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Mathematics- Real Functions, Complementary Series in Mathematics. ... Read more

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Originally published in 1905-1912.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more

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Most books devoted to the theory of the integral have ignored the nonabsolute integrals, despite the fact that the journal literature relating to these has become richer and richer. The aim of this monograph is to fill this gap, to perform a study on the large number of classes of real functions which have been introduced in this context, and to illustrate them with many examples. This book reports on some recent advances in the theory of real functions and can serve as a textbook for a course in the subject, and to stimulate further research in this exciting field. ... Read more

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The history of mathematics is, to a considerable extent, connected with the study of solutions of the equation f(x)=a=const for functions f(x) of one real or complex variable.Therefore, it is surprising that we know very little about solutions of u(x,y)=A=const. for functions of two real variables.These two solutions, called level of sets, are very important with regard to applications in physics, biology and economics as they make a map of appropriate processes described by the function u(x,y) for given parameters (x,y).In the present volume we study a concept, Gamma-lines which generalizes the concept of levels of sets and, at the same time, the concept of a-points.The aim of the author is to provide a book on Gamma-lines for the broad specialist and to show the large range of their field of applications. The general methods proposed in this volume will be of great use to both physicists and engineers. ... Read more