Download or read book Comprehensive Analysis written by Kulbhushan Parkash; Manish Goyal and published by Laxmi Publications. This book was released on 2006-07 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Complex Variables written by Robert B. Ash and published by Courier Corporation. This book was released on 2007-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Dynamics of Linear Operators written by Frédéric Bayart and published by Cambridge University Press. This book was released on 2009-06-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Holomorphic Vector Bundles over Compact Complex Surfaces written by Vasile Brinzanescu and published by Springer. This book was released on 2006-11-14 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Several Complex Variables and Complex Geometry Part I written by Eric Bedford and published by American Mathematical Soc.. This book was released on 1991 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Several Complex Variables Part 2 written by Raymond O'Neil Wells and published by American Mathematical Soc.. This book was released on 1977 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Differential Geometry Geometry in Mathematical Physics and Related Topics written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Complex Variables written by Carlos A. Berenstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Several Complex Variables and Complex Geometry Part II written by Eric Bedford and published by American Mathematical Soc.. This book was released on 1991 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Riemann Surfaces written by Simon Donaldson and published by Oxford University Press. This book was released on 2011-03-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Plane Wave Theory of Time Domain Fields written by Thorkild B. Hansen and published by John Wiley & Sons. This book was released on 1999-06-10 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society.

Download or read book Solutions to Analysis written by P. Prakash; Manish Goyal and published by Laxmi Publications. This book was released on 2006-08 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Function Theory of One Complex Variable written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 andexercises 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 $Hp$ 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.

Download or read book A First Course in Complex Analysis with Applications written by Dennis Zill and published by Jones & Bartlett Learning. This book was released on 2009 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manor. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

Download or read book Quantum Mechanics in Hilbert Space written by Eduard Prugovecki and published by Courier Corporation. This book was released on 2013-07-02 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: A critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate levels. Its readable and self-contained form is accessible even to students without an extensive mathematical background. Applications of basic theorems to quantum mechanics make it of particular interest to mathematicians working in functional analysis and related areas. This text features the rigorous proofs of all the main functional-analytic statements encountered in books on quantum mechanics. It fills the gap between strictly physics- and mathematics-oriented texts on Hilbert space theory as applied to nonrelativistic quantum mechanics. Organized in the form of definitions, theorems, and proofs of theorems, it allows readers to immediately grasp the basic concepts and results. Exercises appear throughout the text, with hints and solutions at the end.

Download or read book Monopulse Principles and Techniques written by Samuel M. Sherman and published by Artech House. This book was released on 2011 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition offers engineers a current and comprehensive treatment of monopulse radar principles, techniques, and applications. Additionally, two new chapters have been added covering monopulse countermeasures and countercountermeasures, and monopulse for airborne radar and homing seekers. In this volume, various forms of monopulse radar are categorized and described, including their capabilities and limitations. It also covers circuits and hardware components, explaining their functions and performance.

Download or read book Popular Photography written by and published by . This book was released on 1992-04 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: