Topics in Diagram Geometry PDF Download
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Author: Antonio Pasini
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 280
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Book Description
Author: Antonio Pasini
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 280
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Book Description
Author: Francis Buekenhout
Publisher: Springer Science & Business Media
ISBN: 3642344534
Category : Mathematics
Languages : en
Pages : 597
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Book Description
This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings. The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs. The text is written so graduate students will be able to follow the arguments without needing recourse to further literature. A strong point of the book is the density of examples.
Author: Francis Gardella
Publisher: IAP
ISBN: 1648029345
Category : Education
Languages : en
Pages : 163
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Book Description
Much of the content that students study in a high school geometry course is totally new to them. The middle school mathematics curriculum does not contain preparatory work for many of these topics as it does in preparing students for the study of Algebra. The proposed text would be a landmark book giving students the ability to gain some understanding of the content before it is formally addressed in the lesson in the course. While many teachers use initial classroom activities called ‘DoNows,’ there are no structured materials available to teachers of Geometry for this purpose. When teachers do use them, these activities are constructed by the teachers. The text provides the teachers with such materials and is structured to address what the teachers are about to present to the students. The Labs can also be used for exploration of topics at the middle school level enhancing the program there and giving students a better preparation for their high school Geometry program.
Author: Simon Donaldson
Publisher: Springer Science & Business Media
ISBN: 030648658X
Category : Mathematics
Languages : en
Pages : 424
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Book Description
Different Faces of Geometry - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from the following important topics in modern geometry: These apparently diverse topics have a common feature in that they are all areas of exciting current activity. The Editors have attracted an impressive array of leading specialists to author chapters for this volume: G. Mikhalkin (USA-Canada-Russia), V.D. Milman (Israel) and A.A. Giannopoulos (Greece), C. LeBrun (USA), Ko Honda (USA), P. Ozsvath (USA) and Z. Szabo (USA), C. Simpson (France), D. Joyce (UK) and P. Seidel (USA), and S. Bauer (Germany). One can distinguish various themes running through the different contributions. There is some emphasis on invariants defined by elliptic equations and their applications in low-dimensional topology, symplectic and contact geometry (Bauer, Seidel, Ozsvath and Szabo). These ideas enter, more tangentially, in the articles of Joyce, Honda and LeBrun.Here and elsewhere, as well as explaining the rapid advances that have been made, the articles convey a wonderful sense of the vast areas lying beyond our current understanding. Simpson's article emphasizes the need for interesting new constructions (in that case of Kahler and algebraic manifolds), a point which is also made by Bauer in the context of 4-manifolds and the 11/8 conjecture. LeBrun's article gives another perspective on 4-manifold theory, via Riemannian geometry, and the challenging open questions involving the geometry of even well-known 4-manifolds. There are also striking contrasts between the articles. The authors have taken different approaches: for example, the thoughtful essay of Simpson, the new research results of LeBrun and the thorough expositions with homework problems of Honda. One can also ponder the differences in the style of mathematics. In the articles of Honda, Giannopoulos and Milman, and Mikhalkin, the geometry is present in a very vivid and tangible way; combining respectively with topology, analysis and algebra.The papers of Bauer and Seidel, on the other hand, makes the point that algebraic and algebro-topological abstraction (triangulated categories, spectra) can play an important role in very unexpected ways in concrete geometric problems. - From the Preface by the Editors
Author: Allen Ma
Publisher: McGraw Hill Professional
ISBN: 1260454290
Category : Mathematics
Languages : en
Pages : 400
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Book Description
Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. A UNIQUE NEW APPROACH THAT’S LIKE A LIGHTNING BOLT TO THE BRAIN You know that moment when you feel as though a lightning bolt has hit you because you finally get something? That’s how this book will make you react. (We hope!) Each chapter makes sure that what you really need to know is clear right off the bat and sees to it that you build on this knowledge. Where other books ask you to memorize stuff, we’re going to show you the must know ideas that will guide you toward success in geometry. You will start each chapter learning what the must know ideas behind a geometry subject are, and these concepts will help you solve the geometry problems that you find in your classwork and on exams. Dive into this book and find: • 250+ practice questions that mirror what you will find in your classwork and on exams• A bonus app with 100+ flashcards that will reinforce what you’ve learned• Extensive examples that drive home essential concepts• An easy-access setup that allows you to jump in and out of subjects• Geometry topics aligned to national and state education standards• Special help for more challenging geometry subjects, including proofs, transformations, and constructions We’re confident that the must know ideas in this book will have you up and solving geometry problems in no time—or at least in a reasonable amount of time! The authors, between them, teach high school math courses including geometry, trigonometry, pre-calculus, calculus, and discrete math. Whew!
Author:
Publisher:
ISBN:
Category : Geometry, Plane
Languages : it
Pages : 2
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Book Description
Author: John Edward Zolnowsky
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 134
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Book Description
Author: Patricio Herbst
Publisher: Springer
ISBN: 331977476X
Category : Education
Languages : en
Pages : 383
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Book Description
This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.
Author: Allen Ma
Publisher: McGraw Hill Professional
ISBN: 1264286155
Category : Mathematics
Languages : en
Pages : 498
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Book Description
A unique and effective way to learn Geometry—updated with the latest instruction and review Must Know High School Geometry provides a fresh approach to learning. As part of our Must Know series, this new edition makes sure what you really need to know is clear up-front. Rather than starting with goals to be met, chapters begin by telling you the most important concepts about the topic at hand—and then show you exactly how these concepts help you accomplish your goals. Written by expert geometry educators, Must Know High School Geometry, Second Edition provides updated lesson content and useful examples to help clarify each topic. Every chapter closes with reinforcing exercises to get you the practice you need to gain confidence. New features to this edition focus on extra support and helping you avoid common mistakes. In the end, you get everything you need to build your geometry skills quickly and painlessly. Features: More than 250 practice questions that parallel what you will find in your classwork and on exams Bonus app that includes 100+ flashcards to reinforce concepts “Extra Help” and “Easy Mistake” features put the emphasis on how to improve and what pitfalls to avoid Geometry topics aligned to national and state educational standards Practical examples throughout and an answer key with explanations make sure you understand the topics Conversational writing style and informative IRL (In Real Life) and BTW (By the Way) sidebars A special section for teachers with tips and strategies on teaching the material and content-specific links and resources
Author: Bruce Shawyer
Publisher: World Scientific Publishing Company
ISBN: 981310094X
Category : Mathematics
Languages : en
Pages : 319
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Book Description
This book covers the basic topics in geometry (including trigonometry) that are accessible and valuable to senior high school and university students. It also includes materials that are very useful for problem solving in mathematical competitions, from relatively easy to advanced levels, including the International Mathematical Olympiad.
