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Topics in Complex Analysis
ISBN: 9780387947549 / Angielski / Miękka / 157 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an outgrowth of lectures given on several occasions at Chalmers University of Technology and Goteborg University during the last ten years. As opposed to most introductory books on complex analysis, this one as sumes that the reader has previous knowledge of basic real analysis. This makes it possible to follow a rather quick route through the most fundamen tal material on the subject in order to move ahead to reach some classical highlights (such as Fatou theorems and some Nevanlinna theory), as well as some more recent topics (for example, the corona theorem and the HI_ BMO...
This book is an outgrowth of lectures given on several occasions at Chalmers University of Technology and Goteborg University during the last ten year...
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187,83 zł |
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Numerical Range: The Field of Values of Linear Operators and Matrices
ISBN: 9780387948355 / Angielski / Miękka / 190 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the opportunity to encounter such concepts and applications in their first course in linear algebra. This subject and its extensions to infinite dimen- sions comprise the theory of the numerical range W(T). There are two competing names for W(T), namely, the numerical range of T and the field of values for T. The former has been favored historically by the func- tional analysis community, the latter by the matrix analysis community. It is a toss-up to...
The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the oppo...
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300,41 zł |
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Matrix Analysis
ISBN: 9780387948461 / Angielski / Twarda / 349 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A good part of matrix theory is functional analytic in spirit. This statement can be turned around. There are many problems in operator theory, where most of the complexities and subtleties are present in the finite-dimensional case. My purpose in writing this book is to present a systematic treatment of methods that are useful in the study of such problems. This book is intended for use as a text for upper division and gradu- ate courses. Courses based on parts of the material have been given by me at the Indian Statistical Institute and at the University of Toronto (in collaboration with...
A good part of matrix theory is functional analytic in spirit. This statement can be turned around. There are many problems in operator theory, where ...
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cena:
225,26 zł |
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Global Bifurcation in Variational Inequalities: Applications to Obstacle and Unilateral Problems
ISBN: 9780387948867 / Angielski / Twarda / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Bifurcation Problems for Variational Inequalities presents an up-to-date and unified treatment of bifurcation theory for variational inequalities in reflexive spaces and the use of the theory in a variety of applications, such as: obstacle problems from elasticity theory, unilateral problems; torsion problems; equations from fluid mechanics and quasilinear elliptic partial differential equations. The tools employed are the tools of modern nonlinear analysis. This book is accessible to graduate students and researchers who work in nonlinear analysis, nonlinear partial differential equations,...
Bifurcation Problems for Variational Inequalities presents an up-to-date and unified treatment of bifurcation theory for variational inequalities in r...
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187,83 zł |
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Spherical Inversion on Sln(r)
ISBN: 9780387951157 / Angielski / Twarda / 426 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Harish-Chandras general Plancherel inversion theorem admits a much shorter presentation for spherical functions. Previous expositions have dealt with a general, wide class of Lie groups. This has made access to the subject difficult for outsiders, who may wish to connect some aspects with several if not all other parts of mathematics. In this book, the essential features of Harish-Chandra theory are exhibited on SLn(R), but hundreds of pages of background are replaced by short direct verifications. The material is accessible to graduate students with no background in Lie groups and...
Harish-Chandras general Plancherel inversion theorem admits a much shorter presentation for spherical functions. Previous expositions have dealt with ...
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cena:
375,70 zł |
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An Introduction to Ergodic Theory
ISBN: 9780387951522 / Angielski / Miękka / 250 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory. The mathematical prerequisites are summarized in Chapter 0. It is hoped the reader will be ready to tackle research papers after reading the book. The first part of the text is concerned with measure-preserving transformations of probability spaces; recurrence properties, mixing properties, the Birkhoff ergodic theorem, isomorphism and spectral isomorphism, and entropy theory are discussed. Some examples are described and are studied in detail when new properties are presented. The second...
This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory. The mathematical prerequisites are summarized ...
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cena:
210,23 zł |
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Harmonic Function Theory
ISBN: 9780387952185 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten...
This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level wil...
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cena:
319,35 zł |
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A Practical Guide to Splines
ISBN: 9780387953663 / Angielski / Twarda / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines. After two chapters summarizing polynomial approximation, a rigorous discussion of elementary spline theory is given involving linear, cubic and parabolic splines. The computational handling of piecewise polynomial functions (of one variable) of arbitrary order is the subject of chapters VII and VIII, while chapters IX, X, and XI are devoted...
This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the theory which are especial...
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cena:
338,13 zł |
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Introduction to Numerical Analysis
ISBN: 9780387954523 / Angielski / Twarda / 746 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in re- search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numeri- cal and symbolic computer systems, dynamical...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
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cena:
450,85 zł |
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Problem-Solving Through Problems
ISBN: 9780387961712 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of this book is to isolate and draw attention to the most important problem-solving techniques typically encountered in undergradu ate mathematics and to illustrate their use by interesting examples and problems not easily found in other sources. Each section features a single idea, the power and versatility of which is demonstrated in the examples and reinforced in the problems. The book serves as an introduction and guide to the problems literature (e.g., as found in the problems sections of undergraduate mathematics journals) and as an easily accessed reference of essential...
The purpose of this book is to isolate and draw attention to the most important problem-solving techniques typically encountered in undergradu ate mat...
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cena:
338,13 zł |
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Global Stability of Dynamical Systems
ISBN: 9780387962955 / Angielski / Twarda / 150 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These notes are the result of a course in dynamical systems given at Orsay during the 1976-77 academic year. I had given a similar course at the Gradu ate Center of the City University of New York the previous year and came to France equipped with the class notes of two of my students there, Carol Hurwitz and Michael Maller. My goal was to present Smale's n-Stability Theorem as completely and compactly as possible and in such a way that the students would have easy access to the literature. I was not confident that I could do all this in lectures in French, so I decided to distribute lecture...
These notes are the result of a course in dynamical systems given at Orsay during the 1976-77 academic year. I had given a similar course at the Gradu...
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cena:
375,70 zł |
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The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass
ISBN: 9780387963020 / Angielski / Twarda / 332 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "The true method of foreseeing the future of mathematics is to study its history and its actual state." With these words Henri Poincare began his presentation to the Fourth International Congress of Mathematicians at Rome in 1908. Although Poincare himself never actively pursued the history of mathematics, his remarks have given both historians of mathematics and working mathematicians a valuable methodological guideline, not so much for indulging in improbable prophecies about the future state of mathematics, as for finding in history the origins and moti va tions of contemporary theories,...
"The true method of foreseeing the future of mathematics is to study its history and its actual state." With these words Henri Poincare began his pres...
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cena:
563,58 zł |
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Student’s Guide to Calculus by J. Marsden and A. Weinstein: Volume III
ISBN: 9780387963488 / Angielski / Miękka / 294 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This Student Guide is exceptional, maybe even unique, among such guides in that its author, Fred Soon, was actually a student user of the textbook during one of the years we were writing and debugging the book. (He was one of the best students that year, by the way. ) Because of his background, Fred has taken, in the Guide, the point of view of an experienced student tutor helping you to learn calculus. ile we do not always think Fred's jokes are as funny as he does, we appreciate his enthusiasm and his desire to enter into communication with his readers; since we nearly always agree with...
This Student Guide is exceptional, maybe even unique, among such guides in that its author, Fred Soon, was actually a student user of the textbook dur...
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cena:
142,59 zł |
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Calculus of Several Variables
ISBN: 9780387964058 / Angielski / Twarda / 619 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic...
The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if...
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cena:
225,26 zł |
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Geometrical Methods in the Theory of Ordinary Differential Equations
ISBN: 9780387966496 / Angielski / Twarda / 351 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The expanded second edition of this book reflects new developments including the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems and the Neistadt theory.
The expanded second edition of this book reflects new developments including the Feigenbaum universality of period doubling, the Zoladec solution, the...
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cena:
751,44 zł |
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Nonlinear Functional Analysis and Its Applications: II/ A: Linear Monotone Operators
ISBN: 9780387968025 / Angielski / Twarda / 467 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential...
This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, e...
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cena:
563,58 zł |
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Elementary Stability and Bifurcation Theory
ISBN: 9780387970684 / Angielski / Twarda / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In its most general form bifurcation theory is a theory of asymptotic solutions of nonlinear equations. By asymptotic solutions we mean, for example, steady solutions, time-periodic solutions, and quasi-periodic solutions. The purpose of this book is to teach the theory of bifurcation of asymptotic solutions of evolution problems governed by nonlinear differential equations. We have written this book for the broadest audience of potentially interested learners: engineers, biologists, chemists, physicists, mathematicians, economists, and others whose work involves understanding asymptotic...
In its most general form bifurcation theory is a theory of asymptotic solutions of nonlinear equations. By asymptotic solutions we mean, for example, ...
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cena:
319,35 zł |
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Introduction to Analysis of the Infinite: Book II
ISBN: 9780387971322 / Angielski / Twarda / 504 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Often I have considered the fact that most of the difficulties which block the progress of students trying to learn analysis stem from this: that although they understand little of ordinary algebra, still they attempt this more subtle art. From this it follows not only that they remain on the fringes, but in addition they entertain strange ideas about the concept of the infinite, which they must try to use. Although analysis does not require an exhaustive knowledge of algebra, even of all the algebraic technique so far discovered, still there are topics whose con- sideration prepares a...
Often I have considered the fact that most of the difficulties which block the progress of students trying to learn analysis stem from this: that alth...
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cena:
826,59 zł |
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Nonlinear Functional Analysis and Its Applications: II/B: Nonlinear Monotone Operators
ISBN: 9780387971674 / Angielski / Twarda / 741 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential...
This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, e...
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cena:
939,32 zł |
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A First Course in Real Analysis
ISBN: 9780387974378 / Angielski / Twarda / 536 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is designed for a first course in real analysis following the standard course in elementary calculus. Since many students encounter rigorous mathematical theory for the first time in this course, the authors have included such elementary topics as the axioms of algebra and their immediate consequences as well as proofs of the basic theorems on limits. The pace is deliberate, and the proofs are detailed. The emphasis of the presentation is on theory, but the book also contains a full treatment (with many illustrative examples and exercises) of the standard topics in infinite series,...
This book is designed for a first course in real analysis following the standard course in elementary calculus. Since many students encounter rigorous...
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cena:
206,47 zł |
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