Download Elemente der Geometrie (German Edition) by Harald Scheid,Wolfgang Schwarz PDF

By Harald Scheid,Wolfgang Schwarz

Das Buch richtet sich an Studierende in Lehramtsstudiengängen aller Schulstufen sowie an Lehrende des Faches Mathematik. Es enthält den fachwissenschaftlichen Hintergrund der Geometrie des aktuellen Mathematikunterrichts einschließlich rechnerischer Methoden, streift aber auch zahlreiche darüber hinausführende Themen wie die Geometrie der komplexen Zahlen, die sphärische Trigonometrie, die Graphentheorie, endliche Geometrien und Modelle nichteuklidischer Geometrien. Zahlreiche Anwendungsbeispiele und ca. three hundred Aufgaben mit Lösungen machen das Buch zu einer effektiven Arbeitsgrundlage.

Die vorliegende five. Auflage ist vollständig überarbeitet. Inhaltlich wurde der Themenkreis Bandornamente ausgebaut, und das Thema projektive Geometrie wurde neu aufgenommen.

Stimme zum Buch:
„Ein vielseitiges Buch, das alle Facetten der Elementargeometrie aufgreift und Bezüge aufzeigt. Geeignet, den Horizont zu erweitern und zum Studieren und Entdecken anzuregen.“ Prof. Dr. Andreas Filler, Humboldt-Universität Berlin 

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Download Modern Geometry with Applications (Universitext) by George A. Jennings PDF

By George A. Jennings

This advent to fashionable geometry differs from different books within the box because of its emphasis on purposes and its dialogue of certain relativity as a tremendous instance of a non-Euclidean geometry. also, it covers the 2 vital parts of non-Euclidean geometry, round geometry and projective geometry, in addition to emphasising adjustments, and conics and planetary orbits. a lot emphasis is put on purposes through the publication, which inspire the subjects, and lots of extra purposes are given within the routines. It makes an exceptional creation in case you want to know how geometry is utilized in addition to its formal theory.

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Download Representation Theory of Lie Groups (London Mathematical by M. F. Atiyah,R. Bott,S. Helgason,D. Kazhdan,B. Kostant,G. PDF

By M. F. Atiyah,R. Bott,S. Helgason,D. Kazhdan,B. Kostant,G. Lustztig

Lie teams and their representations occupy a tremendous position in arithmetic with functions in such assorted fields as differential geometry, quantity concept, differential equations and physics. In 1977 a symposium used to be held in Oxford to introduce this speedily constructing and increasing topic to non-specialists. This quantity includes the lectures of ten individual mathematicians designed to supply the reader with a deeper figuring out of the elemental idea and get pleasure from the variety of effects. This quantity includes a lot to curiosity mathematicians and theoretical physicists from complex undergraduate point upwards.

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Download The Symbolic Language of Geometrical Figures (Izvor by Omraam Mikhaël Aïvanhov PDF

By Omraam Mikhaël Aïvanhov

 ‘From the earliest days of heritage, males have sought a language which might be either common and artificial, a language able to expressing the richest and most intricate realities whereas, even as, lowering them to the barest necessities. it truly is this examine that resulted in the invention of pictures and logos. pictures and logos converse: they've got their very own language, however the absolute language of symbols is that of geometrical figures. Geometrical figures are, because it have been, the framework or skeleton of fact yet even supposing they're diminished to the naked bones they're on no account useless, for they symbolize residing realities in guy and the universe. And it is because, to be able to interpret them we need to breathe the lifetime of the spirit into them: they'll suggest not anything to us if we're content material to check them in simple terms as they take place outdoor ourselves.’

Omraam Mikhaël Aïvanhov

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Download Cohomology and Differential Forms (Dover Books on by Izu Vaisman PDF

By Izu Vaisman

This monograph explores the cohomological conception of manifolds with numerous sheaves and its software to differential geometry. in line with lectures given by means of writer Izu Vaisman at Romania's collage of Iasi, the therapy is appropriate for complex undergraduates and graduate scholars of arithmetic in addition to mathematical researchers in differential geometry, worldwide research, and topology.
A self-contained improvement of cohomological conception constitutes the vital a part of the publication. subject matters contain different types and functors, the Čech cohomology with coefficients in sheaves, the speculation of fiber bundles, and differentiable, foliated, and complicated analytic manifolds. the ultimate bankruptcy covers the theorems of de Rham and Dolbeault-Serre and examines the concept of Allendoerfer and Eells, with functions of those theorems to attribute sessions and the final thought of harmonic forms.

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Download Computational Geometry: Curve and Surface Modeling by Su Bu-qing,Liu Ding-yuan,Chang Geng-Zhe PDF

By Su Bu-qing,Liu Ding-yuan,Chang Geng-Zhe

Computational Geometry: Curve and floor Modeling presents details pertinent to the basic elements of computational geometry. This e-book discusses the geometric homes of parametric polynomial curves through the use of the idea of affine invariants for algebraic curves.

Organized into 8 chapters, this publication starts with an outline of the gadgets reviews in computational geometry, particularly surfaces and curves. this article then explores the advancements within the conception and alertness of spline capabilities, which all started with cubic spline features. different chapters reflect on the mechanical heritage of the cubic spline features, that's the wood spline with small deflection. This publication discusses in addition that during mathematical lofting the data of a geometrical form is given by means of a suite of information issues, whereas in geometric layout alternative routes of representations can be found. the ultimate bankruptcy offers with the strategies within the conception of algebraic curves.

This booklet is a important source for mathematicians.

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Download Euclidean and Non-Euclidean Geometry: An Analytic Approach by Patrick J. Ryan PDF

By Patrick J. Ryan

This e-book supplies a rigorous remedy of the basics of aircraft geometry: Euclidean, round, elliptical and hyperbolic. the first goal is to acquaint the reader with the classical result of aircraft Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, type of isometries, attitude addition and trigonometrical formulae. although, the booklet not just offers scholars with evidence approximately and an realizing of the constitution of the classical geometries, but in addition with an arsenal of computational thoughts for geometrical investigations. the purpose is to hyperlink classical and sleek geometry to arrange scholars for extra research and examine in team thought, Lie teams, differential geometry, topology, and mathematical physics. The e-book is meant essentially for undergraduate arithmetic scholars who've received the power to formulate mathematical propositions accurately and to build and comprehend mathematical arguments. a few familiarity with linear algebra and uncomplicated mathematical features is thought, even though the entire worthy heritage fabric is incorporated within the appendices.

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Download Differential Geometry of Curves and Surfaces: Revised and by Manfredo P. do Carmo PDF

By Manfredo P. do Carmo

One of the main customary texts in its box, this quantity introduces the differential geometry of curves and surfaces in either neighborhood and international points. The presentation departs from the normal procedure with its extra huge use of effortless linear algebra and its emphasis on easy geometrical evidence instead of equipment or random information. Many examples and workouts increase the transparent, well-written exposition, in addition to tricks and solutions to a few of the problems.
The remedy starts off with a bankruptcy on curves, by means of explorations of normal surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and worldwide differential geometry. appropriate for complicated undergraduates and graduate scholars of arithmetic, this text's must haves contain an undergraduate path in linear algebra and a few familiarity with the calculus of numerous variables. For this moment variation, the writer has corrected, revised, and up to date the whole volume.

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Download The food of the Parallel Geometry 2: Mathematics is your by Temitope James PDF

By Temitope James

The e-book "Mathematics is your nutrients" involves a topic of primary foundation of its energy and effort to extend your wisdom on the time the learn of arithmetic. The publication is a hugely selective scope designed to instill wisdom of arithmetic at you and increase the tutorial lifetime of a pupil is. The books are written in additional than forty assorted uncomplicated mathematical subject matters which are helpful for kids, scholars and consumers to reach arithmetic schooling of every inner and exterior. additionally, the publication is interpreted in French, German, Spanish and Italian. each one subject comprises volumes (The ambitions and theories)
The identify of this publication is a made of the flavour of arithmetic. Make this publication for your accomplice to unravel every one subject and learn how to remedy questions with supervision or on your own. examine the concepts of answer of questions and solution them easily.
This booklet definitely fit your wishes within the pursuit of information and knowing of arithmetic. "Mathematics is your foodstuff" is a robust conviction for severe scholars of arithmetic who desired to elevate the facility and power of the answer of matters in strict arithmetic. purchase the e-book and luxuriate in the flavour of mathematics

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Download Algebraic Varieties (London Mathematical Society Lecture by G. Kempf PDF

By G. Kempf

during this booklet Professor Kempf supplies an creation to the idea of algebraic capabilities on forms from a sheaf theoretic point of view. by way of taking this view he's capable of provide a fresh and lucid account of the topic with a purpose to be simply obtainable to all novices to algebraic types, graduate scholars or specialists from different fields alike. an individual who is going directly to learn schemes will locate that this e-book is a perfect preparatory text.

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