Mathematics of Discrete Structures for Computer Science

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

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

In this authoritative biography, James Hofmann examines the extraordinary life of André-Marie Ampère, who made original, significant contributions to mathematics and chemistry and is renowned for his new branch of physics - electrodynamics. A member of the Académie des Sciences, and professor at the École Polytechnique, his accomplishments are remarkable in view of his tragic personal life. One of the elite of early nineteenth-century Parisian science, yet having no formal education, he embraced the scientific optimism of the Enlightenment, and the Catholic faith. This combination of intellectual expectation and emotional spirituality made Ampère's genius both destructive and extraordinarily creative. This, the only biography available in the English language, illuminates the scientific contributions of an individual and his epoch, and provides a fascinating insight into the workings of the scientific mind.

Driven by the question, 'What is the computational content of a (formal) proof?', this book studies fundamental interactions between proof theory and computability. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer science. Part I covers basic proof theory, computability and Gödel's theorems. Part II studies and classifies provable recursion in classical systems, from fragments of Peano arithmetic up to Π11–CA0. Ordinal analysis and the (Schwichtenberg–Wainer) subrecursive hierarchies play a central role and are used in proving the 'modified finite Ramsey' and 'extended Kruskal' independence results for PA and Π11–CA0. Part III develops the theoretical underpinnings of the first author's proof assistant MINLOG. Three chapters cover higher-type computability via information systems, a constructive theory TCF of computable functionals, realizability, Dialectica interpretation, computationally significant quantifiers and conn

In recent years game theory has had a substantial impact on computer science, especially on Internet- and e-commerce-related issues. Algorithmic Game Theory, first published in 2007, develops the central ideas and results of this exciting area in a clear and succinct manner. More than 40 of the top researchers in this field have written chapters that go from the foundations to the state of the art. Basic chapters on algorithmic methods for equilibria, mechanism design and combinatorial auctions are followed by chapters on important game theory applications such as incentives and pricing, cost sharing, information markets and cryptography and security. This definitive work will set the tone of research for the next few years and beyond. Students, researchers, and practitioners alike need to learn more about these fascinating theoretical developments and their widespread practical application.

This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using an approach pioneered and developed by the author. The symmetry groups and their representations are worked out explicitly, eliminating the undue abstract nature of group theoretical methods. The author has systemized the wealth of knowledge on symmetry groups that has accumulated in the century since Fedrov discovered the 230 space groups. All space groups, unitary as well as antiunitary, are reconstructed based on the algebraic defining relations of the point groups. This work will be of great interest to graduate students and professionals in solid state physics, chemistry, mathematics, geology and those who are interested in magnetic crystal structures.

This is an ideal book for graduate students and researchers interested in the aerodynamics, structural dynamics and flight dynamics of small birds, bats and insects, as well as of micro air vehicles (MAVs), which present some of the richest problems intersecting science and engineering. The agility and spectacular flight performance of natural flyers, thanks to their flexible, deformable wing structures, as well as to outstanding wing, tail and body coordination, is particularly significant. To design and build MAVs with performance comparable to natural flyers, it is essential that natural flyers' combined flexible structural dynamics and aerodynamics are adequately understood. The primary focus of this book is to address the recent developments in flapping wing aerodynamics. This book extends the work presented in Aerodynamics of Low Reynolds Number Flyers (Shyy et al. 2008).

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

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

George Berkeley is one of the greatest and most influential modern philosophers. In defending the immaterialism for which he is most famous, he redirected modern thinking about the nature of objectivity and the mind's capacity to come to terms with it. Along the way, he made striking and influential proposals concerning the psychology of the senses, the workings of language, the aims of science, and the scope of mathematics. In this Companion volume a team of distinguished authors not only examines Berkeley's achievements but also his neglected contributions to moral and political philosophy, his writings on economics and development, and his defense of religious commitment and religious life. The volume places Berkeley's achievements in the context of the many social and intellectual traditions - philosophical, scientific, ethical, and religious - to which he fashioned a distinctive response.

George Berkeley is one of the greatest and most influential modern philosophers. In defending the immaterialism for which he is most famous, he redirected modern thinking about the nature of objectivity and the mind's capacity to come to terms with it. Along the way, he made striking and influential proposals concerning the psychology of the senses, the workings of language, the aims of science, and the scope of mathematics. In this Companion volume a team of distinguished authors not only examines Berkeley's achievements but also his neglected contributions to moral and political philosophy, his writings on economics and development, and his defense of religious commitment and religious life. The volume places Berkeley's achievements in the context of the many social and intellectual traditions - philosophical, scientific, ethical, and religious - to which he fashioned a distinctive response.

A classic of weaving literature, updated to include computer-aided techniques for home production.

Provides step-by-step instructions, tips, and techniques for building castles, other structures, and sculptured objects out of beach sand.

Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. It stresses a view of proof complexity as a whole entity rather than a collection of various topics held together loosely by a few notions, and it favors more generalizable statements. Lower bounds for lengths of proofs, often regarded as the key issue in proof complexity, are of course covered in detail. However, upper bounds are not neglected: this book also explores the relations between bounded arithmetic theories and proof systems and how they can be used to prove upper bounds on lengths of proofs and simulations among proof systems. It goes on to discuss topics that transcend specific proof systems, allowing for deeper understanding of the fundamental problems of the subject.

This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to sel

For most of the twentieth century, anthropologists understood themselves as ethnographers. The art of anthropology was the fieldwork-based description of faraway others—of how social structures

An account of the theoretical principles underlying the design of the dielectric antenna, one of the earliest structures investigated for the guidance of electromagnetic waves. Including the introduct

Digital television is a multibillion-dollar industry with commercial systems now being deployed worldwide. In this concise yet detailed guide, you will learn about the standards that apply to fixed-line and mobile digital television, as well as the underlying principles involved. The digital television standards are presented to aid understanding of new systems in the market and reveal the variations between different systems used throughout the world. Discussions of source and channel coding then provide the essential knowledge needed for designing reliable new systems. Throughout the book the theory is supported by over 200 figures and tables, whilst an extensive glossary defines practical terminology. This is an ideal reference for practitioners in the field of digital television. It will also appeal to graduate students and researchers in electrical engineering and computer science, and can be used as a textbook for graduate courses on digital television systems.

Updated and expanded, this second edition of the acclaimed Multiwavelength Optical Networks provides a detailed description of the structure and operation of modern optical networks. It also sets out the analytical tools for network performance evaluation and optimization for current and next generation networks, as well as the latest advances in enabling technologies. Backbone optical networks are evolving to mesh topologies using intelligent network elements; a new optical control plane is taking shape based on GMPLS; and significant advances have occurred in Fiber to the Home/Premises (the 'last mile'), metropolitan area networks, protection and restoration, and IP over WDM. New research on all-optical packet switched networks is also covered in depth. Also included are current trends and new applications on the commercial scene. This book is an invaluable resource for graduate and senior undergraduate students in electrical engineering, computer science, and applied physics, and fo

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

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

For its operational planning and budget programming, the Department of Defense (DoD) needs frequent access to current, detailed data on authorized force structures for all the services. Having users

New possibilities have recently emerged for producing optical beams with complex and intricate structures, and for the non-contact optical manipulation of matter. This book fully describes the electro

Well-illustrated, practical approach to creating star-faced spherical forms that can serve as basic structures for geodesic domes. Complete instructions for making models from circular bands of paper

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

This Brief reviews a number of techniques exploiting the surrogate-based optimization concept and variable-fidelity EM simulations for efficient optimization of antenna structures. The introduction of

Supported collaborative teacher inquiry (SCTI) describes the process of professional development in which teacher teams build collaborative structures for the purpose of inquiring into aspects of thei

Supported collaborative teacher inquiry (SCTI) describes the process of professional development in which teacher teams build collaborative structures for the purpose of inquiring into aspects of thei

Python is today's fastest growing programming language. This engaging and refreshingly different guide breaks down the skills into clear step-by-step chunks and explains the theory using brief easy-to-understand language. Rather than bamboozling readers with pages of mind-numbing technical jargon, this book includes 150 practical challenges, putting the power in the reader's hands. Through creating programs to solve these challenges the reader will quickly progress from mastering the basics to confidently using subroutines, a graphical user interface, and linking to external text, csv and SQL files. This book is perfect for anyone who wants to learn how to program with Python. In particular, students starting out in computer science and teachers who want to improve their confidence in Python will find here a set of ready-made challenges for classroom use.

A motivation for structural health monitoring. Structural health monitoring of aircraft structures. Vibration-based damage diagnosis and monitoring of external loads.Statistical time series methods fo

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.

The book provides hand-on guidelines for employing MATLAB and SIMULINK tools meant for the problems of introductory electrical circuit course. Computer-generated solutions of electric circuit problems

Morphological structures interact dynamically with lexical processing and storage, with the parameters of morphological typology being partly dependent on cognitive pathways for processing, storage and generalization of word structure, and vice versa. Bringing together a team of well-known scholars, this book examines the relationship between linguistic cognition and the morphological diversity found in the world's languages. It includes research from across linguistic and cognitive science sub-disciplines that looks at the nature of typological diversity and its relationship to cognition, touching on concepts such as complexity, interconnectedness within systems, and emergent organization. Chapters employ experimental, computational, corpus-based and theoretical methods to examine specific morphological phenomena, and an overview chapter provides a synthesis of major research trends, contextualizing work from different methodological and philosophical perspectives. Offering a novel pe

Stimulating, thought-provoking analysis of a number of the most interesting intellectual inconsistencies in mathematics, physics, and language. Delightful elucidations of methods for misunderstanding