The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra read ing material for students on their own. A large number of routine exer cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
"The very understandable style of explanation, which is typical for this author, makes the book valuable for both students and teachers."
EMS Newsletter, Vol. 37, Sept. 2000
Fourth Edition
S. Lang
Complex Analysis
"A highly recommendable book for a two semester course on complex analysis."
―ZENTRALBLATTMATH
I: BASIC THEORY. 1: Complex Numbers and Functions. 2: Power Series. 3: Cauchy's Theorem, First Part. 4: Winding Numbers and Cauchy's Theorem. 5: Applications of Cauchy's Integral Formula. 6: Calculus of Residues. 7: Conformal Mappings. 8: Harmonic Functions. II: GEOMETRIC FUNCTION THEORY. 9: Schwarz Reflection. 10: The Riemann Mapping Theorem. 11: Analytic Continuation Along Curves. III: VARIOUS ANALYTIC TOPICS. 12: Applications of the Maximum Modulus Principle and Jensen's Formula. 13: Entire and Meromorphic Functions. 14: Elliptic Functions. 15: The Gamma and Zeta Functions. 16: The Prime Number Theorem.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Da: Thomas F. Pesce, Garden Grove, CA, U.S.A.
Hardcover. Condizione: As New. 4th Edition. Now In Its Fourth Edition, The First Part Of This Book Is Devoted To The Basic Material Of Complex Analysis, While The Second Covers Many Special Topics, Such As The Riemann Mapping Theorem, The Gamma Function, And Analytic Continuation. Power Series Methods Are Used More Systematically Than Is Found In Other Texts, And The Resulting Proofs Often Shed More Light On The Results Than The Standard Proofs. While The First Part Is Suitable For An Introductory Course At Undergraduate Level, The Additional Topics Covered In The Second Part Give The Instructor Of A Graduate Course A Great Deal Of Flexibility In Structuring A More Advanced Course. Codice articolo Fh4903
Quantità: 1 disponibili
Da: Twice Sold Tales, Capitol Hill, Seattle, WA, U.S.A.
Hardcover, 485 pages. Condizione: Very good. Fourth edition. Light wear and soiling to glossy pictorial boards, corners slightly bumped. Light soiling to text block edges. Pages appear free of writing / highlighting. Codice articolo 11834
Quantità: 1 disponibili
Da: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Hardback. Condizione: Very Good. This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. Codice articolo 00107623943
Quantità: 2 disponibili
Da: New Legacy Books, Annandale, NJ, U.S.A.
Hardcover. Condizione: Good. 4th. The cover shows normal wear. Fast shipping and order satisfaction guaranteed. A portion of your purchase benefits Non-Profit Organizations, First Aid and Fire Stations! Codice articolo mon-ug-0387985921
Quantità: 1 disponibili
Da: World of Books Inc, Montgomery, IL, U.S.A.
Hardback. Condizione: Very Good. This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. Codice articolo CIN0387985921VG
Quantità: 2 disponibili
Da: Textbooks_Source, Columbia, MO, U.S.A.
Hardcover. Condizione: Good. 4th. Ships same day or next business day! UPS shipping available (Priority Mail for AK/HI/APO/PO Boxes). Used sticker and some writing and/or highlighting. Used books may not include working access code. Used books will not include dust jackets. Codice articolo 000395769U
Quantità: 1 disponibili
Da: HPB-Red, Dallas, TX, U.S.A.
Hardcover. Condizione: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Codice articolo S_463720208
Quantità: 1 disponibili
Da: Big River Books, Powder Springs, GA, U.S.A.
Condizione: good. This book is in good condition. The cover has minor creases or bends. The binding is tight and pages are intact. Some pages may have writing or highlighting. Codice articolo BRV.0387985921.G
Quantità: 1 disponibili
Da: BooksRun, Philadelphia, PA, U.S.A.
Hardcover. Condizione: Very Good. 4th. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Codice articolo 0387985921-9-1-NAU
Quantità: 1 disponibili
Da: BooksRun, Philadelphia, PA, U.S.A.
Hardcover. Condizione: New. 4th. The item is brand new, never used or read. It's in perfect condition and may include supplements and/or access codes or come shrink-wrapped. Codice articolo 0387985921-9-1
Quantità: 1 disponibili