Lectures on Complex Integration

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Gogolin, A. O. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Tsitsishvili, Elena G. (Επιμελητής έκδοσης), Komnik, Andreas (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
Σειρά:Undergraduate Lecture Notes in Physics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Lectures on Complex Integration  |h [electronic resource] /  |c by A. O. Gogolin ; edited by Elena G. Tsitsishvili, Andreas Komnik. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a IX, 285 p. 64 illus.  |b online resource. 
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490 1 |a Undergraduate Lecture Notes in Physics,  |x 2192-4791 
505 0 |a Basics -- Hypergeometric series with applications -- Integral equations -- Orthogonal polynomials -- Solutions to the problems. 
520 |a 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. 
650 0 |a Physics. 
650 0 |a Functions of complex variables. 
650 0 |a Mathematical physics. 
650 1 4 |a Physics. 
650 2 4 |a Theoretical, Mathematical and Computational Physics. 
650 2 4 |a Mathematical Applications in the Physical Sciences. 
650 2 4 |a Functions of a Complex Variable. 
650 2 4 |a Mathematical Physics. 
700 1 |a Tsitsishvili, Elena G.  |e editor. 
700 1 |a Komnik, Andreas.  |e editor. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319002118 
830 0 |a Undergraduate Lecture Notes in Physics,  |x 2192-4791 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-00212-5  |z Full Text via HEAL-Link 
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950 |a Physics and Astronomy (Springer-11651)