Mathematics of Discrete Structures for Computer Science

Sporadic Groups is the first step in a programme to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups. Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author's text Finite Group Theory. Introductory material useful for studying the sporadics, such as a discussion of large extraspecial 2-subgroups and Tits' coset geometries, opens the book. A construction of the Mathieu groups as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This is fo

Sporadic Groups is the first step in a programme to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups. Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author's text Finite Group Theory. Introductory material useful for studying the sporadics, such as a discussion of large extraspecial 2-subgroups and Tits' coset geometries, opens the book. A construction of the Mathieu groups as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This is fo

This book provides a rigorous course in the calculus of functions of a real variable. Its gentle approach, particularly in its early chapters, makes it especially suitable for students who are not headed for graduate school but, for those who are, this book also provides the opportunity to engage in a penetrating study of real analysis. The companion on-screen version of this text contains hundreds of links to alternative approaches, more complete explanations and solutions to exercises; links that make it more friendly than any printed book could be. In addition, there are links to a wealth of optional material that an instructor can select for a more advanced course, and that students can use as a reference long after their first course has ended. The on-screen version also provides exercises that can be worked interactively with the help of the computer algebra systems that are bundled with Scientific Notebook.

In this short book, renowned theoretical physicist and author Carlo Rovelli gives a straightforward introduction to Einstein's General Relativity, our current theory of gravitation. Focusing on conceptual clarity, he derives all the basic results in the simplest way, taking care to explain the physical, philosophical and mathematical ideas at the heart of “the most beautiful of all scientific theories”. Some of the main applications of General Relativity are also explored, for example, black holes, gravitational waves and cosmology, and the book concludes with a brief introduction to quantum gravity. Written by an author well known for the clarity of his presentation of scientific ideas, this concise book will appeal to university students looking to improve their understanding of the principal concepts, as well as science-literate readers who are curious about the real theory of General Relativity, at a level beyond a popular science treatment.

In this short book, renowned theoretical physicist and author Carlo Rovelli gives a straightforward introduction to Einstein's General Relativity, our current theory of gravitation. Focusing on conceptual clarity, he derives all the basic results in the simplest way, taking care to explain the physical, philosophical and mathematical ideas at the heart of “the most beautiful of all scientific theories”. Some of the main applications of General Relativity are also explored, for example, black holes, gravitational waves and cosmology, and the book concludes with a brief introduction to quantum gravity. Written by an author well known for the clarity of his presentation of scientific ideas, this concise book will appeal to university students looking to improve their understanding of the principal concepts, as well as science-literate readers who are curious about the real theory of General Relativity, at a level beyond a popular science treatment.

Global environmental change is occurring at a rate faster than humans have ever experienced. Climate change and the loss of ecosystem services are the two main global environmental crises facing us today. As a result, there is a need for better understanding of the specific and general resilience of networked ecosystems, cities, organisations and institutions to cope with change. In this book, an international team of experts provide cutting-edge insights into building the resilience and adaptive governance of complex social-ecological systems. Through a set of case studies, it focuses on the social science dimension of ecosystem management in the context of global change, in a move to bridge existing gaps between resilience, sustainability and social science. Using empirical examples ranging from local to global levels, views from a variety of disciplines are integrated to provide an essential resource for scholars, policy-makers and students, seeking innovative approaches to governan

The idea that science is a blueprint for research, and imagination gives research its life and purpose inspired this comprehensive explanation of research methodology. The authors' decades of experience have revealed that research is a craft requiring judgment and creativity, not simply memorization and application of the rules of science. Whether one is conducting an intimate one-on-one interview or a large-scale examination of an entire society, human imagination and scientific principles of inquiry go hand in hand. To that end, this book emphasizes scientific method, but also acknowledges its critics. It covers a wide variety of data-collection techniques, but presents them as reinforcing rather than competing with one another, thus striking a balance between qualitative and quantitative methods. It is designed for students and instructors who want a comprehensive treatment of a variety of research techniques with special emphasis on qualitative approaches.

The idea that science is a blueprint for research, and imagination gives research its life and purpose inspired this comprehensive explanation of research methodology. The authors' decades of experience have revealed that research is a craft requiring judgment and creativity, not simply memorization and application of the rules of science. Whether one is conducting an intimate one-on-one interview or a large-scale examination of an entire society, human imagination and scientific principles of inquiry go hand in hand. To that end, this book emphasizes scientific method, but also acknowledges its critics. It covers a wide variety of data-collection techniques, but presents them as reinforcing rather than competing with one another, thus striking a balance between qualitative and quantitative methods. It is designed for students and instructors who want a comprehensive treatment of a variety of research techniques with special emphasis on qualitative approaches.

Over the past thirty years Paul Feyerabend has developed an extremely distinctive and influentical approach to problems in the philosophy of science. The most important and seminal of his published essays are collected here in two volumes, with new introductions to provide an overview and historical perspective on the discussions of each part. Volume 1 presents papers on the interpretation of scientific theories, together with papers applying the views developed to particular problems in philosophy and physics. The essays in volume 2 examine the origin and history of an abstract rationalism, as well as its consequences for the philosophy of science and methods of scientific research. Professor Feyerabend argues with great force and imagination for a comprehensive and opportunistic pluralism. In doing so he draws on extensive knowledge of scientific history and practice, and he is alert always to the wider philosophical, practical and political implications of conflicting views. These t

The design and analysis of geometric algorithms have seen remarkable growth in recent years, due to their application in, for example, computer vision, graphics, medical imaging and CAD. The goals of this book are twofold: first to provide a coherent and systematic treatment of the foundations; secondly to present algorithmic solutions that are amenable to rigorous analysis and are efficient in practical situations. When possible, the algorithms are presented in their most general d-dimensional setting. Specific developments are given for the 2- or 3-dimensional cases when this results in significant improvements. The presentation is confined to Euclidean affine geometry, though the authors indicate whenever the treatment can be extended to curves and surfaces. The prerequisites for using the book are few, which will make it ideal for teaching advanced undergraduate or beginning graduate courses in computational geometry.

Process flowsheeting concerns the use of computers to stimulate and design chemical plant of all types, such as petroleum refineries, petrochemical complexes or even food factories. In this 1979 introduction to the topic the authors examine the role of flowsheeting in process plant design and look at the various techniques on which computer-aided systems may be based. For each one of these approaches the advantages and disadvantages are clearly stated and the four most important methods are described in detail. In each case the motivation for its development is analysed and its use is illustrated by a number of practical examples. Particular attention is devoted to the underlying technology of process flowsheeting systems, and an introduction to the analysis of degrees of freedom in flowsheeting and a guide to further reading are also included. This book will still hold value for those interested in the historical development of process flowsheeting.

This book is a short, focused introduction to Mathematica, the comprehensive software system for doing mathematics. Written for the beginning user, this engaging book contains an explanation of essential Mathematica commands, as well as the rich Mathematica interface for preparing polished technical documents. Mathematica can be used to graph functions, solve equations, perform statistics tests, and much more. In addition, it incorporates word processing and desktop publishing features for combining mathematical computations with text and graphics, and producing polished, integrated, interactive documents. You can even use it to create documents and graphics for the Web. This book explains everything you need to know to begin using Mathematica to do all these things and more. Written for Mathematica Version 3, this book can also be used with earlier versions of Mathematica, and even intermediate and advanced users may find useful information here, especially if they are making the swit

Presenting a methodology for using domino logic in an ASIC design flow developed over several years in an industrial context, this text covers practical issues related to the use of domino logic in an automated framework, and brings together all the knowledge needed to apply these design techniques in practice. Beginning with a discussion of how to achieve high speed in ASIC designs, subsequent chapters detail the design and characterization of standard cell compatible domino logic libraries and an advanced domino logic synthesis flow. The results achieved by using automated domino logic design techniques, including silicon measurements, are used to validate the presented solution. With design examples including the implementation of the execution unit of a microprocessor and a Viterbi decoder, this text is ideal for graduate students and researchers in electrical and computer engineering and also for circuit designers in industry.

Travel to deep space and back again with The Mars Challenge, a nonfiction graphic novel for teens about the science and logistics of a manned mission to Mars.Nadia is a teenager with a dream: to be th

Travel to deep space and back again with The Mars Challenge, a nonfiction graphic novel for teens about the science and logistics of a manned mission to Mars.Nadia is a teenager with a dream: to be th

Beaked whales are a group that has been shrouded in mystery for most of the twentieth century. A few species were known to science only because a partial skeleton happened to wash up on a remote shore

Presenting the top 50 stories from the first 50 years of the popular science fiction series, this is a go-to guide for getting started or renewing interest in Doctor Who. Ever since its premiere on No

8 year old Nancy Drew decides to build a model of a volcano for her science project. Best friends George (Georgia) Fayne and a gungho Bess Marvin arrive to help. But, the next day, their teacher Mrs.

Marley the rambunctious dog sniffs his way to Cassie's school and wreaks havoc as he searches for her, wolfing down hot dogs in the cafeteria, setting free a bunch of mice in science class and more mi

H G WellsHerbert George Wells, an English writer, was born on 21st 1866 and died on 13 Aug 1946. He was renowned for his works of science fiction especially ‘The Time Machine’. He is also referred as

A pioneering work in the realm of religion and science that seeks to build upon from where the latter stopped short at in its passionate search for the aliens.Are we alone? Is the Earth unique? Does l

In 1992 Vernor Vinge amazed the science fiction world with this epic novel of star-spanning adventure. It won the Hugo Award for Best Novel, and has since become a landmark in the field. Now, with the

A humorous and practical guide to the history and science of understanding the weather?plus, how to build your own barometer! For as long as man has walked upon this earth, he has been forced to survi

The Zack Files is a science fiction television program based on a book series of the same name. It revolves around a young boy, played by Robert Clark, who is a magnet for paranormal activity and atte

The Zack Files is a science fiction television program based on a book series of the same name. It revolves around a young boy, played by Robert Clark, who is a magnet for paranormal activity and atte

The Zack Files is a science fiction television program based on a book series of the same name. It revolves around a young boy, played by Robert Clark, who is a magnet for paranormal activity and atte

“One of the most satisfying science fiction novels I have read in years.”—The New York Times Book Review Here is a novel as original as the breathtaking, unspoiled world for which it is named, a place

In a data-driven society, individuals and companies encounter numerous situations where private information is an important resource. How can parties handle confidential data if they do not trust everyone involved? This text is the first to present a comprehensive treatment of unconditionally secure techniques for multiparty computation (MPC) and secret sharing. In a secure MPC, each party possesses some private data, while secret sharing provides a way for one party to spread information on a secret such that all parties together hold full information, yet no single party has all the information. The authors present basic feasibility results from the last 30 years, generalizations to arbitrary access structures using linear secret sharing, some recent techniques for efficiency improvements, and a general treatment of the theory of secret sharing, focusing on asymptotic results with interesting applications related to MPC.

Classical solutions play an important role in quantum field theory, high-energy physics and cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles, and extended structures, such as domain walls and cosmic strings, that have implications for early universe cosmology. Imaginary-time Euclidean instantons are responsible for important nonperturbative effects, while Euclidean bounce solutions govern transitions between metastable states. Written for advanced graduate students and researchers in elementary particle physics, cosmology and related fields, this book brings the reader up to the level of current research in the field. The first half of the book discusses the most important classes of solitons: kinks, vortices and magnetic monopoles. The cosmological and observational constraints on these are covered, as are more formal aspects, including BPS solitons and their connection with supersymmetry. The second half is devoted to Euclidean solutions, with

Classical solutions play an important role in quantum field theory, high-energy physics and cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles, and extended structures, such as domain walls and cosmic strings, that have implications for early universe cosmology. Imaginary-time Euclidean instantons are responsible for important nonperturbative effects, while Euclidean bounce solutions govern transitions between metastable states. Written for advanced graduate students and researchers in elementary particle physics, cosmology and related fields, this book brings the reader up to the level of current research in the field. The first half of the book discusses the most important classes of solitons: kinks, vortices and magnetic monopoles. The cosmological and observational constraints on these are covered, as are more formal aspects, including BPS solitons and their connection with supersymmetry. The second half is devoted to Euclidean solutions, with

We live in an era of constitution-making. New constitutions are appearing in historically unprecedented numbers, following regime change in some countries, or a commitment to modernization in others. No democratic constitution today can fail to recognize or provide for gender equality. Constitution-makers need to understand the gendered character of all constitutions, and to recognize the differential impact on women of constitutional provisions, even where these appear gender-neutral. This book confronts what needs to be considered in writing a constitution when gender equity and agency are goals. It examines principles of constitutionalism, constitutional jurisprudence, and history. Its goal is to establish a framework for a 'gender audit' of both new and existing constitutions. It eschews a simple focus on rights and examines constitutional language, interpretation, structures and distribution of power, rules of citizenship, processes of representation, and the constitutional recogn

We live in an era of constitution-making. New constitutions are appearing in historically unprecedented numbers, following regime change in some countries, or a commitment to modernization in others. No democratic constitution today can fail to recognize or provide for gender equality. Constitution-makers need to understand the gendered character of all constitutions, and to recognize the differential impact on women of constitutional provisions, even where these appear gender-neutral. This book confronts what needs to be considered in writing a constitution when gender equity and agency are goals. It examines principles of constitutionalism, constitutional jurisprudence, and history. Its goal is to establish a framework for a 'gender audit' of both new and existing constitutions. It eschews a simple focus on rights and examines constitutional language, interpretation, structures and distribution of power, rules of citizenship, processes of representation, and the constitutional recogn

Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

Wood ants play an ecologically dominant and conspicuous role in temperate boreal forests, making a keystone contribution to woodland ecosystem functions and processes. Wood ant taxonomy and global distributions set the scene for this text's exploration of wood ants as social insects, examining their flexible social structures, genetics, population ecology, and behaviour, from nest-mate recognition to task allocation. Wood ants' interactions with their environment and with other organisms are essential to their success: competition, predation and mutualism are described and analysed. Bringing together the expertise of ecological researchers and conservation practitioners, this book provides practical and theoretical advice about sampling and monitoring these insects, and outlines the requirements for effective conservation. This is an indispensable resource for wood ant researchers, entomologists, conservationists and ecological consultants, as well as anyone interested in social insect

This provocative new study one of the world's most distinguished anthropologists proposes that an understanding of cognitive science enriches, rather than threatens, the work of social scientists. Maurice Bloch argues for a naturalist approach to social and cultural anthropology, introducing developments in cognitive sciences such as psychology and neurology and exploring the relevance of these developments for central anthropological concerns: the person or the self, cosmology, kinship, memory and globalisation. Opening with an exploration of the history of anthropology, Bloch shows why and how naturalist approaches were abandoned and argues that these once valid reasons are no longer relevant. Bloch then shows how such subjects as the self, memory and the conceptualisation of time benefit from being simultaneously approached with the tools of social and cognitive science. Anthropology and the Cognitive Challenge will stimulate fresh debate among scholars and students across a wide ra

This provocative new study one of the world's most distinguished anthropologists proposes that an understanding of cognitive science enriches, rather than threatens, the work of social scientists. Maurice Bloch argues for a naturalist approach to social and cultural anthropology, introducing developments in cognitive sciences such as psychology and neurology and exploring the relevance of these developments for central anthropological concerns: the person or the self, cosmology, kinship, memory and globalisation. Opening with an exploration of the history of anthropology, Bloch shows why and how naturalist approaches were abandoned and argues that these once valid reasons are no longer relevant. Bloch then shows how such subjects as the self, memory and the conceptualisation of time benefit from being simultaneously approached with the tools of social and cognitive science. Anthropology and the Cognitive Challenge will stimulate fresh debate among scholars and students across a wide ra

Psychologists, sociologists, philosophers, historians - and even scientists themselves - have often tried to decipher the basis for creativity in science. Some have attributed creativity to a special logic, the so-called scientific method, whereas others have pointed to the inspirations of genius or to the inevitable workings of the zeitgeist. Finally, some have viewed scientific breakthroughs as the product of chance, as witnessed in the numerous episodes of serendipity. Too often these four alternative interpretations are seen as mutually exclusive. Yet the central thesis of this book is that the chance, logic, genius, and zeitgeist perspectives can be integrated into a single coherent theory of creativity in science. But for this integration to succeed, change must be elevated to the status of primary cause. Logic, genius and the zeitgeist still have significant roles to play but mainly operate insofar as they enhance, or constrain the operation of a chance combinatorial process.

Psychologists, sociologists, philosophers, historians - and even scientists themselves - have often tried to decipher the basis for creativity in science. Some have attributed creativity to a special logic, the so-called scientific method, whereas others have pointed to the inspirations of genius or to the inevitable workings of the zeitgeist. Finally, some have viewed scientific breakthroughs as the product of chance, as witnessed in the numerous episodes of serendipity. Too often these four alternative interpretations are seen as mutually exclusive. Yet the central thesis of this book is that the chance, logic, genius, and zeitgeist perspectives can be integrated into a single coherent theory of creativity in science. But for this integration to succeed, change must be elevated to the status of primary cause. Logic, genius and the zeitgeist still have significant roles to play but mainly operate insofar as they enhance, or constrain the operation of a chance combinatorial process.

Is contemporary continental philosophy making a break with Kant? The structures of knowledge, taken for granted since Kant?s Critique of Pure Reason, are now being called into question: the finitude of the subject, the phenomenal given, a priori synthesis. Relinquish the transcendental: such is the imperative of postcritical thinking in the 21st century.Questions that we no longer thought it possible to ask now reemerge with renewed vigor: can Kant really maintain the difference between a priori and innate? Can he deduce, rather than impose, the categories, or justify the necessity of nature? Recent research into brain development aggravates these suspicions, which measure transcendental idealism against the thesis of a biological origin for cognitive processes.In her important new book Catherine Malabou lays out Kant?s response to his posterity. True to its subject, the book evolves as an epigenesis ? the differentiated growth of the embryo ? for, as those who know how to read critica