This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

    Recent technological advances allow us to probe and manipulate these pinpoints of sound, dissolving the traditional building blocks of music--notes and their intervals--into a more fluid and supple medium. The sensations of point, pulse (series of points), line (tone), and surface (texture) emerge as particle density increases. Sounds coalesce, evaporate, and mutate into other sounds. Composers have used theories of microsound in computer music since the 1950s. Distinguished practitioners include Karlheinz Stockhausen and Iannis Xenakis. Today, with the increased interest in computer and electronic music, many young composers and software synthesis developers are exploring its advantages. Covering all aspects of composition with sound particles, Microsound offers composition theory, historical accounts, technical overviews, acoustical experiments, descriptions of musical works, and aesthetic reflections.

    The New Society in which Filipinos live today may be described as their emancipation from an old society whose hallmark was injustice, the supreme injustice in which equality of opportunity was withheld from them by an oligarchy that appropriated for itself all power and bounty. The New Society is in fact a revolution of the poor. By means of it, Filipinos today are attempting, through disciplined vision, to make the rewards of their labors and the fruits of their resources available to all. By means of it, they are walking out of a stupor filled with Walter Mitty fantasies, the opium of the oppressed and underprivileged. To share together in real life is the heart of democracy. Accordingly, the New Society is democratizing the wealth of the nation, striving to move democracy from cloud to hovel.(from its Preface)

    Each casebook reprints documents relating to a work's historical context and reception, presents the best critical studies, and, when possible, features an interview with the author. Accessible and informative to scholars, students, and nonspecialist readers alike, the books in this series provide a wide range of critical and informative commentaries on major texts. Gabriel Garcia Marquez's One Hundred Years of Solitude is arguably the most important novel in twentieth-century Latin American literature. This Casebook features ten critical articles on Garcia Marquez's great work. Carefully selected from the most important work on the novel over the past three decades, they include pieces by Carlos Fuentes, Iris Zavala, James Higgins, Jean Franco, Michael Wood, and Gene H. Bell-Villada. Among the intriguing aspects of the work discussed are its mythic dimension, its "magical" side, its representations of women, its relationship with past chronicles of exploration and discovery, its portrayals of Western power and imperialism, its astounding diffusion throughout the globe and the media, and its simple truth-telling, its fidelity to the tangled history of Latin America. The book incorporates several theoretical approaches--historical, feminist, postcolonial; the first English translation of Fuentes's renowned, oft-cited, eight page meditation on the work; a general introduction; and a 1982 interview with Garcia Marquez.

    Completely revised and updated, this new edition is the most accurate guide to national and international SW, MW, and FM broadcasting available. "The World Radio TV Handbook" is divided into a number of sections covering numerous topics, from National Radio - which looks at the world's domestic radio services, listed by country and including contact details, to International Radio - featuring full facts about all broadcasters transmitting internationally; and from Television Broadcasts - which details the world's main national broadcasters and large regional networks to frequency lists of all MW and international and domestic SW broadcasts. Also included in this revised edition is a reference section that contains listings of international and domestic transmitter sites, standard time and frequency transmissions, DX Club information, as well as other essential print and electronic resources.

    A remarkable pictorial discussion of the curved space-time we call home, it achieves even greater impact through the use of 141 excellent illustrations. This is the first sustained visual account of many important topics in relativity theory that up till now have only been treated separately.Finding a perfect analogy in the situation of the geometrical characters in Flatland, Professor Rucker continues the adventures of the two-dimensional world visited by a three-dimensional being to explain our three-dimensional world in terms of the fourth dimension. Following this adventure into the fourth dimension, the author discusses non-Euclidean geometry, curved space, time as a higher dimension, special relativity, time travel, and the shape of space-time. The mathematics is sound throughout, but the casual reader may skip those few sections that seem too purely mathematical and still follow the line of argument. Readable and interesting in itself, the annotated bibliography is a valuable guide to further study.Professor Rucker teaches mathematics at the State University of New York in Geneseo. Students and laymen will find his discussion to be unusually stimulating. Experienced mathematicians and physicists will find a great deal of original material here and many unexpected novelties. Annotated bibliography. 44 problems.

    W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

    Suitable for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory, this book aims to give students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences.

    ASIN: 0312295170

    He explores the new paradigm (replacing the centuries-old Newtonian view of the universe) that recognizes the collective and holistic properties of physical systems and the power of self-organization. He casts the laws in physics in the role of a "blueprint," embodying a grand cosmic scheme that progressively unfolds as the universe develops.Challenging the viewpoint that the physical universe is a meaningless collection particles, he finds overwhelming evidence for an underlying purpose: "Science may explain all the processes whereby the universe evolves its own destiny, but that still leaves room for there to be a meaning behind existence."

    The discussion of problem solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam Competition. It will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", "problem of the month", and "research problem of the year" to their students, thus bringing a creative atmosphere into their classrooms with continuous discussions of mathematical problems. This volume is a must-have for instructors wishing to enrich their teaching with some interesting non-routine problems and for individuals who are just interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. Very few problems have no solutions. Readers interested in increasing the effectiveness of the book can do so by working on the examples in addition to the problems thereby increasing the number of problems to over 1300. In addition to being a valuable resource of mathematical problems and solution strategies, this volume is the most complete training book on the market.

    Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.

    This brilliant account celebrates the incredible range of Greek achievement: the architectural marvels of the Athenian Acropolis; the birth of drama and the timeless tragedies of Aeschylus, Euripides, and Sophocles; Homer's epics; the philosophical revolutions of Plato and Aristotle; and the conquests of Alexander the Great. Lavishly illustrated with photographs and maps, The Greek Achievement paints a sweeping panorama of the ancient Greeks' world and provides a rich, contemporary overview of their enduring contribution to world civilization.

    As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.