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Critical Point Theory and Its Applications
ISBN: 9780387329659 / Angielski / Twarda / 318 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results than most other methods. Moreover, they apply in a very large number of situations. It was realized many years ago that the solutions of a great number of problems are in effect critical points of functionals. Critical Point Theory and Its Applications presents some of the latest research in the area of critical point theory. Researchers have obtained many new results recently using this approach, and in most cases comparable results have not been... Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results tha... |
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The Rise and Development of the Theory of Series Up to the Early 1820s
ISBN: 9780387734675 / Angielski / Twarda / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of series in the 17th and 18th centuries poses several interesting problems to historians. Indeed, mathematicians of the time derived num- ous results that range from the binomial theorem to the Taylor formula, from the power series expansions of elementary functions to trigonometric series, from Stirling s series to series solution of di?erential equations, from theEuler MaclaurinsummationformulatotheLagrangeinversiontheorem, from Laplace s theory of generating functions to the calculus of operations, etc. Most of these results were, however, derived using methods that would be...
The theory of series in the 17th and 18th centuries poses several interesting problems to historians. Indeed, mathematicians of the time derived num- ...
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Problem Book for First Year Calculus
ISBN: 9780387909202 / Angielski / Twarda / 385 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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Problems in Real and Complex Analysis
ISBN: 9780387977669 / Angielski / Twarda / 489 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems. This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and ... |
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Boundary Value Problems for Operator Differential Equations
ISBN: 9780792303817 / Angielski / Twarda / 347 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One service mathematics has rendered the "Et moi, "'f si favait su comment en revenir. je n 'y serais point alleC human raoe. It hat put common sense back where it belongs. on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non. The series is divergent; therefore we may be smse'. Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a...
One service mathematics has rendered the "Et moi, "'f si favait su comment en revenir. je n 'y serais point alleC human raoe. It hat put common sense ...
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Inequalities Involving Functions and Their Integrals and Derivatives
ISBN: 9780792313304 / Angielski / Twarda / 587 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One service mathematics has rendered the l moil ..., Ii j'avait su comment en revenir, je n'y serais point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a...
One service mathematics has rendered the l moil ..., Ii j'avait su comment en revenir, je n'y serais point aUe.' human race. It has put common sense b...
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Ergodic Theorems for Group Actions: Informational and Thermodynamical Aspects
ISBN: 9780792317173 / Angielski / Twarda / 399 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One service mathematics has rendered the 'Et moi, ..., si j'avait Sil comment en revenir, je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences_ Applying a...
One service mathematics has rendered the 'Et moi, ..., si j'avait Sil comment en revenir, je n'y serais point aIle.' human race. It has put common sen...
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The Hypergeometric Approach to Integral Transforms and Convolutions
ISBN: 9780792328568 / Angielski / Twarda / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to develop a new approach which we called the hyper geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of integro-differential equations, operational calculus, and evaluation of integrals. We hope that this simple approach, which will be explained below, allows students, post graduates in mathematics, physicists and technicians, and serious mathematicians and researchers to find in this book new interesting results in the theory of integral transforms, special functions, and convolutions. The idea of this...
The aim of this book is to develop a new approach which we called the hyper geometric one to the theory of various integral transforms, convolutions, ...
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Complete Minimal Surfaces of Finite Total Curvature
ISBN: 9780792330127 / Angielski / Twarda / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph contains an exposition of the theory of minimal surfaces in Euclidean space, with an emphasis on complete minimal surfaces of finite total curvature. Our exposition is based upon the philosophy that the study of finite total curvature complete minimal surfaces in R3, in large measure, coincides with the study of meromorphic functions and linear series on compact Riemann sur faces. This philosophy is first indicated in the fundamental theorem of Chern and Osserman: A complete minimal surface M immersed in R3 is of finite total curvature if and only if M with its induced...
This monograph contains an exposition of the theory of minimal surfaces in Euclidean space, with an emphasis on complete minimal surfaces of finite to...
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Noncommutative Probability
ISBN: 9780792331339 / Angielski / Twarda / 354 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The intention of this book is to explain to a mathematician having no previous knowledge in this domain, what "noncommutative probability" is. So the first decision was not to concentrate on a special topic. For different people, the starting points of such a domain may be different. In what concerns this question, different variants are not discussed. One such variant comes from Quantum Physics. The motivations in this book are mainly mathematical; more precisely, they correspond to the desire of developing a probability theory in a new set-up and obtaining results analogous to the classical...
The intention of this book is to explain to a mathematician having no previous knowledge in this domain, what "noncommutative probability" is. So the ...
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Navier-Stokes Equations in Irregular Domains
ISBN: 9780792335092 / Angielski / Twarda / 566 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Holder spaces, and the investigation of the smoothness of their solutions. This allows one to deal with the special problems that arise in the presence of edges or angular points in the plane case, at the boundary or noncompact boundaries. Such problems cannot be dealt with in any of the usual ways.
Audience Graduate... The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be give...
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Evolution Processes and the Feynman-Kac Formula
ISBN: 9780792338437 / Angielski / Twarda / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an outgrowth of ideas originating from 1. Kluvanek. Unfortunately, Professor Kluvanek did not live to contribute to the project of writing up in a systematic form, the circle of ideas to which the present work is devoted. It is more than likely that with his input, the approach and areas of emphasis of the resulting exposition would have been quite different from what we have here. Nevertheless, the stamp of Kluvanek's thought and philosophy (but not necessarily his approval) abounds throughout this book. Although the title gives no indication, integration theory in vector spaces...
This book is an outgrowth of ideas originating from 1. Kluvanek. Unfortunately, Professor Kluvanek did not live to contribute to the project of writin...
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Advanced Topics in Difference Equations
ISBN: 9780792345213 / Angielski / Twarda / 510 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. . The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to occupy a central position in Applicable Analysis. In fact, in the last five years, the proliferation of the subject is witnessed by hundreds of research articles and several monographs, two International Conferences and numerous Special Sessions, and a new Journal as well as several special issues of existing journals, all devoted to the theme of Difference Equations. Now even those experts who believe in the universality of differential...
. The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to o...
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The Analysis of Solutions of Elliptic Equations
ISBN: 9780792345312 / Angielski / Twarda / 484 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is intended as a continuation of my book "Parametrix Method in the Theory of Differential Complexes" (see 291]). There, we considered complexes of differential operators between sections of vector bundles and we strived more than for details. Although there are many applications to for maximal generality overdetermined systems, such an approach left me with a certain feeling of dissat- faction, especially since a large number of interesting consequences can be obtained without a great effort. The present book is conceived as an attempt to shed some light on these new applications....
This book is intended as a continuation of my book "Parametrix Method in the Theory of Differential Complexes" (see 291]). There, we considered compl...
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Basic Topological Structures of Ordinary Differential Equations
ISBN: 9780792349518 / Angielski / Twarda / 522 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is a detailed study of topological effects related to continuity of the dependence of solutions on initial values and parameters. This allows us to develop cheaply a theory which deals easily with equations having singularities and with equations with multivalued right hand sides (differential inclusions). An explicit description of corresponding topological structures expands the theory in the case of equations with continuous right hand sides also. In reality, this is a new science where Ordinary Differential Equations, General Topology, Integration theory and...
The aim of this book is a detailed study of topological effects related to continuity of the dependence of solutions on initial values and parameters....
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Logarithms and Antilogarithms: An Algebraic Analysis Approach
ISBN: 9780792349747 / Angielski / Twarda / 357 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume proposes and explores a new definition of logarithmic mappings as invertible selectors of multifunctions induced by linear operators with domains and ranges in an algebra over a field of characteristic zero. Several previously published results are presented. Amongst the applications of logarithmic and antilogarithmic mappings are the solution of linear and nonlinear equations in algebras of square matrices. Some results may also provide numerical algorithms for the approximation of solutions.
This volume proposes and explores a new definition of logarithmic mappings as invertible selectors of multifunctions induced by linear operators with ...
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Functional Differential Equations: Application of I-Smooth Calculus
ISBN: 9780792356899 / Angielski / Twarda / 168 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Beginning with the works of N.N.Krasovskii 81, 82, 83], which clari fied the functional nature of systems with delays, the functional approach provides a foundation for a complete theory of differential equations with delays. Based on the functional approach, different aspects of time-delay system theory have been developed with almost the same completeness as the corresponding field of ODE (ordinary differential equations) the ory. The term functional differential equations (FDE) is used as a syn onym for systems with delays 1. The systematic presentation of these re sults and further...
Beginning with the works of N.N.Krasovskii 81, 82, 83], which clari fied the functional nature of systems with delays, the functional approach provid...
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Introduction to Infinite Dimensional Stochastic Analysis
ISBN: 9780792362081 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries. Motivated by problems in mathematical physics, the first steps in this field were taken by V. Volterra, R. GateallX, P. Levy and M. Frechet, among others (see the preface to Levy 2]). Nevertheless, the most fruitful direction in this field is the infinite dimensional integration theory initiated by N. Wiener and A. N. Kolmogorov which is closely related to the developments of the theory of stochastic processes. It was Wiener who constructed for the first time in 1923 a...
The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries. Motivated by problems in ...
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Functional Equations and Inequalities
ISBN: 9780792364849 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Functional Equations andInequalities provides an extensive studyofsome of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition oftrigonometric functions, the functional equation ofthe square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution ofzeros and inequalities for zeros of algebraic polynomials, a qualitative study ofLobachevsky's...
Functional Equations andInequalities provides an extensive studyofsome of the most important topics of current interest in functional equations and in...
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Differential Inclusions in a Banach Space
ISBN: 9780792366188 / Angielski / Twarda / 302 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph 19] which was devoted to the development of a unified approach to studying differential inclusions, whose values of the right hand sides are compact, not necessarily convex subsets of a Banach space. This approach relies on ideas and methods of modem functional analysis, general topology, the theory of multi-valued mappings and continuous selectors. Although the basic content of the previous monograph has been remained the same this monograph has been partly re-organized and...
Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph 19] which was devoted to the dev...
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