This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.
A sparkling debut collection from one of the hottest writers in science fiction: her stories have received the Nebula Award the last two years running. These stories feature cats, bees, wolves, dogs, and even that most capricious of animals, humans, and have been reprinted in The Year's Best Fantasy & Horror, Best Science Fiction and Fantasy of the Year, and The Secret History of Fantasy. At the Mouth of the River of Bees 26 Monkeys, Also the Abyss The Horse Raiders Spar Fox Magic Names for Water Schrodinger’s Cathouse My Wife Reincarnated as a Solitaire Chenting, in the Land of the Dead The Bitey Cat The Empress Jingu Fishes Wolf Trapping The Man Who Bridged the Mist Ponies The Cat Who Walked a Thousand Miles The Evolution of Trickster Stories Among the Dogs of North Park After the Change Kij Johnson's stories have won the Sturgeon and World Fantasy awards. She has taught writing; worked at Tor, Dark Horse, and Microsoft; worked as a radio announcer; run bookstores; and waitressed in a strip bar.
A number of peripheral discussions have been eliminated, particular those for which there was substantial mathematics with little insight to show for it. * Chapter on measuring cost and benefit advantage have been eliminated. * Integrates insights from the theory of the firm, industrial organization, and strategy research. * Contains hundreds of examples to illustrate how the economic principles of strategy apply to the actual business world.
From the author of the Jack Ryan series comes an electrifying #1 New York Times bestseller—a standalone military thriller that envisions World War 3... A chillingly authentic vision of modern war, Red Storm Rising is as powerful as it is ambitious. Using the latest advancements in military technology, the world's superpowers battle on land, sea, and air for ultimate global control. It is a story you will never forget. Hard-hitting. Suspenseful. And frighteningly real. “Harrowing...tense...a chilling ring of truth.”—TIME
Families as They Really Are goes to the heart of the family values debate by reframing the question about families from "Are they breaking down?" to "Where are they going, how, and why?" Essays in the book are not reprints; you won't find them anywhere else. Each article is a new contribution to the research and theory about families, drawn from an interdisciplinary community of experts. The four parts of Families as They Really Are focus on how we got to where we are today, what's happening in relationships, youth in the 21st century, and the state of the gender revolution.
The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.
"The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.
How can classroom teachers effectively differentiate learning and teaching programs to provide for the needs of every student in their class? This best-selling text begins by asking "Why include all students?" in regular classrooms and then shows how this can be done. It outlines the philosophy of inclusive education and focuses on the use of individualised planning and effective teaching practices to maximise learning outcomes within positive and productive environments. Vignettes and narratives provide real-life examples that help put the theory in context. This fifth edition includes broader coverage of issues to do with diversity and individual differences, particularly cultural and multicultural inclusion, linguistic diversity and giftedness. There is more throughout on the universal design for learning framework and on partnerships with families, while new pedagogical features encourage readers to reflect. Throughout, it emphasises a practical, research-based approach to teaching that can be applied to support students with a range of differences and additional needs.