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001 ocn795159430
003 OCoLC
005 20190405013648.2
006 m o d
007 cr cnu---unuuu
008 120202s2012 enk fob 001 0 eng d
019 794663464|a795318079|a801926483|a809313195|a817087132
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020 9781139424073|q(electronic book)
020 1139424076|q(electronic book)
020 9781139422031
020 1139422030
020 1139419986|q(electronic book)
020 9781139419987|q(electronic book)
020 1280685182
020 9781280685187
020 9781139105798|q(electronic book)
020 1139105795|q(electronic book)
020 |z9781107020641|q(hardback)
020 |z1107020646|q(hardback)
024 8 9786613662125
035 (OCoLC)795159430|z(OCoLC)794663464|z(OCoLC)795318079
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050 4 QA360
072 7 PBM|2bicssc
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072 7 MAT|x034000|2bisacsh
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090 QA360
100 1 Li, Peter,|d1952-|0https://id.loc.gov/authorities/names/
n2011085988|eauthor.
245 10 Geometric analysis /|cPeter Li.
264 1 Cambridge :|bCambridge University Press,|c2012.
300 1 online resource.
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
340 |gpolychrome|2rdacc
347 text file|2rdaft
490 1 Cambridge studies in advanced mathematics ;|v134
504 Includes bibliographical references and index.
505 0 Cover; CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS 134;
Geometric Analysis; CAMBRIDGE STUDIES IN ADVANCED
MATHEMATICS; Title; Copyright; Dedication; Contents;
Preface; 1 First and second variational formulas for area;
2 Volume comparison theorem; 3 Bochner-Weitzenböck
formulas; 4 Laplacian comparison theorem; 5 Poincaré
inequality and the first eigenvalue; 6 Gradient estimate
and Harnack inequality; 7 Mean value inequality; 8
Reilly's formula and applications; 9 Isoperimetric
inequalities and Sobolev inequalities; 10 The heat
equation; 11 Properties and estimates of the heat kernel.
520 The aim of this graduate-level text is to equip the reader
with the basic tools and techniques needed for research in
various areas of geometric analysis. Throughout, the main
theme is to present the interaction of partial
differential equations and differential geometry. More
specifically, emphasis is placed on how the behavior of
the solutions of a PDE is affected by the geometry of the
underlying manifold and vice versa. For efficiency the
author mainly restricts himself to the linear theory and
only a rudimentary background in Riemannian geometry and
partial differential equations is assumed. Originating
from the author's own lectures, this book is an ideal
introduction for graduate students, as well as a useful
reference for experts in the field.
588 0 Print version record.
590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic
Collection - North America
650 0 Geometric analysis.|0https://id.loc.gov/authorities/
subjects/sh2008008771
650 7 Geometric analysis.|2fast|0https://id.worldcat.org/fast/
1747051
655 4 Electronic books.
776 08 |iPrint version:|aLi, Peter, 1952-|tGeometric analysis.
|dCambridge : Cambridge University Press, 2012
|z9781107020641|w(DLC) 2011051365|w(OCoLC)774016638
830 0 Cambridge studies in advanced mathematics ;|0https://
id.loc.gov/authorities/names/n84708314|v134.
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
search.ebscohost.com/login.aspx?direct=true&scope=site&
db=nlebk&AN=451674|zOnline eBook via EBSCO. Access
restricted to current Rider University students, faculty,
and staff.
856 42 |3Instructions for reading/downloading the EBSCO version
of this eBook|uhttp://guides.rider.edu/ebooks/ebsco
901 MARCIVE 20231220
948 |d20190507|cEBSCO|tEBSCOebooksacademic NEW 4-5-19 7552
|lridw
994 92|bRID
