Author: Publisher: Academic Press
ISBN: 0080873715
Category : Mathematics
Languages : en
Pages : 237
Book Description
Introduction to the Theory of Entire Functions
Introduction to the Theory of Entire Functions
Author: Publisher: Academic Press
ISBN: 0080873715
Category : Mathematics
Languages : en
Pages : 237
Book Description
Introduction to the Theory of Entire Functions
Journal of Pedagogy
Author: Albert LeonardPublisher:
ISBN:
Category : Education
Languages : en
Pages : 430
Book Description
Fundamentals of Functions and Measure Theory
Author: Valeriy K. ZakharovPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110550962
Category : Mathematics
Languages : en
Pages : 480
Book Description
This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff’s classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff’s initial work (1st ed., 1914), measure and integration theory is also included here as the third fundamental part of contemporary mathematics. The material about sets and numbers is placed in Volume 1 and the material about functions and measures is placed in Volume 2. Contents Historical foreword on the centenary after Felix Hausdorff’s classic Set Theory Fundamentals of the theory of functions Fundamentals of the measure theory Historical notes on the Riesz – Radon – Frechet problem of characterization of Radon integrals as linear functionals
Mathematical Seminary
Author: Princeton University. LibraryPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 124
Book Description
Fatou, Julia, Montel
Author: Michèle AudinPublisher: Springer Science & Business Media
ISBN: 3642178537
Category : Mathematics
Languages : en
Pages : 342
Book Description
How did Pierre Fatou and Gaston Julia create what we now call Complex Dynamics, in the context of the early twentieth century and especially of the First World War? The book is based partly on new, unpublished sources. Who were Pierre Fatou, Gaston Julia, Paul Montel? New biographical information is given on the little known mathematician that was Pierre Fatou. How did the WW1 injury of Julia influence mathematical life in France? From the reviews of the French version: "Audin’s book is ... filled with marvelous biographical information and analysis, dealing not just with the men mentioned in the book’s title but a large number of other players, too ... [It] addresses itself to scholars for whom the history of mathematics has a particular resonance and especially to mathematicians active, or even with merely an interest, in complex dynamics. ... presents it all to the reader in a very appealing form." (Michael Berg, The Mathematical Association of America, October 2009)
Classical and Modern Integration Theories
Author: Ivan N. PesinPublisher: Academic Press
ISBN: 1483268691
Category : Mathematics
Languages : en
Pages : 218
Book Description
Classical and Modern Integration Theories discusses classical integration theory, particularly that part of the theory directly associated with the problems of area. The book reviews the history and the determination of primitive functions, beginning from Cauchy to Daniell. The text describes Cauchy's definition of an integral, Riemann's definition of the R-integral, the upper and lower Darboux integrals. The book also reviews the origin of the Lebesgue-Young integration theory, and Borel's postulates that define measures of sets. W.H. Young's work provides a construction of the integral equivalent to Lebesque's construction with a different generalization of integrals leading to different approaches in solutions. Young's investigations aim at generalizing the notion of length for arbitrary sets by means of a process which is more general than Borel's postulates. The text notes that the Lebesgue measure is the unique solution of the measure problem for the class of L-measurable sets. The book also describes further modifications made into the Lebesgue definition of the integral by Riesz, Pierpont, Denjoy, Borel, and Young. These modifications bring the Lebesgue definition of the integral closer to the Riemann or Darboux definitions, as well as to have it associated with the concepts of classical analysis. The book can benefit mathematicians, students, and professors in calculus or readers interested in the history of classical mathematics.
The Foundations of Intuitionistic Mathematics
Author: Lev D. BeklemishevPublisher: Elsevier
ISBN: 0080957595
Category : Mathematics
Languages : en
Pages : 215
Book Description
The Foundations of Intuitionistic Mathematics
Interpolation and Approximation by Rational Functions in the Complex Domain
Author: J. L. WalshPublisher: American Mathematical Soc.
ISBN: 0821810200
Category : Mathematics
Languages : en
Pages : 418
Book Description
The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
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