Points And Lines
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Points And Lines
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Author : Ernest E. Shult
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-13
Points And Lines written by Ernest E. Shult 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 2010-12-13 with Mathematics categories.
The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtually all of these geometries (or homomorphic images of them) are characterized in this book by simple local axioms on points and lines. Simple point-line characterizations of Lie incidence geometries allow one to recognize Lie incidence geometries and their automorphism groups. These tools could be useful in shortening the enormously lengthy classification of finite simple groups. Similarly, recognizing ruled manifolds by axioms on light trajectories offers a way for a physicist to recognize the action of a Lie group in a context where it is not clear what Hamiltonians or Casimir operators are involved. The presentation is self-contained in the sense that proofs proceed step-by-step from elementary first principals without further appeal to outside results. Several chapters have new heretofore unpublished research results. On the other hand, certain groups of chapters would make good graduate courses. All but one chapter provide exercises for either use in such a course, or to elicit new research directions.
Principles Of Form And Design
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Author : Wucius Wong
language : en
Publisher: John Wiley & Sons
Release Date : 1993-09-16
Principles Of Form And Design written by Wucius Wong and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-16 with Design categories.
An unprecedented package that gives readers the content of three important references by one of today's most influential design writers. This is a master class in the principles and practical fundamentals of design that will appeal to a broad audience of graphic artists and designers.
Critical Thinking Activities Geometry Points Lines And Patterns
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Author : Sylvia J. Connolly
language : en
Publisher: Teacher Created Materials
Release Date : 2014-02-01
Critical Thinking Activities Geometry Points Lines And Patterns written by Sylvia J. Connolly and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-01 with categories.
Sharpen geometry students' critical-thinking skills with brain-teasing activities. Parents, students, and teachers will love these fun challenges, puzzles, and logical thinking pages. They're a great way to practice higher-order thinking skills.
Points Lines Angles And Planes
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Author : Sara Freeman
language : en
Publisher: Milliken Publishing Company
Release Date : 2004-09-01
Points Lines Angles And Planes written by Sara Freeman and has been published by Milliken Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-01 with Education categories.
This easy-to-use packet is chock full of stimulating activities that will jumpstart your students' interest in geometry while providing practice with points, lines, angles, and planes. A variety of puzzles and games will challenge students to think creatively as they sharpen their geometry skills. Each page begins with a clear explanation of the featured geometry topic, providing extra review and reinforcement.
Chapters On The Modern Geometry Of The Point Line And Circle
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Author : Richard Townsend
language : en
Publisher:
Release Date : 1863
Chapters On The Modern Geometry Of The Point Line And Circle written by Richard Townsend and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1863 with Mathematics categories.
Handbook Of Mathematics
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Author : Thierry Vialar
language : en
Publisher: BoD - Books on Demand
Release Date : 2016-12-07
Handbook Of Mathematics written by Thierry Vialar and has been published by BoD - Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-07 with Mathematics categories.
The book consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII .Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
Geometry Of Derivation With Applications
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Author : Norman L. Johnson
language : en
Publisher: CRC Press
Release Date : 2023-06-06
Geometry Of Derivation With Applications written by Norman L. Johnson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-06 with Mathematics categories.
Geometry of Derivation with Applications is the fifth work in a longstanding series of books on combinatorial geometry (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes, and Combinatorics of Spreads and Parallelisms). Like its predecessors, this book will primarily deal with connections to the theory of derivable nets and translation planes in both the finite and infinite cases. Translation planes over non-commutative skewfields have not traditionally had a significant representation in incidence geometry, and derivable nets over skewfields have only been marginally understood. Both are deeply examined in this volume, while ideas of non-commutative algebra are also described in detail, with all the necessary background given a geometric treatment. The book builds upon over twenty years of work concerning combinatorial geometry, charted across four previous books and is suitable as a reference text for graduate students and researchers. It contains a variety of new ideas and generalizations of established work in finite affine geometry and is replete with examples and applications.
What Is Mathematics
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Author : the late Richard Courant
language : en
Publisher: Oxford University Press
Release Date : 1996-07-18
What Is Mathematics written by the late Richard Courant and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-18 with Mathematics categories.
For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved. Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Meaningful mathematics is like journalism--it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.
The Role Of Nonassociative Algebra In Projective Geometry
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Author : John R. Faulkner
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-10-09
The Role Of Nonassociative Algebra In Projective Geometry written by John R. Faulkner 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 2014-10-09 with Mathematics categories.
There is a particular fascination when two apparently disjoint areas of mathematics turn out to have a meaningful connection to each other. The main goal of this book is to provide a largely self-contained, in-depth account of the linkage between nonassociative algebra and projective planes, with particular emphasis on octonion planes. There are several new results and many, if not most, of the proofs are new. The development should be accessible to most graduate students and should give them introductions to two areas which are often referenced but not often taught. On the geometric side, the book introduces coordinates in projective planes and relates coordinate properties to transitivity properties of certain automorphisms and to configuration conditions. It also classifies higher-dimensional geometries and determines their automorphisms. The exceptional octonion plane is studied in detail in a geometric context that allows nondivision coordinates. An axiomatic version of that context is also provided. Finally, some connections of nonassociative algebra to other geometries, including buildings, are outlined. On the algebraic side, basic properties of alternative algebras are derived, including the classification of alternative division rings. As tools for the study of the geometries, an axiomatic development of dimension, the basics of quadratic forms, a treatment of homogeneous maps and their polarizations, and a study of norm forms on hermitian matrices over composition algebras are included.
Principles Of Two Dimensional Design
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Author : Wucius Wong
language : en
Publisher: John Wiley & Sons
Release Date : 1991-01-16
Principles Of Two Dimensional Design written by Wucius Wong and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-16 with Computers categories.
Understanding the elements of two-dimensional design and the infinite options available in organizing choices made are at the core of this book. Wong surveys all concepts of forms and structures, covering most situations in two-dimensional composition, formal or informal.