Description: Fractal Geometry, Complex Dimensions and Zeta Functions by Michel L. Lapidus, Machiel van Frankenhuijsen Estimated delivery 3-12 business days Format Hardcover Condition Brand New Description In its Second Edition, this in-depth study of the vibrations of fractal strings interlinks number theory, spectral geometry and fractal geometry. Includes a geometric reformulation of the Riemann hypothesis and a new final chapter on recent topics and results. Publisher Description Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.Key Features of this Second Edition:The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal stringsComplex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectraExplicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractalExamples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formulaThe method of Diophantine approximation is used to study self-similar strings and flows Analytical and geometric methodsare used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functionsThroughout, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.The significant studies and problems illuminated in this work may be used in a classroom setting at the graduate level. Fractal Geometry, Complex Dimensions and Zeta Functions, Second Edition will appeal to students and researchers in number theory, fractal geometry, dynamical systems, spectral geometry, and mathematical physics. Author Biography Lapidus, University of California, Riverside. Details ISBN 1461421756 ISBN-13 9781461421757 Title Fractal Geometry, Complex Dimensions and Zeta Functions Author Michel L. Lapidus, Machiel van Frankenhuijsen Format Hardcover Year 2012 Pages 570 Edition 2nd Publisher Springer-Verlag New York Inc. GE_Item_ID:140303239; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys
Price: 176.91 USD
Location: Fairfield, Ohio
End Time: 2024-10-28T02:38:45.000Z
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Restocking Fee: No
Return shipping will be paid by: Buyer
All returns accepted: Returns Accepted
Item must be returned within: 30 Days
Refund will be given as: Money Back
ISBN-13: 9781461421757
Book Title: Fractal Geometry, Complex Dimensions and Zeta Functions
Number of Pages: Xxvi, 570 Pages
Publication Name: Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectra of Fractal Strings
Language: English
Publisher: Springer New York
Publication Year: 2012
Subject: Geometry / Non-Euclidean, Differential Equations / General, Functional Analysis, Geometry / General, Number Theory, Mathematical Analysis
Item Weight: 356.5 Oz
Type: Textbook
Subject Area: Mathematics
Author: Machiel Van Frankenhuijsen, Michel L. Lapidus
Item Length: 9.3 in
Series: Springer Monographs in Mathematics Ser.
Item Width: 6.1 in
Format: Hardcover
