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The Concept of a Function

The Concept of a Function PDF Author: James D. Bristol
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 66

Book Description

The Concept of a Function

The Concept of a Function PDF Author: James D. Bristol
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 66

Book Description

An Introduction to the Theory of Real Functions

An Introduction to the Theory of Real Functions PDF Author: Stanislaw Lojasiewicz
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 248

Book Description
A concise, classical approach to the theory of real functions, set in the topological context of metric spaces. Newly translated by G. H. Lawden of the Univ. of Sussex and expanded from the earlier Polish editions to include remarks on the extension of finitely many additive functions to a measure, construction of a continuous, non-differential function of a general type, the Banach-Vitali theorem, and Stepanov's theorem. Prerequisites are set theory, topology, and calculus.

The Structure of Functions

The Structure of Functions PDF Author: Hans Triebel
Publisher: Birkhäuser
ISBN: 3034882572
Category : Mathematics
Languages : en
Pages : 435

Book Description
This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet representations. It paves the way to sharp inequalities and embeddings in function spaces, spectral theory of fractal elliptic operators, and a regularity theory of some semi-linear equations. The book is self-contained, although some parts may be considered as a continuation of the author's book "Fractals and Spectra" (MMA 91). It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.

Elements of the Theory of Functions

Elements of the Theory of Functions PDF Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486601544
Category : Mathematics
Languages : en
Pages : 161

Book Description
General background: complex numbers, linear functions, sets and sequences, conformal mapping. Detailed proofs.

A Treatise on the Theory of Functions

A Treatise on the Theory of Functions PDF Author: James Harkness
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 544

Book Description

An Examination of High School Students' Understanding of the Concept of Function

An Examination of High School Students' Understanding of the Concept of Function PDF Author: Anne Janes Papakonstantinou
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 316

Book Description

The Theory of Functions

The Theory of Functions PDF Author: Edward Charles Titchmarsh
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 472

Book Description

Theory of Functions

Theory of Functions PDF Author: Joseph Fels Ritt
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 200

Book Description
Examines functions such as the real number system, the theory of limits, linear point sets, derivatives, curves, and series among other mathematical theories.

Function Spaces and Potential Theory

Function Spaces and Potential Theory PDF Author: David R. Adams
Publisher: Springer Science & Business Media
ISBN: 3662032821
Category : Mathematics
Languages : en
Pages : 372

Book Description
"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society

Function Theory in the Unit Ball of Cn

Function Theory in the Unit Ball of Cn PDF Author: W. Rudin
Publisher: Springer Science & Business Media
ISBN: 1461380987
Category : Mathematics
Languages : en
Pages : 449

Book Description
Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the J-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e., the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more complicated machinery (developed largely by Henkin and his co-workers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 14-16) it would, however, have been unnatural to confine our attention exclusively to the ball, and no significant simplifications would have resulted from such a restriction.
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