····· lezzter Preis 17.40€ ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Prof. Dr. Harald Scheid ist Professor für Mathematik und ihre Didaktik an der Bergischen Universität - Gesamthochschule Wuppertal. ····· ····· ····· ····· ····· ····· ····· ····· 10361206196
····· lezzter Preis 8.50€ ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Von allen geometrischen Gebilden, welche aus geraden Linien aufgebaut sind, kann das Pentagramm als das mit den hervorragendsten Eigenschaften bezeichnet werden. Ob geometrische Eigenschaft oder mathematische Beziehung seiner Seitenverhältnisse, fand Leonardo da Vinci bereits im Goldenen Schnitt, dem `Sectio aurea`, die bedeutende Rolle in der Natur, im menschlichen Körper sowie in der Kunst. Dieser Titel beschäftigt sich mit der Aufgabe der Geometrie des Pentagramms, des Sternenfünfecks. Es ist teilweise notwendig, manche Begriffe und Lehrsätze aus einer anderen Richtung zu betrachten als gewohnt. So entsteht auch der Zusammenhang zu den Grundproblemen der Erziehung und den pädagogischen Erkenntnissen von Rudolf Steiner. ····· 10361199924
für 37.90€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Anschaulich und mit vielen Rechenbeispielen führt der dänische Mathematiker Julius Petersen in die Dynamik fester Körper ein. Er erklärt Grundsätze, erläutert Formeln und stellt Aufgaben zur Überprüfung des Lernfortschritts. Sorgfältig bearbeiteter Nachdruck der Originalausgabe von 1887. Ebenfalls von Julius Petersen im Unikum-Verlag erschienen: Die ebene Trigonometrie und die sphärischen Grundformeln ISBN 978-3-8457-4100-0 ····· 10361139047
für 30.90€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Julius Petersen, dänischer Mathematiker und Gründungsmitglied der Dänischen Mathematischen Gesellschaft, führt ein in die ebene Trigonometrie und erläutert diese zusammen mit den sphärischen Grundformeln.Sorgfältig bearbeiteter Nachdruck der Originalausgabe von 1885. ····· 10361139019
für 29.90€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Der Pädagoge und Naturwissenschaftler August Ludwig Busch präsentiert im vorliegenden Band eine Einführung in die darstellende Geometrie für Ingenieure, Architekten, Handwerker u. v. m. In insgesamt 103 praktischen Aufgaben mit Lösungen werden grundlegende Kenntnisse der Geometrie vermittelt. Sorgfältig nachbearbeiteter Nachdruck der Originalausgabe aus dem Jahr 1846. ····· 10361138593
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray The study of non-transitive actions of a Lie group G on a smooth manifold is a very interesting problem. The first and most natural case is the case when the action is of cohomogeneity one . Many mathematicians have studied cohomogeneity one Riemannian G-manifolds and there are much nice result in the literature on the subject. But for the cohomogeneity one pseudo-Riemannian manifolds there are no much result in the literature. In this book, which is based on the Ph.D. thesis of the first author, we want to study these manifolds. ····· 10361133301
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray We introduce multiple-view geometry for algebraic curves,with applications in both static and dynamic scenes. More precisely, we show how the epipolar geometry can be recovered from algebraic curves. For that purpose, we introduce a generalization of Kruppa s equations, which express the epipolar constraint for algebraic curves. Reconstruction from a single image based on symmetry is also considered and we show how this relates to algebraic curves for a simple example. We also investigate the question of three-dimensional reconstruction of an algebraic curve from two or more views. In the case of two views, we show that for a generic situation, there are two solutions for the reconstruction, which allows extracting the right solution, provided the degree of the curve is greater or equal to 3. When more than two views are available,we show that there construction can be done by linear computations, using either the dual curve or the variety of intersecting lines. In both cases, no curve tting is necessary in the image space. Finally we focus on dynamic scenes and show when and how the trajectory of a moving point can be recovered from a moving camera. ····· 10361133270
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray The aim of this book is to define and study the $({cal{T}}_{!a}, {cal{T}}_{!b})$-pseudosymmetric, $({cal{T}}_{!a}, {cal{T}}_{!b},S^{ell})$-pseudosymmetric, $({cal{T}}_{!a},S_{{cal{T}}_{b}})$-pseudosymmetric and $({cal{T}}_{!a},S_{{cal{T}}_{!b}},S^{ell})$-pseudosymmetric semi-Riemannian manifolds. Then study these type of pseudosymmetry for $(N(K),xi)$-semi-Riemannian manifolds. ····· 10361118028
für 50.31€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Con la mirada de la teoría APOE (Acciones, Procesos, Objetos, Esquemas), se presenta un estudio en torno a la Recta de Euler, centrando la atención en la construcción cognitiva de los conceptos geométricos involucrados en la re-construcción de este objeto geométrico. Proponemos una Descomposición Genética (DG) que explicita las construcciones mentales y mecanismos de abstracción reflexiva que intervienen cuando estudiantes de pedagogía en matemática construyen la recta de Euler y demuestran el teorema asociado a ella. Esta DG se documenta con evidencias empíricas obtenidas al aplicar un cuestionario exploratorio, diseñado en base a un análisis teórico del concepto en estudio. ····· 10361116954
für 21.51€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Kniga posvyashchena geometricheskomu opisaniyu uzkikh puchkov sveta i drugikh protsessov v dlinnykh trubkakh. V nastoyashchey rabote opisan simmetrichnyy (simmetrichno pronumerovannyy) treugol`nik Paskalya i predlozhena novaya naglyadnaya model` `nelineynyy arifmeticheskiy parallelepiped`, dlya chislennogo opisaniya `binarnoy luchevoy sistemy` i dlya illyustratsii protsessa raspredeleniya vetvyashcheysya sistemy paraksial`nykh (gaussovykh) puchkov i volnoobraznykh traektoriy. Predlagaemaya novaya model` mozhet byt` polezna dlya priblizhennoy i formal`noy, no naglyadnoy geometricheskoy interpretatsii protsessov dvizheniya chastits i voln v dlinnykh trubkakh. K takim protsessam mozhno otnesti, naprimer, rasprostranenie sveta v lazerakh, nakhozhdenie chastitsy v beskonechno glubokoy potentsial`noy yame (vklyuchaya novuyu geometricheskuyu interpretatsiyu spina chastitsy), laminarnoe i turbulentnoe techenie zhidkosti po trubam i t. p. V knige privedeno bol`shoe kolichestvo risunkov i grafikov, a takzhe tablits s chislennymi raschetami, vypolnennymi v programme Excel. Kniga prednaznachena vsem, kto interesuetsya novymi naglyadnymi geometricheskimi issledovaniyami v oblasti fiziki i optiki. ····· 10361115089
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray This research will be helpful to people to display the 2-dimensional projective models of 4-variable actual problems in many fields, in order to investigate deeply those actual problems. By using the theory of N-dimensional finite rotation group of the regular polytopes, the author establishes the 2- dimensional projective model of 4-dimensional rectangular coordinate system, and deduces a transformation matrix, and adopts it to display successfully the 2-dimensional real shapes of two most complicated regular polytopes 120-Cell and 600- Cell. The author calculates all the vertex coordinates and determines the joint relations between adjacent vertices of the regular polytopes 120-Cell and 600-Cell. Also, this provides a pattern for displaying the 2-dimensional projective model of 4-variable actual problem. ····· 10361115086
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray The braid groups were mainly studied by E. Artin in 1925. After that a lot of improvement has been seen in this area and the theory was established as a theory of braids. For example J. S. Birman and P. Dehornoy, etc, have great contributions in this subject. This book contains the basic notions of braids and braid monoids. Using the Bokut`s non-commutative Grobner bases we have given an algorithm to compute inductively the Hilbert series of all the braid monoids and we gave examples for few initial values. Here we have given the growth rates of braid monoids with three and with four strings and shown that the growth functions of these monoids are exponential. In this book we have described the Garside elements of some spherical Artin monoids. At the end we have proved that for the spherical Artin monoids the growth rate is bounded above by 4. ····· 10361114979
für 61.20€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray In reverse engineering the detection of special classes of curves and surfaces generated by Computer Aided Curve and Surface Design often is based on the line congruence of normals and the GAUSS-image of such a surface. For surfaces with a kinematic generation , the congruence of normals belongs to a linear complex and this fact allows the detection via a line geometric treatment. Patch detection in case of general spline surfaces is not yet solved successfully. While the patch generation is at most invariant with respect to affine transformation, the normal congruence of the patch is an Euclidean concept. Therefore we can expect that connections between the patch and its congruence turn to be rather complicated already for (algebraic) Bézier surfaces. The analysis of the patch`s normal congruence is only the first step of the far more difficult investigation of a reflection or refraction congruence with respect to a given patch. This problem belonging to geometric optics would have explicit industrial applications, but is not the topic of this book. We restrict ourselves to an analysis of the normal congruence of Bézier patches. ····· 10361114405
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray The main problem of knot theory is to differentiate knots. To distinguish knots one needs a knot invariant, which is a function that gives a single value on isotopic knots. The first step toward finding knot invariants was made by Reidemeister by introducing the Reidemeister moves. Even before the discovery of the Reidemeister moves, Alexander defined geometrically a polynomial knot invariant which was later defined by Conway in 1970 in terms of a skein relation. In 1985, V. F. R. Jones revolutionized the knot theory by defining the Jones polynomial as a knot invariant. However, in 1987 L. H. Kauffman introduced a stat-sum model construction of the Jones polynomial that was purely combinatorial and remarkably simple. Our contribution to knot theory includes a general recurrence relation for the Jones polynomial that helps in proving many qualitative results and an expansion formula that drastically reduces the computations in calculating Jones polynomials. We hope this work is not only useful for people who work in classical knot theory but also for people who work in virtual knot theory. ····· 10361114042
für 26.80€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Das Buch `Analytische Geometrie - Vom gymnasialen zum universitären Anspruch` basiert auf einer Vorlesung zur analytischen Geometrie, die der Autor seit vielen Jahren an der Universität Augsburg hält. Es knüpft an Schulwissen an und verbindet dieses mit der Sichtweise der linearen Algebra. Ausführlich werden die geometrischen Eigenschaften von Punktmengen anhand ihrer Beschreibung als algebraische Objekte aufgezeigt. Das Buch richtet sich an Studierende und Dozenten entsprechender Vorlesungen und an alle, die sich für die analytische Beschreibung von geometrischen Objekten interessieren. Gründlich und anhand von vielen Beispielen stellt es die Zusammenhänge dar. Es eignet sich somit zur Vertiefung von Vorlesungsinhalten, zur Klausurvorbereitung wie zum selbstständigen Erarbeiten des Themenbereichs. ····· 10361108193
····· lezzter Preis 53.10€ ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray This book presents a complete, exact and efficient algorithm to compute the adjacency graph of an arrangement of quadrics, i.e., surfaces of algebraic degree 2. Extending an approach for an exact parameterization of the intersection curves of two quadrics, the approach computes the exact parameter value for intersection points and from that the adjacency graph of the arrangement. The presented implementation is complete in the sense that it can handle all kinds of inputs. It is exact in that it always computes the mathematically correct result. It is efficient measured in running times, i.e. it compares favorably to the only previously implemented approach. The approach was realized in the context of the EXACUS project whose central goal is the development of a demonstrator of a reliable and efficient CAD geometry kernel spending great effort on completeness, exactness, efficiency, documentation and reusability. Due to its specific requirements, the work on quadrics had particular impact on the generic number type support and the modular methods used within EXACUS, which is by now successfully integrated into CGAL, the computational geometry algorithms library. ····· 10361102240
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray This monograph examines the n-dimensional regular polytopes from various aspects through a series of papers, model pictures and data. These papers don`t seem to have direct relations among them, but they, in fact, separately explored various aspects of the n-dimensional regular polytopes, such as structure, internal relationship, included angles and size scales, etc.. The mathematical knowledges involved includes group theory, combinatorial mathematics, disperse geometry, partial differential geometry and topology etc. They form the unique characteristics of this monograph: each paper has its own independent character, and all of the papers are inter-connected and related to the n-dimensional regular polytopes. What is more important is that the monograph contains many rarely known formulae, relative expressions and data. The main purpose of writing this monograph is that by digesting the research presented, people can understand that the reasoning ability of mankind can absolutely reach the n-dimensional space and calculate accurately the numerical values concerning the n-dimensional regular polytopes. ····· 10361101990
für 71.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Why do railway tracks appear to meet at the horizon Why do circles appear flattened when seen at an angle What is a `straight line` Do we really see it as straight How do we perceive depth These are questions that relate to what we do all the time: see things. The sense of vision is fundamental to our perception of the world, yet most of us go through our lives without wondering much about how it works. This book deals with the nature of distortions like the above that occur in the process of seeing. It starts with a single simple axiom, and builds from it to mathematical results that attempt to answer such questions. The discussion follows and compares different mathematical scales that can capture the process of vision. The ideas gathered are then used to understand the nature of binocular vision and how it enables the perception of depth, and ways in which we can exploit this capability to simulate a 3D experience. The arguments and derivations in the book require only a knowledge of high school mathematics. ····· 10361101910
für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray This thesis shows how the conformal model in geometric algebra is able to describe Euclidean geometry. Since transformations in this model are structure preserving, this algebra is able to treat motions in a unified way. In our search for a general interpolation method of transformations, we focus on determining their logarithms. First we look at how Taylor series can be evaluated for transformations in this algebra. A drawback is that in general infinite series has to be evaluated to achieve exact results. Therefore we also present our generalized Chasles theorem, that classically only takes care of rotations and translations, to decompose motions such that they can be interpolated having a closed form expression. The proposed method successfully describes logarithms of certain compositions of basic transformations, but is not able to yield the general logarithm of a conformal transformation. In our search for such a general logarithm, we have investigated many potentially useful properties and representations, summarized in the appendices. ····· 10361101773
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray In the late nineteenth century mathematicians established that it is not merely difficult but impossible to deduce Euclid I from Euclid I to IV. The square root of two is not rational but irrational, the sum of two odd numbers is always an even number , a polynomial quadratic equations cannot have more than two roots , it is not possible to trisect the general given angle , it is impossible to square a circle and duplicate a cube and it is not possible to draw a regular heptagon. These are all famous mathematical impossibilities. But the mathematical variation of liar`s paradox says that In any logical system one can construct statements that are neither true nor false. [Gödel`s first incompleteness theorem] In this work, the author re probed the parallel postulate problem and found sixteen new consistent findings which may give birth to a new field of science. Also, the author`s findings establish the above mentioned theorem. ····· 10361101487· 1 ·· 2 ·· 3 ·
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