Mathematics of Discrete Structures for Computer Science

Written for maximum flexibility, this best-selling junior level mechanics text is easily adaptable to any length--one- or two-semester--or focus of course.LAGRANGIAN and HAMILTONIAN DYNAMICS are introduced early in the text.This text has an entire chapter on NONLINEAR METHODS.NUMERICAL METHODS PROBLEMS are included for students to solve using a computer.

Number theory has a long and distinguished history and the concepts and problems relating to the subject have been instrumental in the foundation of much of mathematics. In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner. Though most of the text is classical in content, he includes many guides to further study which will stimulate the reader to delve into the great wealth of literature devoted to the subject. The book is based on Professor Baker's lectures given at the University of Cambridge and is intended for undergraduate students of mathematics.

In his Metaphysical Foundations of Natural Science (1786), Kant accounts for the possibility of an acting-at-a-distance gravitational force, demonstrates the infinite divisibility of matter, and derives analogues to Newtonian laws of motion. The work is his major statement in philosophy of science, and was especially influential in German-speaking countries in the nineteenth century. However, this complex text has not received the scholarly attention it deserves. The chapters of this Critical Guide clarify the accounts of matter, motion, the mathematization of nature, space, and natural laws exhibited in the Metaphysical Foundations; elucidate the relationship between its metaphysics of nature and Kant's critical philosophy; and describe the historical context for Kant's account of natural science. The volume will be an invaluable resource for understanding one of Kant's most difficult works, and will set the agenda for future scholarship on Kant's philosophy of science.

The renowned English chemist and meteorologist John Dalton (1766–1844) published A New System of Chemical Philosophy in two volumes, between 1808 and 1827. Dalton's discovery of the importance of the relative weight and structure of particles of a compound for explaining chemical reactions transformed atomic theory and laid the basis for much of what is modern chemistry. Volume 1, published 1808–1810, introduces Dalton's atomic theory and includes the results he obtained for the weights and structures of twelve groups of compounds. Volume 2, 1827, contains sections examining the weights and structures of two-element compounds for five different compound groups along with various notes and tables. Dalton's work is a monument of nineteenth-century chemistry. It will continue to be read and enjoyed by anybody interested in the history and development of science.

This book is an advanced text in welfare economics and its application to environmental economics. It provides, in the first chapters, a comprehensive survey of developments in the theory of measurement of welfare, and then applies this theory to environmental economics. The first part derives consumer surplus measures to be held in a timeless world. Throughout the emphasis is on the circumstances in which a money measure correctly reflects the underlying utility change. Four main cases are considered: unrationed private goods, rationed private goods, public goods or externalities, and discrete choices. Reviews of practical methodologies for the calculation of consumers' surplus for these classes of goods are also given. The second part looks at intertemporal issues. In particular, it derives comsumer faces risk and uncertainty. The book is intended for advanced courses in environmental and welfare economics, and as a reference work for those interested in the theory of measurement of

Andrew Russell Forsyth (1858–1942) was an influential Scottish mathematician notable for incorporating the advances of Continental mathematics within the British tradition. Originally published in 1890, this book constitutes the first of six volumes in Forsyth's Theory of Differential Equations series, concentrating specifically on exact equations and Pfaff's problem. The text contains detailed information on the development of these areas and substantial contributions made to them. All sources are quoted in their proper connection and a few fresh investigations are added. Examples are given, where necessary, in order to provide illustrations of various methods. This book will be of value to anyone with an interest in differential equations and the history of mathematics.

This topical volume examines one of the leading problems in astronomy - how galaxies cluster in our Universe. This book, first published in 2000, describes gravitational theory, computer simulations and observations related to galaxy distribution functions. It embeds distribution functions in a broader astronomical context, including other exciting contemporary topics such as correlation functions, fractals, bound clusters, topology, percolation and minimal spanning trees. Key results are derived and the necessary gravitational physics provided to ensure the book is self-contained. Throughout the book, theory, computer simulation and observation are carefully interwoven and critically compared. The book also shows how future observations can test the theoretical models for the evolution of galaxy clustering at early times in our Universe. This clear and authoritative volume is written at a level suitable for graduate students, and will be of key interest to astronomers, cosmologists, p

Kohn (political science, U. of Florida-Gainesville) investigates whether place matters for politics whether shared physical presence can intensify for transform political experience and whether partic

Islamism in Indonesia and Malaysia has undergone a fascinating transformation from social movement roots to mainstream politics. How did this take place, and to what ends? Drawing on social movement theories, this Element explains this transformation by focusing on key Islamic social movements in these two countries. It argues: first, that the popularity and appeal of Islamism in Indonesia and Malaysia cannot be understood without appreciating how these social movements have enabled and facilitated mobilization; and second, that it is precisely these roots in civil societal mobilization that account for the enduring influence of Islamist politics evident in how Islamic social movements have shaped and transformed the political landscape. These arguments will be developed by unpacking how Islamist ideas took root in social movement settings, the kinds of institutional and organizational structures through which these ideas were advanced, and the changing political landscape that facilit

Suitable for fishing, hunting, tying, pulling, lifting and carrying, this book supports KS1-2 Science and Literacy.

This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze

Power is the central organizing concept for politics. However, despite decades of debate across political science, sociology, and philosophy, scholars have not yet settled on a proper definition of power. Existing definitions fail because they are either circular or so far removed from theordinary, quotidien meaning of power that they cannot credibly claim to be about the same concept. Political science has looked at how power works, but according to Guido Parietti, fails to define what power means. In On the Concept of Power, Parietti proposes a more proper definition of power--as the condition of having available possibilities and representing them as such--and examines its implications for the study of politics, both empirical and normative. By neglecting the category of possibility, significant portions of political science and philosophy become incapable of conceptualizing power, and therefore politics. Specifically, Parietti asserts that the main failure of political science is i

Silvan Tomkins was one of the most influential theorists on emotion and emotional expression. Over a period of 40 - some years - until his death in 1991 - he developed a set of original, important ideas about the nature of affect and its relationship to cognition and personality. Tomkins dealt with fundamental questions in a fresh and provocative way, establishing affect as a separate, biological system, and providing compelling data on discrete affect expressions. Several years before his death, Professor Tomkins agreed to bring his papers (unpublished and published) together into Exploring Affect for Cambridge Studies in Emotion and Social Interaction. He worked with Paul Ekman and Klaus Scherer to develop a structure for the book that would synthesize his theory of emotion. Unfortunately, he died before he was able to complete the process. Virginia Demos, who knew Professor Tomkins well, took on the enormous task of compiling the papers and writing connective material for the book.

Silvan Tomkins was one of the most influential theorists on emotion and emotional expression. Over a period of 40 - some years - until his death in 1991 - he developed a set of original, important ideas about the nature of affect and its relationship to cognition and personality. Tomkins dealt with fundamental questions in a fresh and provocative way, establishing affect as a separate, biological system, and providing compelling data on discrete affect expressions. Several years before his death, Professor Tomkins agreed to bring his papers (unpublished and published) together into Exploring Affect for Cambridge Studies in Emotion and Social Interaction. He worked with Paul Ekman and Klaus Scherer to develop a structure for the book that would synthesize his theory of emotion. Unfortunately, he died before he was able to complete the process. Virginia Demos, who knew Professor Tomkins well, took on the enormous task of compiling the papers and writing connective material for the book.

The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed in this book, first published in 2004, are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting, rather than the shortest, path to the results. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.

In the second installment of the science-fiction trilogy, Helen Friedman sets off for the Moon to look for answers after a space capsule bearing Neil Armstrong and Buzz Aldrin lands in the Indian Ocea

By the eighteenth century, Paris was one of the great wonders of Europe, renowned for its magnificent royal monuments and as a center for science, literature, and the arts. More so than any other Euro

Unlock the secrets behind everyday items and extraordinary inventions with exploded artworks and photographs that reveal the materials used to create everyday objects. Finding out What's It Made Of? is just the start of an amazing journey into the world of materials science, in this non-fiction book for science enthusiasts aged 9-12. Learn about the surprising properties of materials and how they are put to thousands of different uses, from sneakers to smartphones and game controllers to glue.This fascinating book reveals the secrets of many everyday objects, and a few more unusual ones. This science book for curious children offers: A breakdown of everyday and futuristic objects, revealing what goes into a range of common and cutting-edge items - from game controllers to space suits!Hyperrealistic artworks and vivid photos show each component and object up close and in incredible detail. STEM learning that supports classroom material science by showing how the properties of different

Originally published in 2001, Snow Ecology was the first book to integrate the study of snow and ice in the physical, chemical and biological sciences into a multidisciplinary overview of life in, on and under snow. The book opens up a perspective on snow cover as a habitat for organisms under extreme environmental conditions and as a key factor in the ecology of much of the earth's surface. Acknowledged experts in the disciplines that constitute snow science provide an understanding of the interrelationships between snow structure and life. It will form a useful textbook for advanced courses in biology, ecology, geography, environmental science and earth science where an important component is devoted to the study of the cryosphere. It will also be useful as a reference text for graduate students, researchers and professionals at academic institutions and in government and non-governmental agencies with environmental concerns.

In the spirit of Alladi Ramakrishnan’s profound interest and contributions to three fields of science — Mathematics, Statistics, and Physics — this volume contains invited surveys and research article

International contributors in computer science, software engineering, electronics engineering, and communication network protocols offer insight on the latest advances in mobile computing. Part 1 pres

The text covers important algorithm design techniques, such as greedy algorithms, dynamic programming, and divide-and-conquer, and gives applications to contemporary problems. Techniques including Fast Fourier transform, KMP algorithm for string matching, CYK algorithm for context free parsing and gradient descent for convex function minimization are discussed in detail. The book's emphasis is on computational models and their effect on algorithm design. It gives insights into algorithm design techniques in parallel, streaming and memory hierarchy computational models. The book also emphasizes the role of randomization in algorithm design, and gives numerous applications ranging from data-structures such as skip-lists to dimensionality reduction methods.

The text covers important algorithm design techniques, such as greedy algorithms, dynamic programming, and divide-and-conquer, and gives applications to contemporary problems. Techniques including Fast Fourier transform, KMP algorithm for string matching, CYK algorithm for context free parsing and gradient descent for convex function minimization are discussed in detail. The book's emphasis is on computational models and their effect on algorithm design. It gives insights into algorithm design techniques in parallel, streaming and memory hierarchy computational models. The book also emphasizes the role of randomization in algorithm design, and gives numerous applications ranging from data-structures such as skip-lists to dimensionality reduction methods.

An epic history of money, trade and development since 1933From a leading economic historian, this is the history of the institutions and individuals who have managed the global economy, from the World Monetary and Economic Conference in the wake of the Great Depression to the presentSince the Second World War, organisations created at Bretton Woods - the International Monetary Fund and the International Bank of Reconstruction and Development - and afterwards - the General Agreement on Trade and Tariffs and the Organisation for Economic Co-operation and Development - have left an indelible mark on our contemporary world.Martin Daunton examines the swings of the pendulum over ninety years between the forces of democracy, national determination and globalization. He shows that the structures of economic government have been overwhelmingly shaped by 'first world' powers, often to the dismay of developing countries. He argues that whilst structures cannot be separated from the politics of a

This book addresses two questions - why some political systems have more centralized systems of interpersonal redistribution than others, and why some political unions make larger efforts to equalize resources among their constituent units than others. This book presents a new theory of the origin of fiscal structures in systems with several levels of government. The argument points to two major factors to account for the variation in redistribution: the interplay between economic geography and political representation on the one hand, and the scope of interregional economic externalities on the other. To test the empirical implications derived from the argument, the book relies on in-depth studies of the choice of fiscal structures in unions as diverse as the European Union, Canada and the United States in the aftermath of the Great Depression; Germany before and after Reunification; and Spain after the transition to democracy.

This book addresses two questions - why some political systems have more centralized systems of interpersonal redistribution than others, and why some political unions make larger efforts to equalize resources among their constituent units than others. This book presents a new theory of the origin of fiscal structures in systems with several levels of government. The argument points to two major factors to account for the variation in redistribution: the interplay between economic geography and political representation on the one hand, and the scope of interregional economic externalities on the other. To test the empirical implications derived from the argument, the book relies on in-depth studies of the choice of fiscal structures in unions as diverse as the European Union, Canada and the United States in the aftermath of the Great Depression; Germany before and after Reunification; and Spain after the transition to democracy.

In this book Professor Mastronarde draws on the seventeen surviving tragedies of Euripides, as well as the fragmentary remains of his lost plays, to explore key topics in the interpretation of the plays. It investigates their relation to the Greek poetic tradition and to the social and political structures of their original setting, aiming both to be attentive to the great variety of the corpus and to identify commonalities across it. In examining such topics as genre, structural strategies, the chorus, the gods, rhetoric, and the portrayal of women and men, this study highlights the ways in which audience responses are manipulated through the use of plot structures and the multiplicity of viewpoints expressed. It argues that the dramas of Euripides, through their dramatic technique, pose a strong challenge to simple formulations of norms, to the reading of consistent human character, and to the quest for certainty and closure.

Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging. In this text, the foundations of imaging and wavefield inversion are presented in a clear and systematic way. The necessary theory is gradually developed throughout the book, progressing from simple wave equation based models to vector wave models. By combining theory with numerous MATLAB based examples, the author promotes a complete understanding of the material and establishes a basis for real world applications. Key topics of discussion include the derivation of solutions to the inhomogeneous and homogeneous Helmholtz equations using Green function techniques; the propagation and scattering of waves in homogeneous and inhomogeneous backgrounds; and the concept of field time reversal. Bridging the gap between mathematics and physics, this multidisciplinary book will appeal to graduate students and researchers alike. Additional resources including MATLAB code

This text, suitable for graduates and researchers in physiology and biophysics and medical students specializing in neurophysiology and related fields, provides a comprehensive discussion of biological mass transfer and bioelectrical phenomena. Emphasis has been given to the applicability of physics, physical chemistry and mathematics to the quantitative analysis of biological processes, with all the necessary mathematical grounding provided in Chapter 1. This book guides the student through the key stages needed for the formulation of biological models and interpretation of mathematical solutions, central to the understanding of cell membrane functions.

This text, suitable for graduates and researchers in physiology and biophysics and medical students specializing in neurophysiology and related fields, provides a comprehensive discussion of biological mass transfer and bioelectrical phenomena. Emphasis has been given to the applicability of physics, physical chemistry and mathematics to the quantitative analysis of biological processes, with all the necessary mathematical grounding provided in Chapter 1. This book guides the student through the key stages needed for the formulation of biological models and interpretation of mathematical solutions, central to the understanding of cell membrane functions.

Finally, you can learn computation theory and programming language design in an engaging, practical way. Understanding Computation explains theoretical computer science in a context you’ll recognize,

Jennifer Trusted's new book argues that metaphysical beliefs are essential for scientific inquiry. The theories, presuppositions and beliefs that neither science nor everyday experience can justify ar

Cabinets of Experimental Philosophy in Eighteenth-Century Europe explains how collections of instruments for demonstrating the principles of Newtonian science were offered successfully to a broad publ

Population ecology has matured to a sophisticated science with astonishing potential for contributing solutions to wildlife conservation and management challenges. And yet, much of the applied power

Written for plastic surgeons, otolaryngologists, head and neck surgeons, and oral and maxillofacial surgeons, this volume outlines the science, clinical problems and treatment methods, and future ther

This new resource provides a basic foundation in small animal anatomy for students of veterinary medicine, animal science, and veterinary technology. Extraordinary accuracy and beautiful original art

Quantum mechanics is our most successful physical theory. However, it raises conceptual issues that have perplexed physicists and philosophers of science for decades. This 2004 book develops an approach, based on the proposal that quantum theory is not a complete, final theory, but is in fact an emergent phenomenon arising from a deeper level of dynamics. The dynamics at this deeper level are taken to be an extension of classical dynamics to non-commuting matrix variables, with cyclic permutation inside a trace used as the basic calculational tool. With plausible assumptions, quantum theory is shown to emerge as the statistical thermodynamics of this underlying theory, with the canonical commutationticommutation relations derived from a generalized equipartition theorem. Brownian motion corrections to this thermodynamics are argued to lead to state vector reduction and to the probabilistic interpretation of quantum theory, making contact with phenomenological proposals for stochasti

Quantum mechanics is our most successful physical theory. However, it raises conceptual issues that have perplexed physicists and philosophers of science for decades. This 2004 book develops an approach, based on the proposal that quantum theory is not a complete, final theory, but is in fact an emergent phenomenon arising from a deeper level of dynamics. The dynamics at this deeper level are taken to be an extension of classical dynamics to non-commuting matrix variables, with cyclic permutation inside a trace used as the basic calculational tool. With plausible assumptions, quantum theory is shown to emerge as the statistical thermodynamics of this underlying theory, with the canonical commutationticommutation relations derived from a generalized equipartition theorem. Brownian motion corrections to this thermodynamics are argued to lead to state vector reduction and to the probabilistic interpretation of quantum theory, making contact with phenomenological proposals for stochasti

This volume in the Encyclopedia of Sustainability Science and Technology, Second edition, provides a comprehensive overview of complementary strategies for dealing with waste in and around urban areas

Meteorology of tropical West Africa: the Forecasters’ Handbook presents the science and practice of weather forecasting for an important region of the tropics. Connecting basic theory with forecasting