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Author: William J. Terrell
Publisher: American Mathematical Soc.
ISBN: 1470451352
Category : Education
Languages : en
Pages : 607
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Book Description
A Passage to Modern Analysis is an extremely well-written and reader-friendly invitation to real analysis. An introductory text for students of mathematics and its applications at the advanced undergraduate and beginning graduate level, it strikes an especially good balance between depth of coverage and accessible exposition. The examples, problems, and exposition open up a student's intuition but still provide coverage of deep areas of real analysis. A yearlong course from this text provides a solid foundation for further study or application of real analysis at the graduate level. A Passage to Modern Analysis is grounded solidly in the analysis of R and Rn, but at appropriate points it introduces and discusses the more general settings of inner product spaces, normed spaces, and metric spaces. The last five chapters offer a bridge to fundamental topics in advanced areas such as ordinary differential equations, Fourier series and partial differential equations, Lebesgue measure and the Lebesgue integral, and Hilbert space. Thus, the book introduces interesting and useful developments beyond Euclidean space where the concepts of analysis play important roles, and it prepares readers for further study of those developments.
Author: William J. Terrell
Publisher: American Mathematical Soc.
ISBN: 1470451352
Category : Education
Languages : en
Pages : 607
Get Book
Book Description
A Passage to Modern Analysis is an extremely well-written and reader-friendly invitation to real analysis. An introductory text for students of mathematics and its applications at the advanced undergraduate and beginning graduate level, it strikes an especially good balance between depth of coverage and accessible exposition. The examples, problems, and exposition open up a student's intuition but still provide coverage of deep areas of real analysis. A yearlong course from this text provides a solid foundation for further study or application of real analysis at the graduate level. A Passage to Modern Analysis is grounded solidly in the analysis of R and Rn, but at appropriate points it introduces and discusses the more general settings of inner product spaces, normed spaces, and metric spaces. The last five chapters offer a bridge to fundamental topics in advanced areas such as ordinary differential equations, Fourier series and partial differential equations, Lebesgue measure and the Lebesgue integral, and Hilbert space. Thus, the book introduces interesting and useful developments beyond Euclidean space where the concepts of analysis play important roles, and it prepares readers for further study of those developments.
Author: G. Berkeley
Publisher: Springer Science & Business Media
ISBN: 9401125929
Category : Computers
Languages : en
Pages : 235
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Book Description
Berkeley's philosophy has been much studied and discussed over the years, and a growing number of scholars have come to the realization that scientific and mathematical writings are an essential part of his philosophical enterprise. The aim of this volume is to present Berkeley's two most important scientific texts in a form which meets contemporary standards of scholarship while rendering them accessible to the modern reader. Although editions of both are contained in the fourth volume of the Works, these lack adequate introductions and do not provide com plete and corrected texts. The present edition contains a complete and critically established text of both De Motu and The Analyst, in addi tion to a new translation of De Motu. The introductions and notes are designed to provide the background necessary for a full understanding of Berkeley's account of science and mathematics. Although these two texts are very different, they are united by a shared a concern with the work of Newton and Leibniz. Berkeley's De Motu deals extensively with Newton's Principia and Leibniz's Specimen Dynamicum, while The Analyst critiques both Leibnizian and Newto nian mathematics. Berkeley is commonly thought of as a successor to Locke or Malebranche, but as these works show he is also a successor to Newton and Leibniz.
Author: E. T. Whittaker
Publisher: Cambridge University Press
ISBN: 9780521588072
Category : Mathematics
Languages : en
Pages : 620
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Book Description
This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.
Author: John Radford Young
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 276
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Book Description
Author: Edmund Taylor Whittaker
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 638
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Book Description
Author: E. T. Whittaker
Publisher: Cambridge University Press
ISBN: 1107268583
Category : Mathematics
Languages : en
Pages :
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Book Description
This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.
Author: Igor Sobolev
Publisher: CRC Press
ISBN: 9782881248412
Category : Science
Languages : en
Pages : 404
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Book Description
Translated from the Russian revised and updated 1988 edition. Cubature formulas, for calculating the volumes of bodies in multidimensional space, were named by analogy with quadrature formulas, used to calculate the areas of plane figures. Topics include basic concepts and formulations, the polyharmonic equation, simple problems of the theory of computations, order of convergence of cubature formulas, considering a regular boundary layer, optimal formulas, and formulas for rational polyhedra. Annotation copyright by Book News, Inc., Portland, OR
Author: Loukas Grafakos
Publisher: Springer Science & Business Media
ISBN: 0387094326
Category : Mathematics
Languages : en
Pages : 494
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Book Description
The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online
Author: Sidra DeKoven Ezrahi
Publisher: Univ of California Press
ISBN: 0520918215
Category : Religion
Languages : en
Pages : 569
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Book Description
Sidra DeKoven Ezrahi's sweeping study of modern Jewish writing is in many ways a long meditation on the thematics of geography in Jewish culture, what she calls the "poetics of exile and return." Until the late nineteenth century, Jews were identified in their own religious and poetic imagination as wanderers and exiles, their sacred center–Jerusalem, Zion–fatefully out of reach. Opening the book with "Jewish Journeys," Ezrahi begins by examining the work of medieval Hebrew poet Yehuda Halevi to chart a journey whose end was envisioned as the sublime realignment of the people with their original center. When the Holy Land became the site of a political drama of return in the nineteenth century, Jewish writing reflected the shift, traced here in the travel fictions of S.Y. Abramovitsh, S.Y. Agnon, and Sholem Aleichem. In "Jewish Geographies" Ezrahi explores aspects of reterritorialization through memory in the post-Holocaust writing of Paul Celan, Dan Pagis, Aharon Appelfeld, I.B. Singer and Philip Roth. Europe, where Jews had dreamed of return, has become the new ruined shrine: The literary pilgrimages of these writers recall familiar patterns of grieving and representation and a tentative reinvention of the diasporic imagination–in America, of course, but, paradoxically, even in Zion.
Author: Krzysztof Jarosz
Publisher: American Mathematical Soc.
ISBN: 0821852515
Category : Mathematics
Languages : en
Pages : 256
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Book Description
This volume contains the proceedings of the Sixth Conference on Function Spaces, which was held from May 18-22, 2010, at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.
