A Course of Higher Mathematics PDF
By:V. I. Smirnov
Published on 2014-07-10 by Elsevier
International Series of Monographs in Pure and Applied Mathematics, Volume 62: A Course of Higher Mathematics, V: Integration and Functional Analysis focuses on the theory of functions. The book first discusses the Stieltjes integral. Concerns include sets and their powers, Darboux sums, improper Stieltjes integral, jump functions, Helly’s theorem, and selection principles. The text then takes a look at set functions and the Lebesgue integral. Operations on sets, measurable sets, properties of closed and open sets, criteria for measurability, and exterior measure and its properties are discussed. The text also examines set functions, absolute continuity, and generalization of the integral. Absolutely continuous set functions; absolutely continuous functions of several variables; supplementary propositions; and the properties of the Hellinger integral are presented. The text also focuses on metric and normed spaces. Separability, compactness, linear functionals, conjugate spaces, and operators in normed spaces are underscored. The book also discusses Hilbert space. Linear functionals, projections, axioms of the space, sequences of operators, and weak convergence are described. The text is a valuable source of information for students and mathematicians interested in studying the theory of functions.
This Book was ranked at 36 by Google Books for keyword mathematics about sets.
Book ID of A Course of Higher Mathematics's Books is yfPiBQAAQBAJ, Book which was written byV. I. Smirnovhave ETAG "dwDmNLGrISA"
Book which was published by Elsevier since 2014-07-10 have ISBNs, ISBN 13 Code is 9781483139371 and ISBN 10 Code is 1483139379
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Book which have "652 Pages" is Printed at BOOK under CategoryMathematics
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