Geometry Vi
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Author | : M.M. Postnikov |
Publisher | : Springer Science & Business Media |
Total Pages | : 521 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 3662044331 |
This book treats that part of Riemannian geometry related to more classical topics in a very original, clear and solid style. The author successfully combines the co-ordinate and invariant approaches to differential geometry, giving the reader tools for practical calculations as well as a theoretical understanding of the subject.
Author | : Edward B. Burger |
Publisher | : |
Total Pages | : 752 |
Release | : 2020 |
Genre | : Algebra |
ISBN | : 9780358119395 |
Author | : Uta Freiberg |
Publisher | : Springer Nature |
Total Pages | : 307 |
Release | : 2021-03-23 |
Genre | : Mathematics |
ISBN | : 3030596494 |
This collection of contributions originates from the well-established conference series "Fractal Geometry and Stochastics" which brings together researchers from different fields using concepts and methods from fractal geometry. Carefully selected papers from keynote and invited speakers are included, both discussing exciting new trends and results and giving a gentle introduction to some recent developments. The topics covered include Assouad dimensions and their connection to analysis, multifractal properties of functions and measures, renewal theorems in dynamics, dimensions and topology of random discrete structures, self-similar trees, p-hyperbolicity, phase transitions from continuous to discrete scale invariance, scaling limits of stochastic processes, stemi-stable distributions and fractional differential equations, and diffusion limited aggregation. Representing a rich source of ideas and a good starting point for more advanced topics in fractal geometry, the volume will appeal to both established experts and newcomers.
Author | : Missouri. University |
Publisher | : |
Total Pages | : 976 |
Release | : 1891 |
Genre | : |
ISBN | : |
Author | : Henry John Stephen Smith |
Publisher | : CUP Archive |
Total Pages | : 160 |
Release | : 1965 |
Genre | : |
ISBN | : |
Author | : V. I. Arnold |
Publisher | : Cambridge University Press |
Total Pages | : 91 |
Release | : 2010-12-02 |
Genre | : Mathematics |
ISBN | : 1139493442 |
V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.
Author | : Vincenzo Ancona |
Publisher | : Springer Science & Business Media |
Total Pages | : 418 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 1475797710 |
The papers in this wide-ranging collection report on the results of investigations from a number of linked disciplines, including complex algebraic geometry, complex analytic geometry of manifolds and spaces, and complex differential geometry.
Author | : Nathalie Sinclair |
Publisher | : National Council of Teachers of English |
Total Pages | : 96 |
Release | : 2012-01 |
Genre | : Critical thinking |
ISBN | : 9780873536912 |
Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram—and why are all these names useful? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic.
Author | : Jordan Ellenberg |
Publisher | : Penguin |
Total Pages | : 481 |
Release | : 2021-05-25 |
Genre | : Mathematics |
ISBN | : 1984879065 |
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Author | : I. R. Porteous |
Publisher | : Cambridge University Press |
Total Pages | : 354 |
Release | : 2001-12-13 |
Genre | : Mathematics |
ISBN | : 9780521002646 |
This is a revised version of the popular Geometric Differentiation, first edition.