Spectral Theory and Nonlinear Functional Analysis
ISBN: 9781584882497 / Angielski / Miękka / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This Research Note introduces a new Morse (index) theory that is easie r to use, less technical, and more flexible than existing theories. Un til now, these results have appeared only in scattered journals. The a uthor provides a self-contained treatment with full proofs of the majo r results and complete with applications of the theory to Hamiltonian systems and other areas of current research, including wave equations, Chern-Simon functionals, and Lorentzian geometry
This Research Note introduces a new Morse (index) theory that is easie r to use, less technical, and more flexible than existing theories. Un til now,...
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cena:
760,10 zł |
Elements of Real Analysis
ISBN: 9781584886617 / Angielski / Twarda / 436 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Focusing on one of the main pillars of mathematics, Elements of Real Analysis provides a solid foundation in analysis, stressing the importance of two elements. The first building block comprises analytical skills and structures needed for handling the basic notions of limits and continuity in a simple concrete setting while the second component involves conducting analysis in higher dimensions and more abstract spaces. Largely self-contained, the book begins with the fundamental axioms of the real number system and gradually develops the core of real analysis. The first few chapters present...
Focusing on one of the main pillars of mathematics, Elements of Real Analysis provides a solid foundation in analysis, stressing the importance of two...
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cena:
557,40 zł |
An Introduction to Echo Analysis: Scattering Theory and Wave Propagation
ISBN: 9781846288517 / Angielski / Twarda / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The use of various types of wave energy is an increasingly promising, non-destructive means of detecting objects and of diagnosing the properties of quite complicated materials. An analysis of this technique requires an understanding of how waves evolve in the medium of interest and how they are scattered by inhomogeneities in the medium. These scattering phenomena can be thought of as arising from some perturbation of a given, known system and they are analysed by developing a scattering theory. This monograph provides an introductory account of scattering phenomena and a guide to... The use of various types of wave energy is an increasingly promising, non-destructive means of detecting objects and of diagnosing the properties o... |
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cena:
389,98 zł |
Lecture Notes on Complex Analysis
ISBN: 9781860946424 / Angielski / Twarda / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford College, London, and King's College, London, as part of the BSc. and MSci. program. Its aim is to provide a gentle yet rigorous first course on complex analysis.Metric space aspects of the complex plane are discussed in detail, making this text an excellent introduction to metric space theory. The complex exponential and trigonometric functions are defined from first principles and great care is taken to derive their familiar properties. In...
This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford Colle...
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cena:
557,40 zł |
Lecture Notes on Complex Analysis
ISBN: 9781860946431 / Angielski / Miękka / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford College, London, and King's College, London, as part of the BSc. and MSci. program. Its aim is to provide a gentle yet rigorous first course on complex analysis.Metric space aspects of the complex plane are discussed in detail, making this text an excellent introduction to metric space theory. The complex exponential and trigonometric functions are defined from first principles and great care is taken to derive their familiar properties. In...
This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford Colle...
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cena:
293,91 zł |
Concentration Compactness: Functional-Analytic Grounds and Applications
ISBN: 9781860946660 / Angielski / Twarda / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a source book that usefully combines a concise formulation of the method, a range of important applications to variational problems, and background material concerning manifolds, non-compact transformation groups and functional spaces.Highlighting the role in functional analysis of invariance and, in particular, of non-compact transformation groups, the book uses the same building blocks, such as partitions of...
Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This un...
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cena:
461,13 zł |
Concentration Compactness: Functional-Analytic Grounds and Applications
ISBN: 9781860946677 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a source book that usefully combines a concise formulation of the method, a range of important applications to variational problems, and background material concerning manifolds, non-compact transformation groups and functional spaces.Highlighting the role in functional analysis of invariance and, in particular, of non-compact transformation groups, the book uses the same building blocks, such as partitions of...
Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This un...
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cena:
228,03 zł |
Analysis I: Convergence, Elementary Functions
ISBN: 9783540059233 / Angielski / Miękka / 430 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both... Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of ... |
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cena:
272,98 zł |
Spectral Properties of Noncommuting Operators
ISBN: 9783540219231 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Forming functions of operators is a basic task of many areas of linear analysis and quantum physics. Weyl's functional calculus, initially applied to the position and momentum operators of quantum mechanics, also makes sense for finite systems of selfadjoint operators. By using the Cauchy integral formula available from Clifford analysis, the book examines how functions of a finite collection of operators can be formed when the Weyl calculus is not defined. The technique is applied to the determination of the support of the fundamental solution of a symmetric hyperbolic system of partial... Forming functions of operators is a basic task of many areas of linear analysis and quantum physics. Weyl's functional calculus, initially applied ... |
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cena:
136,31 zł |
Geometric Aspects of Functional Analysis: Israel Seminar 1996-2000
ISBN: 9783540410706 / Angielski / Miękka / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume of original research papers from the Israeli GAFA seminar during the years 1996-2000 not only reports on more traditional directions of Geometric Functional Analysis, but also reflects on some of the recent new trends in Banach Space Theory and related topics. These include the tighter connection with convexity and the resulting added emphasis on convex bodies that are not necessarily centrally symmetric, and the treatment of bodies which have only very weak convex-like structure. Another topic represented here is the use of new probabilistic tools; in particular transportation of...
This volume of original research papers from the Israeli GAFA seminar during the years 1996-2000 not only reports on more traditional directions of Ge...
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cena:
155,81 zł |
Three-space Problems in Banach Space Theory
ISBN: 9783540633440 / Angielski / Miękka / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples.
This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, r...
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cena:
194,97 zł |
The Blocking Technique, Weighted Mean Operators and Hardy's Inequality
ISBN: 9783540639022 / Angielski / Miękka / 120 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa. Such norms appear throughout analysis. The blocking technique is a powerful, yet elementary, tool whose usefulnes is demonstrated in the book. In particular, it is shown to lead to the solution of three recent problems of Bennett concerning the inequalities of Hardy and Copson. The book is addressed to researchers and graduate students. An interesting feature is that it contains a dictionary of transformations between...
This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in bloc...
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cena:
136,31 zł |
Differentiability of Six Operators on Nonsmooth Functions and p-Variation
ISBN: 9783540659754 / Angielski / Miękka / 282 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis,...
The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication a...
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cena:
155,81 zł |
Geometric Aspects of Functional Analysis: Israel Seminar 2004-2005
ISBN: 9783540720522 / Angielski / Miękka / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 reflects the general trends of the theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies to the study of sections or projections of convex bodies. This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 ref... |
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cena:
194,97 zł |
Elements of Nonlinear Analysis
ISBN: 9783764364069 / Angielski / Twarda / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The goal of this book is to present some modern aspects of nonlinear analysis. Some of the material introduced is classical, some more exotic. We have tried to emphasize simple cases and ideas more than complicated refinements. Also, as far as possible, we present proofs that are not classical or not available in the usual literature. Of course, only a small part of nonlinear analysis is covered. Our hope is that the reader - with the help of these notes - can rapidly access the many different aspects of the field. We start by introducing two physical issues: elasticity and diffusion. The...
The goal of this book is to present some modern aspects of nonlinear analysis. Some of the material introduced is classical, some more exotic. We have...
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cena:
194,97 zł |
Holomorphic Morse Inequalities and Bergman Kernels
ISBN: 9783764380960 / Angielski / Twarda / 440 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book examines holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel. It opens perspectives on several active areas of research in complex, Kahler and symplectic geometry. A large number of applications are also included, such as an analytic proof of Kodaira's embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, compactification of complete Kahler manifolds of pinched negative curvature, Berezin-Toeplitz quantization, weak Lefschetz theorems, and asymptotics of the Ray-Singer analytic... This book examines holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel. It open... |
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cena:
506,99 zł |
Holomorphic Functions in the Plane and n-Dimensional Space [With CDROM]
ISBN: 9783764382711 / Angielski / Miękka / 412 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras. During the last 30 years the so-called quaternionic and Clifford or hypercomplex analysis successfully developed to a powerful theory with many applications in analysis, engineering and mathematical physics. This textbook introduces both to classical and higher-dimensional results based on a uniform notion of holomorphy. Historical remarks, lots of examples, figures and exercises accompany each chapter. Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real qu... |
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cena:
194,97 zł |
Functional Equations: History, Applications and Theory
ISBN: 9789027717061 / Angielski / Twarda / 246 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Approach your problems from It isn't that they can't see the right end and begin with the solution. It is that they the answers. Then one day, can't see the problem. perhaps you will find the G.K. Chesterton. The Scandal of final question. Father Brown 'The Point of a Pin' . 'The Hermit Clad n Crane Feathers' in R. van Gulik's The Chinese Haze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches....
Approach your problems from It isn't that they can't see the right end and begin with the solution. It is that they the answers. Then one day, can't s...
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cena:
194,97 zł |
Function Spaces
ISBN: 9789028600157 / Angielski / Twarda / 454 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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cena:
780,00 zł |
Inverse Spectral Problems for Linear Differential Operators and Their Applications
ISBN: 9789056991890 / Angielski / Twarda / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on a finite interval. The book consists of two parts: in the first part the author presents a general inverse problem of recovering differential equations with integrable coefficients when the behaviour of the spectrum is arbitrary. The Weyl matrix is introduced and studied as a spectral characteristic. The second part of the book is devoted to solving incomplete inverse problems when a priori information about the operator or its spectrum is available and...
Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on a finite i...
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cena:
1064,13 zł |