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Books in English / Все науки... / Математика

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Schwarzschild Coordinates: Schwarzschild Coordinates, Pseudo-Riemannian Manifold, Spherically Symmetric Spacetime, Atlas Topology, Spherical Coordinate System, Static Spacetime, Spacetime

4528.00 руб.*

Schwarzschild Coordinates: Schwarzschild Coordinates, Pseudo-Riemannian Manifold, Spherically Symmetric Spacetime, Atlas Topology, Spherical Coordinate System, Static Spacetime, Spacetime

High Quality Content by WIKIPEDIA articles! In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres. In such a spacetime, a particularly important kind of coordinate chart is the Schwarzschild chart, a kind of polar spherical coordinate chart on a static and spherically symmetric spacetime, which is adapted to these nested round spheres. The defining characteristic of Schwarzschild chart is that the radial coordinate possesses a natural geometric interpretation in terms of the surface area and Gaussian curvature of each sphere. However, radial distances and angles are not accurately represented.
Problem of Apollonius: Euclidean Geometry, Circle, Tangent, Apollonius of Perga, Pappus of Alexandria, Adriaan van Roomen, Hyperbola, Compass and Straightedge Constructions, Franciscus Vieta

4339.00 руб.*

Problem of Apollonius: Euclidean Geometry, Circle, Tangent, Apollonius of Perga, Pappus of Alexandria, Adriaan van Roomen, Hyperbola, Compass and Straightedge Constructions, Franciscus Vieta

High Quality Content by WIKIPEDIA articles! n Euclidean plane geometry, Apollonius' problem is to construct circles that are tangent to three given circles in a plane. Apollonius of Perga (ca. 262 BC ? ca. 190 BC) posed and solved this famous problem in his work ?????? (Epaphai, "Tangencies"); this work has been lost, but a 4th-century report of his results by Pappus of Alexandria has survived. Three given circles generically have eight different circles that are tangent to them (Figure 2) and each solution circle encloses or excludes the three given circles in a different way.
College Algebra and Trigonometry (2nd Edition)

21846.00 руб.*

J. S. Ratti, Marcus S. McWaters

College Algebra and Trigonometry (2nd Edition)

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, Graphs and Functions, 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.
Lectures on the Hyperreals: An Introduction to Nonstandard Analysis

9034.00 руб.*

Robert Goldblatt

Lectures on the Hyperreals: An Introduction to Nonstandard Analysis

This is an introduction to nonstandard analysis based on a course of lectures given several times by the author. It is suitable for use as a text at the beginning graduate or upper undergraduate level, or for self-study by anyone familiar with elementary real analysis. It presents nonstandard analysis not just as a theory about infinitely small and large numbers, but as a radically different way of viewing many standard mathematical concepts and constructions; a source of new ideas, objects and proofs; and a wellspring of powerful new principles of reasoning (transfer, overflow, saturation, enlargement, hyperfinite approximation etc.). The book begins with the ultrapower construction of hyperreal number systems, and proceeds to develop one-variable calculus, analysis and topology from the nonstandard perspective, emphasizing the role of the transfer principle as a working tool of mathematical practice. It then sets out the theory of enlargements of fragments of the mathematical...
Snub 24-cell: Geometry, Uniform Polychoron, Cell, Semiregular 4-polytope, Platonic Solid, Tetrahedron, Icosahedron, Rectified 5-cell, Rectified 600-cell, Truncated 24-cell

4707.00 руб.*

Snub 24-cell: Geometry, Uniform Polychoron, Cell, Semiregular 4-polytope, Platonic Solid, Tetrahedron, Icosahedron, Rectified 5-cell, Rectified 600-cell, Truncated 24-cell

High Quality Content by WIKIPEDIA articles! In geometry, the snub 24-cell is a convex uniform polychoron composed of 120 regular tetrahedra and 24 icosahedra cells. Five tetrahedra and three icosahedra meet at each vertex. In total it has 3600 triangle faces, 3600 edges, and 720 vertices. It is one of three semiregular polychora made of two or more cells which are platonic solids, discovered by Thorold Gosset in his 1900 paper. He called it a tetricosahedric for being made of tetrahedron and icosahedron cells. (The other two are the rectified 5-cell and rectified 600-cell.)
Spectrum of a C*-algebra: C*-Algebra, Unitary Equivalence, Hilbert Space, Topological Space, Simple Module, Spectrum of a Ring, Locally Compact Group, Plancherel Theorem

3954.00 руб.*

Spectrum of a C*-algebra: C*-Algebra, Unitary Equivalence, Hilbert Space, Topological Space, Simple Module, Spectrum of a Ring, Locally Compact Group, Plancherel Theorem

High Quality Content by WIKIPEDIA articles! The spectrum of a C*-algebra or dual of a C*-algebra A, denoted A, is the set of unitary equivalence classes of irreducible *-representations of A. A *-representation ? of A on a Hilbert space H is irreducible if, and only if, there is no closed subspace K different from H and {0} which is invariant under all operators ?(x) with x ? A. We implicitly assume that irreducible representation means non-null irreducible representation, thus excluding trivial (i.e. identically 0) representations on one-dimensional spaces. As explained below, the spectrum A is also naturally a topological space; this generalizes the notion of the spectrum of a ring.
Spearman's rank correlation coefficient: Statistics, Non-Parametric Statistics, Raw Score, Null Hypothesis, Fisher Transformation, Statistical Hypothesis ... Confidence Interval, Correspondence Analysis

4025.00 руб.*

Spearman's rank correlation coefficient: Statistics, Non-Parametric Statistics, Raw Score, Null Hypothesis, Fisher Transformation, Statistical Hypothesis ... Confidence Interval, Correspondence Analysis

High Quality Content by WIKIPEDIA articles! In statistics, Spearman's rank correlation coefficient or Spearman's rho, named after Charles Spearman and often denoted by the Greek letter ? (rho) or as rs, is a non-parametric measure of correlation ? that is, it assesses how well an arbitrary monotonic function could describe the relationship between two variables, without making any other assumptions about the particular nature of the relationship between the variables. Certain other measures of correlation are parametric in the sense of being based on possible relationships of a parameterised form, such as a linear relationship.
Seifert?van Kampen Theorem: Seifert?van Kampen Theorem, Seifert Surface, Mathematics, Herbert Seifert, Manifold, Knot Mathematics, Link Knot Theory, Euclidean Space, 3-sphere, Mobius Strip

3968.00 руб.*

Seifert?van Kampen Theorem: Seifert?van Kampen Theorem, Seifert Surface, Mathematics, Herbert Seifert, Manifold, Knot Mathematics, Link Knot Theory, Euclidean Space, 3-sphere, Mobius Strip

High Quality Content by WIKIPEDIA articles! In mathematics, the Seifert?van Kampen theorem of algebraic topology, sometimes just called van Kampen's theorem, expresses the structure of the fundamental group of a topological space X, in terms of the fundamental groups of two open, path-connected subspaces U and V that cover X. It can therefore be used for computations of the fundamental group of spaces that are constructed out of simpler ones.
Mastering Statistics

489.00 руб.*

Tim Hannagan

Mastering Statistics

This highly successful book, now in its third edition, covers all the essential information you need to learn in order to master statistics. Complete, readable, clearly explained, this book is designed for you and requires no previous knowledge. Helps you to succeed on your course - packed with illustrations, examples and assignments to reinforce learning and understanding. This edition has been fully revised in order to, match examination and course developments and in order to provide clear calculations and diagrams and accessible explanations. Up-to-date sections on all aspects of statistics including developed sections on probability, vital statistics, market research, experiments and scaling. Includes a section on how to pass statistics examinations. Tim Hannagan has considerable experience as an examiner and lecturer in further and higher education as well as many years' experience of management, including over...
Intermediate Algebra (10th Edition)

8156.00 руб.*

Margaret L. Lial, John Hornsby, Terry McGinnis

Intermediate Algebra (10th Edition)

Key Message: The Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package.


Books in English / Все науки... / Математика

 

 

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