Книги. Художественная литература. Учебники и пособия.

Ella Hawley

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Tran Duc Van

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High Quality Content by WIKIPEDIA articles! In functional analysis (a branch of mathematics), a reproducing kernel Hilbert space is a Hilbert space of functions in which pointwise evaluation is a continuous linear functional. Equivalently, they are spaces that can be defined by reproducing kernels. The subject was originally and simultaneously developed by Nachman Aronszajn (1907?1980) and Stefan Bergman (1895?1977) in 1950. In this article we assume that Hilbert spaces are complex. The main reason for this is that many of the examples of reproducing kernel Hilbert spaces are spaces of analytic functions, although some real Hilbert spaces also have reproducing kernels.

Giuseppe Della Sala

The book deals with some questions related to the boundary problem in complex geometry and CR geometry. After a brief introduction summarizing the main results on the extension of CR functions, it is shown in chapters 2 and 3 that, employing the classical Harvey-Lawson theorem and under suitable conditions, the boundary problem for non-compact maximally complex real submanifolds of Cn, n=3 is solvable. In chapter 4, the regularity of Levi flat hypersurfaces Cn (n=3) with assigned boundaries is studied in the graph case, in relation to the existence theorem proved by Dolbeault, Tomassini and Zaitsev. Finally, in the last two chapters the structure properties of non-compact Levi-flat submanifolds of Cn are discussed; in particular, using the theory of the analytic multifunctions, a Liouville theorem for Levi flat submanifolds of Cn is proved.

High Quality Content by WIKIPEDIA articles! A spheroid is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal semi-diameters.If the ellipse is rotated about its major axis, the result is a prolate (elongated) spheroid, like a rugby ball. If the ellipse is rotated about its minor axis, the result is an oblate (flattened) spheroid, like a lentil. If the generating ellipse is a circle, the result is a sphere.

In mathematics and computer science, graph theory is the study of graphs : mathematical structures used to model pairwise relations between objects from a certain collection. A "graph" in this context refers to a collection of vertices or 'nodes' and a collection of edges that connect pairs of vertices. A graph may be undirected , meaning that there is no distinction between the two vertices associated with each edge or its edges may be directed from one vertex to another; see graph (mathematics) for more detailed definitions and for other variations in the types of graphs that are commonly considered. The graphs studied in graph theory should not be confused with "graphs of functions" and other kinds of graphs.

Sylvan Learning

SECOND GRADE BASIC MATH A solid foundation of basic math skills is essential for early success in math. Children who can connect their understanding of math to the world around them, and build confidence through practice, will be ready for the challenges of mathematics as they advance to more complex topics. The activities in this workbook are designed to help your children catch up, keep up, and get ahead. Best of all, they’ll have lots of fun doing it! Some of the great features you’ll find inside are: Pick a PackageDetermining how many bags of marbles, seeds in seed packets, or boxes of chocolates are needed helps a child learn how to group objects. Fair Share Calculating how many cupcakes, cookies, and milk shakes twins can share, or dividing chicken and French fries for a family meal, helps reinforce the concept of sharing equally. Piece of Cake Coloring pieces of cake to match each fraction, and determining which fraction is larger, provide practice in recognizing and comparing...

J. S. Ratti, Marcus S. McWaters

Ratti and McWaters have combined years of lecture notes and firsthand experience with students to bring readers a book series that teaches at the same level and in the style as the best math instructors. An extensive array of exercises and learning aids further complements the instruction readers would receive in class and during office hours. Basic Concepts of Algebra, Equations and Inequalities, The Coordinate Plane, Polynomial and Rational Functions, Exponential and Logarithmic Functions, Trigonometric Functions Angles and Their Measure, Trigonometric Identities, Applications of Trigonometric Functions, Systems of Equations and Inequalities, Matrices and Determinants, Conic Sections, Further Topics in Algebra For readers interested in precalculus.

High Quality Content by WIKIPEDIA articles! In four dimensional geometry, Schlafli-Hess polychora are the complete set of 10 regular self-intersecting star polychora (four-dimensional polytopes). They are named in honor of their discoverers: Ludwig Schlafli and Edmund Hess. Each is represented by a Schlafli symbol in which one of the numbers is 5/2. They are thus analogous to the regular nonconvex Kepler-Poinsot polyhedra. Allowing for regular star polygons as faces, edge figures and vertex figures, these 10 polychora add to the set of six regular convex 4-polytopes. All may be derived as stellations of the 120-cell or the 600-cell.

Ella Hawley

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