Gunning and Rossi's several complex variables

In summary, Gunning and Rossi's several complex variables focuses on the study of functions of several complex variables, building upon the theory of complex analysis in higher dimensions. To fully comprehend this subject, a strong foundation in calculus, real analysis, and complex analysis is necessary, with some knowledge of topology and linear algebra being beneficial. The applications of several complex variables can be seen in various fields, including algebraic geometry, differential geometry, mathematical physics, and engineering, as well as in the study of holomorphic dynamics and complex differential equations. While it can be challenging due to its abstract nature and advanced concepts, with a solid background, several complex variables can be a rewarding and intriguing subject. Recommended resources for studying this topic include Gunning and Rossi's
  • #1
lark
163
0
Does their book have exercises?
tanks
Laura
 
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  • #2
Why not check it out at your college's library?
 
  • #3
Defennder said:
Why not check it out at your college's library?
Why bother to answer if you don't have the answer?
I was hoping someone has the book and would just know.
Laura
 

FAQ: Gunning and Rossi's several complex variables

1. What is the main focus of Gunning and Rossi's several complex variables?

The main focus of Gunning and Rossi's several complex variables is the study of functions of several complex variables, which is an extension of the theory of complex analysis to higher dimensions.

2. What is the background needed to understand Gunning and Rossi's several complex variables?

A strong foundation in calculus, real analysis, and complex analysis is necessary to understand Gunning and Rossi's several complex variables. Some knowledge of topology and linear algebra may also be helpful.

3. What are some applications of Gunning and Rossi's several complex variables?

Gunning and Rossi's several complex variables has applications in various fields such as algebraic geometry, differential geometry, mathematical physics, and engineering. It is also used in the study of holomorphic dynamics and complex differential equations.

4. Is Gunning and Rossi's several complex variables a difficult subject?

Gunning and Rossi's several complex variables can be challenging due to its abstract nature and the use of advanced mathematical concepts. However, with a strong foundation in the necessary background, it can be a rewarding and fascinating subject to study.

5. Are there any recommended resources for studying Gunning and Rossi's several complex variables?

Aside from Gunning and Rossi's book itself, there are several other textbooks and online resources available for studying several complex variables. Some recommended books include "Several Complex Variables" by John P. D'Angelo and "Complex Variables: A Physical Approach with Applications and MATLAB" by Steven G. Krantz. Online resources such as lecture notes and video lectures can also be helpful for gaining a deeper understanding of the subject.

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