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CD-ROM consists of four directories: parametric plots, fractals, etc; nonlinear differential equations; fuzzy logics; and graphics files.
In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a variety—and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups—as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by Voisin looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others.
The Power of the Pieces In his new, ground-breaking series, The Power of the Pieces, Belorussian grandmaster Sergey Kasparov examines the strengths, weaknesses and overall characteristics of each piece on the chessboard. This first volume in the series is about the bishop. Its role in the opening, middlegame and endgame is discussed in detail, amply supported by over 140 examples from tournament praxis. Topics include: Bishops of the Same Color; Opposite-Color Bishops; Bishop vs. Knight; Bishop vs. Rook; Two Bishops vs. Knight and Bishop; Bishop vs. Pawns; The King’s Indian Bishop; The French Bishop; The Nimzo-Indian Bishop; The Fianchetto on g2; The Stonewall Bishop; The Advantage of the Two Bishops; The “Bad” Bishop; The Attacking Bishop; and Opposite-color Bishops in the Middlegame. Popular chess author Sergey Kasparov is known for his entertaining writing style. His books are always instructive and insightful. Books previously published by Russell Enterprises include The Exchange Sacrifice and Doubled Pawns.
"The influential artist Hedi Kyle and renowned architecture graduate Ulla Warchol shows you how to create their unique designs using folding techniques. From creating flag books and fishbones, to blizzards and nesting boxes, you'll gain an invaluable insight into the work of two skilled artists with this fun read! With the help of their thorough instructions and simple illustrations, you'll be on your way to becoming a pro paper crafter in no time at all" – Sew magazine "A wonderful insight into the work of a truly skilled artist" – PaperCrafter The renowned and influential book artist Hedi Kyle shows you step–by–step how to create her unique designs using folding techniques in The Art of the Fold. Bookbinding and paper craft projects include flag books, blizzard books, the fishbone fold, and nesting boxes. Written by the doyenne of artists' books, Hedi Kyle, The Art of the Fold is a wonderful insight into the work of a truly skilled artist. Hedi will show you how to bind a book and fold paper to create over 35 of her cut–fold book designs. The book is beautifully illustrated with Hedi's finished works of art. An excerpt from the book: 'I can still remember the thrill I experienced when my first folded book structure emerged from my fingers – how eager I was to explore its possibilities and to share it with whoever was interested. The Flag Book, as I now call it, is a simple accordion and has interlocking pages oriented in opposite directions. Little did I know that this simple structure would have legs and be the catalyst for the next forty–plus years of thinking about and making books. The common perception of the book today is fairly straightforward: a series of pages organized around a spine and protected on either side by two covers. This format allows for easy access, storage and retrieval of information. Yet what happens when the book is stripped away of centuries of preconceptions and is allowed to reveal something else: playfulness, utility, invention? Expanding the notion of the book is what the structures in the following chapters of The Art of the Fold attempt to do. Exploring its tactile, sculptural form, primarily through folding methods, the book as a structural object is celebrated while content is considered in a new and unconventional way. My range in this medium has always been broad. In part this is due to my introduction to the world of bookbinding and some chance encounters. In the 1970s in New York City, the art and craft of hand bookbinding and papermaking were experiencing an unprecedented revival. I was fortunate to arrive in the city at just this moment. With an art–school background and an impulse to make things, I was naturally drawn to pursue this new opportunity. The Center for Book Arts, the famous forerunner of so many centers yet to come, was located in a small storefront just down the street from where I lived on the Lower East Side of Manhattan. Under the direction of founder Richard Minsky, it had a radical mission: to push concept, materials, printing and making of artist books in a new direction. When Richard dared me to teach at the Center one evening a week, I was hooked. My career as a book conservator and a book artist has now spanned over 45 years. As head conservator at the American Philosophical Society in Philadelphia, I've had the opportunity to handle some of the rarest volumes and manuscripts in the world. I have also dealt with decrepit books, torn maps and countless curiosities discovered in stacks and archives. All were endless sources for ideas and provided a springboard for a departure from tradition. Leading book–arts workshops around the world and a 25 year tenure teaching in the graduate program for Book Arts and Printmaking at the University of the Arts in Philadelphia have shown me, in retrospect, that the more I taught, t
Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; further developments in the theory of boundary problems; existence theorems, equations of first order; nonlinear equations of higher order; more. "Highly recommended" — Electronics Industries.
This book is intended as an undergraduate text introducing matrix methods as they relate to engineering problems. It begins with the fundamentals of mathematics of matrices and determinants. Matrix inversion is discussed, with an introduction of the well known reduction methods. Equation sets are viewed as vector transformations, and the conditions of their solvability are explored. Orthogonal matrices are introduced with examples showing application to many problems requiring three dimensional thinking. The angular velocity matrix is shown to emerge from the differentiation of the 3-D orthogonal matrix, leading to the discussion of particle and rigid body dynamics. The book continues with the eigenvalue problem and its application to multi-variable vibrations. Because the eigenvalue problem requires some operations with polynomials, a separate discussion of these is given in an appendix. The example of the vibrating string is given with a comparison of the matrix analysis to the continuous solution. Table of Contents: Matrix Fundamentals / Determinants / Matrix Inversion / Linear Simultaneous Equation Sets / Orthogonal Transforms / Matrix Eigenvalue Analysis / Matrix Analysis of Vibrating Systems
When this book was first published, David Olson was examining the developing representation and use of diagonals in the context of much larger questions, questions also explored by Vygotsky, Cassirer, Gombrich, and Bruner. These include such issues as conceptual development, conceptual change, and stage-like transitions in one's knowledge and belief. Some of these problems remain at virtually the same stage of solution to this day. Other problems have indeed been solved or at least come closer to solution, leading the author to think about the precise cognitive representations that allowed for the cognitive growth he examined in such scrupulous detail. The author hopes that both readers and re-readers of this volume will be led to wonder -- as he did while working on the book -- just what there is about a simple diagonal that makes its reproduction so difficult. In so doing, readers will again be reminded of the remarkable resources that children bring to bear on their understanding of the world as well as the blind spots that no simple telling can quite fill in.