Introduction To The Geometry Of Complex Numbers

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

This textbook describes the composition and evolution of material objects in the universe. The survey begins with a discussion of terrestrial materials and ends with the composition of quasars and distant galaxies. There are two main themes: chemical processes responsible for the abundances we observe, and nuclear processes in which the chemical elements originate. The author presents a total pedagogic synthesis of the subject, building on the basic information in the first chapters leading into a fuller explanation of the composition of the planets and stellar and primordial nucleosynthesis. The later chapters treat the analytical methods of stellar and nebular spectra, and move on to the composition of stars and galaxies. The book is fully referenced and includes problem sets.

Shamans are an integral part of communal religious traditions, professionals who make use of personal supernatural experiences, especially trance, as a resource for the wider community's physical and spiritual well-being. This Introduction surveys research on the topic of shamanism around the world, detailing the archaeology and earliest development of shamanic traditions as well as their scientific 'discovery' in the context of eighteenth and nineteenth century colonization in Siberia, the Americas, and Asia. It explores the beliefs and rituals typical of shamanic traditions, as well as the roles of shamans within their communities. It also surveys the variety of techniques used by shamans cross-culturally, including music, entheogens, material culture and verbal performance. The final chapters examine attempts to suppress or eradicate shamanic traditions, the revitalization of shamanism in postcolonial situations, and the development of new forms of shamanism within new cultural and

Shamans are an integral part of communal religious traditions, professionals who make use of personal supernatural experiences, especially trance, as a resource for the wider community's physical and spiritual well-being. This Introduction surveys research on the topic of shamanism around the world, detailing the archaeology and earliest development of shamanic traditions as well as their scientific 'discovery' in the context of eighteenth and nineteenth century colonization in Siberia, the Americas, and Asia. It explores the beliefs and rituals typical of shamanic traditions, as well as the roles of shamans within their communities. It also surveys the variety of techniques used by shamans cross-culturally, including music, entheogens, material culture and verbal performance. The final chapters examine attempts to suppress or eradicate shamanic traditions, the revitalization of shamanism in postcolonial situations, and the development of new forms of shamanism within new cultural and

Since the attacks of 9/11, the United States Intelligence Community (IC) has undergone an extensive overhaul. Perhaps the greatest of these changes has been the formation of the Office of the Director

The study of stellar dynamics is experiencing an exciting new wave of interest thanks to observational campaigns and the ready availability of powerful computers. Whilst its relevance includes many areas of astrophysics, from the structure of the Milky Way to dark matter halos, few texts are suited to advanced students. This volume provides a broad overview of the key concepts beyond the elementary level, bridging the gap between the standard texts and specialist literature. The author reviews Newtonian gravity in depth before examining the dynamical properties of collisional and collisionless stellar-dynamical systems that result from gravitational interactions. Guided examples and exercises ensure a thorough grounding in the mathematics, while discussions of important practical applications give a complete picture of the subject. Readers are given a sound working knowledge of the fundamental ideas and techniques employed in the field and the conceptual background needed to progress t

In this book contemporary Judaism is presented in all its rich diversity, including both traditional and modern theologies as well as secular forms of Jewish identity. While the focus of the book is on developments that have taken place in the past two hundred years, they are set against a historical background, going back to the Bible. Beginning with a description of the Jewish people as it exists in today's world, it studies the unique concept of Jewish peoplehood and its survival over the centuries in the face of many challenges. An account of the key texts is followed by studies of the different interpretations of the religion, and the ways that life is lived out both in the home and in the community. Jewish theology is described both historically and in terms of contemporary issues. An important and distinctive section considers the goals of Jewish life and faith.

In this book contemporary Judaism is presented in all its rich diversity, including both traditional and modern theologies as well as secular forms of Jewish identity. While the focus of the book is on developments that have taken place in the past two hundred years, they are set against a historical background, going back to the Bible. Beginning with a description of the Jewish people as it exists in today's world, it studies the unique concept of Jewish peoplehood and its survival over the centuries in the face of many challenges. An account of the key texts is followed by studies of the different interpretations of the religion, and the ways that life is lived out both in the home and in the community. Jewish theology is described both historically and in terms of contemporary issues. An important and distinctive section considers the goals of Jewish life and faith.

This is a comprehensive introduction to Quakerism which balances a history of the theology of the Quakers or Friends with an overview of present day practice. It charts the growth of the Quaker movement through the 1650s and 1660s, its different theological emphasis in the eighteenth century, and the schisms of the nineteenth century which resulted in the range of Quaker traditions found around the world today. The book focuses in particular on notions of 'endtime', 'spiritual intimacy', and what counts as 'the world' as key areas of theological change. The second half of the book uses extracts from Quaker texts to highlight differences in belief and approach between the different traditions and analyses their future prospects. The book is generously illustrated and includes numerous diagrams to help the reader. Undergraduate and graduate students will find this an essential introduction to the Quaker movement.

This is a comprehensive introduction to Quakerism which balances a history of the theology of the Quakers or Friends with an overview of present day practice. It charts the growth of the Quaker movement through the 1650s and 1660s, its different theological emphasis in the eighteenth century, and the schisms of the nineteenth century which resulted in the range of Quaker traditions found around the world today. The book focuses in particular on notions of 'endtime', 'spiritual intimacy', and what counts as 'the world' as key areas of theological change. The second half of the book uses extracts from Quaker texts to highlight differences in belief and approach between the different traditions and analyses their future prospects. The book is generously illustrated and includes numerous diagrams to help the reader. Undergraduate and graduate students will find this an essential introduction to the Quaker movement.

Introduction to Christian Worship, 3rd Edition traces the development of the major forms of Christian worship, and includes discussion of the newest service books of the principal churches of North Am

Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical l

Completely updated, this second edition gives a broad review of astronomical photometry to provide an understanding of astrophysics from a data-based perspective. It explains the underlying principles of the instruments used, and the applications and inferences derived from measurements. Each chapter has been fully revised to account for the latest developments, including the use of CCDs. Highly illustrated, this book provides an overview and historical background of the subject before reviewing the main themes within astronomical photometry. The central chapters focus on the practical design of the instruments and methodology used. The book concludes by discussing specialised topics in stellar astronomy, concentrating on the information derived from the analysis of the light curves of variable stars and close binary systems. It includes numerous bibliographic notes and a glossary of terms. It is ideal for graduate students, academic researchers and advanced amateurs interested in prac

This book provides a much-needed thematic and historical introduction to Hinduism, the religion of the majority of people in India. Dr Flood traces the development of Hindu traditions from their ancient origins, through the major deities of Visnu, Siva and the Goddess, to the modern world. Hinduism is discussed as both a global religion and a form of nationalism. Emphasis is given to the tantric traditions, which have been so influential; to Hindu ritual, which is more fundamental to the life of the religion than are specific beliefs or doctrines; and to Dravidian influences from south India. An Introduction to Hinduism examines the ideas of dharma, particularly in relation to the ideology of kingship, caste and world renunciation. Dr Flood also introduces some debates within contemporary scholarship about the nature of Hinduism. It is suitable both for the student and for the general reader.

The human brain contains billions of nerve cells whose activity plays a critical role in the way we behave, feel, perceive, and think. This two-volume set explains the basic properties of a neuron - an electrically active nerve cell - and develops mathematical theories for the way neurons respond to the various stimuli they receive. Volume 1 contains descriptions and analyses of the principal mathematical models that have been developed for neurons in the past thirty years. It provides a brief review of the basic neuroanatomical and neurophysiological facts that will form the focus of the mathematical treatment. Tuckwell discusses the mathematical theories, beginning with the theory of membrane potentials. He then goes on to treat the Lapicque model, linear cable theory, and time-dependent solutions of the cable equations. He concludes with a description of Rall's model nerve cell. Because the level of mathematics increases steadily upward from Chapter Two, some familiarity with differ

This wide-ranging account of the history and theology of one of the world's most dynamic religions tells the story of Islamic beliefs and practices as they developed from the earliest times down to the present day. For this revised and updated second edition, David Waines has added a long section tackling head-on the issues arising from Islam's place in the changing world order at the turn of the new millennium. The wars in Bosnia, Afghanistan and Israel, and the terrorist attacks on New York and Washington, have raised global awareness of Islam at a superficial level - but little has been written which considers Islamic political and military extremism in relation to mainstream Muslim history and theology. Coming at the end of a book which has explored the ideas and traditions of Islam in depth, this new section offers thought-provoking reflections on the place of religion in the current conflicts.

The human brain contains billions of nerve cells whose activity plays a critical role in the way we behave, feel, perceive, and think. This two-volume set explains the basic properties of a neuron - an electrically active nerve cell - and develops mathematical theories for the way neurons respond to the various stimuli they receive. Volume 1 contains descriptions and analyses of the principal mathematical models that have been developed for neurons in the past thirty years. It provides a brief review of the basic neuroanatomical and neurophysiological facts that will form the focus of the mathematical treatment. Tuckwell discusses the mathematical theories, beginning with the theory of membrane potentials. He then goes on to treat the Lapicque model, linear cable theory, and time-dependent solutions of the cable equations. He concludes with a description of Rall's model nerve cell. Because the level of mathematics increases steadily upward from Chapter Two, some familiarity with differ

Embedded in an historical account of the development of U.S. capitalism up to the present day, this book gives the reader a thorough description of the major aspects of the U.S. economy, as well as a

Embedded in an historical account of the development of U.S. capitalism up to the present day, this book gives the reader a thorough description of the major aspects of the U.S. economy, as well as a

This volume presents a chronological survey of the art of the Aegean, with b&w and some color photos of the works of art and buildings discussed. The material is accessible to the undergraduates b

It is one of the first books to provide a complete and authoritative overview of the current state of the field. Each of the 15 chapters offers an extended survey of a central element in applied lingu

The Church of Jesus Christ of Latter-day Saints is one of the fastest growing religious movements in the world. It is highly visible, with a massive missionary program, yet it remains a mystery in terms of its core beliefs and theological structure. This 2003 book provides an introduction to the basic history, doctrines and practices of The LDS - the 'Mormon' Church. Written by a non-Mormon it neither seeks to prove or disprove the truthfulness of the religious claims of that faith but rather to describe them in ways that non-Mormons can understand. Particular emphasis is given to sacred texts and prophecies as well as to the crucial Temple rituals of endowments, marriage and baptism for the dead, through which human beings may achieve their divine potential. This rich comparative study offers an understanding of Mormon theology and ideas of humanity.

The Church of Jesus Christ of Latter-day Saints is one of the fastest growing religious movements in the world. It is highly visible, with a massive missionary program, yet it remains a mystery in terms of its core beliefs and theological structure. This 2003 book provides an introduction to the basic history, doctrines and practices of The LDS - the 'Mormon' Church. Written by a non-Mormon it neither seeks to prove or disprove the truthfulness of the religious claims of that faith but rather to describe them in ways that non-Mormons can understand. Particular emphasis is given to sacred texts and prophecies as well as to the crucial Temple rituals of endowments, marriage and baptism for the dead, through which human beings may achieve their divine potential. This rich comparative study offers an understanding of Mormon theology and ideas of humanity.

This book provides a systematic review of many advanced techniques to support the analysis of large collections of documents, ranging from the elementary to the profound, covering all the aspects of

Ninety-nine percent of ordinary matter in the Universe is in the form of ionized fluids, or plasmas. The study of the magnetic properties of such electrically conducting fluids, magnetohydrodynamics (MHD), has become a central theory in astrophysics, as well as in areas such as engineering and geophysics. This textbook offers a comprehensive introduction to MHD and its recent applications, in nature and in laboratory plasmas; from the machinery of the Sun and galaxies, to the cooling of nuclear reactors and the geodynamo. It exposes advanced undergraduate and graduate students to both classical and modern concepts, making them aware of current research and the ever-widening scope of MHD. Rigorous derivations within the text, supplemented by over 100 illustrations and followed by exercises and worked solutions at the end of each chapter, provide an engaging and practical introduction to the subject and an accessible route into this wide-ranging field.

This second edition of the introduction to the field of organ transplantation provides an excellent overview of the tremendous progress made in recent decades, and gives a clear description of the cur

This book presents Bayes' theorem, the estimation of unknown parameters, the determination of confidence regions and the derivation of tests of hypotheses for the unknown parameters. It does so in a s

Learn about the discipline of emergency management as it has developed over the past six decades, including the rapid evolution of the field since the turn of the century. Haddow, Bullock, and Coppola

This book is geared primarily to students approaching the Aeneid for the first time. It attempts, through discussion of a wide variety of topics, to convey a balanced impression of the nature of the

A Thorough Overview of the Next Generation in ComputingPoised to follow in the footsteps of the Internet, grid computing is on the verge of becoming more robust and accessible to the public in the nea

An Introduction to America's Music tells the fascinating story of music in the United States, from the sacred music of its earliest days to the jazz and rock that enliven the turn of the millennium.

Directed primarily at college and university undergraduates, this book covers at basic level the essential applications of mathematics to the physical sciences. It contains all the usual topics covered in a first-year course such as vectors, matrices, differential equations, basic mathematical functions and their analysis, and power series. There is a strong emphasis on qualitative understanding (such as curve sketching) and practical methods of solution. The latter take due account of the impact of computers on the subject. The principles of mathematical expression are illustrated by copious examples taken from a wide range of topics in physics and chemistry. Each of the short chapters concludes with a summary and a large number of problems.

Property testing is concerned with the design of super-fast algorithms for the structural analysis of large quantities of data. The aim is to unveil global features of the data, such as determining whether the data has a particular property or estimating global parameters. Remarkably, it is possible for decisions to be made by accessing only a small portion of the data. Property testing focuses on properties and parameters that go beyond simple statistics. This book provides an extensive and authoritative introduction to property testing. It provides a wide range of algorithmic techniques for the design and analysis of tests for algebraic properties, properties of Boolean functions, graph properties, and properties of distributions.

This work challenges all the standard approaches to the saga of African history, from the dawn of prehistory to the modern resurgent Africa of today.

This comprehensive textbook conveys the basic physical ideas and laws used in the study of the outer layers of a star. The stellar atmosphere emits the light which we see. The only layers of a star where we can get direct information about temperature, pressure and composition are in the atmosphere. This complete account first introduces stellar magnitudes, spectra and temperatures. This is followed by a full discussion of radiative transfer in a stellar atmosphere, which leads to descriptions of line formation, the spectrum of hydrogen, and spectral analysis. Finally the structural components that are accessible, such as the convestion zone, chromosphere, corona, and mass outflow are described. The book will interest any student with a knowledge of physics and mathematics who needs to learn about stellar atmospheres.

Since the financial crisis of 2007 to 2009 the role of the company in society, especially the role of publicly traded companies, has acquired a political salience that was largely absent in the decade

A comprehensive introduction to the sources, methods, and theories most often used by historians of the western middle ages, this book explores the origins of the idea of the ‘middle ages' and its dev

Since the early days of nonlinear optics in the 1960s, the field has expanded dramatically, and is now a vast and vibrant field with countless technological applications. Providing a gentle introduction to the principles of the subject, this textbook is ideal for graduate students starting their research in this exciting area. After basic ideas have been outlined, the book offers a thorough analysis of second harmonic generation and related second-order processes, before moving on to third-order effects, the nonlinear optics of short optical pulses and coherent effects such as electromagnetically-induced transparency. A simplified treatment of high harmonic generation is presented at the end. More advanced topics, such as the linear and nonlinear optics of crystals, the tensor nature of the nonlinear coefficients and their quantum mechanical representation, are confined to specialist chapters so that readers can focus on basic principles before tackling these more difficult aspects of

This book examines the central questions of ethics through a study of theories of right and wrong that are found in the great ethical works of Western philosophy. It focuses on theories that continue to have a significant presence in the field. The core chapters cover egoism, the eudaimonism of Plato and Aristotle, act and rule utilitarianism, modern natural law theory, Kant's moral theory, and existentialist ethics. Readers will be introduced not only to the main ideas of each theory but to contemporary developments and defenses of those ideas. A final chapter takes up topics in meta-ethics and moral psychology. The discussions throughout draw the reader into philosophical inquiry through argument and criticism that illuminate the profundity of the questions under examination. Students will find this book to be a very helpful guide to how philosophical inquiry is undertaken as well as to what the major theories in ethics hold.

As well as providing a clear and critical introduction to the theory, this refreshing overview focuses on the practice of feminism with coverage of actions and activism, bringing the subject to life for newcomers as well as offering fresh perspectives for advanced students. Explanations of the main strands to feminism, such as liberalism, sit alongside an exploration of a range of approaches, such as radical, anarchist and Marxist feminism, and provide much-needed context against which more familiar historical themes may be understood. The author's broad and inclusive view conveys the diversity and disagreement within feminism with accessible clarity. The analysis of key terms equips readers with a critical understanding of the vocabulary of feminist debates that will be invaluable to undergraduate students.