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Jean Fresnel Marius van der Put. Principles of Harmonic Analysis Universitext. Synopsis "Classical Complex Analysis", available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions.

## An Introduction to Complex Analysis: Classical and Modern Approaches

Buy New Learn more about this copy. About AbeBooks. Other Popular Editions of the Same Title. Search for all books with this author and title. Customers who bought this item also bought. Stock Image. Published by World Scientific New Quantity Available: 1. Seller Rating:. Published by World Scientific Publishing Company New Paperback Quantity Available: 1. New Paperback Quantity Available: 5. New Paperback Quantity Available: Book Depository hard to find London, United Kingdom. Revaluation Books Exeter, United Kingdom. The winding number: its integral representation and geometric meaning 3.

The argument principle 3. The Rouche's theorem 3. Some sufficient conditions for analytic functions to be univalent 3. The inverse and implicit function theorems revisited 3. Examples of univalently conformal mappings Chapter 4. Fundamental theory: integration advanced Sketch of the content 4. Complex integration independent of paths: primitive functions 4.

The general form of Cauchy integral theorem: homotopy 4.

The line integral of an analytic function along a continuous curve 4. Homotopy of curves 4.

## Classical Complex Analysis: A Geometric Approach (Volume 2) - I-Hsiung Lin - Google книги

Homotopic invariance of the winding numbers 4. Homotopic form of Cauchy integral theorem 4. The general form of Cauchy integral theorem: homology 4. Cycles and homology of two cycles 4. Simply and finitely connected domains: homology basis 4. Homologous form of Cauchy integral theorem 4. Artin's proof 4.

Characteristic properties of simply connected domains a review : the single-valuedness of a primitive function 4. The branches of a multiple-valued primitive function on a multiple-connected domain 4. The general form of Cauchy integral formula 4. Integrals of Cauchy type and Cauchy principal value 4. Taylor series complicated examples 4. Laurent series 4. The Laurent series expansion of an analytic function in a circular ring domain 4. Examples 4. Classification and characteristic properties of isolated singularities of an analytic function 4.

Removable singularity 4. Pole 4. Essential singularity 4. Residues and residue theorem 4. Definition of residues 4. The computation of residues and examples 4.

The residue theorem 4. The applications of the residue theorem in evaluating the integrals More Notes Includes bibliographical references: p. Dewey Number View online Borrow Buy Freely available Show 0 more links Set up My libraries How do I set up "My libraries"?

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