Beautiful Geometry


Author: Eli Maor,Eugen Jost

Publisher: Princeton University Press

ISBN: 1400848334

Category: Mathematics

Page: 208

View: 9996

If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.

Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries


Author: Paulus Gerdes


ISBN: 1435726294


Page: 202

View: 7936

The book "Lunda Geometry" explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author's research of 'sona', illustrations traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed.Several chapters were published in journals like 'Computers & Graphics' (Oxford), 'Visual Mathematics' (Belgrade), and 'Mathematics in School' (UK).

Matroids: A Geometric Introduction


Author: Gary Gordon,Jennifer McNulty

Publisher: Cambridge University Press

ISBN: 0521145686

Category: Language Arts & Disciplines

Page: 393

View: 2945

This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.

Birational Geometry, Rational Curves, and Arithmetic


Author: Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel

Publisher: Springer Science & Business Media

ISBN: 146146482X

Category: Mathematics

Page: 319

View: 3384

​​​​This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines and conics. From the modern standpoint, arithmetic is the study of rational and integral points on algebraic varieties over nonclosed fields. A major insight of the 20th century was that arithmetic properties of an algebraic variety are tightly linked to the geometry of rational curves on the variety and how they vary in families. This collection of solicited survey and research papers is intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems. Topics that will be addressed include: birational properties such as rationality, unirationality, and rational connectedness, existence of rational curves in prescribed homology classes, cones of rational curves on rationally connected and Calabi-Yau varieties, as well as related questions within the framework of the Minimal Model Program.

Models of the Real Projective Plane

Computer Graphics of Steiner and Boy Surfaces


Author: Francois Apery

Publisher: Springer-Verlag

ISBN: 3322895696

Category: Technology & Engineering

Page: 156

View: 7180

In the present time, objects generated by computers are replacing models made from wood, wire, and plaster. It is interesting to see how computer graphics can help us to understand the geometry of surfaces and illustrate some recent results on representations of the real projective plane.

The Natural philosophy of Emanuel Swedenborg

A Study in the Conceptual Metaphors of the Mechanistic World-View


Author: David Duner

Publisher: Springer Science & Business Media

ISBN: 9400745605

Category: Philosophy

Page: 476

View: 2396

Although Emanuel Swedenborg (1688–1772) is commonly known for his spiritual philosophy, his early career was focused unnatural science. During this period, Swedenborg thought of the world was like a gigantic machine, following the laws of mechanics and geometry. This volume analyzes this mechanistic worldview from the cognitive perspective, by means of a study of the metaphors in Swedenborg’s texts. The author argues that these conceptual metaphors are vital skills of the creative mind and scientific thinking, used to create visual analogies and abstract ideas. This means that Swedenborg’s mechanistic and geometrical worldview, allowed him to perceive the world as mechanical and geometrical. Swedenborg thought ”with” books and pens. The reading gave him associations and clues, forced him to interpret, and gave him material for his intellectual development.

Classical Algebraic Geometry

A Modern View


Author: Igor V. Dolgachev

Publisher: Cambridge University Press

ISBN: 1107017653

Category: Mathematics

Page: 639

View: 5170

Makes classical algebraic geometry accessible to the modern mathematician.

Some Adventures in Euclidean Geometry


Author: Michael de Villiers

Publisher: Dynamic Mathematics Learning

ISBN: 0557102952

Category: Euclid's Elements

Page: 219

View: 2980

This book seeks to actively involve the reader in the heuristic processes of conjecturing, discovering, formulating, classifying, defining, refuting, proving, etc. within the context of Euclidean geometry. The book deals with many interesting and beautiful geometric results, which have only been discovered during the past 300 years such as the Euler line, the theorems of Ceva, Napoleon, Morley, Miquel, Varignon, etc. Extensive attention is also given to the classification of the quadrilaterals from the symmetry of a side-angle duality. Many examples lend themselves excellently for exploration on computer with dynamic geometry programs such as Sketchpad. The book is addressed primarily to university or college lecturers involved in the under-graduate or in-service training of high school mathematics teachers, but may also interest teachers who are looking for enrichment material, and gifted high school mathematics pupils.

2019 Monthly Planner

Schedule Organizer Beautiful Geometric Style Background Cover Monthly and Weekly Calendar to Do List Top Goal and Focus


Author: Victoria Mann

Publisher: Planner

ISBN: 9781728820309

Category: Cooking

Page: 200

View: 5813

This 2019 Monthly Planner provides 12 months worth of weekly and daily calendars from January 2019 to December 2019, more space for Goal, Daily schedule, Appointment, To do list and notes. Created and printed in the USA, each book features premium grade interior paper that can stand up to any marker or pen. The elegant, modern cover will look lovely on top of your desk or in your backpack. Features: Stylish Beautiful Composition with geometric style cover Printed in the USA Perfectly sized at 8.5" x 11" 12 months: January-December 2019 You can use for personal, work, to do list, small diary for note of the day and all purposes. Monthly and Weekly Action plan One month per each two page spread with unruled daily blocks. Printed on quality paper. Light weight. Easy to carry around. Best for Black Friday, Cyber Monday, Thanksgiving, Christmas gift and New Year gift. Everyone need to have the best planner since the first of the year.Give it for yourself friends family and co-worker and Have a great year together.

Riemannian Geometry


Author: Sylvestre Gallot,Dominique Hulin,Jacques Lafontaine

Publisher: Springer Science & Business Media

ISBN: 9783540204930

Category: Mathematics

Page: 322

View: 9184

Many years have passed since the ?rst edition. However, the encouragements of various readers and friends have persuaded us to write this third edition. During these years, Riemannian Geometry has undergone many dramatic - velopments. Here is not the place to relate them. The reader can consult for instance the recent book [Br5]. of our “mentor” Marcel Berger. However,R- mannian Geometry is not only a fascinating ?eld in itself. It has proved to be a precious tool in other parts of mathematics. In this respect, we can quote the major breakthroughs in four-dimensional topology which occurred in the eighties and the nineties of the last century (see for instance [L2]). These have been followed, quite recently, by a possibly successful approach to the Poincar ́ e conjecture. In another direction, Geometric Group Theory, a very active ?eld nowadays (cf. [Gr6]), borrows many ideas from Riemannian or metric geometry. Butletusstophoggingthelimelight.Thisisjustatextbook.Wehopethatour point of view of working intrinsically with manifolds as early as possible, and testingeverynewnotiononaseriesofrecurrentexamples(seetheintroduction to the ?rst edition for a detailed description), can be useful both to beginners and to mathematicians from other ?elds, wanting to acquire some feeling for the subject.

Computer Graphics and Geometric Modelling



Author: Max K. Agoston

Publisher: Springer Science & Business Media

ISBN: 9781852338176

Category: Computers

Page: 959

View: 2840

The second book of a two-volume work in which the author presents an overview of computer graphics as seen in the context of geometric modeling and the mathematics required to understand the subject.

The Geometry of Syzygies

A Second Course in Algebraic Geometry and Commutative Algebra


Author: David Eisenbud

Publisher: Springer Science & Business Media

ISBN: 0387264566

Category: Mathematics

Page: 246

View: 6455

First textbook-level account of basic examples and techniques in this area. Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author.

Flavors of Geometry


Author: Silvio Levy

Publisher: Cambridge University Press

ISBN: 9780521629621

Category: Mathematics

Page: 194

View: 5439

Lectures on hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation.

Advances in Analysis and Geometry

New Developments Using Clifford Algebras


Author: Tao Qian,Thomas Hempfling,Alan McIntosh,Franciscus Sommen

Publisher: Birkhäuser

ISBN: 3034878389

Category: Mathematics

Page: 376

View: 1770

At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.

Non-Euclidean Geometries

János Bolyai Memorial Volume


Author: András Prékopa,Emil Molnár

Publisher: Springer Science & Business Media

ISBN: 0387295550

Category: Mathematics

Page: 506

View: 1364

"From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and the co-discoverer, the Russian Lobachevskii, changed the course of mathematics, opened the way for modern physical theories of the twentieth century, and had an impact on the history of human culture. The papers in this volume, which commemorates the 200th anniversary of the birth of János Bolyai, were written by leading scientists of non-Euclidean geometry, its history, and its applications. Some of the papers present new discoveries about the life and works of János Bolyai and the history of non-Euclidean geometry, others deal with geometrical axiomatics; polyhedra; fractals; hyperbolic, Riemannian and discrete geometry; tilings; visualization; and applications in physics.

The Beautiful Necessity

Seven Essays on Theosophy and Architecture


Author: Claude Fayette Bragdon

Publisher: Library of Alexandria

ISBN: 1465503129

Category: Architecture

Page: 111

View: 8938

The Beautiful Necessity, Seven Essays on Theosophy and Architecture


Author: Claude Bragdon

Publisher: Cosimo, Inc.

ISBN: 1596053585

Category: Architecture

Page: 116

View: 9616

More and more science is coming to recognize, what theosophy affirms, that the spiral vortex... both in its time and its space aspects is the universal archetype... -from "Changeless Change" First published in 1910 and updated in 1922-this is a reproduction of that second edition-this is architect and theosophist Claude Bragdon's exploration of art as an "expression of the cosmic life." And what a glorious exploration is it. The essay titles hint at the lyricism of Bragdon's prose: "The Art of Architecture" "Unity and Polarity" "Changeless Change" "The Bodily Temple" "Latent Geometry" "The Arithmetic of Beauty" "Frozen Music" Accompanied by lovely and informative line drawings, these essays constitute a master class in the philosophy of art, beauty, science, and the intersection of all three. Other works by Bragdon available from Cosimo Classics: More Lives Than One, Architecture and Democracy, Episodes from An Unwritten History, and A Primer of Higher Space (The Fourth Dimension). American architect, stage designer, and writer CLAUDE FAYETTE BRAGDON (1866-1946) helped found the Rochester Architectural Club, in the city where he made his greatest mark as a building designer with structures including Rochester Central Station, Rochester Institute of Technology, and the First Universalist Church; he also designed Peterborough Bridge in Ontario. In later life, Bragdon worked on Broadway as scenic designer for 1930s productions of Cyrano de Bergerac and Hamlet, among others.

Das BUCH der Beweise


Author: Martin Aigner,Günter M. Ziegler

Publisher: Springer-Verlag

ISBN: 3662064545

Category: Mathematics

Page: 247

View: 1459

Die elegantesten mathematischen Beweise, spannend und für jeden Interessierten verständlich. "Der Beweis selbst, seine Ästhetik, seine Pointe geht ins Geschichtsbuch der Königin der Wissenschaften ein. Ihre Anmut offenbart sich in dem gelungenen und geschickt illustrierten Buch." Die Zeit