Geometry Of The Spectrum

Author : Anonim
Publisher : Carson-Dellosa Publishing
Page : 128 pages
File Size : 43,9 Mb
Release : 2015-02-15
Category : Juvenile Nonfiction
ISBN : 9781483824413

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Spectrum Algebra by Anonim Pdf

With the help of Spectrum Algebra for grades 6 to 8, your child develops problem-solving math skills they can build on. This standards-based workbook focuses on middle school algebra concepts like equalities, inequalities, factors, fractions, proportions, functions, and more. Middle school is known for its challenges—let Spectrum ease some stress. Developed by education experts, the Spectrum Middle School Math series strengthens the important home-to-school connection and prepares children for math success. Filled with easy instructions and rigorous practice, Spectrum Algebra helps children soar in a standards-based classroom!

Author : Nicolas Ginoux
Publisher : Springer
Page : 156 pages
File Size : 49,7 Mb
Release : 2009-05-30
Category : Mathematics
ISBN : 9783642015700

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The Dirac Spectrum by Nicolas Ginoux Pdf

This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, it presents the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries.

Author : Robert Brooks
Publisher : Unknown
Page : 0 pages
File Size : 50,8 Mb
Release : 1994
Category : Electronic
ISBN : OCLC:246874137

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Geometry of the spectrum by Robert Brooks Pdf

Author : Robert Brooks,Carolyn Gordon,Peter A. Perry
Publisher : American Mathematical Soc.
Page : 299 pages
File Size : 53,7 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821851852

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Geometry of the Spectrum by Robert Brooks,Carolyn Gordon,Peter A. Perry Pdf

Spectral geometry runs through much of contemporary mathematics, drawing on and stimulating developments in such diverse areas as Lie algebras, graph theory, group representation theory, and Riemannian geometry. The aim is to relate the spectrum of the Laplace operator or its graph-theoretic analogue, the adjacency matrix, to underlying geometric and topological data. This volume brings together papers presented at the AMS-IMS-SIAM Joint Summer Research Conference on Spectral Geometry, held in July 1993 at the University of Washington in Seattle. With contributions from some of the top experts in the field, this book presents an excellent overview of current developments in spectral geometry.

Author : Nicolas Ginoux
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 45,7 Mb
Release : 2009-06-11
Category : Mathematics
ISBN : 9783642015694

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The Dirac Spectrum by Nicolas Ginoux Pdf

This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, we present the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries. We give examples where the spectrum can be made explicit and present a chapter dealing with the non-compact setting. The methods mostly involve elementary analytical techniques and are therefore accessible for Master students entering the subject. A complete and updated list of references is also included.

Author : Jing Hua,Zichun Zhong
Publisher : Academic Press
Page : 152 pages
File Size : 43,8 Mb
Release : 2020-01-15
Category : Computers
ISBN : 9780128138427

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Spectral Geometry of Shapes by Jing Hua,Zichun Zhong Pdf

Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who have an interest in 3D shape analysis, shape motion analysis, image analysis, medical image analysis, computer vision and computer graphics. Due to the rapid advancement of 3D acquisition technologies there has been a big increase in 3D shape data that requires a variety of shape analysis methods, hence the need for this comprehensive resource. Presents the latest advances in spectral geometric processing for 3D shape analysis applications, such as shape classification, shape matching, medical imaging, etc. Provides intuitive links between fundamental geometric theories and real-world applications, thus bridging the gap between theory and practice Describes new theoretical breakthroughs in applying spectral methods for non-isometric motion analysis Gives insights for developing spectral geometry-based approaches for 3D shape analysis and deep learning of shape geometry

Author : Nicolas Bergeron
Publisher : Springer
Page : 375 pages
File Size : 48,7 Mb
Release : 2016-02-19
Category : Mathematics
ISBN : 9783319276663

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The Spectrum of Hyperbolic Surfaces by Nicolas Bergeron Pdf

This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called “arithmetic hyperbolic surfaces”, the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them. After an introduction to the hyperbolic geometry of surfaces, with a special emphasis on those of arithmetic type, and then an introduction to spectral analytic methods on the Laplace operator on these surfaces, the author develops the analogy between geometry (closed geodesics) and arithmetic (prime numbers) in proving the Selberg trace formula. Along with important number theoretic applications, the author exhibits applications of these tools to the spectral statistics of the Laplacian and the quantum unique ergodicity property. The latter refers to the arithmetic quantum unique ergodicity theorem, recently proved by Elon Lindenstrauss. The fruit of several graduate level courses at Orsay and Jussieu, The Spectrum of Hyperbolic Surfaces allows the reader to review an array of classical results and then to be led towards very active areas in modern mathematics.

Author : Strassburg
Publisher : Unknown
Page : 118 pages
File Size : 55,6 Mb
Release : 2021-12-17
Category : Electronic
ISBN : 1928538983

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Intuitive Geometry by Strassburg Pdf

The Intuitive Geometry method is a basic set of principles for using overlapping circles to create and design anything. The method includes the circle, square, triangle, hexagon, pentagon, spirals, waves, and scaling. The book includes the method with step by step instructions, step by step examples and artwork to showcase the method.

Author : Peter Buser
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 51,7 Mb
Release : 2010-10-29
Category : Mathematics
ISBN : 9780817649920

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Geometry and Spectra of Compact Riemann Surfaces by Peter Buser Pdf

This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature –1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces. Research workers and graduate students interested in compact Riemann surfaces will find here a number of useful tools and insights to apply to their investigations.

Author : Olivier Lablée
Publisher : Erich Schmidt Verlag GmbH & Co. KG
Page : 204 pages
File Size : 51,5 Mb
Release : 2015
Category : Linear operators
ISBN : 3037191511

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Spectral Theory in Riemannian Geometry by Olivier Lablée Pdf

Spectral theory is a diverse area of mathematics that derives its motivations, goals, and impetus from several sources. In particular, the spectral theory of the Laplacian on a compact Riemannian manifold is a central object in differential geometry. From a physical point a view, the Laplacian on a compact Riemannian manifold is a fundamental linear operator which describes numerous propagation phenomena: heat propagation, wave propagation, quantum dynamics, etc. Moreover, the spectrum of the Laplacian contains vast information about the geometry of the manifold. This book gives a self-contained introduction to spectral geometry on compact Riemannian manifolds. Starting with an overview of spectral theory on Hilbert spaces, the book proceeds to a description of the basic notions in Riemannian geometry. Then its makes its way to topics of main interests in spectral geometry. The topics presented include direct and inverse problems. Direct problems are concerned with computing or finding properties on the eigenvalues while the main issue in inverse problems is knowing the spectrum of the Laplacian, can we determine the geometry of the manifold? Addressed to students or young researchers, the present book is a first introduction to spectral theory applied to geometry. For readers interested in pursuing the subject further, this book will provide a basis for understanding principles, concepts, and developments of spectral geometry.

Author : Urakawa Hajime
Publisher : World Scientific
Page : 312 pages
File Size : 44,8 Mb
Release : 2017-06-02
Category : Mathematics
ISBN : 9789813109100

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Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian by Urakawa Hajime Pdf

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the Lichnerowicz–Obata's theorem on the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and Payne–Pólya–Weinberger's inequality of the Dirichlet eigenvalue of the Laplacian are also described. Then, the theorem of Colin de Verdière, that is, the spectrum determines the totality of all the lengths of closed geodesics is described. We give the V Guillemin and D Kazhdan's theorem which determines the Riemannian manifold of negative curvature.

Author : Chris Pritchard
Publisher : Cambridge University Press
Page : 572 pages
File Size : 45,8 Mb
Release : 2003-01-09
Category : Mathematics
ISBN : 0521531624

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The Changing Shape of Geometry by Chris Pritchard Pdf

Collection of popular articles on geometry from distinguished mathematicians and educationalists.

Author : Michel L. Lapidus,Machiel van Frankenhuysen
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 50,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461253143

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Fractal Geometry and Number Theory by Michel L. Lapidus,Machiel van Frankenhuysen Pdf

A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string. We refer the reader to [Berrl-2, Lapl-4, LapPol-3, LapMal-2, HeLapl-2] and the ref erences therein for further physical and mathematical motivations of this work. (Also see, in particular, Sections 7. 1, 10. 3 and 10. 4, along with Ap pendix B.) In Chapter 1, we introduce the basic object of our research, fractal strings (see [Lapl-3, LapPol-3, LapMal-2, HeLapl-2]). A 'standard fractal string' is a bounded open subset of the real line. Such a set is a disjoint union of open intervals, the lengths of which form a sequence which we assume to be infinite. Important information about the geometry of . c is contained in its geometric zeta function (c(8) = L lj. j=l 2 Introduction We assume throughout that this function has a suitable meromorphic ex tension. The central notion of this book, the complex dimensions of a fractal string . c, is defined as the poles of the meromorphic extension of (c.

Author : Spectrum
Publisher : Carson-Dellosa Publishing
Page : 164 pages
File Size : 55,5 Mb
Release : 2014-08-15
Category : Juvenile Nonfiction
ISBN : 9781483808734

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Spectrum Math Workbook, Grade 5 by Spectrum Pdf

Spectrum Math for grade 5 keeps kids at the top of their math game using progressive practice, math in everyday settings, and tests to monitor progress. The math workbook covers fractions, decimals, multiplication, division, and preparing for algebra. --A best-selling series for well over 15 years, Spectrum still leads the way because it works. It works for parents who want to give their child a leg up in math. It works for teachers who want their students to meetÑand surpassÑlearning goals. And it works to help children build confidence and advance their skills. No matter what subject or grade, Spectrum provides thorough practice and focused instruction to support student success.

Author : Michel Lapidus,Machiel van Frankenhuijsen
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 45,5 Mb
Release : 2006-08-10
Category : Mathematics
ISBN : 9780387332857

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Fractal Geometry, Complex Dimensions and Zeta Functions by Michel Lapidus,Machiel van Frankenhuijsen Pdf

Number theory, spectral geometry, and fractal geometry are interlinked in this study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. The Riemann hypothesis is given a natural geometric reformulation in context of vibrating fractal strings, and the book offers explicit formulas extended to apply to the geometric, spectral and dynamic zeta functions associated with a fractal.