التحليل Real and Complex Analysis

المصدر: Real and Complex Analysis
في منتدى : قسم الرياضيات

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Real and Complex Analysis
By Walter Rudin​

Book Description​

This is an advanced text for the one- or two-semester course in analysis taught primarily to math, , computer science, and electrical engineering majors at the junior, senior or graduate level. The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject . This text is part of the Walter Rudin Student Series in Advanced Mathematics​

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password: twilightzone​

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Geometric Functions Theory
By Steven Krantz​

Book Description ​

Complex variables is a precise, elegant, and captivating subject. Presented from the point of view of modern work in the field, this new book addresses advanced topics in complex analysis that verge on current areas of research, including invariant geometry, the Bergman metric, the automorphism groups of domains, harmonic measure, boundary regularity of conformal maps, the Poisson kernel, the Hilbert transform, the boundary behavior of harmonic and holomorphic functions, the inhomogeneous Cauchy–Riemann equations, and the corona problem. The author adroitly weaves these varied topics to reveal a number of delightful interactions. Perhaps more importantly, the topics are presented with an understanding and explanation of their interrelations with other important parts of mathematics: harmonic analysis, differential geometry, partial differential equations, potential theory, abstract algebra, and invariant theory. Although the book examines complex analysis from many different points of view, it uses geometric analysis as its unifying theme. This methodically designed book contains a rich collection of exercises, examples, and illustrations within each individual chapter, concluding with an extensive bibliography of monographs, research papers, and a thorough index. Seeking to capture the imagination of advanced undergraduate and graduate students with a basic background in complex analysis—and also to spark the interest of seasoned workers in the field—the book imparts a solid education
both in complex analysis and in how modern mathematics works ​

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by Steven G. Krantz ​

Book Description​

Ever since the groundbreaking work of J.J. Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of several complex variables. Partial Differential Equations and Complex Analysis explores the background and plumbs the depths of this symbiosis. The book is an excellent introduction to a variety of topics and presents many of the basic elements of linear partial differential equations in the context of how they are applied to the study of complex analysis. The author treats the Dirichlet and Neumann problems for elliptic equations and the related Schauder regularity theory, and examines how those results apply to the boundary regularity of biholomorphic mappings. He studies the ?-Neumann problem, then considers applications to the complex function theory of several variables and to the Bergman projection.​

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password: gigapedia.org​

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Complex Analysis: The Geometric Viewpoint
By Steven G. Krantz​

Book Description​

Geometric methods have been used in complex analysis since the 1930s. Since that time they have become a central part of the research activities of complex analysis. However, these important techniques have never found their way into a text accessible to a broad audience. Steven G. Krantz, a leading worker in complex analysis and a well-known mathematical expositor, has written the first book explaining how complex analysis can be studied using methods of geometry, using the minimum of geometric formalism to gain a maximum of geometric and analytic insight. The climax of the book is an introduction to several complex variables from the geometric viewpoint. The author assumes no background in Riemannian geometry, and only one semester of complex analysis (a review of relevant topics in the classical theory of one complex variable is provided). This inviting book will appeal to students in mathematics, applied mathematics, and physics.​

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Function Theory of One Complex Variable
By Robert Everist Greene, Steven G. Krantz

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Book Description​

A new approach that treats complex analysis in a broad context
This book presents a new approach to one of mathematics' oldest fields. It departs from the tradition of teaching complex analysis as a self-contained subject and, instead, treats the subject as a natural development from calculus. It also shows how complex analysis is used in other areas, exploring connections with calculus, algebra, geometry, topology, and other parts of analysis.
The authors provide the ideal framework for a first-year graduate course in complex analysis—building upon ideas the student is already familiar with and simplifying the transition to advanced topics. The book is also for those using complex numbers and functions in applied fields, including engineering, physics, and other areas

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Complex Analysis in Locally Convex Spaces
By Sean Dineen






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بارك الله فيكم جميعا

 

انت بتضيف زي ما بدك اخي ابو احمد

ولا يهمك......

 

جزاكم الله خير على المرور...

ولا يهمك أخي أبو أحمد ...

 

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by Donald Estep ​

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Password: gigapedia.org​

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by Stephen Abbott ​

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Undergraduate Analysis
By Serge Lang​

by Jerrold E. Marsden, Michael J. Hoffman,




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والله اخي لم اجد لك هذا الكتاب مع الاسف...

لكن اذا وجدته مباشرة بخبرك ...

تحياتي

 

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by Jewgeni H. Dshalalow ​

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