Moduli in Modern Mapping Theory
Martio, Olli; Ryazanov, Vladimir; Srebro, Uri; Yakubov, Eduard
ISBN 10: 1441927557 ISBN 13: 9781441927552
Published by Springer-Verlag New York Inc., 2010
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Soft cover
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Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography. Series: Springer Monographs in Mathematics. Num Pages: 379 pages, 12 black & white illustrations, biography. BIC Classification: PBKB; PBKF. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 19. Weight in Grams: 581. . 2010. 1st ed. Softcover of orig. ed. 2009. Paperback. . . . . Seller Inventory # V9781441927552
Synopsis:
Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography.
From the Back Cover:
The purpose of this book is to present a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. The modulus method was initiated by Arne Beurling and Lars Ahlfors to study conformal mappings, and later this method was extended and enhanced by several others. The techniques are geometric and they have turned out to be an indispensable tool in the study of quasiconformal and quasiregular mappings as well as their generalizations. The book is based on recent research papers and extends the modulus method beyond the classical applications of the modulus techniques presented in many monographs.
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Bibliographic Details
Title: Moduli in Modern Mapping Theory
Publisher: Springer-Verlag New York Inc.
Publication Date: 2010
Binding: Soft cover
Condition: New
Edition: 1st Edition
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Moduli in Modern Mapping Theory (Paperback)
Published by
Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 1441927557
ISBN 13: 9781441927552
New
Paperback
First Edition
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. The purpose of this book is to present modern developments and applications of the techniques of modulus or extremal length of path families in the study of m- n pings in R , n? 2, and in metric spaces. The modulus method was initiated by Lars Ahlfors and Arne Beurling to study conformal mappings. Later this method was extended and enhanced by several other authors. The techniques are geom- ric and have turned out to be an indispensable tool in the study of quasiconformal and quasiregular mappings as well as their generalizations. The book is based on rather recent research papers and extends the modulus method beyond the classical applications of the modulus techniques presented in many monographs. Helsinki O. Martio Donetsk V. Ryazanov Haifa U. Srebro Holon E. Yakubov 2007 Contents 1 Introduction and Notation .1 2 Moduli and Capacity .7 2. 1 Introduction .7 2. 2 Moduli in Metric Spaces.7 2. 3 Conformal Modulus .11 2. 4 Geometric De nition for Quasiconformality .13 2. 5 Modulus Estimates .14 2. 6 Upper Gradients and ACC Functions .17 p n 2. 7 ACC Functions in R and Capacity.21 p 2. 8 Linear Dilatation .25 2. 9 Analytic De nition for Quasiconformality.31 n 2.10 R as a Loewner Space .34 2. 11 Quasisymmetry .40 3 Moduli and Domains .47 3. 1 Introduction .47 3. 2 QED Exceptional Sets .48 3. 3 QED Domains and Their Properties .52 3. 4 UniformandQuasicircleDomains . Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781441927552
Quantity: 1 available
Stock Image
Moduli in Modern Mapping Theory (Paperback)
Published by
Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 1441927557
ISBN 13: 9781441927552
New
Paperback
First Edition
Seller: AussieBookSeller, Truganina, VIC, Australia
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. The purpose of this book is to present modern developments and applications of the techniques of modulus or extremal length of path families in the study of m- n pings in R , n? 2, and in metric spaces. The modulus method was initiated by Lars Ahlfors and Arne Beurling to study conformal mappings. Later this method was extended and enhanced by several other authors. The techniques are geom- ric and have turned out to be an indispensable tool in the study of quasiconformal and quasiregular mappings as well as their generalizations. The book is based on rather recent research papers and extends the modulus method beyond the classical applications of the modulus techniques presented in many monographs. Helsinki O. Martio Donetsk V. Ryazanov Haifa U. Srebro Holon E. Yakubov 2007 Contents 1 Introduction and Notation .1 2 Moduli and Capacity .7 2. 1 Introduction .7 2. 2 Moduli in Metric Spaces.7 2. 3 Conformal Modulus .11 2. 4 Geometric De nition for Quasiconformality .13 2. 5 Modulus Estimates .14 2. 6 Upper Gradients and ACC Functions .17 p n 2. 7 ACC Functions in R and Capacity.21 p 2. 8 Linear Dilatation .25 2. 9 Analytic De nition for Quasiconformality.31 n 2.10 R as a Loewner Space .34 2. 11 Quasisymmetry .40 3 Moduli and Domains .47 3. 1 Introduction .47 3. 2 QED Exceptional Sets .48 3. 3 QED Domains and Their Properties .52 3. 4 UniformandQuasicircleDomains . Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9781441927552
Quantity: 1 available