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A Formal Background to Mathematics: Logic, Sets and Numbers

Posted By: AvaxGenius
A Formal Background to Mathematics: Logic, Sets and Numbers

A Formal Background to Mathematics: Logic, Sets and Numbers by Robert Edwards
English | PDF | 1979 | 968 Pages | ISBN : 038790431X | 41.8 MB

§1 Faced by the questions mentioned in the Preface I was prompted to write this book on the assumption that a typical reader will have certain characteristics. He will presumably be familiar with conventional accounts of certain portions of mathematics and with many so-called mathematical statements, some of which (the theorems) he will know (either because he has himself studied and digested a proof or because he accepts the authority of others) to be true, and others of which he will know (by the same token) to be false.

Linearization Models for Complex Dynamical Systems (Repost)

Posted By: AvaxGenius
Linearization Models for Complex Dynamical Systems (Repost)

Linearization Models for Complex Dynamical Systems: Topics in Univalent Functions, Functional Equations and Semigroup Theory Mark Elin by David Shoikhet
English | PDF | 2010 | 271 Pages | ISBN : 3034605080 | 2 MB

This book provides valuable insights into complex analysis, dynamical systems, geometric function theory and operator theory. Intended for a broad spectrum of readers, ranging from undergraduate and graduate mathematics students to active researchers, it offers extensive coverage of recent advances in geometric function theory, including the theory of starlike and spirallike functions with respect to a boundary point. Of particular interest is its treatment of continuous time semigroups, about which little has been previously known, emphasizing the use of generation theory for continuous dynamical systems.

On Functions and Functional Equations

Posted By: roxul
On Functions and Functional Equations

Smital, "On Functions and Functional Equations"
English | ISBN: 0852744188 | 1988 | 164 pages | PDF | 10 MB

Functional Equations in Mathematical Analysis

Posted By: AvaxGenius
Functional Equations in Mathematical Analysis

Functional Equations in Mathematical Analysis by Themistocles M. Rassias
English | PDF(Repost),EPUB | 2012 | 744 Pages | ISBN : 1461400546 | 14.8 MB

The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research.