Mathematics of Discrete Structures for Computer Science

Banach spaces and algebras are a key topic of pure mathematics. Graham Allan's careful and detailed introductory account will prove essential reading for anyone wishing to specialise in functional an

Increased attention is being paid to the need for statistically educated citizens: statistics is now included in the K-12 mathematics curriculum, increasing numbers of students are taking courses in

An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a sp

Organizing and Collecting: The Number Systemis one of eight units in the Contexts for Learning Mathematics' Investigating Number Sense, Addition, and Subtraction (K-3) This unit begins with the sto

Khalkhali (U. of Western Ontario, Canada) and Marcolli (Max Planck Institute for Mathematics, Germany) offer a volume that contains eight lectures that were given at the International Workshop on Nonc

Those with the original 1967 edition of this classic on their bookshelves keep their office doors locked. Treves (mathematics, Rutgers U.) wrote this for upper-level undergraduates and early graduate

Complete, detailed instructions and numerous diagrams for constructing a do-it-yourself telescope. No complicated mathematics are involved, and no prior knowledge of optics or astronomy is needed to f

Describes the authors' innovative approach to literature-based mathematics instruction that focuses on books with strong female role models. Offers ideas for using this kind of literature to lead elem

This book provides an introduction to quantum theory, primarily for mathematics students. It assumes a knowledge of basic algebra and elementary group theory, with little or no familiarity with more

Provides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasiz

This book takes the reader for a short journey over the structures of matter showing that their main properties can be obtained even at a quantitative level with a minimum background knowledge includi

The general and specific structures of the back?including the cervical, thoracic, and lumbo-sacral spine?are presented and illustrated in this book to be used as a basis for clinical practice. Diagnos

This book is based on the results of research in language typology, and motivated by the need for a theory to explain them. Croft proposes intimate links between syntactic and semantic structures, and

You believe that there is a book (or a computer screen) in front of you because it seems visually that way. I believe that I ate cereal for breakfast because I seem to remember eating it for breakfast

This book is an accessible collection of case study scenarios ideal for physiology and pharmacology revision for pharmacy, medical, biomedical science, clinical science and healthcare students.&#

This book is an accessible collection of case study scenarios ideal for physiology and pharmacology revision for pharmacy, medical, biomedical science, clinical science and healthcare students.&#

The subject matter in this volume is Schwarz's lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years to date. This volume of lecture notes fo

For end-users of bioinformatics databases and tools, this book explains how to independently manage large biological data sets with Python. It covers basic aspects of computer usage as well as the sim

A cranky, atheistic philosophy professor loves to shred the faith of incoming freshmen. He is chosen by a group of scientists to create a philosophy for a computer-generated world exactly like ours.

What is this book good for? Imagine you are a computer scientist working in the bioinformatics area. P- bably you will be a member of a highly interdisciplinary team consisting of biologists, chemists

Due to the growth of Internet-driven applications, issues such as storage capacity and access speed have become critical in the design of today's computer systemsBook fills the need for a readily-acce

The ubiquity of computer-generated imagery around us, in movies, advertising or on the Internet is already being taken for granted and what impresses most people is the photorealistic quality of the i

In 1945 a small group of brilliant engineers and mathematicians gathered at the Institute for Advanced Study in Princeton, determined to build a computer that would make Alan Turing's theory of a 'uni

Schemas in Problem Solving explores a theory of schema development and studies the applicability of the theory as a unified basis for understanding learning, instruction and assessment. The theory's prescriptions for teaching are direct, and its application to assessment suggests new directions for tests. After examining the roots of the theory in earlier work by philosophers and psychologists, Marshall illustrates the main features of her theory with experimental evidence from students who are learning to recognize and solve arithmetic story problems. She describes individual performance with traditional empirical studies as well as computer simulation. The computer simulation reflects an approach in modelling cognition. Marshall's model links neural networks with symbolic systems to form a hybrid model that uses pattern matching of sets of features as well as logical step-by-step rules.

Schemas in Problem Solving explores a theory of schema development and studies the applicability of the theory as a unified basis for understanding learning, instruction and assessment. The theory's prescriptions for teaching are direct, and its application to assessment suggests new directions for tests. After examining the roots of the theory in earlier work by philosophers and psychologists, Marshall illustrates the main features of her theory with experimental evidence from students who are learning to recognize and solve arithmetic story problems. She describes individual performance with traditional empirical studies as well as computer simulation. The computer simulation reflects an approach in modelling cognition. Marshall's model links neural networks with symbolic systems to form a hybrid model that uses pattern matching of sets of features as well as logical step-by-step rules.

This book provides an accessible and up-to-date introduction to how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. Beginning with a summary of key ideas from perturbative quantum field theory and an introduction to the Hopf algebra structure of renormalization, early chapters discuss the rationality of ladder diagrams and simple link diagrams. The necessary basics of knot theory are then presented and the number-theoretic relationship between the topology of Feynman diagrams and knot theory is explored. Later chapters discuss four-term relations motivated by the discovery of Vassiliev invariants in knot theory and draw a link to algebraic structures recently observed in noncommutative geometry. Detailed references are included. Dealing with material at perhaps the most productive interface between mathematics and physics, the book will be of interest to theoretical and particle physicists, and mathematicians.

Spline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis. The theory of univariate splines is well known but this text is the first comprehensive treatment of the analogous bivariate theory. A detailed mathematical treatment of polynomial splines on triangulations is outlined, providing a basis for developing practical methods for using splines in numerous application areas. The detailed treatment of the Bernstein-Bézier representation of polynomials will provide a valuable source for researchers and students in CAGD. Chapters on smooth macro-element spaces will allow engineers and scientists using the FEM method to solve partial differential equations numerically with new tools. Workers in the geosciences will find new tools for approximation and data fitting on the sphere. Ideal as a graduate text in approximation theory, and as a source book for courses in computer-aided geo

This pioneering volume lays out a set of methodological principles to guide the description of interpersonal grammar in different languages. It compares interpersonal systems and structures across a range of world languages, showing how discourse, interpersonal relationships between the speakers, and the purpose of their communication, all play a role in shaping the grammatical structures used in interaction. Following an introduction setting out these principles, each chapter focuses on a particular language - Khorchin Mongolian, Mandarin, Tagalog, Pitjantjatjara, Spanish, Brazilian Portuguese, British Sign Language and Scottish Gaelic – and explores mood, polarity, tagging, vocation, assessment and comment systems. The book provides a model for functional grammatical description that can be used to inform work on system and structure across languages as a foundation for functional language typology.

This research-led textbook investigates the use of new technologies for language learning, linking theory to practice. The book synthesises previous technology use (including Computer Assisted La

This textbook provides an introduction to the fundamentals of serious games, which differ considerably from computer games that are meant for pure entertainment. Undergraduate and graduate students fr

Describes some of the activities that occur in the school library, including asking a librarian for help, using the computer, reading, being quiet, and taking out a book.

"In Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers, readers are able to grasp the concepts of probability and stochastic processes, and apply these

Making the case for the significance of experimental motion pictures Undulating water patterns; designs etched or painted directly onto clear or black film leader; computer-generated, pulsating, m

Provides computer simulation and modeling techniques in various fields of chemical sensing. This book includes important applications for chemical sensing such topics as bulk and surface diffusion, ad

Computer scientists at the Bank of Mexico hope to promote computational simulation techniques as fundamental tools for modeling financial and economic problems by motivating young researchers to devel

International Playgirl Zaydee finds herself in the midst of a crisis fueled by international intrigue, multinational corporate greed, and a convoluted legal system. Imprisoned for computer hacking, t

Provides instructions and advice for new users of the iPad computer, including getting it ready to use, Internet searches, e-mail, applications, audio, video, photographs, electronic books, settings,

Lio (U. of Cambridge) and Verma (IBM) gather 13 papers exploring new architectures, resource optimization techniques, and routing protocols for computer networks that are based on biological mechanism

Provides instructions and advice for new users of the iPad computer, including getting it ready to use, Internet searches, e-mail, applications, audio, video, photographs, electronic books, settings,

Written for Higher Education teaching and learning professionals, Learning with Digital Games provides an accessible, straightforward introduction to the field of computer game-based learning. Up to d