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Erscheinungsdatum: 08.07.2019, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Complex Analysis, Titelzusatz: Theory and Applications, Autor: Bulboaca, Teodor // Joshi, Santosh B. // Goswami, Pranay, Verlag: Gruyter, Walter de GmbH // De Gruyter, Sprache: Englisch, Schlagworte: Analysis // Calculus // MATHEMATICS // Complex Analysis, Rubrik: Mathematik // Analysis, Seiten: 406, Abbildungen: 18 b/w ill., 1 b/w tbl., Reihe: Graduate Texts in Condensed Matter // De Gruyter Textbook, Gewicht: 792 gr, Verkäufer: averdo

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65,95 € *

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This unusually lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. "Complex Analysis" offers new and interesting motivations for classical results and introduces related topics that do not appear in this form in other texts. Stressing motivation and technique, and containing a large number of problems and their solutions, this volume may be used as a text both in classrooms and for self-study. Topics covered include: The complex numbers, functions of a complex variable, analytic functions, line integrals and entire functions, properties of entire functions and of analytic functions, simply connected domains, isolated singularities, the residue theorem and applications, contour integral techniques, conformal mapping and the riemann mapping theorem, maximum-modulus theorems for unbounded domains, harmonic functions, forms of analytic functions, analytic continuation, the gamma and zeta functions, application to other areas of mathematics. For this second edition, the authors have revised some of the existing material and have provided new exercises and solutions.

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64,19 € *

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The idea of this book is to give an extensive description of the classical complex analysis, here ''classical'' means roughly that sheaf theoretical and cohomological methods are omitted.The first four chapters cover the essential core of complex analysis presenting their fundamental results. After this standard material, the authors step forward to elliptic functions and to elliptic modular functions including a taste of all most beautiful results of this field. The book is rounded by applications to analytic number theory including distinguished pearls of this fascinating subject as for instance the Prime Number Theorem. Great importance is attached to completeness, all needed notions are developed, only minimal prerequisites (elementary facts of calculus and algebra) are required.More than 400 exercises including hints for solutions and many figures make this an attractive, indispensable book for students who would like to have a sound introduction to classical complex analysis. TOC:Differential Calculus in the Complex Plane C.- Integral Calculus in the Complex Plane.- Sequences and Series of Analytic Functions, the Residue Theorem.- Construction of Analytic Functions.- Elliptic Functions.- Elliptic Modular Forms.- Analytic Number Theory.- Solutions to the Exercises.- References.- Index.

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62,29 € *

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59,74 € *

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This is the second volume of the two-volume book on real and complex analysis. This volume is an introduction to the theory of holomorphic functions. Multivalued functions and branches have been dealt carefully with the application of the machinery of complex measures and power series. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into four chapters, it discusses holomorphic functions and harmonic functions, Schwarz reflection principle, infinite product and the Riemann mapping theorem, analytic continuation, monodromy theorem, prime number theorem, and Picard's little theorem. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.

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71,64 € *

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This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course. This is a revised edition, new examples and exercises have been added, and many minor improvements have been made throughout the text.

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46,30 € *

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Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematics investigating functions of complex numbers. It is useful in many branches of mathematics, including number theory and applied mathematics, as well as in physics, including hydrodynamics, thermodynamics, and electrical engineering. Complex analysis is particularly concerned with the analytic functions of complex variables (or, more generally, meromorphic functions). Because the separable real and imaginary parts of any analytic function must satisfy Laplace's equation, complex analysis is widely applicable to two-dimensional problems in physics.

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45,00 € *

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65,99 € *

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