PirateBay Download | arabia introduction isospectrality 2022

arabia introduction isospectrality 2022

Type:: E-books
Files:: 1
Size:: 12.2 MB
Uploaded On:: Sept. 18, 2022, 12:58 p.m.
Added By:: andryold1
Seeders:: 0
Leechers:: 0
Info Hash:: 8229B0B591CE13358BECF9FF88006AB194583E56

Textbook in PDF format "Can one hear the shape of a drum?" This striking question, made famous by Mark Kac, conceals a precise mathematical problem, whose study led to sophisticated mathematics. This textbook presents the theory underlying the problem, for the first time in a form accessible to students. Specifically, this book provides a detailed presentation of Sunada's method and the construction of non-isometric yet isospectral drum membranes, as first discovered by Gordon–Webb–Wolpert. The book begins with an introductory chapter on Spectral Geometry, emphasizing isospectrality and providing a panoramic view (without proofs) of the Sunada–Bérard–Buser strategy. The rest of the book consists of three chapters. Chapter 2 gives an elementary treatment of flat surfaces and describes Buser's combinatorial method to construct a flat surface with a given group of isometries (a Buser surface). Chapter 3 proves the main isospectrality theorems and describes the transplantation technique on Buser surfaces. Chapter 4 builds Gordon–Webb–Wolpert domains from Buser surfaces and establishes their isospectrality. Richly illustrated and supported by four substantial appendices, this book is suitable for lecture courses to students having completed introductory graduate courses in algebra, analysis, differential geometry and topology. It also offers researchers an elegant, self-contained reference on the topic of isospectrality

Get This Torrent

Arabia A. Introduction to Isospectrality 2022.pdf 12.2 MB

Details for: Arabia A. Introduction to Isospectrality 2022

arabia introduction isospectrality 2022