Introduction To The Geometry Of Complex Numbers

By the time students have done some programming in one or two languages and have learnt the common ways of representing information in a computer, they will want to embark upon further study of theoretical or applied topics in computer science. Most will encounter problems that require for their solution one or more of the techniques described in this book: for example problems depending upon the formation and solution of different equations; the task of making lists of possible alternatives and of answering questions about them; or the search for discrete optima. Written by the same authors as the highly successful Information Representation and Manipulation in a Computer, this book describes algorithms of mathematical methods and illustrates their application with examples. The mathematical background needed is elementary algebra and calculus. Numerous exercises are provided, with hints to their solutions.

It is now 25 years since the first edition of this book was written, and the objectives of the fifth edition remain the same as those of the first edition, that is to provide "an introduction to and g

Biogeography is about the geographical distribution, both past and present, of plants, animals and other organisms. In this undergraduate textbook Spellerberg and Sawyer bring a modern and new approach to a developing subject, writing in a lively and sometimes provocative manner. Throughout the text the applications of biogeography in conservation management, economic production, environmental assessment, sustainable use of resources, landscape planning and public health are emphasised. Applications of island biogeography in conservation, the concept of wildlife corridors and the analysis of biogeographical data are all discussed and the role of humans and their cultures in biogeography is explored. The applied approach of this textbook, along with its numerous illustrative examples and figures, make it an interesting introduction to the field for all geography, biology and environmental science students.

Biogeography is about the geographical distribution, both past and present, of plants, animals and other organisms. In this undergraduate textbook Spellerberg and Sawyer bring a modern and new approach to a developing subject, writing in a lively and sometimes provocative manner. Throughout the text the applications of biogeography in conservation management, economic production, environmental assessment, sustainable use of resources, landscape planning and public health are emphasised. Applications of island biogeography in conservation, the concept of wildlife corridors and the analysis of biogeographical data are all discussed and the role of humans and their cultures in biogeography is explored. The applied approach of this textbook, along with its numerous illustrative examples and figures, make it an interesting introduction to the field for all geography, biology and environmental science students.

A Thorough Overview of the Tools and Techniques of Modern Power Electronics—Now Fully Updated Over the past decade, the field of power electronics has seen a surge of new trends and novel application

First published in 1973, Dr Clemmow's Introduction to Electromagnetic Theory provides a crisp and selective account of the subject. It concentrates on field theory (with the early development of Maxwell's equations) and omits extended descriptions of experimental phenomena and technical applications, though without losing sight of the practical nature of the subject. Rationalized mks units are used and an awareness of orders of magnitude is fostered. Fields in media are discussed from both the macroscopic and microscopic points of view. As befits a mainly theoretical treatment, a knowledge of vector algebra and vector calculus is assumed, the standard results required being summarized in an appendix. Other comparatively advanced mathematical techniques, such as tensors anf those involving Legendre or Bessel functions, are avoided. Problems for solution, some 180 in all, are given at the end of each chapter.

An Introduction to English Grammar provides a comprehensive overview of all aspects of English grammar. The first part of the book (‘The Grammar’) provides a step-by-step introduction to the key topic

An Introduction to English Grammar provides a comprehensive overview of all aspects of English grammar. The first part of the book (‘The Grammar’) provides a step-by-step introduction to the key topic

"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduat

"This book is aimed at non-science-major undergraduates and is tightly focused on the problem of anthropogenic climate change. The first half of the book focuses on the science of modern climate chang

"This book is aimed at non-science-major undergraduates and is tightly focused on the problem of anthropogenic climate change. The first half of the book focuses on the science of modern climate chang

"This book is aimed at non-science-major undergraduates and is tightly focused on the problem of anthropogenic climate change. The first half of the book focuses on the science of modern climate chang

"This book is aimed at non-science-major undergraduates and is tightly focused on the problem of anthropogenic climate change. The first half of the book focuses on the science of modern climate chang

At the heart of any modern communication system is the modem, connecting the data source to the communication channel. This first course in the mathematical theory of modem design introduces the theory of digital modulation and coding that underpins the design of digital telecommunications systems. A detailed treatment of core subjects is provided, including baseband and passband modulation and demodulation, equalization, and sequence estimation. The modulation waveforms for communication channels and digital recording channels are treated in a common setting and with unified terminology. A variety of more advanced topics is also covered, such as trellis codes, turbo codes, the Viterbi algorithm, block codes, maximum likelihood and maximum posterior probability, iterative demodulation, and jamming. Numerous end-of-chapter exercises are also included to test the reader's understanding throughout. This insightful book is ideal for senior undergraduate students studying digital communicat

First published in 1937, this book supplies a history of the living growth of the language from Old English to medieval times. It offers an in-depth study of the growth of vocabulary from literature a

The only book of its kind, Introduction to South Pacific Law provides an overview of law in the South Pacific. It sets out the framework of South Pacific legal systems and also describes the substanti

The fabric of the airline industry has continued to undergo remarkable changes since the 5th edition of this classic text was published in 1995. The industry has witnessed a series of mergers and a tr

This book provides a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. The book begins with a brief overview of observational and theoretical cosmology, along with a short introduction to general relativity. It then goes on to discuss Friedmann models, the Hubble constant and deceleration parameter, singularities, the early universe, inflation, quantum cosmology and the distant future of the universe. This edition contains a rigorous derivation of the Robertson–Walker metric. It also discusses the limits to the parameter space through various theoretical and observational constraints, and presents a new inflationary solution for a sixth degree potential. This book is suitable as a textbook for advanced undergraduates and beginning graduate students. It will also be of interest to cosmologists, astrophysicists, applied mathematicians and mathematical physicists.

This book provides a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. The book begins with a brief overview of observational and theoretical cosmology, along with a short introduction to general relativity. It then goes on to discuss Friedmann models, the Hubble constant and deceleration parameter, singularities, the early universe, inflation, quantum cosmology and the distant future of the universe. This edition contains a rigorous derivation of the Robertson–Walker metric. It also discusses the limits to the parameter space through various theoretical and observational constraints, and presents a new inflationary solution for a sixth degree potential. This book is suitable as a textbook for advanced undergraduates and beginning graduate students. It will also be of interest to cosmologists, astrophysicists, applied mathematicians and mathematical physicists.

Originally published during the early part of the twentieth century, the Cambridge Manuals of Science and Literature were designed to provide concise introductions to a broad range of topics. They were written by experts for the general reader and combined a comprehensive approach to knowledge with an emphasis on accessibility. An Introduction to Experimental Psychology by Charles S. Myers was first published in 1911 and reissued as this third edition in 1914. The volume discusses the typical research themes and methods of observation in experimental psychology at the time of publication.

This is the most up-to-date, brief and accessible introduction to Kant's ethics available. It approaches the moral theory via the political philosophy, thus allowing the reader to appreciate why Kant argued that the legal structure for any civil society must have a moral basis. This approach also explains why Kant thought that our basic moral norms should serve as laws of conduct for everyone. The volume includes a detailed commentary on Foundations of the Metaphysics of Morals, Kant's most widely studied work of moral philosophy. The book complements the author's much more comprehensive and systematic study Immanuel Kant's Moral Theory (Cambridge, 1989), a volume that has received the highest critical praise. With its briefer compass and non-technical style this new introduction should help to disseminate the key elements of one of the great modern philosophies to an even wider readership.

Graduate students in many branches of mathematics need to know something about topological groups and the Haar integral to enable them to understand applications in their own fields. In this introduction to the subject, Professor Higgins covers the basic theorems they are likely to need, assuming only some elementary group theory. The book is based on lecture courses given for the London M.Sc. degree in 1969 and 1972, and the treatment is more algebraic than usual, reflecting the interests of the author and his audience. The volume ends with an informal account of one important application of the Haar integral, to the representation theory of compact groups, and suggests further reading on this and similar topics.

Introduction to Computational Fluid Dynamics is a textbook for advanced undergraduate and first year graduate students in mechanical, aerospace and chemical engineering. The book emphasizes understanding CFD through physical principles and examples. The author follows a consistent philosophy of control volume formulation of the fundamental laws of fluid motion and energy transfer, and introduces a novel notion of 'smoothing pressure correction' for solution of flow equations on collocated grids within the framework of the well-known SIMPLE algorithm. The subject matter is developed by considering pure conduction/diffusion, convective transport in 2-dimensional boundary layers and in fully elliptic flow situations and phase-change problems in succession. The book includes chapters on discretization of equations for transport of mass, momentum and energy on Cartesian, structured curvilinear and unstructured meshes, solution of discretised equations, numerical grid generation and converge

This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.

Introduction to Computational Fluid Dynamics is a textbook for advanced undergraduate and first year graduate students in mechanical, aerospace and chemical engineering. The book emphasizes understanding CFD through physical principles and examples. The author follows a consistent philosophy of control volume formulation of the fundamental laws of fluid motion and energy transfer, and introduces a novel notion of 'smoothing pressure correction' for solution of flow equations on collocated grids within the framework of the well-known SIMPLE algorithm. The subject matter is developed by considering pure conduction/diffusion, convective transport in 2-dimensional boundary layers and in fully elliptic flow situations and phase-change problems in succession. The book includes chapters on discretization of equations for transport of mass, momentum and energy on Cartesian, structured curvilinear and unstructured meshes, solution of discretised equations, numerical grid generation and converge

Underpinning the axiomatic formulation of quantum theory presented in this undergraduate textbook is a review of early experiments, a comparison of classical and quantal terminology, a Schroedinger-equation treatment of the one-dimensional quantum box, and a survey of relevant mathematics. Among the many concepts comprehensively discussed are: operators; state vectors and wave functions; experimental observables; classical/quantal connections; and symmetry properties. The theory is applied to a wide variety of systems including the non-relativistic H-atom, external electromagnetic fields, and spin1/2. Collisions are described using wave packets. Various time-dependent and time-independent approximations are discussed; applications include electromagnetic transition rates and corrections to the H-atom energies. The final chapter deals with identical-particle symmetries and their application to the He atom, the Periodic Table and diatomic molecules. There are also brief treatments of adv

Underpinning the axiomatic formulation of quantum theory presented in this undergraduate textbook is a review of early experiments, a comparison of classical and quantal terminology, a Schroedinger-equation treatment of the one-dimensional quantum box, and a survey of relevant mathematics. Among the many concepts comprehensively discussed are: operators; state vectors and wave functions; experimental observables; classical/quantal connections; and symmetry properties. The theory is applied to a wide variety of systems including the non-relativistic H-atom, external electromagnetic fields, and spin1/2. Collisions are described using wave packets. Various time-dependent and time-independent approximations are discussed; applications include electromagnetic transition rates and corrections to the H-atom energies. The final chapter deals with identical-particle symmetries and their application to the He atom, the Periodic Table and diatomic molecules. There are also brief treatments of adv

Supersymmetry, strings and branes are believed to be the essential ingredients in a single unified consistent theory of physics. This book gives a detailed, step-by-step introduction to the theoretical foundations required for research in strings and branes. After a study of the different formulations of the bosonic and supersymmetric point particles, the classical and quantum bosonic and supersymmetric string theories are presented. This book includes accounts of brane dynamics and D-branes and the T, S and U duality symmetries of string theory. The historical derivation of string theory is given as well as the sum over the world-sheet approach to the interacting string. More advanced topics include string field theory and Kac–Moody symmetries. The book contains pedagogical accounts of conformal quantum field theory, supergravity theories, Clifford algebras and spinors, and Lie algebras. It is essential reading for graduate students and researchers wanting to learn strings and branes.

This textbook is intended for introductory courses in physics, engineering and chemistry at universities, polytechnics and technical colleges. It provides either an elementary treatment of thermal physics, complete in itself, for those who need to carry the subject no further, or a sound foundation for further study in more specialised courses. The author gives a clear and concise account of those basic concepts that provide the foundations for an understanding of the thermal properties of matter. The area covered corresponds very roughly to the traditional topics of heat, kinetic theory, and those properties of matter for which there are elementary explanations in terms of interatomic forces. The book is not concerned with experimental detail but with ideas and concepts, and their quantitative application through simple models. The author provides many problems for which the answers are included. The book should also be useful in teacher training and as a reference book in the librari

The mechanism of information transfer between cells is the subject of Introduction to Signal Transduction. Until recently various aspects of signaling by hormones were studied (and taught) under the

The key theme of this textbook is pharmaceuticals: what every student of pharmaceutical sciences should know: from the active pharmaceutical ingredients to the preparation of various dosage forms al

This student-friendly and well-balanced overview of the field of introductory linguistics pays special attention to linguistic anthropology and reveals the main contributions of linguistics to the stu

Why study music? How much practical use is it in the modern world? This introduction proves how studying music is of great value both in its own terms and also in the post-university careers marketplace. The book explains the basic concepts and issues involved in the academic study of music, draws attention to vital connections across the field and encourages critical thinking over a broad range of music-related issues. • Covers all main aspects of music studies, including topics such as composition, opera, popular music, and music theory • Provides a thorough overview of a hugely diverse subject, from the history of early music to careers in music technology, giving a head-start on the areas to be covered on a music degree • New to 'neume'? Need a reminder about 'ripping'? - glossaries give clear definitions of key musical terms • Chapters are carefully structured and organized enabling easy and quick location of the information needed

Why study music? How much practical use is it in the modern world? This introduction proves how studying music is of great value both in its own terms and also in the post-university careers marketplace. The book explains the basic concepts and issues involved in the academic study of music, draws attention to vital connections across the field and encourages critical thinking over a broad range of music-related issues. • Covers all main aspects of music studies, including topics such as composition, opera, popular music, and music theory • Provides a thorough overview of a hugely diverse subject, from the history of early music to careers in music technology, giving a head-start on the areas to be covered on a music degree • New to 'neume'? Need a reminder about 'ripping'? - glossaries give clear definitions of key musical terms • Chapters are carefully structured and organized enabling easy and quick location of the information needed

This two-volume course on abstract algebra provides a broad introduction to the subject for those with no previous knowledge of it but who are well grounded in ordinary algebraic techniques. It starts from the beginning, leading up to fresh ideas gradually and in a fairly elementary manner, and moving from discussion of particular (concrete) cases to abstract ideas and methods. It thus avoids the common practice of presenting the reader with a mass of ideas at the beginning, which he is only later able to relate to his previous mathematical experience. The work contains many concrete examples of algebraic structures. Each chapter contains a few worked examples for the student - these are divided into straightforward and more advanced categories. Answers are provided. From general sets, Volume 1 leads on to discuss special sets of the integers, other number sets, residues, polynomials and vectors. A chapter on mappings is followed by a detailed study of the fundamental laws of algebra,

This introduction to the archaeology of the Islamic world traces the history of the discipline from its earliest manifestations through to the present and evaluates the contribution made by archaeolog

This introduction to the archaeology of the Islamic world traces the history of the discipline from its earliest manifestations through to the present and evaluates the contribution made by archaeolog

First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.