Themistocles RASSIAS's Books

Differential Geometry, Calculus of Variations, and Their Applications

By: George M. Rassias,Themistocles M. Rassias

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Differential Geometry, Calculus of Variations, and Their Applications

By: George M. Rassias,Themistocles M. Rassias

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.

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550

Publisher

CRC Press

Published Date

ISBN 10

1000950727

ISBN 13

9781000950724

Topics In Polynomials: Extremal Problems, Inequalities, Zeros

By: Gradimir V Milovanovic,Themistocles M Rassias,D S Mitrinovic

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Topics In Polynomials: Extremal Problems, Inequalities, Zeros

By: Gradimir V Milovanovic,Themistocles M Rassias,D S Mitrinovic

The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.

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Page Count

844

Publisher

World Scientific

Published Date

ISBN 10

9814506486

ISBN 13

9789814506489

Topics in Mathematical Analysis

A Volume Dedicated to the Memory of A.L. Cauchy

By: Augustin Louis Baron Cauchy,Themistocles M. Rassias

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Topics in Mathematical Analysis

A Volume Dedicated to the Memory of A.L. Cauchy

By: Augustin Louis Baron Cauchy,Themistocles M. Rassias

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.

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Page Count

1010

Publisher

World Scientific

Published Date

ISBN 10

9971506661

ISBN 13

9789971506667

Stability of Functional Equations in Random Normed Spaces

By: Yeol Je Cho,Themistocles M. Rassias,Reza Saadati

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Stability of Functional Equations in Random Normed Spaces

By: Yeol Je Cho,Themistocles M. Rassias,Reza Saadati

This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration and guidance for mathematicians worldwide to investigate this extensive domain of research. The book presents a self-contained survey of recent and new results on topics including basic theory of random normed spaces and related spaces; stability theory for new function equations in random normed spaces via fixed point method, under both special and arbitrary t-norms; stability theory of well-known new functional equations in non-Archimedean random normed spaces; and applications in the class of fuzzy normed spaces. It contains valuable results on stability in random normed spaces, and is geared toward both graduate students and research mathematicians and engineers in a broad area of interdisciplinary research.

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255

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461484774

ISBN 13

9781461484776

Stability of Functional Equations in Several Variables

By: D.H. Hyers,G. Isac,Themistocles Rassias

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Stability of Functional Equations in Several Variables

By: D.H. Hyers,G. Isac,Themistocles Rassias

The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which were discussed. Furthermore, it should be mentioned that wider interest in this subject area has increased substantially over the last years, yet the pre sentation of research has been confined mainly to journal articles. The time seems ripe for a comprehensive introduction to this subject, which is the purpose of the present work. This book is the first to cover the classical results along with current research in the subject. An attempt has been made to present the material in an integrated and self-contained fashion. In addition to the main topic of the stability of certain functional equa tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points. A sad note. During the final stages of the manuscript our beloved co author and friend Professor Donald H. Hyers passed away.

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Page Count

323

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461217903

ISBN 13

9781461217909

Geometry in Partial Differential Equations

By: Agostino Prastaro,Themistocles M. Rassias

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Geometry in Partial Differential Equations

By: Agostino Prastaro,Themistocles M. Rassias

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.

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Page Count

482

Publisher

World Scientific

Published Date

ISBN 10

9810214073

ISBN 13

9789810214074

Nonlinear Analysis

By: Themistocles M. Rassias

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Nonlinear Analysis

By: Themistocles M. Rassias

http://www.worldscientific.com/worldscibooks/10.1142/0295

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574

Publisher

World Scientific

Published Date

ISBN 10

9971501406

ISBN 13

9789971501402

Old and New Aspects in Spectral Geometry

By: M.-E. Craioveanu,Mircea Puta,Themistocles RASSIAS

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Old and New Aspects in Spectral Geometry

By: M.-E. Craioveanu,Mircea Puta,Themistocles RASSIAS

It is known that to any Riemannian manifold (M, g ) , with or without boundary, one can associate certain fundamental objects. Among them are the Laplace-Beltrami opera tor and the Hodge-de Rham operators, which are natural [that is, they commute with the isometries of (M,g)], elliptic, self-adjoint second order differential operators acting on the space of real valued smooth functions on M and the spaces of smooth differential forms on M, respectively. If M is closed, the spectrum of each such operator is an infinite divergent sequence of real numbers, each eigenvalue being repeated according to its finite multiplicity. Spectral Geometry is concerned with the spectra of these operators, also the extent to which these spectra determine the geometry of (M, g) and the topology of M. This problem has been translated by several authors (most notably M. Kac). into the col loquial question "Can one hear the shape of a manifold?" because of its analogy with the wave equation. This terminology was inspired from earlier results of H. Weyl. It is known that the above spectra cannot completely determine either the geometry of (M , g) or the topology of M. For instance, there are examples of pairs of closed Riemannian manifolds with the same spectra corresponding to the Laplace-Beltrami operators, but which differ substantially in their geometry and which are even not homotopically equiva lent.

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Page Count

447

Publisher

Springer Science & Business Media

Published Date

ISBN 10

940172475X

ISBN 13

9789401724753

Differential Geometry, Calculus of Variations, and Their Applications

By: George M. Rassias,Themistocles M. Rassias

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Differential Geometry, Calculus of Variations, and Their Applications

By: George M. Rassias,Themistocles M. Rassias

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Solve jigsaw puzzle

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Page Count

550

Publisher

CRC Press

Published Date

ISBN 10

1000950727

ISBN 13

9781000950724

Book's by Themistocles RASSIAS

Differential Geometry, Calculus of Variations, and Their Applications

Differential Geometry, Calculus of Variations, and Their Applications

Topics In Polynomials: Extremal Problems, Inequalities, Zeros

Topics In Polynomials: Extremal Problems, Inequalities, Zeros

Topics in Mathematical Analysis

Topics in Mathematical Analysis

Stability of Functional Equations in Random Normed Spaces

Stability of Functional Equations in Random Normed Spaces

Stability of Functional Equations in Several Variables

Stability of Functional Equations in Several Variables

Geometry in Partial Differential Equations

Geometry in Partial Differential Equations

Nonlinear Analysis

Nonlinear Analysis

Old and New Aspects in Spectral Geometry

Old and New Aspects in Spectral Geometry

Differential Geometry, Calculus of Variations, and Their Applications

Differential Geometry, Calculus of Variations, and Their Applications

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