Euclidean Plane And Its Relatives
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Euclidean Plane And Its Relatives
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Author : Anton Petrunin
language : en
Publisher:
Release Date : 2019-12-24
Euclidean Plane And Its Relatives written by Anton Petrunin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-24 with categories.
The book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalist. List of topics: Euclidean geometry: The Axioms / Half-planes / Congruent triangles / Perpendicular lines / Similar triangles / Parallel lines / Triangle geometry. Inversive geometry: Inscribed angles / Inversion. Non-Euclidean geometry: Neutral plane / Hyperbolic plane / Geometry of h-plane. Additional topics: Affine geometry / Projective geometry / Spherical geometry / Projective model / Complex coordinates / Geometric constructions / Area.
Euclidean Plane And Its Relatives
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Author : Anton Petrunin
language : en
Publisher:
Release Date : 2017-08-07
Euclidean Plane And Its Relatives written by Anton Petrunin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-07 with categories.
The book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalist. List of topics: Euclidean geometry: The Axioms / Half-planes / Congruent triangles / Perpendicular lines / Parallel lines and similar triangles / Triangle geometry. Inversive geometry: Inscribed angles / Inversion. Non-Euclidean geometry: Neutral plane / Hyperbolic plane / Geometry of h-plane. Additional topics: Affine geometry / Projective geometry / Spherical geometry / Projective model / Complex coordinates / Geometric constructions / Area.
Euclidean Plane And Its Relatives
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Author :
language : en
Publisher:
Release Date :
Euclidean Plane And Its Relatives written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Euclidean Plane And Its Relatives
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Author : Anton Petrunin
language : en
Publisher:
Release Date : 2016-09-13
Euclidean Plane And Its Relatives written by Anton Petrunin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-13 with categories.
The book grew from my lecture notes. It is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalistic.
Two Dimensional Wavelets And Their Relatives
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Author : Jean-Pierre Antoine
language : en
Publisher: Cambridge University Press
Release Date : 2008-06-12
Two Dimensional Wavelets And Their Relatives written by Jean-Pierre Antoine 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 2008-06-12 with Technology & Engineering categories.
Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular for analysis of real-time signals. This book provides thorough and comprehensive treatment of 2-D wavelets, with extensive use of practical applications and illustrative examples throughout. For engineers, physicists and mathematicians.
Ramsey Theory
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Author : Alexander Soifer
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-29
Ramsey Theory written by Alexander Soifer 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 2010-10-29 with Mathematics categories.
This book explores the theory’s history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject; the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians alike.
Steiner Minimal Trees
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Author : Dietmar Cieslik
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Steiner Minimal Trees written by Dietmar Cieslik 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 2013-03-09 with Computers categories.
The problem of "Shortest Connectivity", which is discussed here, has a long and convoluted history. Many scientists from many fields as well as laymen have stepped on its stage. Usually, the problem is known as Steiner's Problem and it can be described more precisely in the following way: Given a finite set of points in a metric space, search for a network that connects these points with the shortest possible length. This shortest network must be a tree and is called a Steiner Minimal Tree (SMT). It may contain vertices different from the points which are to be connected. Such points are called Steiner points. Steiner's Problem seems disarmingly simple, but it is rich with possibilities and difficulties, even in the simplest case, the Euclidean plane. This is one of the reasons that an enormous volume of literature has been published, starting in 1 the seventeenth century and continuing until today. The difficulty is that we look for the shortest network overall. Minimum span ning networks have been well-studied and solved eompletely in the case where only the given points must be connected. The novelty of Steiner's Problem is that new points, the Steiner points, may be introduced so that an intercon necting network of all these points will be shorter. This also shows that it is impossible to solve the problem with combinatorial and geometric methods alone.
Graph Drawing And Network Visualization
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Author : Helen C. Purchase
language : en
Publisher: Springer Nature
Release Date : 2021-12-22
Graph Drawing And Network Visualization written by Helen C. Purchase and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-22 with Computers categories.
This book constitutes the proceedings of the 28th International Symposium on Graph Drawing and Network Visualization, GD 2021, which was held in Tübingen, Germany, during September 14-17, 2021. The 23 full papers and 5 short papers presented in these proceedings were carefully reviewed and selected from 74 submissions. The abstracts of 13 posters presented at the conference can be found in the back matter of the volume. The contributions were organized in topical sections as follows: Best Paper (Track 1: Combinatorial and Algorithmic Aspects); Best Paper (Track 2: Experimental, Applied, and Network Visualization Aspects); Crossing Minimization and Beyond-Planarity; Morphing and Graph Abstraction; Geometric Constraints; Topological and Upward Drawings; Linear Layouts; Contact and Visibility Representations; Geometric Aspects in Graph Drawing; AI applications; and Graph Drawing Contest Report.
Shortest Connectivity
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Author : Dietmar Cieslik
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-02
Shortest Connectivity written by Dietmar Cieslik 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 2006-06-02 with Business & Economics categories.
The aim in this graduate level text is to outline the key mathematical concepts that underpin these important questions in applied mathematics. These concepts involve discrete mathematics (particularly graph theory), optimization, computer science, and several ideas in biology.
Geometry For College Students
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Author : I. Martin Isaacs
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Geometry For College Students written by I. Martin Isaacs 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 2009 with Mathematics categories.
One of the challenges many mathematics students face occurs after they complete their study of basic calculus and linear algebra, and they start taking courses where they are expected to write proofs. Historically, students have been learning to think mathematically and to write proofs by studying Euclidean geometry. In the author's opinion, geometry is still the best way to make the transition from elementary to advanced mathematics. The book begins with a thorough review of high school geometry, then goes on to discuss special points associated with triangles, circles and certain associated lines, Ceva's theorem, vector techniques of proof, and compass-and-straightedge constructions. There is also some emphasis on proving numerical formulas like the laws of sines, cosines, and tangents, Stewart's theorem, Ptolemy's theorem, and the area formula of Heron. An important difference of this book from the majority of modern college geometry texts is that it avoids axiomatics. The students using this book have had very little experience with formal mathematics. Instead, the focus of the course and the book is on interesting theorems and on the techniques that can be used to prove them. This makes the book suitable to second- or third-year mathematics majors and also to secondary mathematics education majors, allowing the students to learn how to write proofs of mathematical results and, at the end, showing them what mathematics is really all about.