Themistocles (Pseud ).'s Books

This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.

This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of supermanifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very important especially after the appearance of the Atiyah-Singer index theorem, which provides a link between geometry and topology.

This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.

This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.

The goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology. It provides an attempt to study various approaches in the topological applications and influence to Function Theory, Calculus of Variations, Functional Analysis and Approximation Theory. The volume is dedicated to the memory of S Stoilow.

This brief explores the Krasnosel'skiĭ-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods.

This volume aims at surveying and exposing the main ideas and principles accumulated in a number of theories of Mathematical Analysis. The underlying methodological principle is to develop a unified approach to various kinds of problems. In the papers presented, outstanding research scientists discuss the present state of the art and the broad spectrum of topics in the theory.

Book's by Themistocles (Pseud ).

Topics in Nonlinear Analysis & Applications

Topics in Nonlinear Analysis & Applications

Geometry in Partial Differential Equations

Geometry in Partial Differential Equations

Topics in Polynomials of One and Several Variables and Their Applications

Topics in Polynomials of One and Several Variables and Their Applications

Differential Geometry, Calculus of Variations, and Their Applications

Differential Geometry, Calculus of Variations, and Their Applications

Analysis and Topology

Analysis and Topology

The Krasnosel'skiĭ-Mann Iterative Method

The Krasnosel'skiĭ-Mann Iterative Method

Topics in Mathematical Analysis

Topics in Mathematical Analysis

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