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Author: Rachel Fletcher
Publisher: George F Thompson Publishing
ISBN: 9781938086021
Category : Architectural design
Languages : en
Pages : 0
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Book Description
The desire for harmony is universal among all cultures. In Infinite Measure, we rediscover a fundamental starting point for designers of all ages: the simple act of drawing with a compass and a rule can sensitize the designer to the rich subtleties of spatial harmony, no matter how one ultimately chooses to express it.
Author: Rachel Fletcher
Publisher: George F Thompson Publishing
ISBN: 9781938086021
Category : Architectural design
Languages : en
Pages : 0
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Book Description
The desire for harmony is universal among all cultures. In Infinite Measure, we rediscover a fundamental starting point for designers of all ages: the simple act of drawing with a compass and a rule can sensitize the designer to the rich subtleties of spatial harmony, no matter how one ultimately chooses to express it.
Author: Jon Aaronson
Publisher: American Mathematical Soc.
ISBN: 0821804944
Category : Mathematics
Languages : en
Pages : 298
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Book Description
Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. The book focuses on properties specific to infinite measure preserving transformations. The work begins with an introduction to basic nonsingular ergodic theory, including recurrence behaviour, existence of invariant measures, ergodic theorems, and spectral theory. A wide range of possible "ergodic behaviour" is catalogued in the third chapter mainly according to the yardsticks of intrinsic normalizing constants, laws of large numbers, and return sequences. The rest of the book consists of illustrations of these phenomena, including Markov maps, inner functions, and cocycles and skew products. One chapter presents a start on the classification theory.
Author: Alan J. Weir
Publisher: Cambridge University Press
ISBN: 9780521097512
Category : Mathematics
Languages : en
Pages : 300
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Book Description
A textbook for the undergraduate who is meeting the Lebesgue integral for the first time, relating it to the calculus and exploring its properties before deducing the consequent notions of measurable functions and measure.
Author: Gerald A. Edgar
Publisher: Cambridge University Press
ISBN: 0521350239
Category : Mathematics
Languages : en
Pages : 446
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Book Description
A unified treatment of the theory of 'stopping times' for probability theorists and statisticians.
Author: Alan J. Weir
Publisher: CUP Archive
ISBN: 9780521204071
Category : Mathematics
Languages : en
Pages : 316
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Book Description
This is a sequel to Dr Weir's undergraduate textbook on Lebesgue Integration and Measure (CUP. 1973) in which he provided a concrete approach to the Lebesgue integral in terms of step functions and went on from there to deduce the abstract concept of Lebesgue measure. In this second volume, the treatment of the Lebesgue integral is generalised to give the Daniell integral and the related general theory of measure. This approach via integration of elementary functions is particularly well adapted to the proof of Riesz's famous theorems about linear functionals on the classical spaces C (X) and LP and also to the study of topological notions such as Borel measure. This book will be used for final year honours courses in pure mathematics and for graduate courses in functional analysis and measure theory.
Author: Yurij M. Berezansky
Publisher: Birkhäuser
ISBN: 3034891857
Category : Mathematics
Languages : en
Pages : 443
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Book Description
"Functional Analysis" is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathematical physics. The first volume reviews basic concepts such as the measure, the integral, Banach spaces, bounded operators and generalized functions. Volume II moves on to more advanced topics including unbounded operators, spectral decomposition, expansion in generalized eigenvectors, rigged spaces, and partial differential operators. This text provides students of mathematics and physics with a clear introduction into the above concepts, with the theory well illustrated by a wealth of examples. Researchers will appreciate it as a useful reference manual.
Author: Bert E. Fristedt
Publisher: Springer Science & Business Media
ISBN: 1489928375
Category : Mathematics
Languages : en
Pages : 775
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Book Description
Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from the beginning graduate level to the point of specialization in research areas of current interest. The book is designed for a two- or three-semester course, assuming only courses in undergraduate real analysis or rigorous advanced calculus, and some elementary linear algebra. A variety of applications—Bayesian statistics, financial mathematics, information theory, tomography, and signal processing—appear as threads to both enhance the understanding of the relevant mathematics and motivate students whose main interests are outside of pure areas.
Author: Shizuo Kakutani
Publisher: Springer Science & Business Media
ISBN: 9780817632786
Category : Mathematics
Languages : en
Pages : 480
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Book Description
Works of Shizuo Kakutani, Japanese-American mathematician, best known for his eponymous fixed-point theorem.
Author: Vladimir I. Bogachev
Publisher: Springer Science & Business Media
ISBN: 3540345140
Category : Mathematics
Languages : en
Pages : 1075
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Book Description
This book giving an exposition of the foundations of modern measure theory offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course, and, finally, more specialized topics partly covered by more than 850 exercises with detailed hints and references. Bibliographical comments and an extensive bibliography with 2000 works covering more than a century are provided.
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Languages : en
Pages : 258
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Book Description
