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Introduction to Complex Analysis in Several Variables

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Item specifics

Condition
Good: A book that has been read, but is in good condition. Minimal damage to the book cover eg. ...
ISBN
9783764374907

About this product

Product Identifiers

Publisher
Springer Basel A&G
ISBN-10
376437490X
ISBN-13
9783764374907
eBay Product ID (ePID)
5038546219

Product Key Features

Number of Pages
VIII, 171 Pages
Language
English
Publication Name
Introduction to Complex Analysis in Several Variables
Subject
Complex Analysis, Mathematical Analysis
Publication Year
2005
Type
Textbook
Author
Volker Scheidemann
Subject Area
Mathematics
Format
Trade Paperback

Dimensions

Item Weight
16 Oz

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2005-054566
Dewey Edition
22
Reviews
This is a book written with the student in mind: it offers a concise treatment of complex analysis in several variables, by focusing on special topics rather than trying to be a comprehensive treatment of the subject. (...) The main importance of this book is the fact that it fills a void: there are relatively few books on several complex variables. Any (graduate) student beginning work in this area and any instructor considering teaching a course in several complex variables should definitely take a look at Professor Scheidemann's work.MAA-Reviews, This is a book written with the student in mind: it offers a concise treatment of complex analysis in several variables, by focusing on special topics rather than trying to be a comprehensive treatment of the subject. (...) The main importance of this book is the fact that it fills a void: there are relatively few books on several complex variables. Any (graduate) student beginning work in this area and any instructor considering teaching a course in several complex variables should definitely take a look at Professor Scheidemann's work. MAA-Reviews
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.94
Table Of Content
Elementary theory of several complex variables.- Continuation on circular and polycircular domains.- Biholomorphic maps.- Analytic Sets.- Hartogs' Kugelsatz.- Continuation on Tubular Domains.- Cartan-Thullen Theory.- Local Properties of holomorphic functions.
Synopsis
The idea for this book came when I was an assistant at the Department of Mat- matics and Computer Science at the Philipps-University Marburg, Germany. S- eraltimesIfacedthetaskofsupportinglecturesandseminarsoncomplexanalysis of several variables and found out that there are very few books on the subject, compared to the vast amount of literature on function theory of one variable, let alone on real variables or basic algebra. Even fewer books, to my understanding, were written primarily with the student in mind. So it was quite hard to ?nd s- porting examples and exercises that helped the student to become familiar with the fascinating theory of several complex variables. Of course, there are notable exceptions, like the books of R.M. Range 9] or B. and L. Kaup 6], however, even those excellent books have a drawback: they are quite thick and thus quite expensive for a student's budget. So an additional motivation to write this book was to give a comprehensive introduction to the theory of several complex variables, illustrate it with as many examples as I could ?nd and help the student to get deeper insight by giving lots of exercises, reaching from almost trivial to rather challenging. There are not many illustrations in this book, in fact, there is exactly one, becauseinthetheoryofseveralcomplexvariablesI'ndmostofthemeithertrivial or misleading. The readers are of course free to have a di'erent opinion on these matters., This book gives a comprehensive introduction to complex analysis in several variables. One major focus of the book is extension phenomena alien to the one-dimensional theory (Hartog's Kugelsatz, theorem of Cartan-Thullen, Bochner's theorem). The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a university lecture. Therefore, the book contains more than 50 examples and more than supporting exercises., The idea for this book came when I was an assistant at the Department of Mat- matics and Computer Science at the Philipps-University Marburg, Germany. S- eraltimesIfacedthetaskofsupportinglecturesandseminarsoncomplexanalysis of several variables and found out that there are very few books on the subject, compared to the vast amount of literature on function theory of one variable, let alone on real variables or basic algebra. Even fewer books, to my understanding, were written primarily with the student in mind. So it was quite hard to ?nd s- porting examples and exercises that helped the student to become familiar with the fascinating theory of several complex variables. Of course, there are notable exceptions, like the books of R.M. Range [9] or B. and L. Kaup [6], however, even those excellent books have a drawback: they are quite thick and thus quite expensive for a student's budget. So an additional motivation to write this book was to give a comprehensive introduction to the theory of several complex variables, illustrate it with as many examples as I could ?nd and help the student to get deeper insight by giving lots of exercises, reaching from almost trivial to rather challenging. There are not many illustrations in this book, in fact, there is exactly one, becauseinthetheoryofseveralcomplexvariablesI'ndmostofthemeithertrivial or misleading. The readers are of course free to have a di'erent opinion on these matters., This book provides a comprehensive introduction to complex analysis in several variables. One major focus of the book is extension phenomena alien to the one-dimensional theory (Hartog's Kugelsatz, theorem of Cartan-Thullen, Bochner's theorem). The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a university lecture. Therefore, the book contains more than 50 examples and more than 100 supporting exercises., This book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a university lecture. One major focus of the book is extension phenomena alien to the one-dimensional theory. Therefore, the book contains more than 50 examples and more than 100 supporting exercises.
LC Classification Number
QA331.7

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Friends of the SFPL Books and Media

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    Book and value was excellent. Seller was awesome! Description of book was spot on accurate (Book WAS indeed in VERY GOOD condition as seller indicated). Communication was great. This perfect bound style softcover book was very carefully packaged including being tightly wrapped in brown paper, with a stiffener cardboard sheet to prevent bending, all inside the bubble wrap envelope. I could not be happier with purchase.
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