Mathematics of Discrete Structures for Computer Science

Provides a detailed account of the structures and physical chemistry properties of nucleic acids, with an emphasis on the implications for biological function. The volume is organized to be of use to

This book is about the methods used for unifying different scientific theories under one all-embracing theory. The process has characterized much of the history of science and is prominent in contemporary physics; the search for a 'theory of everything' involves the same attempt at unification. Margaret Morrison argues that, contrary to popular philosophical views, unification and explanation often have little to do with each other. The mechanisms that facilitate unification are not those that enable us to explain how or why phenomena behave as they do. A feature of this book is an account of many case studies of theory unification in nineteenth- and twentieth-century physics and of how evolution by natural selection and Mendelian genetics were unified into what we now term evolutionary genetics.

This is a comprehensive discussion of complexity as it arises in physical, chemical, and biological systems, as well as in mathematical models of nature. Common features of these apparently unrelated fields are emphasised and incorporated into a uniform mathematical description, with the support of a large number of detailed examples and illustrations. The quantitative study of complexity is a rapidly developing subject with special impact in the fields of physics, mathematics, information science, and biology. Because of the variety of the approaches, no comprehensive discussion has previously been attempted. This book will be of interest to graduate students and researchers in physics (nonlinear dynamics, fluid dynamics, solid-state, cellular automata, stochastic processes, statistical mechanics and thermodynamics), mathematics (dynamical systems, ergodic and probability theory), information and computer science (coding, information theory and algorithmic complexity), electrical engi

This survey of the important types of inorganic and organic crystal structures treats its subject thoroughly and in sufficient depth for undergraduate modules in chemistry courses. Features of this bo

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.

With the developing progress of materials fabrication, it is possible to produce materials with exciting electronic and magnetic properties which may be candidates for future device applications. One key class of these materials is the metallic magnetic oxide systems. This book focuses on colossal magnetoresistance (CMR) materials, including manganites and cobalites. Transport and magnetic properties and their dependence on stress, growth conditions, stoichiometry and elemental composition are explored quite extensively. However, the large magnetic fields required to obtain the CMR effect have been perceived as a technological roadblock for commercialization of this phenomenon. This has motivated research aimed both at reducing the intrinsic field dependence as well as at developing novel device structures that will reduce the required effective field. Technologically useful devices will undoubtedly involve heterostructures. Since the magnetic and transport properties are extremely str

The combinatorial theory of species, introduced by Joyal in 1980, provides a unified understanding of the use of generating functions for both labelled and unlabelled structures and as a tool for the specification and analysis of these structures. Of particular importance is their capacity to transform recursive definitions of tree-like structures into functional or differential equations, and vice versa. The goal of this book is to present the basic elements of the theory and to give a unified account of its developments and applications. It offers a modern introduction to the use of various generating functions, with applications to graphical enumeration, Polya theory and analysis of data structures in computer science, and to other areas such as special functions, functional equations, asymptotic analysis and differential equations. This book will be a valuable reference to graduate students and researchers in combinatorics, analysis, and theoretical computer science.

This volume presents up-to-date research on finite geometries and designs, a key area in modern applicable mathematics. An introductory chapter discusses topics presented in each of the main chapters, and is followed by articles from leading international figures in this field. These include a discussion of the current state of finite geometry from a group-theoretical viewpoint, and surveys of difference sets and of small embeddings of partial cycle systems into Steiner triple systems. Also presented are successful searches for spreads and packing of designs, rank three geometries with simplicial residues and generalized quadrangles satisfying Veblen's Axiom. In addition, there are articles on new 7-designs, biplanes, various aspects of triple systems, and many other topics. This book will be a useful reference for researchers working in finite geometries, design theory or combinatorics in general.

This accessible introdution to statistics using the program Minitab explains when to apply and how to calculate and interpret a wide range of statistical procedures commonly used in the social science

Ceramics are in many ways the most challenging of engineering materials. This book introduces readers to the hierarchy of structures in ceramic materials, especially to the relationship between struct

This book is written for beginning graduate students in applied mathematics, science, and engineering, and is appropriate as a one-year course in applied mathematical techniques (although I have neve

This is a concise introductory textbook for a one semester course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students a

Computers are developing into a powerful medium integrating film, pictures, text and sound, and the use of computers for communication and information is rapidly expanding. The Computer as Medium brings insights from art, literature and theatre to bear on computers and discusses the communicative and organizational nature of computer networks within a historical perspective. The book consists of three parts. The first part characterizes the semiotic nature of computers and discusses semiotic approaches to programming and interface design. The second part discusses narrative and aesthetic issues of interactive fiction, information systems and hypertext. The final part contains papers on the cultural, organizational and historical impact of computers.The broad and rich coverage of this book will appeal to scholars in cognitive science, computer science, linguistics, semiotics, media studies and mass communications, cultural studies and education.

Category theory and related topics of mathematics have been increasingly applied to computer science in recent years. This book contains selected papers from the London Mathematical Society Symposium on the subject which was held at the University of Durham. Participants at the conference were leading computer scientists and mathematicians working in the area and this volume reflects the excitement and importance of the meeting. All the papers have been refereed and represent some of the most important and current ideas. Hence this book will be essential to mathematicians and computer scientists working in the applications of category theory.

In order to compete in the modern world, any society today must rank education in science, mathematics, and technology as one of its highest priorities. It's a sad but true fact, however, that most A

The interaction between computer and mathematics is becoming more and more important at all levels as computers become more sophisticated. This book shows how simple programs can be used to do significant mathematics. The purpose of this book is to give those with some mathematical background a wealth of material with which to appreciate both the power of the microcomputer and its relevance to the study of mathematics. The authors cover topics such as number theory, approximate solutions, differential equations and iterative processes, with each chapter self-contained. Many exercises and projects are included giving ready made material for demonstrating mathematical ideas. Only a fundamental knowledge of mathematics is assumed and programming is restricted to 'basic BASIC' which will be understood by any microcomputer. The book may be used as a textbook for algorithmic mathematics at several levels, with all the topics covered appearing in any undergraduate mathematics course.

This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CW-complexes, CW-complexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CW-complexes. They establish very clearly the relationship between CW-complexes and the theory of simplicial complexes, which is developed in great detail. Exercises are provided throughout the book; some are straightforward, others extend the text in a non-trivial way. For the latter; further reference is given for their solution. Each chapter ends with a section sketching the historical development. An appendix gives basic results from topology, homology and homotopy theory. These features will aid graduate students, who can use the work as a cou

The mathematical theory underlying many sporting activities is of considerable interest to both applied mathematicians and sporting enthusiasts alike. Here Professor de Mestre presents a rigorous account of the techniques applied to the motion of projectiles. This equips the reader for the final section of the book in which an enlightening collection of sporting applications is considered, ranging from soccer to table-tennis and high-jump to frisbees. The presentation should be accessible to most undergraduate science students and provides an ideal setting for the development of mathematical modelling techniques.

This book provides a solid foundation to a number of important topics in mathematics of interest to science and engineering students. The authors' approach is simple and direct, the emphasis being on the analytical structure and applications of the material. The text is virtually self-contained, assuming only that the student has received a good basic course in ancillary mathematics. Each chapter contains a large number of worked examples, and concludes with problems for solution, with answers given in the back of the book. There is no comparable text that covers this material in such a concise form. This book will be of great value to undergraduates in physics, chemistry, theoretical biology, and in all engineering disciplines, as a source book of advanced mathematical methods, and also to postgraduate students as a revision text.

This book provides a solid foundation to a number of important topics in mathematics of interest to science and engineering students. The authors' approach is simple and direct, the emphasis being on the analytical structure and applications of the material. The text is virtually self-contained, assuming only that the student has received a good basic course in ancillary mathematics. Each chapter contains a large number of worked examples, and concludes with problems for solution, with answers given in the back of the book. There is no comparable text that covers this material in such a concise form. This book will be of great value to undergraduates in physics, chemistry, theoretical biology, and in all engineering disciplines, as a source book of advanced mathematical methods, and also to postgraduate students as a revision text.

Based on the International Commission on Mathematical Instruction conference held in early 1987, this volume consists of a number of key papers presented by international authorities on the role of mathematics in applied subjects, such as engineering, computer science, and mathematical modelling. The importance of certain mathematical ideas, such as geometry and discrete mathematics is stressed, as well as the more classical methods. The book includes a long article by the editor synthesising some of the main themes and trends debated at the conference.

What is the mind? How does it work? How does it influence behavior? Some psychologists hope to answer such questions in terms of concepts drawn from computer science and artificial intelligence. They test their theories by modeling mental processes in computers. This book shows how computer models are used to study many psychological phenomena - including vision, language, reasoning, and learning. It also shows that computer modeling involves differing theoretical approaches. Computational psychologists disagree about some basic questions. For instance, should the mind be modeled by digital computers, or by parallel-processing systems more like brains? Do computer programs consist of meaningless patterns, or do they embody (and explain) genuine meaning?

First published in 1986, the first ICMI study is concerned with the influence of computers and computer science on mathematics and its teaching in the last years of school and at tertiary level. In particular, it explores the way the computer has influenced mathematics itself and the way in which mathematicians work, likely influences on the curriculum of high-school and undergraduate students, and the way in which the computer can be used to improve mathematics teaching and learning. The book comprises a report of the meeting held in Strasbourg in March 1985, plus several papers contributed to that meeting.

More than any other book in this field, this book ties together discrete topics with a theme. Written at an appropriate level of understanding for those new to the world of abstract mathematics, it li

Strap in for a thrilling journey through the exciting world of MATHEMATICS! This fast-paced, fun-filled book seamlessly blends COMIC BOOK ACTION with mind-bending MATH FACTS.Embark on a quest with Professor Katzenstein, the world's most intrepid, all-action mathematician, as he unravels the secrets of numbers, patterns, and equations in this vibrant, full-color book. The Prof has a passion for discovery and loves all things strange, unexpected, and surprising - so this exploration of mathematics will be anything but ordinary! - Do you know why your body is like a donut?- Have you ever wondered how many times you can fold a piece of paper?- Have you uncovered the secret mathematics of a sunflower? Get to the bottom of these big ideas and more in this laugh-out-loud series that's a cross between Peanuts and Euclid. This infectiously enthusiastic celebration of mathematics is ideal for inspiring young minds aged 7+. ABOUT THE SERIES: The Professor Kat's Science Facts series follows Profes

From one of our leading chroniclers of the intersection of innovation and capitalism, a landmark reckoning— based on unprecedented access— with one of the world’s most brilliant and driven tech visionaries and his game-changing company.Even by the standard of a tech industry stacked with so-called visionary leaders possessed of the godspark of genius, Demis Hassabis is universally recognized as a special case. Born poor in North London to immigrant parents, a dominant chess prodigy by age five and wizard coder in his teens, he turned down a seven figure offer before he turned 18 to feed his insatiable scientific curiosity at Cambridge. Later, he added a neuroscience PhD to his computer science skills to pursue the dream of artificial general intelligence, his ultimate goal to solve the world’s hardest problems and usher in an era of super-abundance. And along with a small group of fellow travelers around the world, that is the path he is very much still on, winning a Nobel Prize along

Discover how maths is part of our daily lives with Everyday STEM Maths - Amazing Maths. Mathematics is not just working out sums and equations for school - it's all around us and used in everyday situations. From photography and cooking to ballet and fashion design, maths is the building block of everything! Discover how watching rabbits and bees developed into a famous sequence, see the ancient Egyptians apply maths to pyramid building, and meet the inspirational mathematicians who brought numbers and symbols to life, including Marjorie Lee Browne, Archimedes and Maryam Mirzakhani. A "try this at home" section shows readers how maths helps you to read minds and how a sequence can turn you into an artist. With easy-to-understand text written by maths expert Lou Abercrombie, and lots of colourful artworks, photos and diagrams, readers can best explore where we encounter maths and why it's even important at all. The Everyday STEM series makes science relevant to tweens. Instead of tellin

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for first graders everywhere.Loved by kids and teacher approved, and featuring hundreds of questions based on reading, math, language arts, science, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 1st Grade Smart Cards helps kids aged 6 – 7 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that first graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box750 questions and answers covering reading, math, language arts, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content with new and revised questions t

From hundreds of curriculum-based activities, exercises, and games in every subject to a new technology section, progress map, and stickers, discover the ultimate fourth grade workbook from America's #1 educational bestseller. Loved by kids, teacher approved, and trusted by parents, Brain Quest Grade 4 Workbook reviews and reinforces what children are learning in the classroom in an instantly engaging, entertaining way. Each page is jam packed with fun activities, practice exercises, and games covering vocabulary, language arts, math word problems, multiplication and division, fractions and decimals, geometry and measurement social studies, science, and much more. What's New?Technology section Introduces children to computer science, coding, and logic Updated content Activities and illustrations are revised to reflect the diversity of children, their families, and experiences Support for parents and children Section openers preview upcoming content and provide directions and suggestion

From hundreds of curriculum-based activities, exercises, and games in every subject to a new technology section, progress map, and stickers, discover the ultimate fifth grade workbook from America's #1 educational bestseller. Loved by kids, teacher approved, and trusted by parents, Brain Quest Grade 5 Workbook reviews and reinforces what children are learning in the classroom in an instantly engaging, entertaining way. Each page is jam packed with fun activities, practice exercises, and games covering vocabulary, language arts, math word problems, multiplication and division, fractions and decimals, geometry and measurement, social studies, science, and much more. What's New?Technology section Introduces children to computer science, coding, and logic Updated content Activities and illustrations are revised to reflect the diversity of children, their families, and experiences Support for parents and children Section openers preview upcoming content and provide directions and suggestion

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for second graders everywhere. Loved by kids and teacher approved, and featuring hundreds of questions based on math, language arts, science, social studies, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 2nd Grade Smart Cards helps kids aged 7 – 8 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that second graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,000 questions and answers covering math, language arts, science, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content with new and re

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for third graders everywhere.​Brain Quest 3rd Grade Smart Cards helps kids aged 8 – 9 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that third graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,000 questions and answers covering math, language arts, science, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content new and revised questions that include recent key cultural and historic eventsRevised historical content with a focus on balance, diversity, and conscious languageBrain Quest decks are:Aligned with common core state st

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for fourth graders everywhere.Loved by kids and teacher approved, and featuring hundreds of questions based on math, science, English, US History, Geography, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 4th Grade Smart Cards helps kids aged 9 – 10 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that fourth graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,500 questions and answers covering math, science, English, US History, Geography, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content wi

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for fifth graders everywhere.Loved by kids and teacher approved, and featuring hundreds of questions based on math, science, English, History, Geography, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 5th Grade Smart Cards helps kids aged 10 – 11 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that fifth graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,500 questions and answers covering math, science, English, History, Geography, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content with new

Social media has put mass communication in the hands of normal people on an unprecedented scale, and has also given social scientists the tools necessary to listen to the voices of everyday people around the world. This book gives social scientists the skills necessary to leverage that opportunity, and transform social media's vast stream of information into social science data. The book combines the big data techniques of computer science with social science methodology. Intended as a text for advanced undergraduates, graduate students, and researchers in the social sciences, this book provides a methodological pathway for scholars who want to make use of this new and evolving source of data. It provides a framework for building one's own data collection and analysis infrastructure, a toolkit of content analysis, geographic analysis, and network analysis, and meditations on the ethical implications of social media data.

Social media has put mass communication in the hands of normal people on an unprecedented scale, and has also given social scientists the tools necessary to listen to the voices of everyday people around the world. This book gives social scientists the skills necessary to leverage that opportunity, and transform social media's vast stream of information into social science data. The book combines the big data techniques of computer science with social science methodology. Intended as a text for advanced undergraduates, graduate students, and researchers in the social sciences, this book provides a methodological pathway for scholars who want to make use of this new and evolving source of data. It provides a framework for building one's own data collection and analysis infrastructure, a toolkit of content analysis, geographic analysis, and network analysis, and meditations on the ethical implications of social media data.

Best practices for addressing the bias and inequality that may result from the automated collection, analysis, and distribution of large datasets.Human-centered data science is a new interdisciplinary field that draws from human-computer interaction, social science, statistics, and computational techniques. This book, written by founders of the field, introduces best practices for addressing the bias and inequality that may result from the automated collection, analysis, and distribution of very large datasets. It offers a brief and accessible overview of many common statistical and algorithmic data science techniques, explains human-centered approaches to data science problems, and presents practical guidelines and real-world case studies to help readers apply these methods. The authors explain how data scientists’ choices are involved at every stage of the data science workflow―and show how a human-centered approach can enhance each one, by making the process more transparent, aski

Understand critical principles of composites, such as design of durable structures, choice of fibre, matrix, manufacturing process, and mechanics with this interdisciplinary text. The book features up-to-date coverage of hybrids of fibres and particles and explanation of failure criteria, and includes a comprehensive discussion on choice of fibres, matrices, manufacturing technology, and micromechanics for durable composite structures. It provides the structure and properties of reinforcing fibres, particulates, and matrices together with a discussion of fracture mechanics. This is an essential guide for scientists and engineers wishing to discover the benefits of composite materials for designing strong and durable structures.