Geometric Transformations Iv
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Geometric Transformations Iv
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Author : I. M. Yaglom
language : en
Publisher: MAA
Release Date : 2009-10-15
Geometric Transformations Iv written by I. M. Yaglom and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-15 with Mathematics categories.
The familiar plane geometry of high school figures composed of lines and circles takes on a new life when viewed as the study of properties that are preserved by special groups of transformations. No longer is there a single, universal geometry: different sets of transformations of the plane correspond to intriguing, disparate geometries. This book is the concluding Part IV of Geometric Transformations, but it can be studied independently of Parts I, II, and III, which appeared in this series as Volumes 8, 21, and 24. Part I treats the geometry of rigid motions of the plane (isometries); Part II treats the geometry of shape-preserving transformations of the plane (similarities); Part III treats the geometry of transformations of the plane that map lines to lines (affine and projective transformations) and introduces the Klein model of non-Euclidean geometry. The present Part IV develops the geometry of transformations of the plane that map circles to circles (conformal or anallagmatic geometry). The notion of inversion, or reflection in a circle, is the key tool employed. Applications include ruler-and-compass constructions and the Poincar model of hyperbolic geometry. The straightforward, direct presentation assumes only some background in high-school geometry and trigonometry. Numerous exercises lead the reader to a mastery of the methods and concepts. The second half of the book contains detailed solutions of all the problems.
Geometric Transformations
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Author : Isaak Moiseevich I︠A︡glom
language : en
Publisher:
Release Date : 1962
Geometric Transformations written by Isaak Moiseevich I︠A︡glom and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Transformations (Mathematics) categories.
Geometric Transformations
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Author :
language : en
Publisher:
Release Date : 2009
Geometric Transformations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Geometry, Modern categories.
Geometry By Its Transformations
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Author : Christopher Baltus
language : en
Publisher: Springer Nature
Release Date : 2025-02-07
Geometry By Its Transformations written by Christopher Baltus and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-07 with Mathematics categories.
This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years. The book starts with the background needed from Euclid’s Elements, followed by chapters on transformations, including dilation (similitude), homology, homogeneous coordinates, projective geometry, inversion, the Möbius transformation, and transformation geometry as in French schoolbooks of 1910. Projective geometry is presented by tracing its path through the work of J. V. Poncelet, J. Steiner, and K. G. C. von Staudt. Extensive exercises are included, many from the period studied. The prerequisites for approaching this course are knowledge of high school geometry and enthusiasm for mathematical demonstration. This textbook is ideal for a college geometry course, for self-study, or as preparation for the study of modern geometry.
An Excursion Through Elementary Mathematics Volume Ii
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Author : Antonio Caminha Muniz Neto
language : en
Publisher: Springer
Release Date : 2018-04-16
An Excursion Through Elementary Mathematics Volume Ii written by Antonio Caminha Muniz Neto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-16 with Mathematics categories.
This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
Jumpstarters For Geometry Grades 4 8
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Author : Shiotsu
language : en
Publisher: Mark Twain Media
Release Date : 2008-09-02
Jumpstarters For Geometry Grades 4 8 written by Shiotsu and has been published by Mark Twain Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-02 with Juvenile Nonfiction categories.
Make math matter for students in grades 4 and up using Jumpstarters for Geometry: Short Daily Warm-Ups for the Classroom! This 48-page resource covers lines, angles, polygons, figures, symmetry, transformations, perimeter, area, solid figures, surface area, volume, ordered pairs, and coordinate planes. It includes five warm-ups per reproducible page, answer keys, and suggestions for use.
Linear Algebra Geometry And Transformation
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Author : Bruce Solomon
language : en
Publisher: CRC Press
Release Date : 2014-12-12
Linear Algebra Geometry And Transformation written by Bruce Solomon and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-12 with Mathematics categories.
The Essentials of a First Linear Algebra Course and MoreLinear Algebra, Geometry and Transformation provides students with a solid geometric grasp of linear transformations. It stresses the linear case of the inverse function and rank theorems and gives a careful geometric treatment of the spectral theorem.An Engaging Treatment of the Interplay amo
Invitation To Number Theory
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Author : Oystein Ore
language : en
Publisher: American Mathematical Society
Release Date : 2018-08-15
Invitation To Number Theory written by Oystein Ore and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-15 with Mathematics categories.
Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.
The Collected Mathematical Papers Of Henry John Stephen Smith
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Author : Smith
language : en
Publisher:
Release Date : 1894
The Collected Mathematical Papers Of Henry John Stephen Smith written by Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1894 with categories.
The Collected Mathematical Papers Of Henry John Stephen Smith
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Author : Henry John Stephen Smith
language : en
Publisher:
Release Date : 1894
The Collected Mathematical Papers Of Henry John Stephen Smith written by Henry John Stephen Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1894 with Mathematics categories.