Introduction to Geometry PDF Download
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Author: Richard Rusczyk
Publisher: Aops Incorporated
ISBN: 9781934124086
Category : Juvenile Nonfiction
Languages : en
Pages : 557
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Book Description
Author: Richard Rusczyk
Publisher: Aops Incorporated
ISBN: 9781934124086
Category : Juvenile Nonfiction
Languages : en
Pages : 557
Get Book Here
Book Description
Author: Alfred S. Posamentier
Publisher: Courier Corporation
ISBN: 0486134865
Category : Mathematics
Languages : en
Pages : 275
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Book Description
Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.
Author: Marja van den Heuvel-Panhuizen
Publisher: BRILL
ISBN: 9087903987
Category : Education
Languages : en
Pages : 356
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Book Description
Improving the quality of education is an important ambition of educational policy. The TAL project aims to contribute to this. It is a project initiated by the Dutch Ministry of Education, Culture and Science, and carried out by the Freudenthal Institute (FI) of Utrecht University and the Dutch National Institute for Curriculum Development (SLO), and partly conducted in cooperation with the Rotterdam Center for Educational Services (CED). The quality of education can be improved in many ways. TAL proposes to do this by providing insights into the broad longitudinal outline of the learning-teaching process and its internal coherence. The intention of TAL is to give support to teachers in combination with the guidance they get from mathematics textbook series. This learning-teaching trajectory description for measurement and geometry aims to succeed in stimulating classroom practice and to inspire teachers to didactical efforts on a high level, in what was up to now, in the lower grades of primary school, a less-known subdomain of mathematics. The learning-teaching trajectory with intermediate attainment targets offers support to teachers, in order to give measurement and geometry a full and worthy place within the mathematics curriculum. For that to be the case, the foundation that is made with this learning-teaching trajectory must be built upon in the higher grades of primary school and beyond.
Author: Evan Chen
Publisher: American Mathematical Soc.
ISBN: 1470466201
Category : Education
Languages : en
Pages : 311
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Book Description
This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.
Author: Bruce E. Meserve
Publisher: Courier Corporation
ISBN: 048615226X
Category : Mathematics
Languages : en
Pages : 340
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Book Description
Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.
Author: H. S. M. Coxeter
Publisher: American Mathematical Society
ISBN: 1470466414
Category : Mathematics
Languages : en
Pages : 193
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Book Description
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Author: Vaughn Climenhaga
Publisher: American Mathematical Soc.
ISBN: 1470434792
Category : Mathematics
Languages : en
Pages : 442
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Book Description
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
Author: Benjamin Bold
Publisher: Courier Corporation
ISBN: 0486137635
Category : Science
Languages : en
Pages : 148
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Book Description
Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 108
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Book Description
Author: Eugenio Oñate
Publisher: Springer Science & Business Media
ISBN: 1402068565
Category : Technology & Engineering
Languages : en
Pages : 272
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Book Description
The book contains 14 invited contributions written by distinguished authors who participated in the Second International Conference on Textile Composites and Inflated Structures held in Stuttgart, 2-4 October 2005. The book includes state-of-the-art contributions written by international experts in the field of design, analysis and construction of textile composites and inflatable structures. The different chapters discuss recent progress and future research directions the field.
