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Nevanlinna"s Theory of Value Distribution The Second Main Theorem and its Error Terms (Springer Monographs in Mathematics) by William Cherry

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Published by Springer .
Written in English


  • Complex analysis,
  • Number Theory,
  • Probability & Statistics - General,
  • Algebraic Number Theory,
  • Functions Of Complex Variables,
  • Mathematics,
  • Science/Mathematics,
  • 11J97,
  • 30D35,
  • Mathematics / Mathematical Analysis,
  • Nevanlinna,
  • approximation,
  • diophantine,
  • diophantine approximation,
  • error terms,
  • value distribution,
  • Functional Analysis

Book details:

The Physical Object
Number of Pages202
ID Numbers
Open LibraryOL9063088M
ISBN 103540664165
ISBN 109783540664161

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Nevanlinna's Theory of Value Distribution by William Cherry, , available at Book Depository with free delivery worldwide. The book is very well-written. The reviewer highly recommends this book. To close on a personal note, I learned a lot from reading this book." (Min Ru, Zentralblatt MATH, Vol. , ) "The book is a very nice introduction to the theory of value distribution by covering all major aspects of the theory. Brand: William Cherry. "On the one hand, this monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution because the authors only assume the reader is familiar with the basics of complex analysis. In mathematics, the value distribution theory of holomorphic functions is a division of mathematical analysis. It tries to get quantitative measures of the number of times a function f(z) assumes a value a, as z grows in size, refining the Picard theorem on behaviour close to an essential singularity.

On the one hand, this monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution because the authors only assume the reader is familiar with the basics of complex analysis. On the other hand, the monograph also serves as a valuable reference for the research. Value theory involves various approaches that examine how, why, and to what degree humans value things and whether the object or subject of valuing is a person, idea, object, or anything else. Within philosophy, it can be known as ethics or axiology. Early philosophical investigations sought to understand good and evil and the concept of "the. Its lesson concerning subjectivism, value and price, causation and cost, utility, and the whole microeconomic foundation of the Austrian School, continue to be relevant - and still unabsorbed by the profession at large. Exactly as the title indicates, as an introduction to value theory, this book has never been superseded by any other. "There can be no doubt that it is an important landmark of economic theory."F.H. Hahn. The contribution of this short book consists in a rigorous, axiomatic, and formal analysis of producer behavior, consumer behavior, general equilibrium, and the optimality of the market mechanism for resource allocation/5.

Theories of Value and Distribution Since Adam Smith: Ideology and Economic Theory. Maurice Dobb, the appearance of Sraffa's book The Production of Commodities by Means of Commodities, which was a watershed in the critical discussions constituted a crucial turning-point in the history of economics: an estimate not unconnected with his. The value-distribution theory of meromorphic functions in the open complex plane has been described above; this is the parabolic case. A theory of growth and value distribution can also be set up in the hyperbolic case, that is, when is a function meromorphic in the unit disc (see,). Probability Theory Theoretical Distributions Discrete Distributions The Binomial Distribution The Poisson Distribution Continuous Distributions The Normal Distribution - Return values are the upper quantiles of the extreme value distribution - Example: Suppose that the random variable Y represents an annual extreme File Size: 1MB. In this sense, the theory of distribution is mostly an extension of the theory of value. In the theory of distribution, however, we determine the prices not of the factors of production but of their services. For instance, in the factor market, it is not hectares of land which are .