This text gives an overview of the basic properties of holomorphic functions of one complex variable. Topics studied in this overview include a detailed description of differential forms, homotopy theory, and homology theory, as the analytic properties of holomorphic functions, the solvability of the inhomogeneous Cauchy-Riemann equation with emphasis on the notation of compact families, the theory of growth of subharmonic functions, and an introduction to the theory of sheaves, covering spaces and Riemann surfaces. To further illuminate the material, a large number of exercises of differing levels of difficulty have been added.
FREE Two-Day Shipping for students on millions of items. Learn more |
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Product Details
Would you like to update product info or give feedback on images?
|
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
Key Phrases - Statistically Improbable Phrases (SIPs):
(learn more)
free homotopic, piecewise regular boundary, admissible open set, homotopic with fixed endpoints, nonvanishing holomorphic function, maximal analytic continuation, subharmonic functions, operator with index, continuous logarithm, biholomorphic map, real analytic boundary, circular average, integral representation formulas, covering map, holomorphic functions, connected open set, indicial equation, universal covering space, chordal distance, connected open subset, unbounded component, harmonic measure, canonical potential, analytic properties, open connected subset New!
Books on Related Topics Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
free homotopic, piecewise regular boundary, admissible open set, homotopic with fixed endpoints, nonvanishing holomorphic function, maximal analytic continuation, subharmonic functions, operator with index, continuous logarithm, biholomorphic map, real analytic boundary, circular average, integral representation formulas, covering map, holomorphic functions, connected open set, indicial equation, universal covering space, chordal distance, connected open subset, unbounded component, harmonic measure, canonical potential, analytic properties, open connected subset New!
Books on Related Topics Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
See all 100 books this book cites
100
books
cite this book:
See all 100 books citing this book
- Complex Analysis by Lars Ahlfors in Front Matter, and Back Matter
- Lectures on Riemann Surfaces (Graduate Texts in Mathematics) by Otto Forster in Back Matter (1), and Back Matter (2)
- Perturbation Theory for Linear Operators (Classics in Mathematics) by Tosio Kato in Back Matter
- Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne in Back Matter
- Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics) (v. 94) by Frank W. Warner in Back Matter
See all 100 books this book cites
- Harmonic Analysis, Signal Processing, and Complexity: Festschrift in Honor of the 60th Birthday of Carlos A. Berenstein (Progress in Mathematics) by Irene Sabadini on page 36, page 120, and page 134
- Residue Currents and Bezout Identities (Progress in Mathematics) by C.A. Berenstein on page 115, and Back Matter
- Integral Geometry and Convolution Equations by V.V. Volchkov in Back Matter (1), and Back Matter (2)
- Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, Vol 65) by Raymond O'Neil Wells in Back Matter
- Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11) (v. 1) by John B Conway in Back Matter
See all 100 books citing this book
Books on Related Topics
(learn more)
|
Suggested Tags from Similar Products(What's this?)Be the first one to add a relevant tag (keyword that's strongly related to this product).
|
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
