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Harmonic Mappings in the Plane (Cambridge Tracts in Mathema
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A book that does not look new and has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket (if applicable) included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See the seller’s listing for full details and description of any imperfections.
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eBay item number:145932983626
Item specifics
- Condition
- Book Title
- Harmonic Mappings in the Plane (Cambridge Tracts in Mathema
- ISBN
- 9780521641210
- Subject Area
- Mathematics
- Publication Name
- Harmonic Mappings in the Plane
- Publisher
- Cambridge University Press
- Item Length
- 9 in
- Subject
- Complex Analysis, Mathematical Analysis
- Publication Year
- 2004
- Series
- Cambridge Tracts in Mathematics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.6 in
- Item Weight
- 17.6 Oz
- Item Width
- 6 in
- Number of Pages
- 226 Pages
About this product
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521641217
ISBN-13
9780521641210
eBay Product ID (ePID)
1944952
Product Key Features
Number of Pages
226 Pages
Language
English
Publication Name
Harmonic Mappings in the Plane
Subject
Complex Analysis, Mathematical Analysis
Publication Year
2004
Type
Textbook
Subject Area
Mathematics
Series
Cambridge Tracts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.6 in
Item Weight
17.6 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2003-056516
Dewey Edition
22
Reviews
'This book is devoted to the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces.' Monatshefte f r Mathematik, 'Those who are sensible to the beauty of complex functions and Riemann surfaces will certainly enjoy reading this nicely written ... book.' Mathematical Geology, ‘For all students in this filed Duren's book will be essential reading. it will also be the classic reference book in this area.‘Proceedings of the Edinburgh Mathematical Society, 'This book is devoted to the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces.' Monatshefte für Mathematik, ‘This book is devoted to the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces.‘Monatshefte für Mathematik, 'Those who are sensible to the beauty of complex functions and Riemann surfaces will certainly enjoy reading this nicely written … book.' Mathematical Geology, 'For all students in this filed Duren's book will be essential reading. it will also be the classic reference book in this area.' Proceedings of the Edinburgh Mathematical Society, 'This book is devoted to the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces.' Monatshefte fr Mathematik
Series Volume Number
Series Number 156
Illustrated
Yes
Dewey Decimal
514/.74
Table Of Content
1. Preliminaries; 2. Local properties of harmonic mappings; 3. Harmonic mappings onto convex regions; 4. Harmonic self-mappings of the disk; 5. Harmonic univalent functions; 6. Extremal problems; 7. Mapping problems; 8. Additional topics; 9. Minimal surfaces; 10. Curvature of minimal surfaces; Appendix; References.
Synopsis
This first comprehensive account of the theory of planar harmonic mappings, meant for non-specialists, treats both the generalizations of univalent analytic functions and the connections with minimal surfaces. Included are background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation., Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy-Riemann equations. Harmonic mappings were studied classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been actively investigated by complex analysts as generalizations of univalent analytic functions, or conformal mappings. Many classical results of geometric function theory extend to harmonic mappings, but basic questions remain unresolved. This book is the first comprehensive account of the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. Essentially self-contained, the book contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation. It is designed to introduce non-specialists to a beautiful area of complex analysis and geometry., Many classical results of geometric function theory extend to harmonic mappings, but basic questions remain unresolved. This book is the first comprehensive account of the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. It contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation. It introduces non-specialists to a beautiful area of complex analysis and geometry.
LC Classification Number
QA614.73 .D87 2004
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- 2***c (445)- Feedback left by buyer.Past 6 monthsVerified purchaseFast shipping, excellent quality, just like the description, very well packaged, excellent price, looks great, Recommended Seller AAA+++Sabina en carne viva: Yo tambien se jugarme la boca (Spanis (#146493796676)
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Seller feedback (406)
- 2***c (445)- Feedback left by buyer.Past 6 monthsVerified purchaseFast shipping, excellent quality, just like the description, very well packaged, excellent price, looks great, Recommended Seller AAA+++Sabina en carne viva: Yo tambien se jugarme la boca (Spanis (#146493796676)
- a***s (117)- Feedback left by buyer.Past monthVerified purchaseShipped promptly in a safe package, arrived as described. Wonderful seller, would love to work with again!
- l***4 (2926)- Feedback left by buyer.Past 6 monthsVerified purchaseThis item was mailed promptly, arrived by the anticipated delivery date, and was exactly as described. Item was securely packaged and, as a result, was undamaged during shipment. Buyer appreciated the communication from the seller.Some Like It Cool: The Charmed Life of Jack Lemmon [Paperba (#145932988081)