Introduction to Algorithms

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.

This textbook introduces basic elements of fundamental astronomy and astrophysics which serve as a foundation for understanding the structure, evolution, and observed properties of stars. The first half of the book explains how stellar motions, distances, luminosities, colours, radii, masses and temperatures are measured or derived. The author then shows how data of these sorts can be arranged to classify stars through their spectra. Stellar rotation and stellar magnetic fields are introduced. Stars with peculiar spectra and pulsating stars also merit special attention. The endpoints of stellar volutions are briefly described. There is a separate chapter on the Sun and a final one on interstellar absorption. The usefulness of this text is enhanced by the inclusion of problems for students, tables of astronomical constants, and a selective bibliography.

This outstanding book is a history of the forests of the world, a description of their present state, and an assessment of their prospects in the future. Written in a straightforward, readable style a

A complete basic undergraduate-level course in modern optics for students in physics, technology and engineering. The first half deals with classical physical optics; the second, the quantum nature o

Handsome text provides graduate students with an exceptionally accessible introduction to the ideas and methods of algebraic topology. The author writes with graceful lucidity, and gives careful atten

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

The second part of this two-volume set contains advanced aspects of the quantitative theory of the dynamics of neurons. It begins with an introduction to the effects of reversal potentials on response to synaptic input. It then develops the theory of action potential generation based on the seminal Hodgkin-Huxley equations and gives methods for their solution in the space-clamped and non-space-clamped cases. The remainder of the book discusses stochastic models of neural activity and ends with a statistical analysis of neuronal data with emphasis on spike trains. The mathematics is more complex in this volume than in the first volume and involves numerical methods of solution of partial differential equations and the statistical analysis of point processes.

From the Preface: "The material in this book is based on notes for a course which I gave several times at Brown University. The target of the course was juniors and seniors majoring in applied mathema

Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such di

This text presents the subject using a systems approach and is therefore a departure from the more commonly employed phyletic approach. Topics covered include classification, cellular and sub-cellular

To an algebraist the theory of group characters presents one of those fascinating situations, where the structure of an abstract system is elucidated by a unique set of numbers inherent in the system. But the subject also has a practical aspect, since group characters have gained importance in several branches of science, in which considerations of symmetry play a decisive part. This is an introductory text, suitable for final-year undergraduates or postgraduate students. The only prerequisites are a standard knowledge of linear algebra and a modest acquaintance with group theory. Especial care has been taken to explain how group characters are computed. The character tables of most of the familiar accessible groups are either constructed in the text or included amongst the exercise, all of which are supplied with solutions. The chapter on permutation groups contains a detailed account of the characters of the symmetric group based on the generating function of Frobenius and on the Sch

Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoot

Written to help the student chemist clarify the career areas and technical problems which are to be considered when chemical reactions are carried out on a large scale. Covers the research and develop

Comprehensive, classic introduction to space-flight engineering for advanced undergraduate and graduate students. Provides basic tools for quantitative analysis of the motions of satellites and other

Introduction to Organic Photochemistry John D. Coyle, The Open University, Milton Keynes The purpose of this book is to provide an introductory account of the major types of organic photochemical reac

Exceptionally clear exposition of an important mathematical discipline and its applications to sociology, economics, and psychology. Logical, easy-to-follow coverage of calculus of finite differences,

The theory of arithmetical functions has always been one of the more active parts of the theory of numbers. The large number of papers in the bibliography, most of which were written in the last forty

This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concret

This comprehensive, easy-to-read survey of how machines (computers) can be made to act intelligently explores problem-solving methods, representation and models, game playing, automated understanding

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.

This widely adopted undergraduate-level text applies quantum mechanics to a broad range of chemical and physical problems, covering such subjects as wave functions for the hydrogen atom, perturbation

This has proved to be an excellent introduction to what sociology is and what kinds of information and useful knowledge the practice of this discipline provides. In discussing family structure, the relation between the economy and society, social class, social control, and religion, the author uses appropriate examples of African experience. For this third edition, Dr Goldthorpe has thoroughly revised the text to take account of the changes affecting men and women in contemporary societies. Major revisions have been made to the chapter on the family, in the light of recent research on child care. The chapter on social class has been extensively revised to incorporate new material (including work by the author's namesake J. H. Goldthorpe) on social mobility and inequality in contemporary societies, and the debate on socialism has been updated. Changes have been made too in the passages on hunting and food-gathering societies, and on peasants, while there has been a general up dating of

The book covers such topics as ship geometry, properties of shipbuilding materials, stability, submarine hydrostatics, propellers and propulsion systems, and maneuverability. Appendices include conver

This book is intended to serve as a basic textbook on Schenkerian analysis, the analytical approach developed over a period of many years by the Austrian music theorist Heinrich Schenker (1868-1935).

This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students with some basic knowledge of analysis and topology.

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

Since its initiation some twenty years ago Longman Linguistics Library has established itself as a series aimed primarily at an undergraduate and postgraduate student readership. Some of its books ser

This 1981 introduction to the chemistry of a single element, phosphorus, covers many of the major themes of chemistry. Important in inorganic and organic chemistry and in biochemistry, phosphorus is also of considerable economic significance and plays a vital role in the biosphere. By presenting a detailed treatment of selected topics, this book provides a concise account of phosphorus chemistry suitable for anyone with an interest in the field. The book provides a survey of phosphorus compounds by structural and bond types, a review of physical methods in phosphorus chemistry, a review of basicity and co-ordination chemistry of phosphorus donors, a discussion of phosphorus in its group, and a chapter on reagents containing phosphorus in general chemistry. A critical bibliography introduces the reader to the advanced literature. S. I. Units are used throughout, but c.g.s units are also given when appropriate.

Originally published by Houghton Mifflin in 1972, this introductory text deals with human language and its relationship to other areas of human culture and behavior. Discussions include such diverse t

A widely used basic text by two recognized authorities. A unified and disciplined approach; advanced concepts reduced to easy-to-use charts, formulas and numerical examples.

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

Biographical and historical data and clear technical explanations are featured in a guide to the appreciation of twentieth-century music that includes a full discussion of trends since 1961, a diction

Quantum physics concerns the behavior of the smallest things we know. These smallest things are very small indeed. Although the world of the very small is remote from our senses, it shapes everyday e

Veteran guide Bruce Metzger provides a succinct, readable yet thorough introduction to those books included in the Roman Catholic canon but deemed heretical by Protestants.