From XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX@xmr3.com Wed Sep 23 07:07:33 2009 Return-Path: Received: from memailout31.messagereach.com (memailout31.messagereach.com [205.183.255.242]) by smtp.XXXXXXX.XXX (8.14.3/8.14.3) with ESMTP id n8NE7SBu030270 for ; Wed, 23 Sep 2009 07:07:29 -0700 Received: from [205.183.255.207] ([205.183.255.207:60166] helo=memailoutr2.messagereach.com) by mrmailout2.xpedite.com (envelope-from ) (ecelerity 2.2.2.43 r(32041/32483)) with ESMTP id 69/CE-07424-0AB2ABA4; Wed, 23 Sep 2009 10:07:28 -0400 Date: Wed, 23 Sep 2009 10:07:26 -0400 To: XXX@XXXXXXX.XXX From: Mathematics Books from Elsevier Subject: Geometric Measure Theory, 4e Mime-Version: 1.0 Message-Id: Content-Type: multipart/alternative; boundary=MEboundary-2014593-6-1253656628 X-xsi-job: 2014593 X-xsi-user-id: mdr083 X-xsi-domain: usme X-Proofpoint-Virus-Version: vendor=fsecure engine=1.12.8161:2.4.5,1.2.40,4.0.166 definitions=2009-09-23_07:2009-09-22,2009-09-23,2009-09-23 signatures=0 X-Proofpoint-Spam-Details: rule=notspam policy=default score=0 spamscore=0 ipscore=0 phishscore=0 bulkscore=100 adultscore=0 classifier=spam adjust=0 reason=mlx engine=5.0.0-0908210000 definitions=main-0909230067 Status: O --MEboundary-2014593-6-1253656628 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: 7bit To display this email in a browser, please click here: http://pull.xmr3.com/p/XXXXXXXXX/XXXXXXXX/clickto1_XXXXXXXXXXXXXXXXXXXXXXXXXXXXX.html --------------------------------------------------------------------------- http://pull.xmr3.com/p/XXXXXXXXX/XXXXXXXX/clickto2_XXXXXXXXXXXXXXXXXXXXXXXXXXXXX.html Now Available for TEXTBOOK REVIEW Geometric Measure Theory: A Beginner's Guide, 4e http://pull.xmr3.com/p/XXXXXXXXX/XXXXXXXX/clickto4_ks.elsevier.com-XXXXXXXXXXXXX.html Frank Morgan Williams College, Williamstown, MA Available, Hardcover, 264 pp ISBN: 978-0-12-374444-9 List Price: $ 79.95 About: Geometric measure theory provides the framework to understand the structure of a crystal, a soap bubble cluster, or a universe. This fourth edition of Geometric Measure Theory: A Beginner's Guidehttp://pull.xmr3.com/p/XXXXXXXXX/XXXXXXXX/clickto5_ks.elsevier.com-XXXXXXXXXXXXX.html presents the student with an illustrated introduction to the basic ideas, terminology, and latest results on soap bubble clusters and double bubbles in spheres, tori, and Gauss space. This text also describes general manifolds with density and their relationship to Perelman's Paper on the Poincar? Conjecture. By way of the updates, new illustrations, new exercises and solutions, and new references, Morgan emphasizes geometry over proofs and technicalities to provide the most accessible introduction to the subject. Features: New to the 4th Edition: * Abundant illustrations, examples, exercises, and solutions * The latest results on soap bubble clusters, including a new chapter on "Double Bubbles in Spheres, Gauss Space, and Tori." * A new chapter on "Manifolds with Density and Perelman's Proof of the Poincar? Conjecture." Contents: Preface Chapter 1: Geometric Measure Theory Chapter 2: Measures Chapter 3: Lipschitz Functions and Rectifiable Sets Chapter 4: Normal and Rectifiable Currents Chapter 5: The Compactness Theorem and the Existence of Area-Minimizing Surfaces Chapter 6: Examples of Area-Minimizing Surfaces Chapter 7: The Approximation Theorem Chapter 8: Survey of Regularity Results Chapter 9: Monotonicity and Oriented Tangent Cones Chapter 10: The Regularity of Area-Minimizing Hypersurfaces Chapter 11: Flat Chains Modulo v, Varifolds, and (M,E,)-Minimal Sets Chapter 12: Miscellaneous Useful Results Chapter 13: Soap Bubble Clusters Chapter 14: Proof of Double Bubble Conjecture Chapter 15: The Hexagonal Honeycomb and Kelvin Conjectures Chapter 16: Immiscible Fluids and Crystals Chapter 17: Isoperimetric Theorems in General Codimension Chapter 18: Manifolds with Density and Perelman's Proof of the Poincar? Conjecture Chapter 19: Double Bubbles in Spheres, Gauss Space, and Tori Solutions to Exercises Bibliography Indices Register to request your exam copy TODAY at http://pull.xmr3.com/p/XXXXXXXXX/XXXXXXXX/http-textbooks.elsevier.com-.html or for more information about this and other mathematics and statistics textbooks, visit our website at http://pull.xmr3.com/p/XXXXXXXXX/XXXXXXXX/clickto7_lsevierdirect.com-mathematics.html http://pull.xmr3.com/p/XXXXXXXXX/XXXXXXXX/clickto8_XXXXXXXXXXXXXXXXXXXXXXXXXXXXX.html Mathematics Books from Elsevier 525 B Street Suite 1900 San Diego, CA 92101 This is a commercial message. --------------------------------------------------- If you would prefer not to receive further messages from this sender, please click on the following link and confirm your request: mailto:XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX@xmr3.com You will receive one additional e-mail message confirming your removal. --MEboundary-2014593-6-1253656628 Content-Type: text/html; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable   =20 =20 =20 =20 =20 =20 =20 =20 =20 =20 =20 =20 =20
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=

Geometric Measure Theory:
A Beginner's Guide, 4e=

Frank Morgan
Williams College, Williamstown, MA



=20


Available, Hardcover, 264 pp
ISBN: 978-0-12-374444-9
List Price: $ 79.95

=20

 "This book is unique in its format and exposition. Without it, i= t would be difficult to get in touch with the subject. It paves the way = to more advanced books. All other books on the market about this subject= are rather technical and difficult to read for an inexperienced student= ."
- Stefan Weng= er, Courant Institute of Math, New York University

Abo= ut
=20

Geometric measure theory provides the framework to understand the str= ucture of a crystal, a soap bubble cluster, or a universe. This fourth e= dition of Geo= metric Measure Theory: A Beginner's Guide presents the student with an illustrated introduction = to the basic ideas, terminology, and latest results on soap bubble clust= ers and double bubbles in spheres, tori, and Gauss space. This text also= describes general manifolds with density and their relationship to Pere= lman's Paper on the Poincar© Conjecture. By way of the updates, new= illustrations, new exercises and solutions, and new references, Morgan = emphasizes geometry over proofs and technicalities to provide the most a= ccessible introduction to the subject.

Features
=20

New to the 4th Edition:

    =20
  • The latest results on soap bubble clusters, including a new chapter = on "Double Bubbles in Spheres, Gauss Space, and Tori."=20
  • A new chapter on "Manifolds with Density and Perelman's Proof of the= Poincar© Conjecture."=20
  • Abundant illustrations, examples, exercises, and solutions
=20

&nb= sp;Contents

=20

Preface
Chapter   1: Geometric Measure Theory
Chapter   2: Measures
Chapter   3: Lipschitz Functions and Rectifiable Sets
Chapter   4: Normal and Rectifiable Currents
Chapter   5: The Compactness Theorem and the Existence of Area= -Minimizing Surfaces
Chapter   6: Examples of Area-Minimizing Surfaces
Chapter   7: The Approximation Theorem
Chapter   8: Survey of Regularity Results
Chapter   9: Monotonicity and Oriented Tangent Cones
Chapter 10: The Regularity of Area-Minimizing Hypersurfaces
Chapter 11: Flat Chains Modulo v, Varifolds, and (M,E,)-Minimal Sets
= Chapter 12: Miscellaneous Useful Results
Chapter 13: Soap Bubble Clusters
Chapter 14: Proof of Double Bubble Conjecture
Chapter 15: The Hexagonal Honeycomb and Kelvin Conjectures
Chapter 16: Immiscible Fluids and Crystals
Chapter 17: Isoperimetric Theorems in General Codimension
Chapter 18: Manifolds with Density and Perelman's Proof of the Poincar&c= opy; Conjecture
Chapter 19: Double Bubbles in Spheres, Gauss Space, and Tori
Solutions to Exercises
Bibliography
Indices

Register to request your exam copy TODAY at http://textbooks.elsevier.com or
for more information about this and other mathematics and statistics tex= tbooks,
visit our website at elsevierdirect.com/mathematics

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Mathematics Books from Elsevier
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