Lectures introductory to the theory of functions of two complex variables: delivered to the University of Calcutta during January and February 1913, [Paperback]

Andrew Russell Forsyth (Author)

Book Description

Publication Date: January 1, 1914

This volume is produced from digital images from the Cornell University Library Historical Mathematics Monographs collection.

Product Details

• Paperback: 458 pages
• Publisher: Cornell University Library (January 1, 1914)
• Language: English
• ISBN-10: 1429703067
• ISBN-13: 978-1429703062
• Product Dimensions: 9.2 x 6.5 x 1 inches
• Shipping Weight: 1.9 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #7,744,377 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

5.0 out of 5 stars a great book intro book, February 14, 2010

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A. Noushin (MA, United States) - See all my reviews
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This review is from: Lectures introductory to the theory of functions of two complex variables: delivered to the University of Calcutta during January and February 1913, (Paperback)

This book deals with the principles that are introductory to the theory of function s of several complex variables. As the title of book suggest, its main focus is the complex function of two variables. However the majority of theorems and concepts discussed in this book may be re-stated for complex functions of several variables with little or no change. I am NOT any expert on the theory of complex functions, however I found this book very readable and void of unnecessary abstract language. You would need a reasonably good background in theory of analytic functions of a single variable to appreciate what can, and what cannot be extended to more than one variable. If you just are getting started, this is an excellent source. Here is what is in this book:
Chapter one deals with various approaches for geometrical representation of two complex function.
Chapter two is on analytical properties of defining two variables in terms of two others, I.e. linear transformation.
Chapter three is on power series.
Chapter four deals with extension of Weierstrass approximation theorem and its special form and limitations in two variables.
Chapter five is concerned with extensions of Weierstrass's theorems on functions without essential singularities in the finite complex field of variation.
Chapter six is on integration in complex field of variation.
Chapter seven is on simultaneous behavior of two analytic functions when they are independent (they have no common factor).
The last chapter is on uniform periodic functions of two complex variables.
The main text is 281 pages. The book is 436 pages. The last 150 pages are collection of articles and supplementary materials in German. You can view the book at: [...] (one page at a time as images)
If you already know about this subject and you wish to delve into the details, one suggestion may be: Methods of Theory of functions of Several Complex Variables by Vladimirov. But this seemed very difficult for me when I looked at it years ago.