Introduction To The Theory Of Real Functions
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Author | : Jewgeni H. Dshalalow |
Publisher | : CRC Press |
Total Pages | : 583 |
Release | : 2000-09-28 |
Genre | : Mathematics |
ISBN | : 1420036890 |
Download Real Analysis Book in PDF, Epub and Kindle
Designed for use in a two-semester course on abstract analysis, REAL ANALYSIS: An Introduction to the Theory of Real Functions and Integration illuminates the principle topics that constitute real analysis. Self-contained, with coverage of topology, measure theory, and integration, it offers a thorough elaboration of major theorems, notions, and co
Author | : Stanislaw Lojasiewicz |
Publisher | : |
Total Pages | : 248 |
Release | : 1988-08-18 |
Genre | : Mathematics |
ISBN | : |
Download An Introduction to the Theory of Real Functions Book in PDF, Epub and Kindle
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.
Author | : A. C. M. van Rooij |
Publisher | : Cambridge University Press |
Total Pages | : 222 |
Release | : 1982-03-25 |
Genre | : Mathematics |
ISBN | : 9780521239448 |
Download A Second Course on Real Functions Book in PDF, Epub and Kindle
When considering a mathematical theorem one ought not only to know how to prove it but also why and whether any given conditions are necessary. All too often little attention is paid to to this side of the theory and in writing this account of the theory of real functions the authors hope to rectify matters. They have put the classical theory of real functions in a modern setting and in so doing have made the mathematical reasoning rigorous and explored the theory in much greater depth than is customary. The subject matter is essentially the same as that of ordinary calculus course and the techniques used are elementary (no topology, measure theory or functional analysis). Thus anyone who is acquainted with elementary calculus and wishes to deepen their knowledge should read this.
Author | : John Meigs Hubbell Olmsted |
Publisher | : |
Total Pages | : 646 |
Release | : 1959 |
Genre | : Functions of real variables |
ISBN | : |
Download Real Variables Book in PDF, Epub and Kindle
Author | : Lawrence M Graves |
Publisher | : Courier Corporation |
Total Pages | : 361 |
Release | : 2012-01-27 |
Genre | : Mathematics |
ISBN | : 0486158136 |
Download The Theory of Functions of Real Variables Book in PDF, Epub and Kindle
This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literature conclude each chapter. 1956 edition.
Author | : John Edensor Littlewood |
Publisher | : |
Total Pages | : 82 |
Release | : 1926 |
Genre | : Functions |
ISBN | : |
Download The Elements of the Theory of Real Functions Book in PDF, Epub and Kindle
Author | : John Meigs Hubbell Olmsted |
Publisher | : |
Total Pages | : 332 |
Release | : 1956 |
Genre | : Mathematics |
ISBN | : |
Download Intermediate Analysis Book in PDF, Epub and Kindle
Author | : Ralph Philip Boas |
Publisher | : |
Total Pages | : 216 |
Release | : 1972 |
Genre | : Functions of real variables |
ISBN | : |
Download A Primer of Real Functions Book in PDF, Epub and Kindle
Author | : K. Ko |
Publisher | : Springer Science & Business Media |
Total Pages | : 318 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 1468468022 |
Download Complexity Theory of Real Functions Book in PDF, Epub and Kindle
Starting with Cook's pioneering work on NP-completeness in 1970, polynomial complexity theory, the study of polynomial-time com putability, has quickly emerged as the new foundation of algorithms. On the one hand, it bridges the gap between the abstract approach of recursive function theory and the concrete approach of analysis of algorithms. It extends the notions and tools of the theory of computability to provide a solid theoretical foundation for the study of computational complexity of practical problems. In addition, the theoretical studies of the notion of polynomial-time tractability some times also yield interesting new practical algorithms. A typical exam ple is the application of the ellipsoid algorithm to combinatorial op timization problems (see, for example, Lovasz [1986]). On the other hand, it has a strong influence on many different branches of mathe matics, including combinatorial optimization, graph theory, number theory and cryptography. As a consequence, many researchers have begun to re-examine various branches of classical mathematics from the complexity point of view. For a given nonconstructive existence theorem in classical mathematics, one would like to find a construc tive proof which admits a polynomial-time algorithm for the solution. One of the examples is the recent work on algorithmic theory of per mutation groups. In the area of numerical computation, there are also two tradi tionally independent approaches: recursive analysis and numerical analysis.
Author | : Vasile Ene |
Publisher | : Springer |
Total Pages | : 321 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540494006 |
Download Real Functions - Current Topics Book in PDF, Epub and Kindle
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.