Introduction To The Geometry Of Complex Numbers

This is an accessible introduction to the philosophy of social research which relates philosophical ideas to actual research practice. The book makes effective use of illustrations from the UK, US and

Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, series, the derivative, higher derivatives, the integral and more. Each chapter

This book provides a thorough introduction to the primary techniques used in the mathematical analysis of algorithms. The authors draw from classical mathematical material, including discrete mathemat

The book of Numbers tells a story that has two main characters -- God and Israel. The way the story is told sounds odd and often harsh to readers today. In spite of the difficulties imposed by Nu

Stimulating, thought-provoking text by one of the 20th century's most creative philosophers clearly and discerningly makes accessible such topics as probability, measurement and quantitative language,

A traditional approach to developing multivariate statistical theory is algebraic. Sets of observations are represented by matrices, linear combinations are formed from these matrices by multiplying t

Introduction to the General Principles of Aquaculture provides novice aquaculturists with an overview of the aquaculture industry so you may proceed successfully in academic studies or commercial vent

"Completely fascinating."TIMES EDUCATIONAL SUPLEMENTJourneying through time, THE STORY OF NUMBERS explores the history of mathematics to trace the rise of various number sysems in cultures from Mesopo

Finding viable solutions to many of the problems threatening our environment hinges on understanding the rocks below the earth's surface. For those evaluating the relative hazards of radioactive waste

This book is written for those coming to philosophy for the first time. It explains the nature of philosophical inquiry and discusses traditional philosophical questions about the existence of God, mi

"It makes alive the contents of the elements of mathematics."--Albert EinsteinTaking only the most elementary knowledge for granted, Lancelot Hogben leads readers of this famous book through the whol

Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 196

Numbers are an important feature of almost all known cultures. In this detailed anthropological study, Thomas Crump examines how people from a wide range of diverse cultures, and from different historical backgrounds, use and understand numbers. By looking at the logical, psychological and linguistic implications, he analyses how numbers operate within different contexts. The author goes on to consider the relationship of numbers to specific themes, such as ethnoscience, politics, measurement, time, money, music, games and architecture. The Anthropology of Numbers is an original contribution to scholarship, written in a clear and accessible style. It will be of interest to anthropologists who study cognition, symbolism, primitive thought and classification, and to those in adjacent disciplines of psychology, cognitive science and mathematical social science.

This thoroughly updated edition continues to provide a concise overall coverage of colloid and surface chemistry, intermediate between the brief accounts in physical chemistry textbooks and the compre

Although one of the earliest of biological disciplines, plant taxonomy remains an important and relevant aspect of modern botany. A disproportionate emphasis on the practice of plant taxonomy has to some extent caused the science to be seen solely as the activity of plant identification. This book attempts to redress the balance by providing an introduction to the taxonomic theory upon which the identification procedure is based. The second edition has been completely revised and updated by the author and edited by Norman Robson to reflect the rapid advances which have occurred in plant taxonomy since publication of the first edition.

This book is a comprehensive introduction to the neural network models currently under intensive study for computational applications. It is a detailed, logically-developed treatment that covers the t

Originally published in 1934 in the Cambridge Tracts, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. The major part of the book is devoted to the analytical theory founded on the zeta-function of Riemann. Despite being out of print for a long time, this Tract still remains unsurpassed as an introduction to the field, combining an economy of detail with a clarity of exposition which eases the novice into this area.

These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah here presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area.

This book introduces the methodological and philosophical problems with which modern history of science is concerned, offering a comprehensive and critical review through description and evaluation of

This classic best-seller by a well-known author introduces mathematics history to math and math education majors. Suggested essay topics and problem studies challenge students. CULTURAL CONNECTIONS se

The purpose of this book is to provide an introduction to the theory of jet bundles for mathematicians and physicists who wish to study differential equations, particularly those associated with the calculus of variations, in a modern geometric way. One of the themes of the book is that first-order jets may be considered as the natural generalisation of vector fields for studying variational problems in field theory, and so many of the constructions are introduced in the context of first- or second-order jets, before being described in their full generality. The book includes a proof of the local exactness of the variational bicomplex. A knowledge of differential geometry is assumed by the author, although introductory chapters include the necessary background of fibred manifolds, and on vector and affine bundles. Coordinate-free techniques are used throughout, although coordinate representations are often used in proofs and when considering applications.

In this highly regarded text for advanced undergraduate and graduate students, the author develops the calculus of variations both for its intrinsic interest and for its powerful applications to moder

This book follows the same successful approach as Dr Burn's previous book on number theory. It consists of a carefully constructed sequence of questions which will enable the reader, through his or her own participation, to generate all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationship to three-dimensional isometries are covered, and the climax of the book is a study of crystallographic groups, with a complete analysis of these groups in two dimensions.

This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic knowledge of real analysis and linear algebra, the student is exposed to the axiomatic method in analysis and is shown its power in exploiting the structure of fundamental analysis, which underlies a variety of applications. An example is the link between normed linear spaces and linear algebra; finite dimensional spaces are discussed early. The treatment progresses from the concrete to the abstract: thus metric spaces are studied in some detail before general topology is begun, though topological properties of metric spaces are explored in the book. Graded exercises are provided at the end of each section; in each set the earlier exercises are designed to assist in the detection of the structural properties in concrete examples while the later ones are more conceptually sophisticated.

Without direct awareness of Space and Time, human beings lack two "senses" necessary for the knowledge of all causes. Starting from the irreducible one, Schwaller deals with the unfolding of creation

This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust like' sets are exhibited. The theory is related by duality to Kayeka sets (sets of zero area containing lines in every direction). The final chapter includes diverse examples of sets to which the general theory is applicable: discussions of curves of fractional dimension, self-similar sets, strange attractors, and examples from number theory, convexity and so on. There is an emphasis on the basic tools of the subject such as the Vitali covering lemma, net measures and Fourier transform methods.

The principal concern of the law of torts is to repair accident losses. but its role has altered over the years as a result of such factors as the wider use of private and liability insurance. This c

This radical revision of Professor Bullen's acclaimed and widely used text provides an introduction to modern seismological theory, with emphasis on both the physical models and the mathematical descriptions of earthquakes and their sources. The essential core of the earlier editions has been retained, particularly the tensor treatment of elasticity, seismic wave travel-time analysis and density in the Earth, although these parts of the text have been brought up to date and expanded. The new part of the book reflects on how the study of earthquakes, seismic waves and seismic risk has been broadened in the past two decades. Thus, this edition includes introductory theory of earthquake sources, seismic wave travel through complex geological zones and viscous and anisotropic media, vibrations of the whole Earth, strong-motion seismology and earthquake prediction and risk. There is an emphasis on statistical and numerical procedures and problems of resolution in inverse theory. Modern clas

This is a very successful textbook for undergraduate students of pure mathematics. Students often find the subject of complex analysis very difficult. Here the authors, who are experienced and well-known expositors, avoid many of such difficulties by using two principles: (1) generalising concepts familiar from real analysis; (2) adopting an approach which exhibits and makes use of the rich geometrical structure of the subject. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation.

This book can be described as a student's edition of the author's Dynamical Theory of Gases.

This book is a literary-historical study of the Mishneh Torah, Maimonides' great Code of Jewish law, organized around five characteristics repeatedly emphasized by Maimonides himself: codificatory for

This graduate-level text offers a concise but wide-ranging introduction to methods of approximating continuous functions by functions depending only on a finite number of parameters. It places particu

The differential equations which model the action of selection and recombination are nonlinear equations which are impossible to It is even difficult to describe in general the solve explicitly. Recen

Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own me

This classic study probes the geometric interrelationships between art and life in discussions that range from Plato, Pythagoras, and Archimedes to modern architecture and art. Other topics include&n

Contains an overall account of morality in its philosophical format particularly with regard to problems of observation, evidence, and truth.

Comprehensive coverage of the special theory (frames of reference, Lorentz transformation, relativistic mechanics of mass points, more), the general theory (principle of equivalence, Riemann-Christof

The third edition of this successful book, which applies the science of psychology to problems of religion. Dr Thouless explores such questions as: why do people believe? Why are their beliefs often held with irrational strength? How are changes in belief systems related to mental health? What are reasonable attitudes towards alternative belief systems? This edition includes samples of the experimental and statistical studies of religious problems, including the author's own study of the strength of religious beliefs. This edition also pays more attention to the problems of non-Christian religious systems, with special consideration given to the problems of mutual toleration. Finally Dr Thouless considers whether it is reasonable for modern man to adhere to any religious belief system. This is an excellent textbook for students of the social sciences, particularly psychology and theology, and will also interest the general reader who has an intellectual curiosity about religion.

Rigorous examination of relationship between loss of energy, mass, and radius of stars in a steady state. Unabridged, corrected republication of original (1939) edition. "The material is throughout pr