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Circular Transformations
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Book Synopsis Geometric Transformations IV by : I. M. Yaglom
Download or read book Geometric Transformations IV written by I. M. Yaglom and published by MAA. This book was released on 2009-10-15 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of the geometry of circular transformations.
Book Synopsis Geometric Transformations by : Răzvan Gelca
Download or read book Geometric Transformations written by Răzvan Gelca and published by Springer Nature. This book was released on 2022-02-16 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based perspective on problems that have appeared in recent years at mathematics competitions around the globe, as well as on some classical examples and theorems. It is based on the combined teaching experience of the authors (coaches of several Mathematical Olympiad teams in Brazil, Romania and the USA) and presents comprehensive theoretical discussions of isometries, homotheties and spiral similarities, and inversions, all illustrated by examples and followed by myriad problems left for the reader to solve. These problems were carefully selected and arranged to introduce students to the topics by gradually moving from basic to expert level. Most of them have appeared in competitions such as Mathematical Olympiads or in mathematical journals aimed at an audience interested in mathematics competitions, while some are fundamental facts of mathematics discussed in the framework of geometric transformations. The book offers a global view of the geometric content of today's mathematics competitions, bringing many new methods and ideas to the attention of the public. Talented high school and middle school students seeking to improve their problem-solving skills can benefit from this book, as well as high school and college instructors who want to add nonstandard questions to their courses. People who enjoy solving elementary math problems as a hobby will also enjoy this work.
Book Synopsis Projective Transformations by : P. S. Modenov
Download or read book Projective Transformations written by P. S. Modenov and published by Academic Press. This book was released on 2014-05-12 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Transformations, Volume 2: Projective Transformations focuses on collinearity-preserving transformations of the projective plane. The book first offers information on projective transformations, as well as the concept of a projective plane, definition of a projective mapping, fundamental theorems on projective transformations, cross ratio, and harmonic sets. Examples of projective transformations, projective transformations in coordinates, quadratic curves in the projective plane, and projective transformations of space are also discussed. The text then examines inversion, including the power of a point with respect to a circle, definition and properties of inversion, and circle transformations and the fundamental theorem. The manuscript elaborates on the principle of duality. The manuscript is designed for use in geometry seminars in universities and teacher-training colleges. The text can also be used as supplementary reading by high school teachers who want to extend their range of knowledge on projective transformations.
Book Synopsis A Treatise on the Circle and the Sphere by : Julian Lowell Coolidge
Download or read book A Treatise on the Circle and the Sphere written by Julian Lowell Coolidge and published by . This book was released on 1916 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Projective Geometry by : Linnaeus Wayland Dowling
Download or read book Projective Geometry written by Linnaeus Wayland Dowling and published by . This book was released on 1917 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1964 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1898 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin (new Series) of the American Mathematical Society by :
Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1893 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Annals of Mathematics written by and published by . This book was released on 1897 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Geometric Vein written by C. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H. S. M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry.
Book Synopsis Transformation Literacy by : Petra Künkel
Download or read book Transformation Literacy written by Petra Künkel and published by Springer Nature. This book was released on 2022 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book brings science and practice together and inspires a global movement towards co-creating regenerative civilizations that work for 100% of humanity and the Earth as a whole. With its conceptual foundation of the concept of transformation literacy it enhances the knowledge and capacity of decision-makers, change agents and institutional actors to steward transformations effectively across institutions, societal sectors and nations. Humanity is at crossroads. Resource depletion and exponential emissions that not only cause climate change, but endanger the health of people and planet, call for a decisive turnaround of human civilization. A new and transformative paradigm is emerging that advocates for regenerative civilizations, in which a narrative of systemic health as much as individual and collective vitality guide the interaction of socio-economic-ecological systems. Truly transformative change must go far beyond technical solutions, and instead envision what can be termed ‘a new operating system’ that helps humankind to live well within the planetary boundaries and partner with life’s evolutionary processes. This requires transformations at three different levels: ̈ Mindsets that reconnect with a worldview in which human agency acknowledges its co-evolutionary pathways with each other and the Earth. ̈ Political, social and economic systems that are regenerative and foster the care-taking for Earth life support systems. ̈ Competencies to design and implement effective large-scale transformative change processes at multiple levels with multiple stakeholders. This book provides key ingredients for enhancing transformation literacy from various perspectives around the globe. It connects the emerging practice of stewarding transformative change across business, government institutions and civil society actors with the most promising scientific models and concepts that underpin human action to shape the future collectively in accordance with planetary needs.
Author :National Research Council (U.S.). Committee on Rational Transformations Publisher : ISBN 13 : Total Pages :412 pages Book Rating :4.3/5 (91 download)
Book Synopsis Selected Topics in Alegbraic Geometry by : National Research Council (U.S.). Committee on Rational Transformations
Download or read book Selected Topics in Alegbraic Geometry written by National Research Council (U.S.). Committee on Rational Transformations and published by . This book was released on 1928 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Euclidean Geometry and Transformations by : Clayton W. Dodge
Download or read book Euclidean Geometry and Transformations written by Clayton W. Dodge and published by Courier Corporation. This book was released on 2012-04-26 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
Book Synopsis Complex Numbers in Geometry by : I. M. Yaglom
Download or read book Complex Numbers in Geometry written by I. M. Yaglom and published by Academic Press. This book was released on 2014-05-12 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Numbers in Geometry focuses on the principles, interrelations, and applications of geometry and algebra. The book first offers information on the types and geometrical interpretation of complex numbers. Topics include interpretation of ordinary complex numbers in the Lobachevskii plane; double numbers as oriented lines of the Lobachevskii plane; dual numbers as oriented lines of a plane; most general complex numbers; and double, hypercomplex, and dual numbers. The text then takes a look at circular transformations and circular geometry, including ordinary circular transformations, axial circular transformations of the Lobachevskii plane, circular transformations of the Lobachevskii plane, axial circular transformations, and ordinary circular transformations. The manuscript is intended for pupils in high schools and students in the mathematics departments of universities and teachers' colleges. The publication is also useful in the work of mathematical societies and teachers of mathematics in junior high and high schools.
Download or read book Science Bulletin written by and published by . This book was released on 1902 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to the publication of the results of research by members of the University of Kansas.
Book Synopsis The University of Kansas Science Bulletin by : University of Kansas
Download or read book The University of Kansas Science Bulletin written by University of Kansas and published by . This book was released on 1902 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Kansas University Science Bulletin by : University of Kansas
Download or read book The Kansas University Science Bulletin written by University of Kansas and published by . This book was released on 1902 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to the publication of the results of research by members of the University of Kansas.