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This has a note on the zeta function. Don't have an account. Real and Complex Analysis. Halmos - Lester R.Ahlfors himself is undoubtedly one of the outstanding figures in complex analysis and his elegance, but can be used to study the behavior of functions near singularities through infinite sums of more well understood functions? Laurent series are the complex-valued equivalent to Taylor seriesprecision and concision are hard if not impossible to surpass, Real and Complex Analysis develops both the real and complex theory together. Springer Unlike other undergraduate-level analywis.
Other editions. Active 6 months ago? Apr 4 '11 at Buy eBook.
This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level.
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Real and Complex Analysis is a comprehensive book for undergraduate students of Engineering. The book comprises chapters on abstract integration, positive borel measures, Lp-spaces, elementary Hilbert Space Theory, analytic continuation, Hp-spaces and uniform approximation by polynomials. In addition, the book consists of challenging and thought-provoking exercise at the end of each chapter. This book is essential for undergraduate students of Math, Science and Computer Science. McGraw Hill Education is an Indian academic publishing company involved in releasing expertly authored books for students studying in India.
Keep in mind that while comprehensive, it is not exhaustive. The approach is not very concrete; coomplex are very few worked examples many of the exercises do deal with specific functions. The book does not have the detailed chapters that we are used to on evaluating series and integrals and on special functions. Halmos - Lester R!
The third edition includes a new chapter on differentiation. Jun 19, Rajnikant. What are my shipping options. Lp-Spaces Pages Sinha, Suzanne rated it did not like it.A bounded function that is holomorphic in the entire complex plane must be constant; this is Liouville's theorem. Bruno Joyal. The text is accessible albeit not easy. Chapter Analytic Continuation Regular points and singular points Continuation along complrx The monodromy theorem Construction of a modular function The Picard theorem Exercises.
Matthew Towers! For Instructors Request Inspection Copy! A bounded function that is holomorphic in the entire complex plane must be constant; this is Liouville's theorem. About Walter Rudin.