Introduction To The Geometry Of Complex Numbers

This book provides the first comprehensive treatment of Benford's law, the surprising logarithmic distribution of significant digits discovered in the late nineteenth century. Establishing the mathema

Professor Itô is one of the most distinguished probability theorists in the world, and in this modern, concise introduction to the subject he explains basic probabilistic concepts rigorously and yet gives at the same time an intuitive understanding of random phenomena. In the first chapter he considers finite situations, but from an advanced standpoint that enables the transition to greater generality to be achieved more easily. Chapter 2 deals with probability measures and includes a discussion of the fundamental concepts of probability theory. These concepts are formulated abstractly but without sacrificing intuition. The last chapter is devoted to infinite sums of independent real random variables. Each chapter is divided into sections that end with a set of problems with hints for solution. This textbook will be particularly valuable to students of mathematics taking courses in probability theory who need a modern introduction to the subject that yet does not allow overemphasis on

This textbook on continuum mechanics reflects the modern view that scientists and engineers should be trained to think and work in multidisciplinary environments. A course on continuum mechanics introduces the basic principles of mechanics and prepares students for advanced courses in traditional and emerging fields such as biomechanics and nanomechanics. This text introduces the main concepts of continuum mechanics simply with rich supporting examples but does not compromise mathematically in providing the invariant form as well as component form of the basic equations and their applications to problems in elasticity, fluid mechanics, and heat transfer. The book is ideal for advanced undergraduate and beginning graduate students. The book features: derivations of the basic equations of mechanics in invariant (vector and tensor) form and specializations of the governing equations to various coordinate systems; numerous illustrative examples; chapter-end summaries; and exercise problems

First published in 1988 this textbook on crystal chemistry covers the basic principles of crystal chemistry and physics and crystallography and introduces the concept of crystal refractivity. The book begins with a discussion of atoms and atomic structure and moves from there to atomic bonding. Throughout this discussion, special emphasis is given to Pauling's rules. The author then treats crystal symmetry, crystal field theory, polyhedral structure and atomic packing. He concludes by introducing the student to more sophisticated optical properties of minerals, refractivity and polarisability in crystals. The material covered is sufficiently basic so that the book will be suitable for undergraduate and graduate student in advanced mineralogy courses. It will also be of interest to individuals, including mineralogists, materials scientists, crystallographers and inorganic chemists who are engaged in academic and industrial research dealing with the structure of the solid state.

"In this advanced introduction, one of the world's leading private law scholars takes the reader on an intellectual journey through the different facets and dimensions of the field, from the family ho

Bringing together all of the major modern dance techniques from the last 80 years, this engaging account is the first of its kind. The informative discussion starts by mapping the historical developme

The book deals with quantum field theory which is the language of the modern physics of elementary particles. Written based on university lectures given by the author, the book provides treatments and

Since the publication of The Migrations of Fish by Prof. Alexander Meek in 1916, a number of books have been published on this subject. However, most of these books only cover one type of migratory me

The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these to

The second volume continues the course of study started in Volume 1, but may be used independently by those already possessing an elementary knowledge of the subject. A summary of basic group theory is followed by accounts of group homomorphisms, rings, fields and integral domains. The related concepts of an invariant subgroup and an ideal in a ring are brought in and the reader introduced to vector spaces and Boolean algebra. The theorems behind the abstract work and the reasons for their importance are discussed in greater detail than is usual at this level. The book is intended both for those who, educated in traditional mathematics, wish to know something about modern algebra and also for those already familiar with the elements of the subject who wish to study further. Fresh ideas and structures are introduced gradually and in a simpler manner, with concrete examples and much more informal discussion. There are many graded exercises, including some worked examples. This book is th

This book is an introductory textbook on the physical processes occurring in the Earth's radiation belts. The presentation is at the advanced undergraduate or first year graduate level, and it is appropriate for students who intend to work in some aspect of magnetospheric physics. The treatment is quantitative and provides the mathematical basis for original work in this subject. The equations describing the motion of energetic ions and electrons in the geomagnetic field are derived from basic principles, and concepts such as magnetic field representations, guiding centre motion, adiabatic invariance, and particle distribution functions are presented in a detailed and accessible manner. Relevant experimental techniques are reviewed and a summary is given of the intensity and energy spectra of the particle populations in the Earth's radiation belts. Problem sets are included as well as appendices of tables, graphs and frequently used formulas.

This book provides an introduction to the laws of the Middle East, defining the contours of a field of study that deserves to be called 'Middle Eastern law'. It introduces Middle Eastern law as a refl

F. H. Bradley was the greatest of the British Idealists, but for much of this century his views have been neglected, primarily as a result of the severe criticism to which they were subjected by Russe

This book challenges the usual introductions to the study of law. It argues that law is inherently political and reflects the interests of the few even while presenting itself as neutral. The clarity

This book challenges the usual introductions to the study of law. It argues that law is inherently political and reflects the interests of the few even while presenting itself as neutral. The clarity

Knowledge of the renormalization group and field theory is a key part of physics, and is essential in condensed matter and particle physics. Written for advanced undergraduate and beginning graduate students, this textbook provides a concise introduction to this subject. The textbook deals directly with the loop expansion of the free energy, also known as the background field method. This is a powerful method, especially when dealing with symmetries, and statistical mechanics. In focussing on free energy, the author avoids long developments on field theory techniques. The necessity of renormalization then follows.

Presenting a holistic perspective of the Hmong way of life, this book touches on every aspect of the Hmong culture, including overview of their history and traditions, relations between Hmong parents

The flow of granular materials such as sand, snow, coal, and catalyst particles is common occurrence in natural and industrial settings. The mechanics of these materials is not well understood. They are important since a large fraction of the materials handled and processed in the chemical, metallurgical, pharmaceutical, and food processing industries are granular in nature. This book describes the theories for granular flow based mainly on continuum models although alternative discrete models are also discussed briefly. The level is appropriate for advanced undergraduates or beginning graduate students. The goal is to inform the reader about observed phenomena, some available models, and their shortcomings and to visit some issues that remain unresolved. There is a selection of problems at the end of the chapters to encourage exploration, and extensive references are provided.

This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.

With growing interest in the safety of foods, knowledge of food toxicology is gaining more importance every day. Introduction to Toxicology and Food provides a concise overview of both the science of

High-energy astrophysics covers cosmic phenomena that occur under the most extreme physical conditions. It explores the most violent events in the Universe: the explosion of stars, matter falling into black holes, and gamma-ray bursts - the most luminous explosions since the Big Bang. Driven by a wealth of observations, there has been a large leap forward in our understanding of these phenomena. Exploring modern topics of high-energy astrophysics, such as supernovae, neutron stars, compact binary systems, gamma-ray bursts, and active galactic nuclei, this 2007 textbook is ideal for undergraduate students in high-energy astrophysics. It is a self-contained, relevant overview of this exciting field of research. Assuming a familiarity with basic physics, it introduces all other concepts, such as gas dynamics or radiation processes, in an instructive way. An extended appendix gives an overview of some of the most important high-energy astrophysics instruments, and each chapter ends with ex

High-energy astrophysics covers cosmic phenomena that occur under the most extreme physical conditions. It explores the most violent events in the Universe: the explosion of stars, matter falling into black holes, and gamma-ray bursts - the most luminous explosions since the Big Bang. Driven by a wealth of observations, there has been a large leap forward in our understanding of these phenomena. Exploring modern topics of high-energy astrophysics, such as supernovae, neutron stars, compact binary systems, gamma-ray bursts, and active galactic nuclei, this 2007 textbook is ideal for undergraduate students in high-energy astrophysics. It is a self-contained, relevant overview of this exciting field of research. Assuming a familiarity with basic physics, it introduces all other concepts, such as gas dynamics or radiation processes, in an instructive way. An extended appendix gives an overview of some of the most important high-energy astrophysics instruments, and each chapter ends with ex

The poetry written by the Japanese imperial court between A.D. 550 and 1350 is one of the great literatures of the world. The present volume, an introduction to that literature, is at once a condensat

"An Introduction to Beam Physics covers the principles and applications of differential algebra, a powerful new mathematical tool. The authors discuss the uses for the computation of transfer maps for

Are the dialects of England disappearing under the pressure of globalization and a preference for "Estuary English," a dialect widely spoken in the country's southeast region, or are the geographical

This module introduces the reader to the weatherization initiative and its underlying motivation by examining the economic and environmental effects of the inefficient use of energy in heating and coo

Introduction to Education provides pre-service teachers with an overview of the context, craft and practice of teaching in Australian schools as they commence the journey from learner to classroom teacher. Each chapter poses questions about the nature of teaching students, and guides readers though the Australian Professional Standards for Teachers. Incorporating recent research and theoretical literature, Introduction to Education presents a critical consideration of the professional, policy and curriculum contexts of teaching in Australia. The book covers theoretical topics in chapters addressing assessment, planning, safe learning environments, and working with colleagues, families, carers and communities. More practical chapters discuss professional experience and building a career after graduation. Rigorous in conception and practical in scope, Introduction to Education welcomes new educators to the theory and practical elements of teaching, learning, and professional practice.

This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the fo

This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the fo

The book gives an in-depth study of the principles of the spread spectrum techniques and their applications in mobile communications. It starts with solid foundations in the digital communications tha

This book is addressed to those who wish to understand the relationship between atmospheric phenomena and the nature of matter as expressed in the principles of physics. The interesting atmospheric ph

Information requisite to the successful practice of gas chromatography covers the principles of chromatographic separation, the chromatographic process from a physical chemical perspective, instrument

From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena has been a focus of recent research activity across several disciplines. This book provides an introduction to the range of mathematical theory and methods used to analyse and explain these often intricate and beautiful patterns. Bringing together several different approaches, from group theoretic methods to envelope equations and theory of patterns in large-aspect ratio-systems, the book also provides insight behind the selection of one pattern over another. Suitable as an upper-undergraduate textbook for mathematics students or as a fascinating, engaging, and fully illustrated resource for readers in physics and biology, Rebecca Hoyle's book, using a non-partisan approach, unifies a range of techniques used by active researchers in this growing field.

This book sketches the history of Roman Private Law from the Twelve Tables to modern times, and sets out the elements of the system. It does not attempt to summarize the whole law, but explains and e

Colour imaging technology has become almost ubiquitous in modern life in the form of monitors, liquid crystal screens, colour printers, scanners, and digital cameras. This book is a comprehensive guide to the scientific and engineering principles of colour imaging. It covers the physics of light and colour, how the eye and physical devices capture colour images, how colour is measured and calibrated, and how images are processed. It stresses physical principles and includes a wealth of real-world examples. The book will be of value to scientists and engineers in the colour imaging industry and, with homework problems, can also be used as a text for graduate courses on colour imaging.

Bender offers this nutritional biochemistry text, updated in the fifth edition to reflect the latest understanding of optimal nutrition. Chapter 1 discusses the basic role of food and water in the bod

An introductory text explaining the nature, relevancy, coherency, and structure of the moral law as revealed throughout the Bible, with discussion of the Ten Commandments as a moral rubric and a subse

Natural products chemistry—the chemistry of metabolite products of plants, animals and microorganisms—is involved in the investigation of biological phenomena ranging from drug mechanisms to gametophy

The book aims at the graduate student entering the field of graphene plasmonics. It is essentially self-contained and brings together a number of different topics about the field that are scattered in