From Holomorphic Functions to Complex Manifolds (Graduate Texts in Mathematics)

Valutazione media 4,5
( su 2 valutazioni fornite da Goodreads )
 
9780387953953: From Holomorphic Functions to Complex Manifolds (Graduate Texts in Mathematics)

This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

From the Back Cover:

This book is an introduction to the theory of complex manifolds. The author's intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible. Therefore, the abstract concepts involving sheaves, coherence, and higher-dimensional cohomology have been completely avoided. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Nevertheless, deep results can be proved, for example the Remmert-Stein theorem for analytic sets, finiteness theorems for spaces of cross sections in holomorphic vector bundles, and the solution of the Levi problem. Each chapter is complemented by a variety of examples and exercises. The only prerequisite needed to read this book is a knowledge of real analysis and some basic facts from algebra, topology, and the theory of one complex variable. The book can be used as a first introduction to several complex variables as well as a reference for the expert.
Klaus Fritzsche received his PhD from the University of Göttingen in 1975, under the direction of Professor Hans Grauert. Since 1984, he has been Professor of Mathematics at the University of Wuppertal, where he has been investigating convexity problems on complex spaces and teaching undergraduate and graduate courses on Real and Complex Analysis. Hans Grauert studied physics and mathematics in Mainz, Münster and Zürich. He received his PhD in mathematics from the University of Münster and in 1959 he became a full professor at the University of Göttingen. Professor Grauert is responsible for many important developments in mathematics in the Twentieth Century. Along with Reinhold Remmert, Karl Stein and Henri Cartan, he founded the theory of Several Complex Variables in its modern form. He also proved various important theorems, including Levi's Problem and the coherence of higher direct image sheaves. Professor Grauert is the author of 10 books and his Selected Papers was published by Springer in 1994.

Review:

From the reviews:

MATHEMATICAL REVIEWS

"This new book is a valuable addition to the literature."

K. Fritzsche and H. Grauert

From Holomorphic Functions to Complex Manifolds

"A valuable addition to the literature."―MATHEMATICAL REVIEW

"The book is a nice introduction to the theory of complex manifolds. The authors’ intention is to introduce the reader in a simple way to the most important branches and methods in the theory of several complex variables. ... The book is written in a very readable way; it is a nice introduction into the topic." (EMS, March 2004)

"About 25 years ago, the same couple of authors published the forerunner of this work with the title Several Complex Variables ... . The experience of forty years of active teaching besides the well-known research career resulted in an admirably well readable simple clean and polished style. ... I find this book of extraordinary importance and I recommend it to all students, teachers and researchers in mathematics and even in physics as well." (László L. Stachó, Acta Scientarum Mathematicarum, Vol. 69, 2003)

"This book gives an easily understandable introduction to the theory of complex manifolds. It is self-contained ... and leads to deep results such as the Remmert-Stein theorem for analytic sets, finiteness theorems for spaces of cross sections in holomorphic vector bundles, and the solution if the Levi problem, using only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles." (F. Haslinger, Monatshefte für Mathematik, Vol. 142 (3), 2004)

"The book is an essentially extended and modified version of the classical monograph 'Several complex variables' by the same authors. ... The monograph is strongly recommended to everybody interested in modern complex analysis, both for students and researchers." (Marek Jarnicki, Zentralblatt MATH, Vol. 1005, 2003)

"The authors state that this book ‘grew out of’ their earlier graduate textbook [Several complex variables, Translated from the German, Springer, New York, 1976; MR 54 # 3004]. The book should not, however, be thought of as merely a second edition. ... Where the two books do overlap in content, the exposition in the new volume has been largely rewritten. This new book is a valuable addition to the literature." (Harold P. Boas, Mathematical Reviews, 2003 g)

"This book is an introduction to the theory of complex manifolds. The authors’ intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible. ... The book can be used as a first introduction to several complex variables as well as a reference for the expert." (L’ENSEIGNEMENT MATHEMATHIQUE, Vol. 48 (3-4), 2002)

"Due to its interior unity and its many-sided applicability, Complex Analysis became an absolutely essential part of today’s Mathematics. ... It is a merit of the authors that their book is an introduction into holomorphic functions of several complex variables which is easily understandable. ... K. Fritzsche’s and H. Grauert’s book will give a fresh impetus not only to mathematicians who are interested in holomorphic functions in several complex variables but also to those who deal with generalized multi-regular functions." (W. Tutschke, ZAA, Vol. 22 (1), 2003)

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Klaus Fritzsche, Hans Grauert
Editore: Springer-Verlag New York Inc., United States (2002)
ISBN 10: 0387953957 ISBN 13: 9780387953953
Nuovi Rilegato Quantità: 10
Da
Book Depository hard to find
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., United States, 2002. Hardback. Condizione libro: New. 2002.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises. Codice libro della libreria LIE9780387953953

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 78,66
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

2.

Klaus Fritzsche
Editore: Springer-Verlag New York Inc. (2002)
ISBN 10: 0387953957 ISBN 13: 9780387953953
Nuovi Quantità: > 20
Print on Demand
Da
Pbshop
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., 2002. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780387953953

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 80,37
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,36
In U.S.A.
Destinazione, tempi e costi

3.

KLAUS FRITZSCHE
Editore: Springer (2002)
ISBN 10: 0387953957 ISBN 13: 9780387953953
Nuovi Rilegato Quantità: 1
Da
Herb Tandree Philosophy Books
(Stroud, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer, 2002. Hardback. Condizione libro: NEW. 9780387953953 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0275912

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 74,90
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 9,09
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

4.

Fritzsche, Klaus
Editore: Springer (2016)
ISBN 10: 0387953957 ISBN 13: 9780387953953
Nuovi Paperback Quantità: 1
Print on Demand
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780387953953_lsuk

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 79,67
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 4,40
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

Fritzsche, Klaus
Editore: Springer-Verlag New York Inc. (2002)
ISBN 10: 0387953957 ISBN 13: 9780387953953
Nuovi Quantità: > 20
Print on Demand
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., 2002. HRD. Condizione libro: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Codice libro della libreria IP-9780387953953

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 75,39
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,23
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

6.

Klaus Fritzsche, Hans Grauert
Editore: Springer-Verlag New York Inc., United States (2002)
ISBN 10: 0387953957 ISBN 13: 9780387953953
Nuovi Rilegato Quantità: 10
Print on Demand
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., United States, 2002. Hardback. Condizione libro: New. 2002.. Language: English . Brand New Book ***** Print on Demand *****.This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises. Codice libro della libreria APC9780387953953

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 96,10
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

7.

Klaus Fritzsche; Hans Grauert
Editore: Springer (2002)
ISBN 10: 0387953957 ISBN 13: 9780387953953
Nuovi Rilegato Quantità: 15
Print on Demand
Da
Valutazione libreria
[?]

Descrizione libro Springer, 2002. Condizione libro: New. This item is printed on demand for shipment within 3 working days. Codice libro della libreria LP9780387953953

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 94,90
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 2,99
Da: Germania a: U.S.A.
Destinazione, tempi e costi

8.

Klaus Fritzsche, Hans Grauert
Editore: Springer-Verlag New York Inc., United States (2002)
ISBN 10: 0387953957 ISBN 13: 9780387953953
Nuovi Rilegato Quantità: 10
Print on Demand
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., United States, 2002. Hardback. Condizione libro: New. 2002.. Language: English . Brand New Book ***** Print on Demand *****. This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises. Codice libro della libreria APC9780387953953

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 98,15
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

9.

Klaus Fritzsche; Hans Grauert
ISBN 10: 0387953957 ISBN 13: 9780387953953
Nuovi Quantità: > 20
Print on Demand
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Codice libro della libreria POD_9780387953953

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 104,55
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

10.

Fritzsche, Klaus, Grauert, Hans
Editore: Springer (2017)
ISBN 10: 0387953957 ISBN 13: 9780387953953
Nuovi Rilegato Quantità: 2
Print on Demand
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Springer, 2017. Hardcover. Condizione libro: New. This item is printed on demand. Codice libro della libreria P110387953957

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 106,04
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 1,68
In U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro