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Categories, Allegories: Volume 39
ISBN: 9780444703682 / Angielski / Twarda / 293 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. General concepts and methods that occur throughout mathematics - and now also in theoretical computer science - are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen some basic topology and algebra and would like to learn and explore further. The first part contains a detailed treatment of the fundamentals of Geometric Logic, which combines four central ideas: natural transformations, sheaves, adjoint...
General concepts and methods that occur throughout mathematics - and now also in theoretical computer science - are the subject of this book. It is a ...
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cena:
244,34 |
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Fundamental Structures of Algebra and Discrete Mathematics
ISBN: 9780471571803 / Angielski / Twarda / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a monograph on the algebraic notion of structure, referring to a structure resulting from either combining elementary objects of some kind, other objects of a similar kind, or from comparing numbers by magnitude. The author presents a basic theory of groups and rings, and other algebraic structures. This self-contained material constitutes an introduction to, and clarification of, the basic theories of the 12 kinds of structures and describes interrelationships between particular theories.
This is a monograph on the algebraic notion of structure, referring to a structure resulting from either combining elementary objects of some kind, ot...
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cena:
1075,05 |
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Lebesgue Integration and Measure
ISBN: 9780521097512 / Angielski / Miękka / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics. Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length,...
Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now ...
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cena:
284,13 |
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Factorization Calculus and Geometric Probability
ISBN: 9780521345354 / Angielski / Twarda / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The classical subjects of geometric probability and integral geometry, and the more modern one of stochastic geometry, are developed here in a novel way to provide a framework in which they can be studied. The author focuses on factorization properties of measures and probabilities implied by the assumption of their invariance with respect to a group, in order to investigate nontrivial factors. The study of these properties is the central theme of the book. Basic facts about integral geometry and random point process theory are developed in a simple geometric way, so that the whole approach...
The classical subjects of geometric probability and integral geometry, and the more modern one of stochastic geometry, are developed here in a novel w...
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cena:
534,18 |
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Iterative Functional Equations
ISBN: 9780521355612 / Angielski / Twarda / 576 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in research literature, making this an essential volume for all those working in functional equations and in such areas as dynamical systems and chaos, to which the theory is closely related. The authors introduce the reader to the theory and then explore the most recent developments and general results. Fundamental notions such as the existence and uniqueness of solutions to the equations are stressed throughout, as are applications of the theory...
A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in...
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cena:
770,33 |
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An Introduction to Hankel Operators
ISBN: 9780521367912 / Angielski / Miękka / 112 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.
Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.
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cena:
226,79 |
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Hilbert Space: Compact Operators and the Trace Theorem
ISBN: 9780521429337 / Angielski / Miękka / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory leading to an elementary proof of the Lidskij trace theorem. The author assumes the reader is familiar with linear algebra and advanced calculus, and develops everything needed to introduce the ideas of compact, self-adjoint, Hilbert-Schmidt and trace class operators. Many exercises and hints are included, and throughout the emphasis is on a user-friendly approach.
The aim of this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory leading to an elementary proof of the ...
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cena:
182,26 |
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Absolutely Summing Operators
ISBN: 9780521431682 / Angielski / Twarda / 492 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. We can best understand many fundamental processes in analysis by studying and comparing the summability of series in various modes of convergence. This text provides the reader with basic knowledge of real and functional analysis, with an account of p-summing and related operators. The account is panoramic, with detailed expositions of the core results and highly relevant applications to harmonic analysis, probability and measure theory, and operator theory. This is the first time that the subject and its applications have been presented in such complete detail in book form. Graduate students...
We can best understand many fundamental processes in analysis by studying and comparing the summability of series in various modes of convergence. Thi...
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cena:
492,50 |
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Exercises in Fourier Analysis
ISBN: 9780521438490 / Angielski / Miękka / 396 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Fourier analysis is an indispensable tool for physicists, engineers and mathematicians. A wide variety of the techniques and applications of fourier analysis are discussed in Dr. Korner's highly popular book, An Introduction to Fourier Analysis (1988). In this book, Dr. Korner has compiled a collection of exercises on Fourier analysis that will thoroughly test the reader's understanding of the subject. They are arranged chapter by chapter to correspond with An Introduction to Fourier Analysis, and for all who enjoyed that book, this companion volume will be an essential purchase.
Fourier analysis is an indispensable tool for physicists, engineers and mathematicians. A wide variety of the techniques and applications of fourier a...
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cena:
274,87 |
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Families of Exponentials: The Method of Moments in Controllability Problems for Distributed Parameter Systems
ISBN: 9780521452434 / Angielski / Twarda / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book, the authors present the newly developed theory of non-harmonic Fourier series and its applications to the control of distributed parameter systems, and they extend the theory to include vector exponential series. The first part of the book presents the modern theory of exponentials, using an operator theory approach. The second extends and upgrades the method of moments--one of the most powerful tools in the flourishing theory of the control of distributed parameter systems. They then go on to discuss the controllability of systems described by parabolic and hyperbolic PDE's for...
In this book, the authors present the newly developed theory of non-harmonic Fourier series and its applications to the control of distributed paramet...
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cena:
538,81 |
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Introduction to HP Spaces
ISBN: 9780521455213 / Angielski / Twarda / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first edition of this well-known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete point of view (in the unit circle and the half plane). This second edition retains many of the features found in the first--detailed computation, an emphasis on methods--but greatly extends its coverage. The discussions of conformal mapping now include Lindelof's second theorem and the one due to Kellogg. A simple derivation of the atomic decomposition for RH1 is given, and then used to provide an alternative proof of Fefferman's duality theorem....
The first edition of this well-known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete poin...
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cena:
538,81 |
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Designs and Their Codes
ISBN: 9780521458399 / Angielski / Miękka / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the...
Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of tho...
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cena:
372,11 |
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Potential Theory in the Complex Plane
ISBN: 9780521466547 / Angielski / Miękka / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analysis. This is reflected in the large number of applications, which include Picard's theorem, the Phragmen-Lindelof principle, the Rado-Stout theorem, Lindelof's theory of asymptotic values, the Riemann mapping theorem (including continuity at the boundary), the Koebe one-quarter theorem, Hilbert's lemniscate theorem, and the sharp quantitative form of Runge's theorem. In addition, there is a chapter on connections with functional analysis and...
Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analys...
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cena:
247,09 |
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Invariant Potential Theory in the Unit Ball of Cn
ISBN: 9780521468305 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph covers Poisson-Szego integrals on the ball, the Green's function for DEGREESD*D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. It also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Greens potentials. Applications of some of the results to Hp spaces, and...
This monograph covers Poisson-Szego integrals on the ball, the Green's function for DEGREESD*D and the Riesz decomposition theorem for invariant subha...
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cena:
226,79 |
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A Primer of Nonlinear Analysis
ISBN: 9780521485739 / Angielski / Miękka / 180 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems...
This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two...
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cena:
219,30 |
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Harmonic Approximation
ISBN: 9780521497992 / Angielski / Miękka / 148 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic account of these developments, beginning with classical results concerning uniform approximation on compact sets, and progressing through fusion techniques to deal with approximation on unbounded sets. The author draws inspiration from holomorphic results such as the well-known theorems of Runge and Mergelyan. The final two chapters deal with wide ranging and surprising applications to the Dirichlet problem, maximum principle, Radon transform and...
Harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic acc...
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cena:
226,79 |
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A Primer of Algebraic D-Modules
ISBN: 9780521551199 / Angielski / Twarda / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications, avoiding all unnecessary technicalities. The author takes an algebraic approach, concentrating on the role of the Weyl algebra. The author assumes very few prerequisites, and the book is virtually self-contained. The author includes exercises at the end of each chapter and gives the reader ample references to the more advanced...
The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to divers...
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cena:
575,85 |
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A Primer of Algebraic D-Modules
ISBN: 9780521559089 / Angielski / Miękka / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications, avoiding all unnecessary technicalities. The author takes an algebraic approach, concentrating on the role of the Weyl algebra. The author assumes very few prerequisites, and the book is virtually self-contained. The author includes exercises at the end of each chapter and gives the reader ample references to the more advanced...
The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to divers...
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cena:
223,93 |
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Function Spaces, Entropy Numbers, Differential Operators
ISBN: 9780521560368 / Angielski / Twarda / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light on classical problems in this area, and this book presents a fresh approach, largely based on the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i) function spaces on Euclidean n-space and on domains; ii) entropy numbers in quasi-Banach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely self-contained and...
The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light on classical pro...
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cena:
538,81 |
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Banach Spaces for Analysts
ISBN: 9780521566759 / Angielski / Miękka / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to modern Banach space theory, in which applications to other areas such as harmonic analysis, function theory, orthogonal series, and approximation theory are also given prominence. The author begins with a discussion of weak topologies, weak compactness, and isomorphisms of Banach spaces before proceeding to the more detailed study of particular spaces. The book is intended to be used with graduate courses in Banach space theory, so the prerequisites are a background in functional, complex, and real analysis. As the only introduction to the modern theory of Banach...
This is an introduction to modern Banach space theory, in which applications to other areas such as harmonic analysis, function theory, orthogonal ser...
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cena:
247,09 |
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