Fundamental Concepts of Geometry

Fundamental Concepts of Geometry PDF 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.

Fundamental Concepts of Geometry

Fundamental Concepts of Geometry PDF 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.

Basic Concepts of Geometry

Basic Concepts of Geometry PDF Author: Walter Prenowitz
Publisher: Rowman & Littlefield
ISBN: 9780912675480
Category : Mathematics
Languages : en
Pages : 380

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Book Description
No descriptive material is available for this title.

Geometry

Geometry PDF Author: Alan Bass
Publisher:
ISBN: 9780321473318
Category : Geometry
Languages : en
Pages : 0

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Book Description
This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra. Topics include: A Brief History of Geometry 1. Basic Geometry Concepts 2. More about Angles 3. Triangles 4. More about Triangles: Similarity and Congruence 5. Quadrilaterals 6. Polygons 7. Area and Perimeter 8. Circles 9. Volume and Surface Area 10. Basic Trigonometry

Basic Concepts of Synthetic Differential Geometry

Basic Concepts of Synthetic Differential Geometry PDF Author: R. Lavendhomme
Publisher: Springer Science & Business Media
ISBN: 1475745885
Category : Mathematics
Languages : en
Pages : 331

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Book Description
Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians.

Basic Elements of Differential Geometry and Topology

Basic Elements of Differential Geometry and Topology PDF Author: S.P. Novikov
Publisher: Springer Science & Business Media
ISBN: 9401578958
Category : Mathematics
Languages : en
Pages : 500

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Book Description
One service mathematics has rendered the 'Et moi ..., si j'avait su comment en revenir, je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Matht"natics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series

Basic Geometry for College Students

Basic Geometry for College Students PDF Author: Alan S. Tussy
Publisher: Cengage Learning
ISBN: 9780534391805
Category : Mathematics
Languages : en
Pages : 164

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Book Description
Intended to address the need for a concise overview of fundamental geometry topics. Sections 1-7 introduce such topics as angles, polygons, perimeter, area, and circles. In the second part of the text, Sections 8-11 cover congruent and similar triangles, special triangles, volume, and surface area.

Lectures on Fundamental Concepts of Algebra and Geometry [microform]

Lectures on Fundamental Concepts of Algebra and Geometry [microform] PDF Author: John Wesley Young
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 268

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Book Description


Geometry: A Comprehensive Course

Geometry: A Comprehensive Course PDF Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Category : Mathematics
Languages : en
Pages : 466

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Book Description
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12 PDF Author: Nathalie Sinclair
Publisher: National Council of Teachers of English
ISBN: 9780873536929
Category : Education, Secondary
Languages : en
Pages : 95

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Book Description
Why does it matter whether we state definitions carefully when we all know what particular geometric figures look like? What does it mean to say that a reflection is a transformation—a function? How does the study of transformations and matrices in high school connect with later work with vector spaces in linear algebra? How much do you know… and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organised around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently. Move beyond the mathematics you expect your students to learn. Students who fail to get a solid grounding in pivotal concepts struggle in subsequent work in mathematics and related disciplines. By bringing a deeper understanding to your teaching, you can help students who don’t get it the first time by presenting the mathematics in multiple ways. The Essential Understanding Series addresses topics in school mathematics that are critical to the mathematical development of students but are often difficult to teach. Each book in the series gives an overview of the topic, highlights the differences between what teachers and students need to know, examines the big ideas and related essential understandings, reconsiders the ideas presented in light of connections with other mathematical ideas, and includes questions for readers’ reflection.

Foundations of Geometry

Foundations of Geometry PDF Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 0486472140
Category : Mathematics
Languages : en
Pages : 352

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Book Description
Explains geometric theories and shows many examples.