التحليل Real and Complex Analysis

ابن الخطاب · ‏ديسمبر 2, 2009

Elliptic Functions
by: Komaravolu Chandrasekharan

ابن الخطاب · ‏ديسمبر 2, 2009

The Elementary Properties of the Elliptic Functions, with examples
by: Alfred Cardew Dixon

سمايلي · ‏أكتوبر 9, 2010

السلام عليكم

اخواني رجاء بدي حلول كتاب

introduction to real analysis

للمؤلفين

Robert G. Bartle
Donald R. Sherbert

Third Edition

تكفوووووووووووووووووووون بدي اياه ضروري الله يخليكم
جزاكم الله عنا كل خييييييير يااااااااارب

esslam34 · ‏نوفمبر 23, 2010

جزاكم الله خيراً

TENOFTEN · ‏ديسمبر 1, 2010

مقتبس من ابن الخطاب: ↑

Lecture Notes on Complex Analysis
World Scientific Publishing Company | Pages: 260 | 2006-04-11 | ISBN: 1860946429 | PDF | 7 Mb

This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford College, London, and King's College, London, as part of the BSc. and MSci. program. Its aim is to provide a gentle yet rigorous first course on complex analysis. Metric space aspects of the complex plane are discussed in detail, making this text an excellent introduction to metric space theory. The complex exponential and trigonometric functions are defined from first principles and great care is taken to derive their familiar properties. In particular, the appearance of π, in this context, is carefully explained. The central results of the subject, such as Cauchy's Theorem and its immediate corollaries, as well as the theory of singularities and the Residue Theorem are carefully treated while avoiding overly complicated generality. Throughout, the theory is illustrated by examples. A number of relevant results from real analysis are collected, complete with proofs, in an appendix. The approach in this book attempts to soften the impact for the student who may feel less than completely comfortable with the logical but often overly concise presentation of mathematical analysis elsewhere.

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albertnammas · ‏ديسمبر 1, 2010

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عفاف1 · ‏ديسمبر 11, 2010

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متفائلة بربي · ‏ديسمبر 14, 2011

مقتبس من ابن الخطاب: ↑

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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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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