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Functions of One Complex Variable (Record no. 39072)

MARC details
000 -LEADER
fixed length control field	03610nam a2200253 a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN	9780387903286
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN	0387903283
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN	9783540903284
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN	3540903283
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN	9788185015378
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN	8185015376
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	515.9
Item number	CON
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name	Conway, John B.
245 ## - TITLE STATEMENT
Title	Functions of One Complex Variable
250 ## - EDITION STATEMENT
Edition statement	2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication	New Delhi:
Name of publisher	Narosa Pub.,
Year of publication	1980.
300 ## - PHYSICAL DESCRIPTION
Number of Pages	xiii, 317 pages :
Other physical details	illustrations ;
490 ## - SERIES STATEMENT
Series statement	Graduate texts in mathematics, 11.
500 ## - GENERAL NOTE
General note	Includes Index
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note	I. The Complex Number System.- 1. The real numbers.- 2. The field of complex numbers.- 3. The complex plane.- 4. Polar representation and roots of complex numbers.- 5. Lines and half planes in the complex plane.- 6. The extended plane and its spherical representation.- II. Metric Spaces and the Topology of ?.- 1. Definition and examples of metric spaces.- 2. Connectedness.- 3. Sequences and completeness.- 4. Compactness.- 5. Continuity.- 6. Uniform convergence.- III. Elementary Properties and Examples of Analytic Functions.- 1. Power series.- 2. Analytic functions.- 3. Analytic functions as mapping, Moebius transformations.- IV. Complex Integration.- 1. Riemann-Stieltjes integrals.- 2. Power series representation of analytic functions.- 3. Zeros of an analytic function.- 4. The index of a closed curve.- 5. Cauchy's Theorem and Integral Formula.- 6. The homotopic version of Cauchy's Theorem and simple connectivity.- 7. Counting zeros; the Open Mapping Theorem.- 8. Goursat's Theorem.- V. Singularities.- 1. Classification of singularities.- 2. Residues.- 3. The Argument Principle.- VI. The Maximum Modulus Theorem.- 1. The Maximum Principle.- 2. Schwarz's Lemma.- 3. Convex functions and Hadamard's Three Circles Theorem.- 4. Phragm>en-Lindel>uf Theorem.- VII. Compactness and Convergence in ihe Space of Analytic Functions.- 1. The space of continuous functions C(G, ?).- 2. Spaccs of analytic functions.- 3. Spaccs of meromorphic functions.- 4. The Riemann Mapping Theorem.- 5. Weierstrass Factorization Theorem.- 6. Factorization of the sine function.- $7. The gamma function.- 8. The Riemann zeta function.- VIII. Runge's Theorem.- 1. Runge's Theorem.- 2. Simple connectedness.- 3. Mittag-Leffler's Theorem.- IX. Analytic Continuation and Riemann Surfaces.- 1. Schwarz Reflection Principle.- $2. Analytic Continuation Along A Path.- 3. Monodromy Theorem.- 4. Topological Spaces and Neighborhood Systems.- $5. The Sheaf of Germs of Analytic Functions on an Open Set.- $6. Analytic Manifolds.- 7. Covering spaccs.- X. Harmonic Functions.- 1. Basic Properties of harmonic functions.- 2. Harmonic functions on a disk.- 3. Subharmonic and superharmonic functions.- 4. The Dirichlet Problem.- 5. Green's Functions.- XI. Entire Functions.- 1. Jensen's Formula.- 2. The genus and order of an entire function.- 3. Hadamard Factorization Theorem.- XII. The Range of an Analytic Function.- 1. Bloch's Theorem.- 2. The Little Picard Theorem.- 3. Schottky's Theorem.- 4. The Great Picard Theorem.- Appendix A: Calculus for Complex Valued Functions on an Interval.- Appendix B: Suggestions for Further Study and Bibliographical Notes.- References.- List of Symbols.
520 ## - SUMMARY, ETC.
Summary, etc	<br/>"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term	Functions of complex variables.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type	Reference Books

Holdings
Collection code	Home library	Current library	Shelving location	Date acquired	Source of acquisition	Cost, normal purchase price	Full call number	Accession Number	Koha item type
Reference	Main Library	Main Library	Reference	22/03/2005	Purchased	525.00	515.9 CON	009599	Reference Books