Topics in Spectral Geometry | Agenda Bookshop Skip to content
Selected Colleen Hoover Books at €9.99c | In-store & Online
Selected Colleen Hoover Books at €9.99c | In-store & Online
A01=Dan Mangoubi
A01=Iosif Polterovich
A01=Michael Levitin
Age Group_Uncategorized
Age Group_Uncategorized
Author_Dan Mangoubi
Author_Iosif Polterovich
Author_Michael Levitin
automatic-update
Category1=Non-Fiction
Category=PBK
Category=PBKJ
Category=PBM
Category=PBP
COP=United States
Delivery_Delivery within 10-20 working days
Language_English
PA=Available
Price_€50 to €100
PS=Active
softlaunch

Topics in Spectral Geometry

It is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscillations of fluid in a container, can be described using the same differential operator, the Laplacian. Spectral data (i.e., eigenvalues and eigenfunctions) of the Laplacian depend in a subtle way on the geometry of the underlying object, e.g., a Euclidean domain or a Riemannian manifold, on which the operator is defined. This dependence, or, rather, the interplay between the geometry and the spectrum, is the main subject of spectral geometry. Its roots can be traced to Ernst Chladni's experiments with vibrating plates, Lord Rayleigh's theory of sound, and Mark Kac's celebrated question ``Can one hear the shape of a drum?'' In the second half of the twentieth century spectral geometry emerged as a separate branch of geometric analysis. Nowadays it is a rapidly developing area of mathematics, with close connections to other fields, such as differential geometry, mathematical physics, partial differential equations, number theory, dynamical systems, and numerical analysis. This book can be used for a graduate or an advanced undergraduate course on spectral geometry, starting from the basics but at the same time covering some of the exciting recent developments which can be explained without too many prerequisites. See more
Current price €87.39
Original price €91.99
Save 5%
A01=Dan MangoubiA01=Iosif PolterovichA01=Michael LevitinAge Group_UncategorizedAuthor_Dan MangoubiAuthor_Iosif PolterovichAuthor_Michael Levitinautomatic-updateCategory1=Non-FictionCategory=PBKCategory=PBKJCategory=PBMCategory=PBPCOP=United StatesDelivery_Delivery within 10-20 working daysLanguage_EnglishPA=AvailablePrice_€50 to €100PS=Activesoftlaunch
Delivery/Collection within 10-20 working days
Product Details
  • Publication Date: 01 Dec 2023
  • Publisher: American Mathematical Society
  • Publication City/Country: United States
  • Language: English
  • ISBN13: 9781470475482

About Dan MangoubiIosif PolterovichMichael Levitin

Michael Levitin University of Reading United Kingdom Dan Mangoubi The Hebrew University Jerusalem Israel and Iosif Polterovich Universite de Montreal QC Canada.

Customer Reviews

Be the first to write a review
0%
(0)
0%
(0)
0%
(0)
0%
(0)
0%
(0)
We use cookies to ensure that we give you the best experience on our website. If you continue we'll assume that you are understand this. Learn more
Accept