory and Bent functions. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results and give a unique preview of cutting-edge developments. The book provides a valuable survey of the present state of knowledge in combinatorics, and will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.

This volume contains survey articles based on the invited lectures given at the Twenty-second British Combinatorial Conference, held in July 2009 at the University of St Andrews. This biennial conference is a well-established international event, with speakers from all over the world. By its nature this volume provides an up-to-date overview of current research activity in several areas of combinatorics, including graph theory, design theory and packing problems. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results, and give a unique preview of the most recent developments. The book provides a valuable survey of the present state of knowledge in combinatorics. It will be useful to research workers and advanced graduate students, primarily in mathematics but also in computer science, statistics and engineering.

Machine learning methods extract value from vast data sets quickly and with modest resources. They are established tools in a wide range of industrial applications, including search engines, DNA sequencing, stock market analysis, and robot locomotion, and their use is spreading rapidly. People who know the methods have their choice of rewarding jobs. This hands-on text opens these opportunities to computer science students with modest mathematical backgrounds. It is designed for final-year undergraduates and master's students with limited background in linear algebra and calculus. Comprehensive and coherent, it develops everything from basic reasoning to advanced techniques within the framework of graphical models. Students learn more than a menu of techniques, they develop analytical and problem-solving skills that equip them for the real world. Numerous examples and exercises, both computer based and theoretical, are included in every chapter. Resources for students and instructors,

Known as the science of strategy, game theory is a branch of mathematics that has gained broad acceptance as a legitimate methodological tool, and has been widely adapted by a number of other fields.

Known as the science of strategy, game theory is a branch of mathematics that has gained broad acceptance as a legitimate methodological tool, and has been widely adapted by a number of other fields.

Leonardo da Vinci (1452–1519) is considered one of the greatest of painters. He was a true Renaissance man, active in fields as diverse as astronomy, painting, sculpture, science, mathematics, e

Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, n

Finance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. This self-contained 2002 text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus: proofs in the continuous-time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be app

Finance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. This self-contained 2002 text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus: proofs in the continuous-time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be app

The rewards and dangers of speculating in the modern financial markets have come to the fore in recent times with the collapse of banks and bankruptcies of public corporations as a direct result of ill-judged investment. At the same time, individuals are paid huge sums to use their mathematical skills to make well-judged investment decisions. Here now is the first rigorous and accessible account of the mathematics behind the pricing, construction and hedging of derivative securities. Key concepts such as martingales, change of measure, and the Heath-Jarrow-Morton model are described with mathematical precision in a style tailored for market practitioners. Starting from discrete-time hedging on binary trees, continuous-time stock models (including Black-Scholes) are developed. Practicalities are stressed, including examples from stock, currency and interest rate markets, all accompanied by graphical illustrations with realistic data. A full glossary of probabilistic and financial terms

This book presents the theory of nonsymmetric operads from a combinatorial point-of-view. It portrays the main elements of this theory and the links it maintains with several areas of computer science

"Written by noted quantum computing theorist Scott Aaronson, this book takes readers on a tour through some of the deepest ideas of maths, computer science and physics. Full of insights, arguments and

Updated to cover changes in the latest edition of the C# language and including several areas of new and expanded content, the second edition of this introductory computer science textbook provides st