Models Of The Real Projective Plane
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Models Of The Real Projective Plane
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Author : Francois Apery
language : de
Publisher: Springer-Verlag
Release Date : 2013-03-09
Models Of The Real Projective Plane written by Francois Apery and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
In the present time, objects generated by computers are replacing models made from wood, wire, and plaster. It is interesting to see how computer graphics can help us to understand the geometry of surfaces and illustrate some recent results on representations of the real projective plane.
The Universe Of Conics
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Author : Georg Glaeser
language : en
Publisher: Springer
Release Date : 2016-03-22
The Universe Of Conics written by Georg Glaeser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-22 with Mathematics categories.
This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics. This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry. Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.
Euclidean Non Euclidean And Transformational Geometry
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Author : Shlomo Libeskind
language : en
Publisher: Springer Nature
Release Date : 2024-10-22
Euclidean Non Euclidean And Transformational Geometry written by Shlomo Libeskind and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-22 with Mathematics categories.
This undergraduate textbook provides a comprehensive treatment of Euclidean and transformational geometries, supplemented by substantial discussions of topics from various non-Euclidean and less commonly taught geometries, making it ideal for both mathematics majors and pre-service teachers. Emphasis is placed on developing students' deductive reasoning skills as they are guided through proofs, constructions, and solutions to problems. The text frequently emphasizes strategies and heuristics of problem solving including constructing proofs (Where to begin? How to proceed? Which approach is more promising? Are there multiple solutions/proofs? etc.). This approach aims not only to enable students to successfully solve unfamiliar problems on their own, but also to impart a lasting appreciation for mathematics. The text first explores, at a higher level and in much greater depth, topics that are normally taught in high school geometry courses: definitions and axioms, congruence, circles and related concepts, area and the Pythagorean theorem, similarity, isometries and size transformations, and composition of transformations. Constructions and the use of transformations to carry out constructions are emphasized. The text then introduces more advanced topics dealing with non-Euclidean and less commonly taught topics such as inversive, hyperbolic, elliptic, taxicab, fractal, and solid geometries. By examining what happens when one or more of the building blocks of Euclidean geometry are altered, students will gain a deeper understanding of and appreciation for Euclidean concepts. To accommodate students with different levels of experience in the subject, the basic definitions and axioms that form the foundation of Euclidean geometry are covered in Chapter 1. Problem sets are provided after every section in each chapter and include nonroutine problems that students will enjoy exploring. While not necessarily required, the appropriate use of freely available dynamic geometry software and other specialized software referenced in the text is strongly encouraged; this is especially important for visual learners and for forming conjectures and testing hypotheses.
Exploring Geometry
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Author : Michael Hvidsten
language : en
Publisher: CRC Press
Release Date : 2016-12-08
Exploring Geometry written by Michael Hvidsten and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-08 with Mathematics categories.
Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author
Analytic Projective Geometry
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Author : John Bamberg
language : en
Publisher: Cambridge University Press
Release Date : 2023-10-19
Analytic Projective Geometry written by John Bamberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-19 with Design categories.
This book introduces students to projective geometry from an analytic perspective, mixing recent results from the past 100 years with the history of the field in one of the most comprehensive surveys of the subject. The subject is taught conceptually, with worked examples and diagrams to aid in understanding.
A Guide To Plane Algebraic Curves
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Author : Keith Kendig
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-12-31
A Guide To Plane Algebraic Curves written by Keith Kendig and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-31 with Mathematics categories.
An accessible introduction to plane algebraic curves that also serves as a natural entry point to algebraic geometry.
Challenging The Boundaries Of Symbolic Computation With Cd Rom Proceedings Of The Fifth International Mathematica Symposium
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Author : Philip Ramsden
language : en
Publisher: World Scientific
Release Date : 2003-06-02
Challenging The Boundaries Of Symbolic Computation With Cd Rom Proceedings Of The Fifth International Mathematica Symposium written by Philip Ramsden and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-02 with Mathematics categories.
This volume consists of papers delivered at the International Mathematica Symposium 2003 — an interdisciplinary meeting bringing together users of Mathematica in research and education. It gathers research papers, reports on classroom practice, reports on the use of Mathematica in industry and commerce, and descriptions of fresh applications.List of contributors: J Nash, S Wolfram, R Maeder, B Buchberger and C McTague.
Challenging The Boundaries Of Symbolic Computation
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Author : Peter Mitic
language : en
Publisher: World Scientific
Release Date : 2003
Challenging The Boundaries Of Symbolic Computation written by Peter Mitic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Education categories.
This volume consists of papers delivered at the International Mathematica Symposium 2003 ? an interdisciplinary meeting bringing together users of Mathematica in research and education. It gathers research papers, reports on classroom practice, reports on the use of Mathematica in industry and commerce, and descriptions of fresh applications.List of contributors: J Nash, S Wolfram, R Maeder, B Buchberger and C McTague.
The Four Pillars Of Geometry
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Author : John Stillwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-09
The Four Pillars Of Geometry written by John Stillwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-09 with Mathematics categories.
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Geometry The Line And The Circle
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Author : Maureen T. Carroll
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-12-20
Geometry The Line And The Circle written by Maureen T. Carroll and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-20 with Mathematics categories.
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.