Mathematical Analysis: A Special Course focuses on the study of mathematical analysis. The book first discusses set theory, including operations on sets, countable sets, equivalence of sets, and sets of the power of the continuum. The text also discusses the elements of the theory of metric and normed linear spaces. Topics include convergent sequences and closed sets; theorem of the fixed point; normed linear spaces; and continuous functions and compact spaces. The selection also discusses the calculus of variations; the theory of the integral; and geometry of Hilbert space. The text also covers differentiation and integration, including functions of bounded variation, derivative of a non-decreasing function, differentiation of functions of sets, and the Stieltjes integral. The book also looks at the Fourier transform. Topics include convergence of Fourier series; Laplace transform; Fourier transform in the case of various independent variables; and quasi-analytic classes of functions. The text is a valuable source of data for readers interested in the study of mathematical analysis.

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Yes, you can access Mathematical Analysis by G. Ye. Shilov, I.N. Sneddon,M. Stark,K.A.H. Gravett in PDF and/or ePUB format, as well as other popular books in Mathematik & Mathematische Analyse. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Pergamon

Year

2016

ISBN

9781483139135

Topic

Mathematik

Subtopic

Mathematische Analyse

Front Cover
Mathematical Analysis
Copyright Page
PREFATORY NOTE
Table of Contents
FOREWORD
CHAPTER I. SETS
CHAPTER II. METRIC SPACES
CHAPTER III. THE CALCULUS OF VARIATIONS
CHAPTER IV. THEORY OF THE INTEGRAL
CHAPTER V. GEOMETRY OF HILBERT SPACE
CHAPTER VI. DIFFERENTIATION AND INTEGRATION
CHAPTER VII. THE FOURIER TRANSFORM
SUPPLEMENT
INDEX
OTHER TITELS IN THE SERIES