Rassias, Themistocles M. 1951Overview
Publication Timeline
Most widely held works by
Themistocles M Rassias
Nonlinear analysis and variational problems in honor of George Isac
by P. M Pardalos
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7 editions published in 2010 in English and held by 390 WorldCat member libraries worldwide The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization. "Nonlinear Analysis and Variational Problems" is organized into two parts. Part I, Nonlinear Analysis, centers on stability issues for functional equations, fixed point
Approximation and computation in honor of Gradimir V. Milovanović
by Walter Gautschi
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8 editions published in 2011 in English and held by 346 WorldCat member libraries worldwide
Functional equations in mathematical analysis
by Themistocles M Rassias
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9 editions published in 2012 in English and held by 341 WorldCat member libraries worldwide
Essays in mathematics and its applications in honor of Stephen Smale's 80th birthday
by P. M Pardalos
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7 editions published in 2012 in English and held by 302 WorldCat member libraries worldwide {U200B}The volume is dedicated to Stephen Smale on the occasion of his 80th birthday. Besides his startling 1960 result of the proof of the Poincaré conjecture for all dimensions greater than or equal to five, Smale{u2019}s ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century and beyond. Stephen Smale has done pioneering work in differential topology, global analysis, dynamical systems, nonlinear functional analysis, numerical analysis, theory of computation and machine learning as well as applications in the physical and biological sciences and economics. In sum, Stephen Smale has manifestly broken the barriers among the different fields of mathematics and dispelled some remaining prejudices. He is indeed a universal mathematician. Smale has been honored with several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966), the National Medal of Science (1996) and theWolf Prize (2006/2007)
Differential geometry, calculus of variations, and their applications
by George M Rassias
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4 editions published in 1985 in English and held by 270 WorldCat member libraries worldwide
Stability of functional equations in random normed spaces
by Yeol Je Cho
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7 editions published in 2013 in English and held by 244 WorldCat member libraries worldwide 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 selfcontained 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 tnorms; stability theory of wellknown new functional equations in nonArchimedean 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
Finite sums decompositions in mathematical analysis
by Themistocles M Rassias
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10 editions published in 1995 in English and held by 230 WorldCat member libraries worldwide
Nonlinear analysis
by Themistocles M Rassias
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10 editions published between 1986 and 1987 in English and Undetermined and held by 227 WorldCat member libraries worldwide Theorem 2.2Proof; Theorem 2.3; Proof; 3. Smoothing Operators Combined with Elliptic Reqularizationand the Degree of Elliptic Regularization; Definition 3.1; Lemma 3.1; Proof; Lemma 3.2; Proof; Lemma 3.3; Proof; Theorem 3.1; Proof; Theorem 3.2; Proof; Remark 3.1; Remark 3.2; 4. Elliptic Regularization; Lemma 4 .1; Proof; Theorem 4.1; Proof; 5. Periodic Solutions of Nonlinear Hyperbolic Partial Differential Equations; REFERENCES; ON GENERALIZED POWER SERIES AND GENERALIZED OPERATIONAL CALCULUSAND ITS APPLICATION; 1. Introduction; Definition 1.1; Theorem 1.1; Theorem 1.2; Theorem 1.3
Selected studies, physicsastrophysics, mathematics, history of science : a volume dedicated to the memory of Albert Einstein
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9 editions published in 1982 in English and German and held by 196 WorldCat member libraries worldwide
Stability of functional equations in several variables
by Donald H Hyers
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9 editions published in 1998 in English and held by 176 WorldCat member libraries worldwide The notion of stability of functional equations has been an area of revision and development for the past 20 years, having its origins more than half a century ago when S. Ulam posed the fundamental problem and D.H. Hyers gave the first significant partial solution. This volume is unique in that (to date) none exists as a comprehensive examination to the subject. The authors present both classical results and their original research in an integrated and selfcontained fashion. Apart from the main topic of the stability of certain functional equations, related problems are discussed. These include the stability of the convex functional inequality and the stability of minimum points. The techniques used require some basic knowledge of functional analysis, algebra, and topology. The text could be used in graduate seminars or by researchers in the field
Topics in polynomials : extremal problems, inequalities, zeros
by G. V Milovanović
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9 editions published between 1994 and 1999 in English and held by 162 WorldCat member libraries worldwide
Inner product spaces and applications
by Themistocles M Rassias
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6 editions published in 1997 in English and held by 155 WorldCat member libraries worldwide
Topics in mathematical analysis : a volume dedicated to the memory of A.L. Cauchy
by Thermistocles M Rassias
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7 editions published in 1989 in English and held by 152 WorldCat member libraries worldwide 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
Survey on classical inequalities
by Themistocles M Rassias
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7 editions published in 2000 in English and held by 150 WorldCat member libraries worldwide "This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, approximation theory, numerical analysis and other subjects of mathematical analysis."BOOK JACKET
Topics in polynomials of one and several variables and their applications : volume dedicated to the memory of P.L. Chebyshev (18211894)
by Thermistocles M Rassias
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6 editions published in 1993 in English and held by 131 WorldCat member libraries worldwide 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
Functional equations and inequalities
by Themistocles M Rassias
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8 editions published in 2000 in English and held by 129 WorldCat member libraries worldwide "This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, integral transforms, and operational calculus."BOOK JACKET
Geometry in partial differential equations
by Agostino Prastaro
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7 editions published in 1994 in English and held by 124 WorldCat member libraries worldwide 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: MorsePalaisSmale 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
Global analysis, analysis on manifolds : dedicated to Marston Morse (18921976)
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8 editions published in 1983 in English and held by 120 WorldCat member libraries worldwide
Old and new aspects in spectral geometry
by M Craioveanu
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7 editions published between 2001 and 2011 in English and held by 118 WorldCat member libraries worldwide This work presents some classical as well as some very recent results and techniques concerning the spectral geometry corresponding to the LaplaceBeltrami operator and the Hodgede Rham operators. It treats many topics that are not usually dealt with in this field, such as the continuous dependence of the eigenvalues with respect to the Riemannian metric in the CINFINITYtopology, and some of their consequences, such as Uhlenbeck's genericity theorem; examples of nonisometric flat tori in all dimensions greater than or equal to four; Gordon's classical technique for constructing isospectral closed Riemannian manifolds; a detailed presentation of Sunada's technique and Pesce's approach to isospectrality; Gordon and Webb's example of nonisometric convex domains in Rn (n>=4) that are isospectral for both Dirichlet and Neumann boundary conditions; the ChanilloTrèves estimate for the first positive eigenvalue of the Hodgede Rham operator, etc. Significant applications are developed, and many open problems, references and suggestions for further reading are given. Several themes for additional research are pointed out. Audience: This volume is designed as an introductory text for mathematicians and physicists interested in global analysis, analysis on manifolds, differential geometry, linear and multilinear algebra, and matrix theory. It is accessible to readers whose background includes basic Riemannian geometry and functional analysis. These mathematical prerequisites are covered in the first two chapters, thus making the book largely selfcontained
Analytic and geometric inequalities and applications
by Themistocles M Rassias
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8 editions published in 1999 in English and held by 113 WorldCat member libraries worldwide This volume is devoted to recent advances in a variety of inequalities in mathematical analysis and geometry. Subjects dealt with include: differential and integral inequalities; fractional order inequalities of Hardy type; multidimensional integral inequalities; Grüss' inequality; LaguerreSamuelson inequality; Opial type inequalities; Furuta inequality; distortion inequalities; problem of infimum in the positive cone; external problems for polynomials; Chebyshev polynomials; bounds for the zeros of polynomials; open problems on eigenvalues of the Laplacian; obstacle boundary value problems; bounds on entropy measures for mixed populations; connections between the theory of univalent functions and the theory of special functions; and degree of convergence for a class of linear operators. A wealth of applications of the above is also included. <br/> <em>Audience:</em> This book will be of interest to mathematicians whose work involves real functions, functions of a complex variable, special functions, integral transforms, operational calculus, or functional analysis more
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Associated Subjects
Approximation theory Astrophysics Bifurcation theory Calculus of variations Cauchy, Augustin Louis,Baron, Chebyshev polynomials Computer science Computer scienceMathematics Decomposition method Differentiable dynamical systems Differential equations, Partial Einstein, Albert, Extremal problems (Mathematics) Fixed point theory Functional analysis Functional equations Functional equationsNumerical solutions Functions, Special Functions of complex variables Functions of several real variables Geometry Geometry, Differential Global analysis (Mathematics) Global differential geometry Hilbert space Inequalities (Mathematics) Inner product spaces Integral transforms Manifolds (Mathematics) Mathematical analysis Mathematical optimization Mathematics Numerical analysis Operations research Operator theory Polynomials Random operators Science Spectral geometry Variational principles

Alternative Names
Rassias, Th. M.
Rassias, Th. M. 1951
Rassias, Th. M. (Themistocles M.), 1951
Rassias, Themistocles Michael 1951
Rassias, Themistoklēs M., 1951
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