Geometric Transformations

Download Geometric Transformations full books in PDF, epub, and Kindle. Read online Geometric Transformations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Geometric Transformations

Author : Răzvan Gelca
Publisher : Springer Nature
ISBN 13 : 3030891178
Total Pages : 581 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!

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.

Geometric Transformations

Author : Isaak Moiseevich I︠A︡glom
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Geometric Transformations by : Isaak Moiseevich I︠A︡glom

Download or read book Geometric Transformations written by Isaak Moiseevich I︠A︡glom and published by . This book was released on 1962 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Transformations for 3D Modeling

Author : Michael E. Mortenson
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Geometric Transformations for 3D Modeling by : Michael E. Mortenson

Download or read book Geometric Transformations for 3D Modeling written by Michael E. Mortenson and published by . This book was released on 2007 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformations. Presenting the more abstract foundation material in the first three chapters, Geometric Transformations in 3D Modeling reduces the clutter of theoretical derivation and development in the remainder of the text and introduces the operational and more application-oriented tools and concepts as the need arises. It assumes the reader has already taken analytic geometry and first-year calculus and has a working knowledge of basic matrix and vector algebra. This self-contained resource is sure to appeal to those working in 3D modeling, geometric modeling, computer graphics, animation, robotics, and kinematics. Explores and develops the subject in much greater breadth and depth than other books, offering readers a better understanding of transformation theory, the role of invariants, the uses of various notation systems, and the relations between transformations. Describes how geometric objects may change position, orientation, or even shape when subjected to mathematical operations, while properties characterizing their geometric identity and integrity remain unchanged. Presents eigenvalues, eigenvectors, and tensors in a way that makes it easier for readers to understand. Contains revised and improved figures, with many in color to highlight important features. Provides exercises throughout nearly all of the chapters whose answers are found at the end of the book.

Euclidean Geometry and Transformations

Author : Clayton W. Dodge
Publisher : Courier Corporation
ISBN 13 : 0486138429
Total Pages : 306 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!

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.

Transformation Geometry

Author : George E. Martin
Publisher : Springer Science & Business Media
ISBN 13 : 1461256801
Total Pages : 251 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Transformation Geometry by : George E. Martin

Download or read book Transformation Geometry written by George E. Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.

Linear Algebra, Geometry and Transformation

Author : Bruce Solomon
Publisher : CRC Press
ISBN 13 : 1482299305
Total Pages : 474 pages
Book Rating : 4.4/5 (822 download)

DOWNLOAD NOW!

Book Synopsis Linear Algebra, Geometry and Transformation by : Bruce Solomon

Download or read book Linear Algebra, Geometry and Transformation written by Bruce Solomon and published by CRC Press. This book was released on 2014-12-12 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections!

Author : Frederickson Greg N
Publisher : World Scientific
ISBN 13 : 981322049X
Total Pages : 432 pages
Book Rating : 4.8/5 (132 download)

DOWNLOAD NOW!

Book Synopsis Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! by : Frederickson Greg N

Download or read book Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! written by Frederickson Greg N and published by World Scientific. This book was released on 2017-11-24 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A geometric dissection is a cutting of a geometric figure (such as a regular polygon, or a star, or a cross) into pieces that we can rearrange to form another geometric figure. The best dissections are beautiful and possess economy (few pieces), symmetry, or hingeability. They are often challenging to discover. Ernest Irving Freese was an architect who lived and worked in Los Angeles until his death in 1957. Shortly before he passed away, he completed a 200-page manuscript on geometric dissection, the first book-length treatment on that subject. Freese included elegant drawings of dissections that were both original and clever. After his death the manuscript lay forgotten in his former house until Greg Frederickson set in motion its recovery in 2003. What a treat that it was rescued! Frederickson's book sketches a history of geometric dissections and a biography of Freese, followed by a refurbished copy of Freese's manuscript interleaved with a commentary that highlights Freese's major contributions as well as singular improvements made by Frederickson and others after Freese. This book introduces Freese and his creations to math puzzle enthusiasts, by way of his engaging manuscript, his wild adventures, and his lovely dissections. Frederickson also includes remarkable designs that improve on Freese's work, and packs this book with nifty illustrations and tidbits that may well leave you speechless! Contents: The Rich History of Geometric DissectionsThe "Wild Adventures" of Ernest FreeseTechniques, Special Properties, HardnessFreese's Title Page and IndexIsosceles TrianglesEquilateral TrianglesSquares, Crosses, RectanglesPentagons and PentagramsHexagons and HexagramsOctagons and OctagramsEnneagons (Nonagons)Decagons and DecagramsDodecagons, DodecagramsMany-sided PolygonsMiscellaneous FiguresMore CrossesMore Miscellaneous FiguresMixed Polygons to OneSpecial Triangles Readership: General public and math puzzle enthusiasts. Keywords: Geometric Dissections;Hinged Dissections;Ernest Irving Freese;Henry E Dudeney;Mathematical Recreations;Polygons;Stars;Tessellations;Rhombuses;SymmetryReview: Key Features: The book is a feast for the eyes: Freese's manuscript displays exquisite drawings in an architect's style, while the commentary presents outstandinging dissections that illustrate a brilliant visual one-ups-man-shipThe book stretches the boundaries of dissection: Freese's manuscript explores a remarkable variety of here-to-fore unseen geometric dissections, including those that demonstrate nontrivial numerical identities. The commentary pushes his exploratory use of hinges in extraordinary ways, and drastically improves on his pioneering dissections of many-sided polygons to squaresThe book provides not only historical perspectives on geometric dissection, but also summarizes current mathematical characterizations of the hardness of minimizing the number of pieces in a dissection and of verifying motion planning of hinged dissections

Geometries and Transformations

Author : Norman W. Johnson
Publisher : Cambridge University Press
ISBN 13 : 1107103401
Total Pages : 455 pages
Book Rating : 4.1/5 (71 download)

DOWNLOAD NOW!

Book Synopsis Geometries and Transformations by : Norman W. Johnson

Download or read book Geometries and Transformations written by Norman W. Johnson and published by Cambridge University Press. This book was released on 2018-06-07 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: A readable exposition of how Euclidean and other geometries can be distinguished using linear algebra and transformation groups.

Transformation Groups in Differential Geometry

Author : Shoshichi Kobayashi
Publisher : Springer Science & Business Media
ISBN 13 : 3642619819
Total Pages : 192 pages
Book Rating : 4.6/5 (426 download)

DOWNLOAD NOW!

Book Synopsis Transformation Groups in Differential Geometry by : Shoshichi Kobayashi

Download or read book Transformation Groups in Differential Geometry written by Shoshichi Kobayashi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in §§ 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In § 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip §§ 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965.

Geometric Algebra

Author : Emil Artin
Publisher : Courier Dover Publications
ISBN 13 : 048680920X
Total Pages : 228 pages
Book Rating : 4.4/5 (868 download)

DOWNLOAD NOW!

Book Synopsis Geometric Algebra by : Emil Artin

Download or read book Geometric Algebra written by Emil Artin and published by Courier Dover Publications. This book was released on 2016-01-20 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner." Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.

Matrices and Transformations

Author : Anthony J. Pettofrezzo
Publisher : Courier Corporation
ISBN 13 : 0486151808
Total Pages : 225 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!

Book Synopsis Matrices and Transformations by : Anthony J. Pettofrezzo

Download or read book Matrices and Transformations written by Anthony J. Pettofrezzo and published by Courier Corporation. This book was released on 2012-05-04 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. Here are the fundamental concepts of matrix algebra, first in an intuitive framework and then in a more formal manner. A Variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed. The purpose of this book is to familiarize the reader with the role of matrices in abstract algebraic systems, and to illustrate its effective use as a mathematical tool in geometry. The first two chapters cover the basic concepts of matrix algebra that are important in the study of physics, statistics, economics, engineering, and mathematics. Matrices are considered as elements of an algebra. The concept of a linear transformation of the plane and the use of matrices in discussing such transformations are illustrated in Chapter #. Some aspects of the algebra of transformations and its relation to the algebra of matrices are included here. The last chapter on eigenvalues and eigenvectors contains material usually not found in an introductory treatment of matrix algebra, including an application of the properties of eigenvalues and eigenvectors to the study of the conics. Considerable attention has been paid throughout to the formulation of precise definitions and statements of theorems. The proofs of most of the theorems are included in detail in this book. Matrices and Transformations assumes only that the reader has some understanding of the basic fundamentals of vector algebra. Pettofrezzo gives numerous illustrative examples, practical applications, and intuitive analogies. There are many instructive exercises with answers to the odd-numbered questions at the back. The exercises range from routine computations to proofs of theorems that extend the theory of the subject. Originally written for a series concerned with the mathematical training of teachers, and tested with hundreds of college students, this book can be used as a class or supplementary text for enrichments programs at the high school level, a one-semester college course, individual study, or for in-service programs.

Bäcklund and Darboux Transformations

Author : C. Rogers
Publisher : Cambridge University Press
ISBN 13 : 9780521012881
Total Pages : 436 pages
Book Rating : 4.0/5 (128 download)

DOWNLOAD NOW!

Book Synopsis Bäcklund and Darboux Transformations by : C. Rogers

Download or read book Bäcklund and Darboux Transformations written by C. Rogers and published by Cambridge University Press. This book was released on 2002-06-24 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the deep and fascinating connections that exist between a ubiquitous class of physically important waves known as solitons and the theory of transformations of a privileged class of surfaces as they were studied by eminent geometers of the nineteenth century. Thus, nonlinear equations governing soliton propagation and also mathematical descriptions of their remarkable interaction properties are shown to arise naturally out of the classical differential geometry of surfaces and what are termed Bäcklund-Darboux transformations.This text, the first of its kind, is written in a straightforward manner and is punctuated by exercises to test the understanding of the reader. It is suitable for use in higher undergraduate or graduate level courses directed at applied mathematicians or mathematical physics.

Geometry of Complex Numbers

Author : Hans Schwerdtfeger
Publisher : Courier Corporation
ISBN 13 : 0486135861
Total Pages : 224 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!

Book Synopsis Geometry of Complex Numbers by : Hans Schwerdtfeger

Download or read book Geometry of Complex Numbers written by Hans Schwerdtfeger and published by Courier Corporation. This book was released on 2012-05-23 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Putnam and Beyond

Author : Răzvan Gelca
Publisher : Springer
ISBN 13 : 3319589881
Total Pages : 857 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Putnam and Beyond by : Răzvan Gelca

Download or read book Putnam and Beyond written by Răzvan Gelca and published by Springer. This book was released on 2017-09-19 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

Author : Feyzi Başar
Publisher : CRC Press
ISBN 13 : 1351166913
Total Pages : 173 pages
Book Rating : 4.3/5 (511 download)

DOWNLOAD NOW!

Book Synopsis Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties by : Feyzi Başar

Download or read book Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties written by Feyzi Başar and published by CRC Press. This book was released on 2020-02-04 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other. The book also discusses several geometric properties of summable spaces, as well as dealing with the construction of summable spaces using Orlicz functions, and explores several structural properties of such spaces. Each chapter contains a conclusion section highlighting the importance of results, and points the reader in the direction of possible new ideas for further study. Features Suitable for graduate schools, graduate students, researchers and faculty, and could be used as a key text for special Analysis seminars Investigates different types of summable spaces and computes their duals Characterizes several matrix classes transforming one summable space into other Discusses several geometric properties of summable spaces Examines several possible generalizations of Orlicz sequence spaces

Darboux Transformations in Integrable Systems

Author : Chaohao Gu
Publisher : Springer Science & Business Media
ISBN 13 : 1402030886
Total Pages : 308 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Darboux Transformations in Integrable Systems by : Chaohao Gu

Download or read book Darboux Transformations in Integrable Systems written by Chaohao Gu and published by Springer Science & Business Media. This book was released on 2006-07-09 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential geometry. This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in multi-dimensional cases, can be elucidated clearly. The method covers a series of important equations such as various kinds of AKNS systems in R1+n, harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations to higher dimensional case, theory of line congruences in three dimensions or higher dimensional space etc. All these cases are explained in detail. This book contains many results that were obtained by the authors in the past few years. Audience: The book has been written for specialists, teachers and graduate students (or undergraduate students of higher grade) in mathematics and physics.

Mathematical Olympiad Challenges

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 1461221382
Total Pages : 270 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Olympiad Challenges by : Titu Andreescu

Download or read book Mathematical Olympiad Challenges written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-ended problems. Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem- solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops.