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CD-ROM consists of four directories: parametric plots, fractals, etc; nonlinear differential equations; fuzzy logics; and graphics files.
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.
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.
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.