Topics In Geometry PDF Download
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| Author | : O. Bottema |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 142 |
| Release | : 2008-12-10 |
| Genre | : Mathematics |
| ISBN | : 0387781315 |
Download Topics in Elementary Geometry Book in PDF, ePub and Kindle
This small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.
| Author | : Robert Bix |
| Publisher | : Elsevier |
| Total Pages | : 549 |
| Release | : 2014-06-28 |
| Genre | : Mathematics |
| ISBN | : 1483296466 |
Download Topics in Geometry Book in PDF, ePub and Kindle
This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry. It includes plentiful illustrations and exercises in support of the thoroughly worked-out proofs. The author's emphasis on the connections between Euclidean and non-Euclidean geometry unifies the range of topics covered. The text opens with a brief review of elementary geometry before proceeding to advanced material. Topics covered include advanced Euclidean and non-Euclidean geometry, division ratios and triangles, transformation geometry, projective geometry, conic sections, and hyperbolic and absolute geometry. Topics in Geometry includes over 800 illustrations and extensive exercises of varying difficulty.
| Author | : Károly Bezdek |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 171 |
| Release | : 2010-06-23 |
| Genre | : Mathematics |
| ISBN | : 1441906002 |
Download Classical Topics in Discrete Geometry Book in PDF, ePub and Kindle
Geometry is a classical core part of mathematics which, with its birth, marked the beginning of the mathematical sciences. Thus, not surprisingly, geometry has played a key role in many important developments of mathematics in the past, as well as in present times. While focusing on modern mathematics, one has to emphasize the increasing role of discrete mathematics, or equivalently, the broad movement to establish discrete analogues of major components of mathematics. In this way, the works of a number of outstanding mathema- cians including H. S. M. Coxeter (Canada), C. A. Rogers (United Kingdom), and L. Fejes-T oth (Hungary) led to the new and fast developing eld called discrete geometry. One can brie y describe this branch of geometry as the study of discrete arrangements of geometric objects in Euclidean, as well as in non-Euclidean spaces. This, as a classical core part, also includes the theory of polytopes and tilings in addition to the theory of packing and covering. D- crete geometry is driven by problems often featuring a very clear visual and applied character. The solutions use a variety of methods of modern mat- matics, including convex and combinatorial geometry, coding theory, calculus of variations, di erential geometry, group theory, and topology, as well as geometric analysis and number theory.
| Author | : Peter W. Michor |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 510 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 0821820036 |
Download Topics in Differential Geometry Book in PDF, ePub and Kindle
"This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry. It gives the careful reader working knowledge in a wide range of topics of modern coordinate-free differential geometry in not too many pages. A prerequisite for using this book is a good knowledge of undergraduate analysis and linear algebra."--BOOK JACKET.
| Author | : Maria Moszynska |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 223 |
| Release | : 2006-11-24 |
| Genre | : Mathematics |
| ISBN | : 0817644512 |
Download Selected Topics in Convex Geometry Book in PDF, ePub and Kindle
Examines in detail those topics in convex geometry that are concerned with Euclidean space Enriched by numerous examples, illustrations, and exercises, with a good bibliography and index Requires only a basic knowledge of geometry, linear algebra, analysis, topology, and measure theory Can be used for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization
| Author | : Richard Rusczyk |
| Publisher | : Aops Incorporated |
| Total Pages | : 557 |
| Release | : 2007-07-01 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 9781934124086 |
Download Introduction to Geometry Book in PDF, ePub and Kindle
| Author | : Dan Pedoe |
| Publisher | : Courier Corporation |
| Total Pages | : 466 |
| Release | : 2013-04-02 |
| Genre | : Mathematics |
| ISBN | : 0486131734 |
Download Geometry: A Comprehensive Course Book in PDF, ePub and Kindle
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
| Author | : Tullio Ceccherini-Silberstein |
| Publisher | : Springer Nature |
| Total Pages | : 468 |
| Release | : 2022-01-01 |
| Genre | : Mathematics |
| ISBN | : 3030881091 |
Download Topics in Groups and Geometry Book in PDF, ePub and Kindle
This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov’s pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of groups, a detailed look at asymptotic cones, and a discussion of related subjects including filters and ultrafilters, dimension theory, hyperbolic geometry, amenability, the Burnside problem, and random walks on groups. The results are unified under the common theme of Gromov’s theorem, namely that finitely generated groups of polynomial growth are virtually nilpotent. This beautiful result gave birth to a fascinating new area of research which is still active today. The purpose of the book is to collect these naturally related results together in one place, most of which are scattered throughout the literature, some of them appearing here in book form for the first time. In this way, the connections between these topics are revealed, providing a pleasant introduction to geometric group theory based on ideas surrounding Gromov's theorem. The book will be of interest to mature undergraduate and graduate students in mathematics who are familiar with basic group theory and topology, and who wish to learn more about geometric, analytic, and probabilistic aspects of infinite groups.
| Author | : Z. A. Melzak |
| Publisher | : Courier Corporation |
| Total Pages | : 244 |
| Release | : 2014-01-15 |
| Genre | : Mathematics |
| ISBN | : 0486789489 |
Download Invitation to Geometry Book in PDF, ePub and Kindle
Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty.
| Author | : Sean Carroll |
| Publisher | : Penguin |
| Total Pages | : 305 |
| Release | : 2022-09-20 |
| Genre | : Science |
| ISBN | : 0593186583 |
Download The Biggest Ideas in the Universe Book in PDF, ePub and Kindle
INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.
