Lectures on Complex Integration [electronic resource] /by A. O. Gogolin ; edited by Elena G. Tsitsishvili, Andreas Komnik.
by Gogolin, A. O [author.]; Tsitsishvili, Elena G [editor.]; Komnik, Andreas [editor.]; SpringerLink (Online service).
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BookSeries: Undergraduate Lecture Notes in Physics: Publisher: Cham : Springer International Publishing : 2014.Description: IX, 285 p. 64 illus. online resource.ISBN: 9783319002125.Subject(s): Physics | Functions of complex variables | Physics | Theoretical, Mathematical and Computational Physics | Mathematical Applications in the Physical Sciences | Functions of a Complex Variable | Mathematical PhysicsDDC classification: 530.1 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QC19.2-20.85 (Browse shelf) | Available |
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| QE701-760 Palaeobiology of Middle Paleozoic Marine Brachiopods | QA639.5-640.7 Discrete Geometry and Optimization | QA71-90 Conversations About Challenges in Computing | QC19.2-20.85 Lectures on Complex Integration | QA276-280 mODa 10 – Advances in Model-Oriented Design and Analysis | TA703-705.4 Implications of Pyrite Oxidation for Engineering Works | QA299.6-433 Analysis and Geometry of Markov Diffusion Operators |
Basics -- Hypergeometric series with applications -- Integral equations -- Orthogonal polynomials -- Solutions to the problems.
The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.
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