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Author: Austin Abbott
Publisher:
ISBN:
Category : Civil procedure
Languages : en
Pages : 608

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Author: Elias M. Stein
Publisher: Princeton University Press
ISBN: 1400831156
Category : Mathematics
Languages : en
Pages : 398

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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 sciences. 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.

Author:
Publisher:
ISBN:
Category : Employers' liability
Languages : en
Pages : 492

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Author:
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ISBN:
Category : Translations
Languages : en
Pages : 740

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Author: Gerald Massey
Publisher: Cosimo, Inc.
ISBN: 1616405570
Category : History
Languages : en
Pages : 1108

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Egyptologist Gerald Massey challenged readers in A Book of the Beginnings to consider the argument that Egypt was the birthplace of civilization and that the widespread monotheistic vision of man and the metaphysical was, in fact, based on ancient Egyptian mythos. In The Natural Genesis, presented here in an omnibus edition, Massey delivers a sequel, delving deeper into his compelling polemic. In Volume I, he offers a more intellectual, fine-tuned analysis of the development of society out of Egypt. From the simplest signs (numbers, the cross) to the grandest archetypes (darkness, the mother figure), Massey carefully and confidently lays the cultural and psychosocial bricks of evolutionism. Volume II provides detailed discourse on the Egyptian origin of the delicate components of the monotheistic creed. With his agile prose, Massey leads an adventurous examination of the epistemology of astronomy, time, and Christology-and what it all means for human culture. British author GERALD MASSEY (1828-1907) published works of poetry, spiritualism, Shakespearean criticism, and theology, but his best known works are in the realm of Egyptology, including The Book of the Beginnings, The Natural Genesis, and Ancient Egypt: The Light of the World.

Author: Karel van der Hucht
Publisher: Cambridge University Press
ISBN: 9780521896832
Category : Science
Languages : en
Pages : 758

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Recording the proceedings of the IAU XXVI General Assembly, this volume of the IAU Highlights of Astronomy covers virtually all aspects of modern astrophysics as discussed by 2400 participants from 73 countries. Notably, the common aspects of astrophysical phenomena known to exist in widely differing interstellar environments is thoroughly examined, providing fertile cross correlation from one specialisation to another. This text highlights the importance of the triennial IAU General Assemblies in bringing together the work of observers and theoreticians in widely different fields, but working towards a common goal: understanding the physics of the Universe. Together with the Proceedings of the IAU Symposia 235-240, this volume examines all of the astrophysics presented at the General Assembly.

Author:
Publisher:
ISBN:
Category : Scientific literature
Languages : en
Pages : 552

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Author: Theodore E. Kyriak
Publisher:
ISBN:
Category : Soviet Union
Languages : en
Pages : 542

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Author:
Publisher:
ISBN:
Category : Cities and towns
Languages : en
Pages : 508

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Author: United States. Patent Office
Publisher:
ISBN:
Category : Patents
Languages : en
Pages : 2422

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