[PDF] Functions Of One Complex Variable I

Functions of One Complex Variable I PDF
Author: John B. Conway
Publisher: Springer Science & Business Media
ISBN: 1461263131
Size: 56.70 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 322
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Functions Of One Complex Variable I

by John B. Conway, release date 2012-12-06, Functions Of One Complex Variable I Books available in PDF, EPUB, Mobi Format. Download Functions Of One Complex Variable I books, "This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book." --MATHSCINET




[PDF] Functions Of One Complex Variable

Functions of One Complex Variable PDF
Author: J.B. Conway
Publisher: Springer Science & Business Media
ISBN: 1461599725
Size: 10.17 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 313
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Functions Of One Complex Variable

by J.B. Conway, release date 2012-12-06, Functions Of One Complex Variable Books available in PDF, EPUB, Mobi Format. Download Functions Of One Complex Variable books, This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - I) arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.




[PDF] Functions Of One Complex Variable I

Functions of One Complex Variable I PDF
Author: John B. Conway
Publisher: Springer
ISBN: 9780387903286
Size: 10.32 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 322
View: 5336

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Functions Of One Complex Variable I

by John B. Conway, release date 1995-04-07, Functions Of One Complex Variable I Books available in PDF, EPUB, Mobi Format. Download Functions Of One Complex Variable I books, "This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book." --MATHSCINET




[PDF] Function Theory Of One Complex Variable

Function Theory of One Complex Variable PDF
Author: Robert Everist Greene
Publisher: American Mathematical Soc.
ISBN: 9780821839621
Size: 69.62 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 504
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Function Theory Of One Complex Variable

by Robert Everist Greene, release date 2006, Function Theory Of One Complex Variable Books available in PDF, EPUB, Mobi Format. Download Function Theory Of One Complex Variable books, Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples and exercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem, and the Bergman kernel. The authors also treat $H^p$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.




[PDF] Functions Of One Complex Variable Ii

Functions of One Complex Variable II PDF
Author: John B. Conway
Publisher: Springer Science & Business Media
ISBN: 1461208173
Size: 15.10 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 396
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Functions Of One Complex Variable Ii

by John B. Conway, release date 2012-12-06, Functions Of One Complex Variable Ii Books available in PDF, EPUB, Mobi Format. Download Functions Of One Complex Variable Ii books, This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as potential theory in the plane, covering in particular: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge of integration theory and functional analysis is assumed.




[PDF] Elementary Theory Of Analytic Functions Of One Or Several Complex Variables

Elementary Theory of Analytic Functions of One or Several Complex Variables PDF
Author: Henri Cartan
Publisher: Courier Corporation
ISBN: 0486318672
Size: 79.81 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 228
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Elementary Theory Of Analytic Functions Of One Or Several Complex Variables

by Henri Cartan, release date 2013-04-22, Elementary Theory Of Analytic Functions Of One Or Several Complex Variables Books available in PDF, EPUB, Mobi Format. Download Elementary Theory Of Analytic Functions Of One Or Several Complex Variables books, Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.




[PDF] Entire Functions Of Several Complex Variables

Entire Functions of Several Complex Variables PDF
Author: Pierre Lelong
Publisher: Springer Science & Business Media
ISBN: 3642703445
Size: 34.64 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 272
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Entire Functions Of Several Complex Variables

by Pierre Lelong, release date 2012-12-06, Entire Functions Of Several Complex Variables Books available in PDF, EPUB, Mobi Format. Download Entire Functions Of Several Complex Variables books, I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.




[PDF] Functions Of A Complex Variable

Functions of a Complex Variable PDF
Author: Hemant Kumar Pathak
Publisher: CRC Press
ISBN: 1498720161
Size: 39.20 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 718
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Functions Of A Complex Variable

by Hemant Kumar Pathak, release date 2015-10-14, Functions Of A Complex Variable Books available in PDF, EPUB, Mobi Format. Download Functions Of A Complex Variable books, Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis. It also incorporates special topics to enhance students’ understanding of the subject, laying the foundation for future studies in analysis, linear algebra, numerical analysis, geometry, number theory, physics, thermodynamics, or electrical engineering. After introducing the basic concepts of complex numbers and their geometrical representation, the text describes analytic functions, power series and elementary functions, the conformal representation of an analytic function, special transformations, and complex integration. It next discusses zeros of an analytic function, classification of singularities, and singularity at the point of infinity; residue theory, principle of argument, Rouché’s theorem, and the location of zeros of complex polynomial equations; and calculus of residues, emphasizing the techniques of definite integrals by contour integration. The authors then explain uniform convergence of sequences and series involving Parseval, Schwarz, and Poisson formulas. They also present harmonic functions and mappings, inverse mappings, and univalent functions as well as analytic continuation.




[PDF] Complex Analysis

Complex Analysis PDF
Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1475718713
Size: 23.66 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 370
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Complex Analysis

by Serge Lang, release date 2013-06-29, Complex Analysis Books available in PDF, EPUB, Mobi Format. Download Complex Analysis books, The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. Somewhat more material has been included than can be covered at leisure in one term, to give opportunities for the instructor to exercise his taste, and lead the course in whatever direction strikes his fancy at the time. A large number of routine exercises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recom mend to anyone to look through them. More recent texts have empha sized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex anal ysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues. The systematic elementary development of formal and convergent power series was standard fare in the German texts, but only Cartan, in the more recent books, includes this material, which I think is quite essential, e. g. , for differential equations. I have written a short text, exhibiting these features, making it applicable to a wide variety of tastes. The book essentially decomposes into two parts.