Mathematics of Discrete Structures for Computer Science

This is a genuine introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book contains several hundred worked examples and exercises, making it suitable for adoption as a course text. From the lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, whilst the ideas of linear systems are used to discuss the classical group structure on the cubic.

This is a genuine introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book contains several hundred worked examples and exercises, making it suitable for adoption as a course text. From the lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, whilst the ideas of linear systems are used to discuss the classical group structure on the cubic.

This self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduate-level probability theory. The book starts with a concise introduction to statistical mechanics, proceeds to disordered lattice spin systems, and concludes with a presentation of the latest developments in the mathematical understanding of mean-field spin glass models. In particular, progress towards a rigorous understanding of the replica symmetry-breaking solutions of the Sherrington-Kirkpatrick spin glass models, due to Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in some detail.

This self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduate-level probability theory. The book starts with a concise introduction to statistical mechanics, proceeds to disordered lattice spin systems, and concludes with a presentation of the latest developments in the mathematical understanding of mean-field spin glass models. In particular, progress towards a rigorous understanding of the replica symmetry-breaking solutions of the Sherrington-Kirkpatrick spin glass models, due to Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in some detail.

The abstract branch of theoretical computer science known as Computation Theory typically appears in undergraduate academic curricula in a form that obscures both the mathematical concepts that are ce

This work describes the state of the art in digital image database design, concentrating on storage and retrieval techniques. Material by experts in computer science, electrical engineering, and infor

Leading young scientists, many holding prestigious Royal Society Research Fellowships, describe their research and give their visions of the future. Re-written in a popular and well illustrated style, the articles are derived from scholarly and authoritative papers published in a special Millennium Issue of the Royal Society's Philosophical Transactions (used by Newton, this is the world's longest running scientific journal). Carefully selected by the journal's editor, Professor J. M. T. Thompson FRS, topics include quantum physics and its relation to relativity theory and human consciousness; electronics for the future; exotic quantum computing and data storage; telecommunications and the internet. The book conveys the excitement and enthusiasm of the young authors for their work in Physics and Electronics. Two companion books cover Astronomy and Earth Science, and Chemistry and Life Science. All are definitive reviews for anyone with a general interest in the future directions of sci

The eagerly-awaited second volume of The Cambridge Translations of Medieval Philosophical Texts will allow scholars and students access for the first time in English to major texts in ethics and political thought from one of the most fruitful periods of speculation and analysis in the history of western thought. Beginning with Albert the Great, who introduced the Latin west to the challenging moral philosophy and natural science of Aristotle, and concluding with the first substantial presentation in English of the revolutionary ideas on property and political power of John Wyclif, the seventeen texts in this anthology offer late medieval treatments of fundamental issues in human conduct that are both conceptually subtle and of direct practical import. Special features of this volume include copious editorial introductions, an analytical index, and suggestions for further reading. This is an important resource for scholars and students of medieval philosophy, history, political science,

Astronomy has become data-driven in ways that are both quantitatively and qualitatively different from the past: data structures are not simple; procedures to gain astrophysical insights are not obvious; and the informational content of the data sets is so high that archival research and data mining are not merely convenient, but obligatory, as researchers who obtain the data can only extract a small fraction of the science enabled by it. IAU Symposium 325 took place at a crucial stage in the development of the field, when many efforts have carried significant achievements, but the widespread groups have just begun to effectively communicate across specialties, to gather and assimilate their achievements, and to consult cross-disciplinary experts. Bringing together astronomers involved in surveys and large simulation projects, computer scientists, data scientists, and companies, this volume showcases their fruitful exchange of ideas, methods, software, and technical capabilities.

The sheer complexity of computer systems has meant that automated reasoning, i.e. the ability of computers to perform logical inference, has become a vital component of program construction and of programming language design. This book meets the demand for a self-contained and broad-based account of the concepts, the machinery and the use of automated reasoning. The mathematical logic foundations are described in conjunction with practical application, all with the minimum of prerequisites. The approach is constructive, concrete and algorithmic: a key feature is that methods are described with reference to actual implementations (for which code is supplied) that readers can use, modify and experiment with. This book is ideally suited for those seeking a one-stop source for the general area of automated reasoning. It can be used as a reference, or as a place to learn the fundamentals, either in conjunction with advanced courses or for self study.

Jacques Catteau's much-acclaimed book on Dostoyevsky, which has already received three literary prizes (and one medical) in France, appears here in English for the first time. It is an original and detailed attempt to re-examine Dostoyevsky the artist, tracing the creative process from its beginnings in the notebooks to its expression in the novels, and at the same time analysing the structures of time and space, the role of colour, and other important features of the texts. For this edition the author has taken the opportunity to revise his text and bring the bibliography up to date, where possible giving references to the Soviet Academy of Sciences' edition of Dostoyeysky's works and to English versions of critical sources.

This book, first published in 2004, describes the application of statistical physics and complex systems theory to the study of the evolution and structure of the Internet. Using a statistical physics approach the Internet is viewed as a growing system that evolves in time through the addition and removal of nodes and links. This perspective permits us to outline the dynamical theory required for a description of the macroscopic evolution of the Internet. The presence of such a theoretical framework appears to be a revolutionary and promising path towards our understanding of the Internet and the various processes taking place on this network, including, for example, the spread of computer viruses or resilience to random or intentional damages. This book will be of interest to graduate students and researchers in statistical physics, computer science and mathematics studying in this subject.

Satellite Earth Observation is a very dynamic field of science, as it is closely related to developments in several new technologies: sensors, satellite missions, and computer resources. The updated v

The Information Systems (IS) discipline was founded on the intersection of computer science and organizational sciences, and produced a rich body of research on topics ranging from database design and

William Thomson, Baron Kelvin (1824–1907), born with a great talent for mathematics and physics, was educated at Glasgow and Cambridge. While only in his twenties, he was appointed to the University of Glasgow's Chair in Natural Philosophy, which he was to hold for over fifty years. He is best known for lending his name to the Kelvin unit of measurement for temperature, after his development of an absolute scale of temperature. This book is a corrected 1884 edition of Kelvin's 1872 collection of papers on electrostatics and magnetism. It includes all his work on these subjects previously published as articles in journals including the Cambridge Mathematical Journal and the Transactions of the Royal Society. Kelvin also wrote several new items to fill gaps in this collection, so that its coverage of the state of electromagnetic research in the late nineteenth century is comprehensive.

First published in 1941, this book, by one of the foremost geometers of his day, rapidly became a classic. In its original form the book constituted a section of Hodge's essay for which the Adam's prize of 1936 was awarded, but the author substantially revised and rewrote it. The book begins with an exposition of the geometry of manifolds and the properties of integrals on manifolds. The remainder of the book is then concerned with the application of the theory of harmonic integrals to other branches of mathematics, particularly to algebraic varieties and to continuous groups. Differential geometers and workers in allied subjects will welcome this reissue both for its lucid account of the subject and for its historical value. For this paperback edition, Professor Sir Michael Atiyah has written a foreword that sets Hodges work in its historical context and relates it briefly to developments.

Petri Nets were defined for the study of discrete events systems and later extended for many purposes including dependability assessment. In our knowledge, no book deals specifically with the use of d

This is the first International Conference on Advances in Computing (ICAdC-2012). The scope of the conference includes all the areas of New Theoretical Computer Science, Systems and Software, and Inte

The field of graph algorithms has become one of the pillars of theoretical computer science. This is an introduction to graph algorithms accessible to anyone with a strong linear algebra background –

Adopting a uniquely pedagogical approach, this comprehensive textbook on the quantum mechanics of semiconductor materials and devices focuses on the materials, components and devices themselves whilst incorporating a substantial amount of fundamental physics related to condensed matter theory and quantum mechanics. Written primarily for advanced undergraduate students in physics and engineering, this book can also be used as a supporting text for introductory quantum mechanics courses, and will be of interest to anyone interested in how electronic devices function at a fundamental level. Complete with numerous exercises, and with all the necessary mathematics and physics included in appendices, this book guides the reader seamlessly through the principles of quantum mechanics and the quantum theory of metals and semiconductors, before describing in detail how devices are exploited within electric circuits and in the hardware of computers, for example as amplifiers, switches and transis

For sophomore-level courses in Assembly Language Programming in Computer Science, Embedded Systems Design, Real-Time Analysis, Computer Engineering, or Electrical Engineering curricula. Requires prior

These notes comprise an introduction to combinatorial group theory and represent an extensive revision of the author's earlier book in this series, which arose from lectures to final-year undergraduates and first-year graduates at the University of Nottingham. Many new examples and exercises have been added and the treatment of a number of topics has been improved and expanded. In addition, there are new chapters on the triangle groups, small cancellation theory and groups from topology. The connections between the theory of group presentations and other areas of mathematics are emphasized throughout. The book can be used as a text for beginning research students and, for specialists in other fields, serves as an introduction both to the subject and to more advanced treatises.

The LNCS series reports state-of-the-art results in computer science research, development, and education, at a high level and in both printed and electronic form. Enjoying tight cooperation with the

This book is useful both to people in the statistics community and in the various communities in which networks currently are heavily used, such as parts of biology, computer science, engineering, ph

This textbook is intended for use in a course for undergraduate students in biology, neuroscience or psychology who have had an introductory course on the structure and function of the nervous system. Its primary purpose is to provide a working vocabulary and knowledge of the biology of vision and to acquaint students with the major themes in biological vision research. Part I treats the eye as an image-forming organ and provides an overview of the projections from the retina to key visual structures of the brain. Part II examines the functions of the retina and its central projections in greater detail, building on the introductory material of Part I. Part III treats certain special topics in vision that require this detailed knowledge of the structure and properties of the retina and visual projections.

Richard Feynman was one of the most famous and important physicists of the second half of the twentieth century. Awarded the Nobel Prize for Physics in 1965, celebrated for his spirited and engaging lectures, and briefly a star on the evening news for his presence on the commission investigating the explosion of the space shuttle Challenger, Feynman is best known for his contributions to the field of quantum electrodynamics. The Character of Physical Law, drawn from Feynman's famous 1964 series of Messenger Lectures at Cornell, offers an introduction to modern physics -- and to Feynman at his witty and enthusiastic best. Feynman offers an overview of selected physical laws and gathers their common features into one broad principle of invariance -- arguing that the importance of a physical law is not "how clever we are to have found it out" but "how clever nature is to pay attention to it." He discusses such topics as the interaction of mathematics and physics, the principle of conserva

This book is a self-contained introduction to the fundamental and interesting topics of geometry. The topics covered include the definitions and properties of 2D and 3D shapes, the basic concepts and formulas of perimeter, area and volume, the Pick’s formula, the Cavalieri’s principles, the basic geometric transformations, the concepts of tessellations, the Euler’s polyhedral formula, and the methods of construction of regular polygons and regular polyhedra. Complemented by diagrams, pictures, examples and exercises, the materials covered are suitable for an introductory course on geometry and will appeal to school students, teachers, junior undergraduate students, mathematics instructors or lecturers alike.

This new edition of Conceptual Developments of 20th Century Field Theories explores the conceptual foundations and historical roots of fundamental field theories. It also uncovers the underlying issues, logic and dynamics in fundamental physics. In response to new advances in the field over the past twenty years, the sections on gauge theory and quantum field theory have been thoroughly revised and elaborated. The chapter on ontological synthesis and scientific realism has also been reconsidered, now suggesting a new approach that goes beyond structuralism and historicism. Providing an integrated picture of the physical world, it is a valuable resource for theoretical physicists and philosophers of science with an interest in the development of twentieth century mathematical physics. It also provides professional historians and sociologists of science with a basis for further historical, cultural and sociological analysis of the theories discussed.

This brief will explore topics in computer science through the lens of Two Bit Circus, an engineering entertainment company based out of downtown Los Angeles. This brief examines the ways they apply c

The rural landscape of England and Wales in the mid-nineteenth century is minutely depicted in the large-scale plans and schedules drawn for the Tithe Commissioners. Among other features shown on the maps are field boundaries and rights of way, whilst the accompanying schedules record the names of owners and occupiers, field names, land use and area. The amount of detailed information they provide, together with their uniformity, place the surveys as the most complete record of the agrarian landscape at any period. This book describes the nature of tithe payments, the Tithe Commutation Act of 1836 and the survey of over 11,000 parishes. The uses made of the surveys for reconstructing early field systems, for tracing land use and understanding farming practices, are systematically considered, The abstraction, computer processing and mapping of vast quantities of data are discussed.

From the author of Meals That Heal, an anti-inflammatory cookbook with quick, 15-minute recipes for your instant pot, air fryer, sheet pan, and more―including science-based info on reducing inflammation and preventing or reversing disease through healthy eatingEasy anti-inflammatory recipes for every meal―all prepped in 15 minutes or less―plus specialized meal plans and tips for healthy eatingDid you know that chronic inflammation is one of the greatest threats to human health? When left unchecked, it can lead to diseases like stroke, heart disease, cancer, and diabetes. But there’s good news: Inflammation can be calmed with a healthy lifestyle and diet, which is simpler than ever with Meals That Heal – One Pot.Dietitian Carolyn Williams has created a menu of quick and easy recipes with healthy anti-inflammatory ingredients: toss-and-go lunches, like Mediterranean Quinoa Salad; meatless meals, like Skillet Shakshuka; decadent desserts, like Gluten-Free Brownie Brittle; and so much more

Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann/Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and prime number theorem for graphs. Explicit constructions of graph coverings use Galois theory to generalize Cayley and Schreier graphs. Then non-isomorphic simple graphs with the same zeta are produced, showing you cannot hear the shape of a graph. The spectra of matrices such as the adjacency and edge adjacency matrices of a graph are essential to the plot of this book, which makes connections with quantum chaos and random matrix theory, plus expander/Ramanujan graphs of interest in computer science. Created for beginning graduate students, the book will also appeal to researchers. Many well-chosen illustrations and exercises, both theoretical and computer-based, are inclu

This book recognizes groundwater flow as a fundamental geologic agent, and presents a wide-ranging and illustrated overview of its history, principles, scientific consequences and practical utilization. The author, one of the founding fathers of modern hydrogeology, highlights key interrelationships between seemingly disparate processes and systems by tracing them to a common root cause - gravity-driven groundwater flow. Numerous examples demonstrate practical applications in a diverse range of subjects, including land-use planning, environment protection, wetland ecology, agriculture, forestry, geotechnical engineering, nuclear-waste disposal, mineral and petroleum exploration, and geothermal heat flow. The book contains numerous user-friendly features for a multidisciplinary readership, including full explanations of the relevant mathematics, emphasis on the physical meaning of the equations, and an extensive glossary. It is a key reference for researchers, consultants and advanced s

This book recognizes groundwater flow as a fundamental geologic agent, and presents a wide-ranging and illustrated overview of its history, principles, scientific consequences and practical utilization. The author, one of the founding fathers of modern hydrogeology, highlights key interrelationships between seemingly disparate processes and systems by tracing them to a common root cause - gravity-driven groundwater flow. Numerous examples demonstrate practical applications in a diverse range of subjects, including land-use planning, environment protection, wetland ecology, agriculture, forestry, geotechnical engineering, nuclear-waste disposal, mineral and petroleum exploration, and geothermal heat flow. The book contains numerous user-friendly features for a multidisciplinary readership, including full explanations of the relevant mathematics, emphasis on the physical meaning of the equations, and an extensive glossary. It is a key reference for researchers, consultants and advanced s

This volume surveys recent interactions between model theory and other branches of mathematics, notably group theory. Beginning with an introductory chapter describing relevant background material, the book contains contributions from many leading international figures in this area. Topics described include automorphism groups of algebraically closed fields, the model theory of pseudo-finite fields and applications to the subgroup structure of finite Chevalley groups. Model theory of modules, and aspects of model theory of various classes of groups, including free groups, are also discussed. The book also contains the first comprehensive survey of finite covers. Many new proofs and simplifications of recent results are presented and the articles contain many open problems. This book will be a suitable guide for graduate students and a useful reference for researchers working in model theory and algebra.

San Francisco is known and loved around the world for its iconic man-made structures, such as the Golden Gate Bridge, cable cars, and Transamerica Pyramid. Yet its Civic Center, with the grandest coll

This two-volume work, first published in 1843, was John Stuart Mill's first major book. It reinvented the modern study of logic and laid the foundations for his later work in the areas of political economy, women's rights and representative government. In clear, systematic prose, Mill (1806–73) disentangles syllogistic logic from its origins in Aristotle and scholasticism and grounds it instead in processes of inductive reasoning. An important attempt at integrating empiricism within a more general theory of human knowledge, the work constitutes essential reading for anyone seeking a full understanding of Mill's thought. Volume 1 contains Mill's introduction, which elaborates upon his definition of logic as 'not the science of Belief, but the science of Proof, or Evidence'. It also features discussions of the central components of logical reasoning - propositions and syllogisms - in relation to Mill's theories of inductive reasoning and experimental method.

Historically, naturalists who proposed theories of evolution, including Darwin and Wallace, did so in order to explain the apparent relationship of natural classification. This book begins by exploring the intimate historical relationship between patterns of classification and patterns of phylogeny. However, it is a circular argument to use the data for classification. Alec Panchen presents other evidence for evolution in the form of a historically based but rigorously logical argument. This is followed by a history of methods of classification and phylogeny reconstruction including current mathematical and molecular techniques. The author makes the important claim that if the hierarchical pattern of classification is a real phenomenon, then biology is unique as a science in making taxonomic statements. This conclusion is reached by way of historical reviews of theories of evolutionary mechanism and the philosophy of science as applied to biology. The book is addressed to biologists, p

Seismic Risk Analysis of Nuclear Power Plants addresses the needs of graduate students in engineering, practicing engineers in industry, and regulators in government agencies, presenting the entire process of seismic risk analysis in a clear, logical, and concise manner. It offers a systematic and comprehensive introduction to seismic risk analysis of critical engineering structures focusing on nuclear power plants, with a balance between theory and applications, and includes the latest advances in research. It is suitable as a graduate-level textbook, for self-study, or as a reference book. Various aspects of seismic risk analysis - from seismic hazard, demand, and fragility analyses to seismic risk quantification, are discussed, with detailed step-by-step analysis of specific engineering examples. It presents a wide range of topics essential for understanding and performing seismic risk analysis, including engineering seismology, probability theory and random processes, digital signa

This book is born out of two contradictions: first, it explores the making of meaning in a musical form that was made to lose its meaning at the turn of the nineteenth century; secondly, it is a history of a music that claims to have no history - absolute music. The book therefore writes against that notion of absolute music which tends to be the paradigm for most musicological and analytical studies. It is concerned not so much with what music is, but with why and how meaning is constructed in instrumental music and what structures of knowledge need to be in place for such meaning to exist. From the thought of Vincenzo Galilei to that of Theodore Adorno, Daniel Chua suggests that instrumental music has always been a critical and negative force in modernity, even with its nineteenth-century apotheosis as 'absolute music'.