The Infinite Regions of Various Geometries
Author : Maxime Bocher
Publisher :
Page : 72 pages
File Size : 47,77 MB
Release : 1914
Category :
ISBN :
Author : Maxime Bocher
Publisher :
Page : 72 pages
File Size : 47,77 MB
Release : 1914
Category :
ISBN :
Author : Julian Lowell Coolidge
Publisher :
Page : 252 pages
File Size : 19,89 MB
Release : 1924
Category : Collineation
ISBN :
Author : American Mathematical Society
Publisher :
Page : 660 pages
File Size : 13,72 MB
Release : 1915
Category : Mathematics
ISBN :
Author : Oswald Veblen
Publisher :
Page : 536 pages
File Size : 50,66 MB
Release : 1918
Category : Geometry, Projective
ISBN :
Author : Tsuruichi Hayashi
Publisher :
Page : 234 pages
File Size : 32,7 MB
Release : 1914
Category : Mathematics
ISBN :
Author :
Publisher :
Page : 592 pages
File Size : 17,32 MB
Release : 1914
Category : Mathematics
ISBN :
Author :
Publisher :
Page : 264 pages
File Size : 15,89 MB
Release : 1914
Category : Mathematics
ISBN :
Author : David Borthwick
Publisher : Birkhäuser
Page : 471 pages
File Size : 20,11 MB
Release : 2016-07-12
Category : Mathematics
ISBN : 3319338773
This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general surfaces with hyperbolic ends, which provides a natural setting for development of the spectral theory while still keeping technical difficulties to a minimum. All of the material from the first edition is included and updated, and new sections have been added. Topics covered include an introduction to the geometry of hyperbolic surfaces, analysis of the resolvent of the Laplacian, scattering theory, resonances and scattering poles, the Selberg zeta function, the Poisson formula, distribution of resonances, the inverse scattering problem, Patterson-Sullivan theory, and the dynamical approach to the zeta function. The new sections cover the latest developments in the field, including the spectral gap, resonance asymptotics near the critical line, and sharp geometric constants for resonance bounds. A new chapter introduces recently developed techniques for resonance calculation that illuminate the existing results and conjectures on resonance distribution. The spectral theory of hyperbolic surfaces is a point of intersection for a great variety of areas, including quantum physics, discrete groups, differential geometry, number theory, complex analysis, and ergodic theory. This book will serve as a valuable resource for graduate students and researchers from these and other related fields. Review of the first edition: "The exposition is very clear and thorough, and essentially self-contained; the proofs are detailed...The book gathers together some material which is not always easily available in the literature...To conclude, the book is certainly at a level accessible to graduate students and researchers from a rather large range of fields. Clearly, the reader...would certainly benefit greatly from it." (Colin Guillarmou, Mathematical Reviews, Issue 2008 h)
Author : John Michels (Journalist)
Publisher :
Page : 978 pages
File Size : 17,64 MB
Release : 1914
Category : Science
ISBN :
Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 11,98 MB
Release : 2018-07-30
Category :
ISBN : 9781724572639
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.