Harmonic mappings in the plane (Record no. 1431549)

MARC details
000 -LEADER
fixed length control field 02065cam a22002534a 4500
001 - CONTROL NUMBER
control field 13250131
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250610111422.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 030624s2004 enka b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521641210
040 ## - CATALOGING SOURCE
Original cataloging agency CSL
Transcribing agency CSL
084 ## - COLON CLASSIFICATION NUMBER
Classification number B6: 3N P4;1 NBHM
Assigning agency CSL
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Duren, Peter L.,
Relator term author
245 10 - TITLE STATEMENT
Title Harmonic mappings in the plane
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Cambridge :
Name of publisher, distributor, etc. Cambridge University Press,
Date of publication, distribution, etc. 2004.
300 ## - PHYSICAL DESCRIPTION
Extent xii, 212 p. :
Other physical details ill. ;
Dimensions 24 cm.
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Cambridge tracts in mathematics ;
Volume/sequential designation 156
9 (RLIN) 812352
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references (p. 201-209) and index.
520 ## - SUMMARY, ETC.
Summary, etc. 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Harmonic maps.
9 (RLIN) 812353
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element General Properties of Harmonic Mappings
9 (RLIN) 812354
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Harmonic Univalent Functions
9 (RLIN) 812355
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Curvature of Minimal Surfaces
9 (RLIN) 812356
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Colon Classification (CC)
Suppress in OPAC No
Koha item type Textual
Classification part B6: 3N P4;1 NBHM
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Colon Classification (CC)     Central Science Library Faculty of Mathematical Sciences Library 2025-01-06 New India Book Agency   B6: 3N P4;1 NBHM SL16562195 2025-06-10 2025-06-10 Textual