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اريد كتب به موضوع complex measure ان وجد

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عموما هذا الكتاب محاولة
وأتمنى أن ينفعكِ أختي الكريمة

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Harmonic Measure (New Mathematical Monographs)
By John B. Garnett, Donald E. Marshall



  • Publisher: Cambridge University Press
  • Number Of Pages: 592
  • Publication Date: 2008-07-07
  • ISBN-10 / ASIN: 0521720605
  • ISBN-13 / EAN: 9780521720601
  • Binding: Paperback


Product Description:
This book provides an enlightening survey of remarkable new results that have only recently been discovered in the past two decades about harmonic measure in the complex plane. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers.​
 


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وان شاء الله هذه الكتب تفي بالغرض

Complex Analysis (Princeton Lectures in Analysis, Volume 2)

by Elias M. Stein, Rami Shakarchi



With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle.
With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory.
Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other [COLOR=orange! important][COLOR=orange! important]sciences[/COLOR][/COLOR].
The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.​
 


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