Mathematics of Discrete Structures for Computer Science

Field Theory is a fascinating branch of algebra, with many interesting applications, and its central result, the Fundamental Theorem of Galois Theory, is by any standards one of the really important theorems of mathematics. This book brings the reader from the basic definitions to important results and applications, and introduces him to the spirit and some of the techniques of abstract algebra. It is addressed to undergraduates in pure mathematics and presupposes only a little knowledge of elementary group theory. Chapter I develops the elementary properties of rings and fields including the notions of characteristic, prime fields and various types of homomorphisms. In Chapter II extension fields and various ways of classifying them are studies. Chapter III gives an exposition of the Galois Theory, following Artin's approach, and Chapter IV provides a wide variety of applications of the preceding theory. For the second edition Dr Adamson has improved the exposition in places, made co

Migration, participation, and citizenship, are central political and social concerns, are deeply affected by money. The role of money - tangible, intangible, conceptual, and as a policy tool - is understudied, overlooked, and analytically underdeveloped. For sending and receiving societies, migrants, their families, employers, NGOs, or private institutions, money defines the border, inclusion or exclusion, opportunity structures, and equality or the lack thereof. Through the analytical lens of money, the chapters in this book expose hidden and sometimes contradictory policy objectives, unwanted consequences, and inconsistent regulatory structures. The authors from a range of fields provide multiple perspectives on how money shapes decisions from all actors in migration trajectories, from micro to macro level. Taking an interdisciplinary approach, the book draws on case studies from Europe, the Americas, Asia, and Africa. This comprehensive overview brings to light the deep global impac

With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York, Stony Brook, the book includes numerous exercises and worked examples, and is ideal for graduate courses on Lie groups and Lie algebras.

With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York, Stony Brook, the book includes numerous exercises and worked examples, and is ideal for graduate courses on Lie groups and Lie algebras.

Carl Sagan's many contributions to science and society have been profound and far-reaching, influencing millions of people around the world. He carried out significant research in planetary science, was closely associated with the US space program, created the highly acclaimed television series Cosmos, and was the Pulitzer Prize-winning author of many best-selling popular science books. Carl Sagan's Universe is a fascinating and beautifully illustrated collection of articles by a distinguished team of authors, and covers the many fields of science, education, policy making, and related areas in which Sagan worked. The book is divided into four sections, the first two of which provide an absorbing overview of the US space program (as well as a complementary account of the Russian program), and of the history and current status of the search for extraterrestrial life. The final two sections deal with the importance of science education in the successful development of a technological so

Migration and colonization are major forces affecting the frequency, spatial pattern and spread of genes in human populations. Here, Alan Fix reviews theories of migration developed by biologists and social scientists and surveys patterns of migration in a diverse sample of human populations. Using these empirical studies, he evaluates models of migration developed by population geneticists and explores more realistic models using computer simulation. He then shows the relevance of studies of migration as a microevolutionary process to the understanding of longer term global patterns of human diversification, by examining the spread of anatomically modern Homo sapiens, the demic diffusion of agriculture in Europe, and the origins of human diversity in the Malayan Peninsula. By focusing on migration as a process rather than as its genetic consequences, the book provides a bridge between biological and social science studies of migration, genetic microevolutionary theory and longer term

Migration and colonization are major forces affecting the frequency, spatial pattern and spread of genes in human populations. Here, Alan Fix reviews theories of migration developed by biologists and social scientists and surveys patterns of migration in a diverse sample of human populations. Using these empirical studies, he evaluates models of migration developed by population geneticists and explores more realistic models using computer simulation. He then shows the relevance of studies of migration as a microevolutionary process to the understanding of longer term global patterns of human diversification, by examining the spread of anatomically modern Homo sapiens, the demic diffusion of agriculture in Europe, and the origins of human diversity in the Malayan Peninsula. By focusing on migration as a process rather than as its genetic consequences, the book provides a bridge between biological and social science studies of migration, genetic microevolutionary theory and longer term

Noting a dearth of literature for training language interpreters Rudvin (foreign languages and literature, U. of Bologna) and Tomassini (science of linguistic mediation, Fondazione Universitaria San P

The encyclopedic dictionary of the art and science of farriery, designed for cross-referencing. Well illustrated with appendices of full-page illustrations, historical reference material, and resourc

For graduate and undergraduate students of electrical power systems, Murty (electrical engineering, Sreenidhi Institute of Science and Technology) sets out the basics of controlling operations. He dev

Aristotle's "Posterior Analytics" elaborates the notions of science and the requirements for the distinctive kind of knowledge scientists possess. This book explores the foundations of Aristotle's the

Ecology, the Ascendent Perspective provides an entirely fresh view of the origins of organization in living systems. Writing for theoretical ecologists, biologists, and philosophers of science, Robert

Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. The subject overlaps with convex geometry and employs many tools from that area, including some formulas from integral geometry. It also has connections to discrete tomography, geometric probing in robotics and to stereology. This comprehensive study provides a rigorous treatment of the subject. Although primarily meant for researchers and graduate students in geometry and tomography, brief introductions, suitable for advanced undergraduates, are provided to the basic concepts. More than 70 illustrations are used to clarify the text. The book also presents 66 unsolved problems. Each chapter ends with extensive notes, historical remarks, and some biographies. This edition includes numerous updates and imp

Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. The subject overlaps with convex geometry and employs many tools from that area, including some formulas from integral geometry. It also has connections to discrete tomography, geometric probing in robotics and to stereology. This comprehensive study provides a rigorous treatment of the subject. Although primarily meant for researchers and graduate students in geometry and tomography, brief introductions, suitable for advanced undergraduates, are provided to the basic concepts. More than 70 illustrations are used to clarify the text. The book also presents 66 unsolved problems. Each chapter ends with extensive notes, historical remarks, and some biographies. This edition includes numerous updates and imp

Free surface problems occur in many aspects of science and of everyday life such as the waves on a beach, bubbles rising in a glass of champagne, melting ice, pouring flows from a container and sails billowing in the wind. Consequently, the effect of surface tension on gravity-capillary flows continues to be a fertile field of research in applied mathematics and engineering. Concentrating on applications arising from fluid dynamics, Vanden-Broeck draws upon his years of experience in the field to address the many challenges involved in attempting to describe such flows mathematically. Whilst careful numerical techniques are implemented to solve the basic equations, an emphasis is placed upon the reader developing a deep understanding of the structure of the resulting solutions. The author also reviews relevant concepts in fluid mechanics to help readers from other scientific fields who are interested in free boundary problems.

The term probability can be used in two main senses. In the frequency interpretation it is a limiting ratio in a sequence of repeatable events. In the Bayesian view, probability is a mental construct representing uncertainty. This 2002 book is about these two types of probability and investigates how, despite being adopted by scientists and statisticians in the eighteenth and nineteenth centuries, Bayesianism was discredited as a theory of scientific inference during the 1920s and 1930s. Through the examination of a dispute between two British scientists, the author argues that a choice between the two interpretations is not forced by pure logic or the mathematics of the situation, but depends on the experiences and aims of the individuals involved. The book should be of interest to students and scientists interested in statistics and probability theories and to general readers with an interest in the history, sociology and philosophy of science.

In this text, students of applied mathematics, science and engineering are introduced to fundamental ways of thinking about the broad context of parallelism. The authors begin by giving the reader a deeper understanding of the issues through a general examination of timing, data dependencies, and communication. These ideas are implemented with respect to shared memory, parallel and vector processing, and distributed memory cluster computing. Threads, OpenMP, and MPI are covered, along with code examples in Fortran, C, and Java. The principles of parallel computation are applied throughout as the authors cover traditional topics in a first course in scientific computing. Building on the fundamentals of floating point representation and numerical error, a thorough treatment of numerical linear algebra and eigenvector/eigenvalue problems is provided. By studying how these algorithms parallelize, the reader is able to explore parallelism inherent in other computations, such as Monte Carlo

In this text, students of applied mathematics, science and engineering are introduced to fundamental ways of thinking about the broad context of parallelism. The authors begin by giving the reader a deeper understanding of the issues through a general examination of timing, data dependencies, and communication. These ideas are implemented with respect to shared memory, parallel and vector processing, and distributed memory cluster computing. Threads, OpenMP, and MPI are covered, along with code examples in Fortran, C, and Java. The principles of parallel computation are applied throughout as the authors cover traditional topics in a first course in scientific computing. Building on the fundamentals of floating point representation and numerical error, a thorough treatment of numerical linear algebra and eigenvector/eigenvalue problems is provided. By studying how these algorithms parallelize, the reader is able to explore parallelism inherent in other computations, such as Monte Carlo

The term probability can be used in two main senses. In the frequency interpretation it is a limiting ratio in a sequence of repeatable events. In the Bayesian view, probability is a mental construct representing uncertainty. This 2002 book is about these two types of probability and investigates how, despite being adopted by scientists and statisticians in the eighteenth and nineteenth centuries, Bayesianism was discredited as a theory of scientific inference during the 1920s and 1930s. Through the examination of a dispute between two British scientists, the author argues that a choice between the two interpretations is not forced by pure logic or the mathematics of the situation, but depends on the experiences and aims of the individuals involved. The book should be of interest to students and scientists interested in statistics and probability theories and to general readers with an interest in the history, sociology and philosophy of science.

A funny children’s illustrated science book with experiments for ages 8+ that is new for 2026Bonkers dilemmas that can be solved with science and a bunch of brilliant biology experiments.Rescue your favourite football socks from a dinosaur! Help Granny grow her lunch … in space! Save Mothers’ Day with an epic rainbow bouquet!Explore a bunch of ridiculous (and not-so-ridiculous) dilemmas – with solutions from the astonishing world of biology.Sounds unbelievable? Test the science for yourself, with easy-to-follow experiments throughout!What are you waiting for? Brian the T. rex is getting hungry …Written by bestselling and award-winning author Swapna Haddow, with brilliantly funny colour illustrations from award-winning illustrator Jess Bradley.BOOK 1 OUT NOW: How to Save Your Granny From a Runaway Train (physics)COMING SOON: How to Make Diamonds From Your Pencils (chemistry)Experiments in How to Stop a T. rex From Eating Your Socks:• Dyed celery • Model heart • Seed bombs • Giant gummy

Alan Turing (1912–1954) made seminal contributions to mathematical logic, computation, computer science, artificial intelligence, cryptography and theoretical biology. In this volume, outstanding scientific thinkers take a fresh look at the great range of Turing's contributions, on how the subjects have developed since his time, and how they might develop still further. The contributors include Martin Davis, J. M. E. Hyland, Andrew R. Booker, Ueli Maurer, Kanti V. Mardia, S. Barry Cooper, Stephen Wolfram, Christof Teuscher, Douglas Richard Hofstadter, Philip K. Maini, Thomas E. Woolley, Eamonn A. Gaffney, Ruth E. Baker, Richard Gordon, Stuart Kauffman, Scott Aaronson, Solomon Feferman, P. D. Welch and Roger Penrose. These specially commissioned essays will provoke and engross the reader who wishes to understand better the lasting significance of one of the twentieth century's deepest thinkers.

Nanocrystalline materials exhibit exceptional mechanical properties, representing an exciting new class of structural materials for technological applications. The advancement of this important field depends on the development of new fabrication methods, and an appreciation of the underlying nano-scale and interface effects. This authored book addresses these essential issues, presenting for the first time a fundamental, coherent and current account at the theoretical and practical level of nanocrystalline and nanocomposite bulk materials and coatings. The subject is approached systematically, covering processing methods, key structural and mechanical properties, and a wealth of applications. This is a valuable resource for graduate students studying nanomaterials science and nanotechnologies, as well as researchers and practitioners in materials science and engineering.

Governments and scientific establishments have been encouraging the development of professional and popular science communication. This book critically examines the origin of this drive to improve communication, and discusses why simply improving scientists' communication skills and understanding of their audiences may not be enough. Written in an engaging style, and avoiding specialist jargon, this book provides an insight into science's place in society by looking at science communication in three contexts: the professional patterns of communication among scientists, popular communication to the public, and science in literature and drama. This three-part framework shows how historical and cultural factors operate in today's complex communication landscape, and should be actively considered when designing and evaluating science communication. Ideal for students and practitioners in science, engineering and medicine, this book provides a better understanding of the culture, sociology

This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses. This unified approach can be appreciated by engineers, physicists, and applied mathematicians with some background in engineering mechanics. It has many examples and about 150 exercises for students to practise. The higher mathematics needed for a complete understanding is provided in the early chapters. This subject is essential for engineers involved in experimental or numerical modelling of material behaviour.

This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses. This unified approach can be appreciated by engineers, physicists, and applied mathematicians with some background in engineering mechanics. It has many examples and about 150 exercises for students to practise. The higher mathematics needed for a complete understanding is provided in the early chapters. This subject is essential for engineers involved in experimental or numerical modelling of material behaviour.

The definitive, fully illustrated guide to survival in Minecraft is now completely revamped with 100% new information for the latest version of the game. Learn how to survive and thrive in Minecraft's most popular mode! The mysterious world of Minecraft is just waiting to be explored. But danger lurks around every corner and survival can prove difficult for even the bravest adventurer. Learn how to find resources, craft equipment, and protect yourself. Discover which biomes to avoid when starting out, how to build a mob-proof shelter, where to look for naturally generated structures laden with loot, and so much more.

This new edition reflects the explosion of knowledge in basic science and clinical care for athletes with mild traumatic brain injury orconcussion. Interest in management and methodology for making di

For decades, traditional medicine had very little to offer for individuals suffering from multiple sclerosis and other autoimmune diseases. Today, medical science has brought us wave upon wave of immu

Increased demand for and developments in micromanufacturing have created a need for resource that covers both the science and technology of this rapidly growing area. With contributions from eminent p

In this comprehensive textbook appropriate not only for graduate-level students but for a broader audience of writers and researchers in fields such as criminal justice, history, and political science

Strong claims have been made for emergence as a new paradigm for understanding science, consciousness, and religion. Tracing the past history and current definitions of the concept, Clayton assesses t

ROBOTS + TERRORISTS = TROUBLE FOR TOM Tom's been training his entry, SwiftBot, for the upcoming Robot Olympics -- a major event being sponsored by the White House's Office of Science and Technology.

Student Study Guide to Accompany Physics, 5th edition:Written for the full year or three term Calculus-based University Physics course for science and engineering majors, the publication of the first

"An essential perspective for those seeking a serious introduction to early geological science and a fundamental point of departure for future research. . . . No other book has this scope and conceptu

Involvement with equine reproduction is very common for the veterinarian in practice, and there is enormous demand for continuing education, particularly in the light of recent changes in science and

STEM Education in the Primary School introduces pre-service teachers to the theory, skills and practice of teaching STEM through a project-based learning approach. Science, technology, engineering and mathematics are presented as professions, mindsets and practices, and each element of STEM is integrated with the Australian Curriculum through a school garden project case study. Popular STEM topic areas, such as health, shelter and space, are explored using tested and age-appropriate project examples that illustrate the translation of STEM ideas to classroom practice. This textbook connects current research in STEM education to teaching practice through detailed discussion of topics including assessment, learning spaces, community and STEM futures. Encouraging readers to consolidate their knowledge, the text is supported by short-answer and reflection questions, information boxes and real-world scenarios. Suggested activities and downloadable templates in the VitalSource enhanced eBook

Core Physics forms part of a three-volume resource supporting separate-science teaching for 11 to 14 year olds.

From his groundbreaking book Speech Acts to his most recent studies of consciousness, freedom and rationality John Searle has been a dominant and highly influential figure amongst contemporary philosophers. This systematic introduction to the full range of Searle's work begins with the theory of speech acts and proceeds with expositions of Searle's writings on intentionality, consciousness and perception, as well as a careful presentation of the so-called Chinese Room argument. The volume considers Searle's recent work on social ontology and his views on the nature of law and obligation. It concludes with an appraisal of Searle's spirited defence of truth and scientific method in the face of the criticisms of Derrida and other postmodernists. This is the only comprehensive introduction to Searle's work, and as such it will be of particular value to advanced undergraduates, graduates and professionals in philosophy, psychology, linguistics, cognitive and computer science and literary th

From his groundbreaking book Speech Acts to his most recent studies of consciousness, freedom and rationality John Searle has been a dominant and highly influential figure amongst contemporary philosophers. This systematic introduction to the full range of Searle's work begins with the theory of speech acts and proceeds with expositions of Searle's writings on intentionality, consciousness and perception, as well as a careful presentation of the so-called Chinese Room argument. The volume considers Searle's recent work on social ontology and his views on the nature of law and obligation. It concludes with an appraisal of Searle's spirited defence of truth and scientific method in the face of the criticisms of Derrida and other postmodernists. This is the only comprehensive introduction to Searle's work, and as such it will be of particular value to advanced undergraduates, graduates and professionals in philosophy, psychology, linguistics, cognitive and computer science and literary th

Design theory has grown to be a subject of considerable interest in mathematics, not only in itself, but for its connections to other fields such as geometry, group theory, graph theory and coding theory. This textbook, first published in 1985, is intended to be an accessible introduction to the subject for advanced undergraduate and beginning graduate students which should prepare them for research in design theory and its applications. The first four chapters of the book are designed to be the core of any course in the subject, while the remaining chapters can be utilized in more advanced or longer courses. The authors assume some knowledge of linear algebra for the first half of the book, but for the second half, students need further background in algebra.