Mathematics of Discrete Structures for Computer Science

This book describes the design, development, delivery and impact of the mathematics assessment for the OECD Programme for International Student Assessment (PISA). First, the origins of PISA’s concept

This book describes the design, development, delivery and impact of the mathematics assessment for the OECD Programme for International Student Assessment (PISA). First, the origins of PISA’s concept

Making Math Accessible for English Language Learners provides practical classroom tips and suggestions to strengthen the quality of classroom instruction for teachers of mathematics. The tips and sugg

Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathemat

Probability Theory, Theory of Random Processes and Mathematical Statistics are important areas of modern mathematics and its applications. They develop rigorous models for a proper treatment for vario

Making Math Accessible for English Language Learners provides practical classroom tips and suggestions to strengthen the quality of classroom instruction for teachers of mathematics. The tips and sugg

An introductory primer for kids learning about the “M” in “STEAM” : Mathematics.Math is the basic foundation upon which most of the other areas of STEAM rely. If a child aspires to be a scientist or an engineer or an architect, they need to first understand math. Little Leonardo’s Fascinating World of Math introduces many mathematical concepts in a context showing their interconnectedness with so many of the things in our everyday lives.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. Your child will be enticed by the fun and surprising details revealed in Paprocki’s cool and colorful artwork on every page.

Lower dimensional structures, such as nanotubes and nanowires, have opened new frontiers in materials research. Recent advances in the synthesis, processing and characterization of these structures indicate that some of their enormous potential is slowly being realized. This book outlines the progress that has been made in the science and applications of elemental (e.g., C and Si) and compound (e.g., ZnO, InP and GaAs) nanotubes, wires and layers. The book emphasizes how far initial expectations have come and the work necessary to realize their future promise. Topics include: carbon nanotube growth mechanisms; solution-based processing and electrochemistry; carbon nanotube synthesis and characterization; nanowires - synthesis and characterization; carbon nanostructure processing; optical and thermal properties; nanowires and nanotubes - electrical, optical and thermal properties; mechanical properties; and mechanical properties and energy applications.

Progress in nanoscale engineering, as well as an improved understanding of the physical phenomena at the nanometer scale, have contributed to the rapid development of novel nanostructured semiconducting materials and nanodevices. Using new approaches, semiconductor structures can be fabricated with sub-nanometer accuracy and precisely controlled electronic and optical properties. The immense technological potential and new exciting physics have stimulated interest in semiconductor nanostructures over several years. This book brings together a single comprehensive overview of recent progress and future directions in nanoscale semiconductor research. Fields ranging from materials science to physics, chemistry, electrical and microelectronic engineering, circuit design, and more, are represented. Topics include: quantum dot theory, growth and optics; single quantum dot spectroscopy; charge and spin; Si/Ge quantum dot structures; bio-quantum dots; electric force microscopy and charge injec

For graduate or advanced undergraduate students in electronics, electronic engineering, physics, or mathematics, Aluf explains explicit procedures for applying general mathematical representations of

Genetic engineering has been studied for a number of years for understanding the formation of cells and cell structures as well as the processes involved in evolution. The scientific advancements in t

Semantic Relations and the Lexicon explores the many paradigmatic semantic relations between words, such as synonymy, antonymy and hyponymy, and their relevance to the mental organization of our vocabularies. Drawing on a century's research in linguistics, psychology, philosophy, anthropology and computer science, M. Lynne Murphy proposes a pragmatic approach to these relations. Whereas traditional approaches have claimed that paradigmatic relations are part of our lexical knowledge, Dr Murphy argues that they constitute metalinguistic knowledge, which can be derived through a single relational principle, and may also be stored as part of our extra-lexical, conceptual representations of a word. Part I shows how this approach can account for the properties of lexical relations in ways that traditional approaches cannot, and Part II examines particular relations in detail. This book will serve as an informative handbook for all linguists and cognitive scientists interested in the mental

In recent years there has been a huge increase in the research and development of nanoscale science and technology. Central to the understanding of the properties of nanoscale structures is the modeling of electronic conduction through these systems. This graduate textbook provides an in-depth description of the transport phenomena relevant to systems of nanoscale dimensions. In this textbook the different theoretical approaches are critically discussed, with emphasis on their basic assumptions and approximations. The book also covers information content in the measurement of currents, the role of initial conditions in establishing a steady state, and the modern use of density-functional theory. Topics are introduced by simple physical arguments, with particular attention to the non-equilibrium statistical nature of electrical conduction, and followed by a detailed formal derivation. This textbook is ideal for graduate students in physics, chemistry, and electrical engineering.

Designed for one-semester courses at the senior undergraduate level, this 2003 book will appeal to mathematics undergraduates, to mathematics teachers, and to others who need to learn some mathematical analysis for use in other areas such as engineering, physics, biology or finance. Topics such as completeness and compactness are approached initially through convergence of sequences in metric space, and the emphasis remains on this approach. However, the alternative topological approach is described in a separate chapter. This gives the book more flexibility, making it especially useful as an introduction to more advanced areas such as functional analysis. Nominal divisions of pure and applied mathematics have been merged, leaving enough for students of either inclination to have a feeling for what further developments might look like. Applications have been included from such fields as differential and integral equations, systems of linear algebraic equations, approximation theory, nu

Designed for one-semester courses at the senior undergraduate level, this 2003 book will appeal to mathematics undergraduates, to mathematics teachers, and to others who need to learn some mathematical analysis for use in other areas such as engineering, physics, biology or finance. Topics such as completeness and compactness are approached initially through convergence of sequences in metric space, and the emphasis remains on this approach. However, the alternative topological approach is described in a separate chapter. This gives the book more flexibility, making it especially useful as an introduction to more advanced areas such as functional analysis. Nominal divisions of pure and applied mathematics have been merged, leaving enough for students of either inclination to have a feeling for what further developments might look like. Applications have been included from such fields as differential and integral equations, systems of linear algebraic equations, approximation theory, nu

This book is dedicated to preparing prospective college students for the study of mathematics. It can be used at the end of high school or during the first year of college, for personal study or for i

This tutorial reference serves as a coherent overview of various statistical and mathematical approaches used in brain network analysis, where modeling the complex structures and functions of the human brain often poses many unique computational and statistical challenges. This book fills a gap as a textbook for graduate students while simultaneously articulating important and technically challenging topics. Whereas most available books are graph theory-centric, this text introduces techniques arising from graph theory and expands to include other different models in its discussion on network science, regression, and algebraic topology. Links are included to the sample data and codes used in generating the book's results and figures, helping to empower methodological understanding in a manner immediately usable to both researchers and students.

Covers essential content terms in the key subject area of mathematics for elementary level students.

A visual exploration of chemistry, The Stardust That Made Us is the third stunning STEM title from Colin Stuart and Ximo Abadía, following the success of The Speed of Starlight (physics) and The Language of the Universe (mathematics).Imagine that Nature has an unseen cookbook full of different recipes for making everything you've ever encountered, from fish to fingernails and sand to Saturn. The 'ingredients' are known as chemical elements and there are 118 that we know about so far, which are organised in a grid called the periodic table. Some occur in nature, some are man-made, some are dangerous, some even glow blue!Stunning surrealist artwork by Ximo Abadía meets easy-to-read informative text by science writer Colin Stuart to create highly engaging content that will inspire future scientists.

This textbook is designed to bridge the gap between the theorist and the methodologist by presenting an integrated approach to measurement. By differentiating between random and systematic error, it conveys both statistical techniques and their theoretical underpinnings essential to students of sociology and political science. Rather than developing new technical methods of new theoretical structures, Professors Zeller and Carmines provide thorough explanations of the assumptions, limitations and interpretations of previously established techniques and theories. Written at a level accessible to students of social science with some statistical training, the book does not presume a sophisticated mathematical background. By concentrating on synthesizing the methodological and theoretical realms, Zeller and Carmines demonstrate why measurement considerations are important to research and how measurement principles can be most effectively applied.

Eukaryotic cells are remarkably complex structures, containing a vast repertoire of macromolecules, organelles, and other compartments that orchestrate the tasks required for life. For in-depth studie

This comprehensive book provides an overview of the key techniques used in the fabrication of micron-scale structures in silicon. Recent advances in these techniques have made it possible to create a new generation of microsystem devices, such as microsensors, accelerometers, micropumps, and miniature robots. The authors underpin the discussion of each technique with a brief review of the fundamental physical and chemical principles involved. They pay particular attention to methods such as isotropic and anisotropic wet chemical etching, wafer bonding, reactive ion etching, and surface micromachining. There is a special section on bulk micromachining, and the authors also discuss release mechanisms for movable microstructures. The book is a blend of detailed experimental and theoretical material, and will be of great interest to graduate students and researchers in electrical engineering and materials science whose work involves the study of micro-electromechanical systems (MEMS).

Poetry. In his debut collection, THE EXISTENTIALIST COOKBOOK, Shawnte Orion sifts through the absurdity of modern living for scraps of philosophy, religion, and mathematics to blend into recipes for e

A textbook for an introductory first-year doctoral course in mathematics for economics students who know intermediate microeconomic theory and can compute the partial derivatives of a function of seve

Providing clear examples of the use of state-of-the-art computer programs for analyses of bioassay data, Bioassays with Arthropods, Second Edition explains the statistical basis and analysis for each

In 1770, one of the founders of pure mathematics, Leonard Euler (1707–1783), published an algebra textbook for students. It was soon translated into French, with notes and additions by Joseph-Louis Lagrange, another giant of eighteenth-century mathematics, and the French edition was used as the basis of the English edition of 1822 (which also appears in this series), and of this 1790s German edition by Johann Philipp Grüson, Professor of Mathematics to the royal cadets. This set brings together volume 1 which begins with elementary mathematics of determinate quantities and includes four sections on simple calculations and progresses to compound calculations, ratios and proportions, and volume 2 which consists of two parts: 16 chapters on algebraic equations, followed by 15 chapters on analyses of indeterminate quantities.

What was the basis for the adoption of mathematics as the primary mode of discourse for describing natural events by a large segment of the philosophical community in the seventeenth century? In answe

Free logic is an important field of philosophical logic that first appeared in the 1950s. J. Karel Lambert was one of its founders and coined the term itself. The essays in this collection (written over a period of 40 years) explore the philosophical foundations of free logic and its application to areas as diverse as the philosophy of religion and computer science. Amongst the applications on offer are those to the analysis of existence statements, to definite descriptions and to partial functions. The volume contains a proof that free logics of any kind are non-extensional and then uses that proof to show that Quine's theory of predication and referential transparency must fail. The purpose of this collection is to bring an important body of work to the attention of a new generation of professional philosophers, computer scientists and mathematicians.

Free logic is an important field of philosophical logic that first appeared in the 1950s. J. Karel Lambert was one of its founders and coined the term itself. The essays in this collection (written over a period of 40 years) explore the philosophical foundations of free logic and its application to areas as diverse as the philosophy of religion and computer science. Amongst the applications on offer are those to the analysis of existence statements, to definite descriptions and to partial functions. The volume contains a proof that free logics of any kind are non-extensional and then uses that proof to show that Quine's theory of predication and referential transparency must fail. The purpose of this collection is to bring an important body of work to the attention of a new generation of professional philosophers, computer scientists and mathematicians.

The first study of its kind, Regional Variation in Written American English takes a corpus-based approach to map over one hundred grammatical alternation variables across the United States. A multivariate spatial analysis of these maps shows that grammatical alternation variables follow a relatively small number of common regional patterns in American English, which can be explained based on both linguistic and extra-linguistic factors. Based on this rigorous analysis of extensive data, Grieve identifies five primary modern American dialect regions, demonstrating that regional variation is far more pervasive and complex in natural language than is generally assumed. The wealth of maps and data, and the groundbreaking implications of this volume, make it essential reading for students and researchers in linguistics, English language, geography, computer science, sociology and communication studies.

Covers properties of subsurface materials, types of foundations and methods of construction, selection of foundation type and basis for design, and design of foundations and earth-retaining structures

Analyses of the international climate change regime consider the challenges of maintaining current structures and the possibilities for creating new forms of international cooperation.The current inte

Increasingly, architects are hired to design new work for existing structures. Whether for reasons of preservation, sustainability, or cost-effectiveness, the movement to reuse buildings presents a va

Uncover the language of our universe - numbers - in this wide-ranging whistle-stop tour of the history and majesty of mathematics. Our world simply wouldn't function if we didn't have numbers. But where do they come from? Why do we cut cake the wrong way? How can there be different sizes of infinity?All these questions and more are answered in this engaging romp through the history of numbers by acclaimed science writer, Colin Stuart.From the mathematicians who have (and haven't) shouted 'Eureka!' to the theories that affect and inform our everyday lives; Numbers shows us that maths was never boring - we were just being taught it in the wrong way. Consisting of ten bite-sized essays, there's no better guide to this fundamental science.

Complexity theory is a central field of the theoretical foundations of computer science. It is concerned with the general study of the intrinsic complexity of computational tasks; that is, it addresses the question of what can be achieved within limited time (and/or with other limited natural computational resources). This book offers a conceptual perspective on complexity theory. It is intended to serve as an introduction for advanced undergraduate and graduate students, either as a textbook or for self-study. The book will also be useful to experts, since it provides expositions of the various sub-areas of complexity theory such as hardness amplification, pseudorandomness and probabilistic proof systems. In each case, the author starts by posing the intuitive questions that are addressed by the sub-area and then discusses the choices made in the actual formulation of these questions, the approaches that lead to the answers, and the ideas that are embedded in these answers.

Computer simulation is an indispensable research tool in modeling, understanding and predicting nanoscale phenomena. However, the advanced computer codes used by researchers are too complicated for graduate students wanting to understand computer simulations of physical systems. This book gives students the tools to develop their own codes. Describing advanced algorithms, the book is ideal for students in computational physics, quantum mechanics, atomic and molecular physics, and condensed matter theory. It contains a wide variety of practical examples of varying complexity to help readers at all levels of experience. An algorithm library in Fortran 90, available online at www.cambridge.org/9781107001701, implements the advanced computational approaches described in the text to solve physical problems.

"Super Scientist, Max Axiom, presents step-by-step photo-illustrated instructions for building a variety of structures and contraptions"--

"Provides children with instructions and tips on how to build structures for a variety of activities"--Provided by publisher.

Written for those without an advanced background in mathematics or statistics, this undergraduate-level text includes a number of references to applications and a new list of further reading for self-

For graduate students looking for an introduction to this area of nonlinear analysis, Liu (mathematics, Stanford U.) offers a self-contained study of shock waves explaining the new wave interactions f