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Author: Kulbhushan Parkash; Manish Goyal
Publisher: Laxmi Publications
ISBN: 9788170088578
Category : Mathematics
Languages : en
Pages : 488
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Book Description
Author: Kulbhushan Parkash; Manish Goyal
Publisher: Laxmi Publications
ISBN: 9788170088578
Category : Mathematics
Languages : en
Pages : 488
Get Book Here
Book Description
Author: Robert B. Ash
Publisher: Courier Corporation
ISBN: 0486462501
Category : Mathematics
Languages : en
Pages : 226
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Book Description
This text on complex variables is geared toward graduate students and undergraduates who have taken an introductory course in real analysis. It is a substantially revised and updated edition of the popular text by Robert B. Ash, offering a concise treatment that provides careful and complete explanations as well as numerous problems and solutions. An introduction presents basic definitions, covering topology of the plane, analytic functions, real-differentiability and the Cauchy-Riemann equations, and exponential and harmonic functions. Succeeding chapters examine the elementary theory and the general Cauchy theorem and its applications, including singularities, residue theory, the open mapping theorem for analytic functions, linear fractional transformations, conformal mapping, and analytic mappings of one disk to another. The Riemann mapping theorem receives a thorough treatment, along with factorization of analytic functions. As an application of many of the ideas and results appearing in earlier chapters, the text ends with a proof of the prime number theorem.
Author: Frédéric Bayart
Publisher: Cambridge University Press
ISBN: 0521514967
Category : Mathematics
Languages : en
Pages : 352
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Book Description
The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators. Written for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level.
Author: Vasile Brinzanescu
Publisher: Springer
ISBN: 3540498451
Category : Mathematics
Languages : en
Pages : 175
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Book Description
The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. Special features of the nonalgebraic surfaces case, like irreducible vector bundles and stability with respect to a Gauduchon metric, are considered. The reader requires a grounding in geometry at graduate student level. The book will be of interest to graduate students and researchers in complex, algebraic and differential geometry.
Author: Eric Bedford
Publisher: American Mathematical Soc.
ISBN: 0821814893
Category : Mathematics
Languages : en
Pages : 280
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Book Description
Author: Raymond O'Neil Wells
Publisher: American Mathematical Soc.
ISBN: 082180250X
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Contains sections on Non compact complex manifolds, Differential geometry and complex analysis, Problems in approximation, Value distribution theory, Group representation and harmonic analysis, and Survey papers.
Author: Robert Everist Greene
Publisher: American Mathematical Soc.
ISBN: 0821814958
Category : Mathematics
Languages : en
Pages : 681
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Book Description
The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge
Author: Carlos A. Berenstein
Publisher: Springer Science & Business Media
ISBN: 1461230241
Category : Mathematics
Languages : en
Pages : 664
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Book Description
Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant's Funktionentheorie or Jordan's Cours d'Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in several variables. We say reunification since we think that Weierstrass, Poincare, and others (in contrast to many of our students) did not consider them to be entirely separate subjects. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsidera tion of analytic continuation, ordinary differential equations in the complex domain, asymptotic analysis, iteration of holomorphic functions, and many other subjects from the classic theory of functions of one complex variable. This ongoing reconsideration led us to think that a textbook incorporating some of these new perspectives and techniques had to be written.
Author: Eric Bedford
Publisher: American Mathematical Soc.
ISBN: 0821814907
Category : Mathematics
Languages : en
Pages : 644
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Book Description
Author: Simon Donaldson
Publisher: Oxford University Press
ISBN: 0198526393
Category : Mathematics
Languages : en
Pages : 301
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Book Description
An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view; it pulls together material from global analysis, topology, and algebraic geometry, and covers the essential mathematical methods and tools.
