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Mechanics, Boundary Layers and Function Spaces
ISBN: 9781461289098 / Angielski / Miękka / 216 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Concern with the class of problems investigated in this monograph began for me as a graduate student at MIT (1958-62) when serving as research assistant to Professor Eric Reissner who initiated me into the subject and whose influence - whether directly or dialectically - is probably discernable in the contours of the work. My fIrst attempt at a systematic derivation of the equations of shell theory was made while on a summer assistantship with Professor Norman Levinson in 1960. Beyond gaining a sobering reali zation of the complexities involved, I made little progress at that time. In 1962-64...
Concern with the class of problems investigated in this monograph began for me as a graduate student at MIT (1958-62) when serving as research assista...
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Several Complex Variables
ISBN: 9781461298762 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present book grew out of introductory lectures on the theory offunctions of several variables. Its intent is to make the reader familiar, by the discussion of examples and special cases, with the most important branches and methods of this theory, among them, e.g., the problems of holomorphic continuation, the algebraic treatment of power series, sheaf and cohomology theory, and the real methods which stem from elliptic partial differential equations. In the first chapter we begin with the definition of holomorphic functions of several variables, their representation by the Cauchy...
The present book grew out of introductory lectures on the theory offunctions of several variables. Its intent is to make the reader familiar, by the d...
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Theory of Functional Differential Equations
ISBN: 9781461298946 / Angielski / Miękka / 366 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre- hensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research. The following chapters were not discussed in my original notes. Chapter 1 is an elementary presentation of linear differential difference...
Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have o...
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Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory
ISBN: 9781461373100 / Angielski / Miękka / 716 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a reference tool with broad appeal as well as a platform for future research. Fourteen chapters are organized into three parts: mathematical logic and foundations (Chapters 1-2), general topology (Chapters 3-10), and measure and probability theory (Chapters 11-14).
Chapter 1 deals with non-classical logics and their syntactic and semantic... Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzz...
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A History of the Calculus of Variations from the 17th Through the 19th Century
ISBN: 9781461381082 / Angielski / Miękka / 410 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not the true moment of inception of the subject. It would not have been unreasonable if I had gone back to the set of isoperimetric problems considered by Greek mathemati cians such as Zenodorus (c. 200 B. C. ) and preserved by Pappus (c. 300 A. D. ). I have not done this since these problems were solved by geometric means. Instead I have arbitrarily chosen to begin with Fermat's elegant principle of...
The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name cal...
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Starting with the Unit Circle: Background to Higher Analysis
ISBN: 9781461381389 / Angielski / Miękka / 180 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. It is with great pleasure that I am writing the preface for my little book, "Starting with the Unit Circle," in the office of Springer Verlag in Heidel berg. This is symbolic of the fact that I have once again joined in the main stream of scientific exchange between East and West. Since the establishment of the People's Republic of China, I have written "An Introduction to Number Theory" for the young people studying Number Theory: for the young people studying algebra, Prof. Wan Zhe-xian (Wan Che-hsien) and I have written "Classical Groups"; for those studying the theory of functions of...
It is with great pleasure that I am writing the preface for my little book, "Starting with the Unit Circle," in the office of Springer Verlag in Heide...
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Methods of Bifurcation Theory
ISBN: 9781461381617 / Angielski / Miękka / 525 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory and Differential Equations. Our primary objective is to discuss those aspects of bifurcation theory which are particularly meaningful to differential equations. To accomplish this objective and to make the book accessible to a wider we have presented in detail much of the relevant background audience, material from nonlinear functional analysis and the qualitative theory of differential equations. Since there is no good reference for some of the mate rial, its inclusion seemed necessary. Two distinct...
An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory and Differential Equations. Our primary objective is to dis...
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Lectures on P-Adic Differential Equations
ISBN: 9781461381952 / Angielski / Miękka / 310 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ( x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) dx - ab)y = 0, 2 with a, b, c in 4) n Zp, by constructing the associated Frobenius structure. For this construction we draw upon the methods of Alan Adolphson 1] in his 1976 work on Hecke polynomials. We are also indebted to him for the account (appearing as an appendix) of the relation between this differential equation and certain L-functions. We are indebted to G. Washnitzer for the method used in the construction of our dual theory (Chapter...
The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ( x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) ...
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The Prehistory of the Theory of Distributions
ISBN: 9781461394747 / Angielski / Miękka / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. I first learned the theory of distributions from Professor Ebbe Thue Poulsen in an undergraduate course at Aarhus University. Both his lectures and the textbook, Topological Vector Spaces, Distributions and Kernels by F. Treves, used in the course, opened my eyes to the beauty and abstract simplicity of the theory. However my incomplete study of many branches of classical analysis left me with the question: Why is the theory of distributions important? In my continued studies this question was gradually answered, but my growing interest in the history of mathematics caused me to alter my...
I first learned the theory of distributions from Professor Ebbe Thue Poulsen in an undergraduate course at Aarhus University. Both his lectures and th...
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Value Distribution Theory
ISBN: 9781461581284 / Angielski / Miękka / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of this research monograph is to build up a modern value distribution theory for complex analytic mappings between abstract Riemann surfaces. All results presented herein are new in that, apart from the classical background material in the last chapter, there is no over lapping with any existing monograph on merom orphic functions. Broadly speaking the division of the book is as follows: The Introduction and Chapters I to III deal mainly with the theory of mappings of arbitrary Riemann surfaces as developed by the first named author; Chapter IV, due to Nakai, is devoted to...
The purpose of this research monograph is to build up a modern value distribution theory for complex analytic mappings between abstract Riemann surfac...
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Principal Functions
ISBN: 9781468480405 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the decade and a half that has elapsed since the intro duction of principal functions (Sario 8 J), they have become impor tant tools in an increasing number of branches of modern mathe matics. The purpose of the present research monograph is to systematically develop the theory of these functions and their ap plications on Riemann surfaces and Riemannian spaces. Apart from brief background information (see below), nothing contained in this monograph has previously appeared in any other book. The basic idea of principal functions is simple: Given a Riemann surface or a Riemannian space...
During the decade and a half that has elapsed since the intro duction of principal functions (Sario 8 J), they have become impor tant tools in an inc...
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Denumerable Markov Chains: With a Chapter of Markov Random Fields by David Griffeath
ISBN: 9781468494570 / Angielski / Miękka / 484 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. With the first edition out of print, we decided to arrange for republi- cation of Denumerrible Markov Ohains with additional bibliographic material. The new edition contains a section Additional Notes that indicates some of the developments in Markov chain theory over the last ten years. As in the first edition and for the same reasons, we have resisted the temptation to follow the theory in directions that deal with uncountable state spaces or continuous time. A section entitled Additional References complements the Additional Notes. J. W. Pitman pointed out an error in Theorem 9-53 of the...
With the first edition out of print, we decided to arrange for republi- cation of Denumerrible Markov Ohains with additional bibliographic material. T...
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Foundations of Real and Abstract Analysis
ISBN: 9781475771619 / Angielski / Miękka / 322 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format, including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. The book begins with a fast-paced course on real analysis, followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as a preparation for students with only the typical sequence of undergraduate calculus courses as...
A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The aut...
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The Laplace Transform: Theory and Applications
ISBN: 9781475772623 / Angielski / Miękka / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Laplace transform is a wonderful tool for solving ordinary and partial differential equations and has enjoyed much success in this realm. With its success, however, a certain casualness has been bred concerning its application, without much regard for hypotheses and when they are valid. Even proofs of theorems often lack rigor, and dubious mathematical practices are not uncommon in the literature for students. In the present text, I have tried to bring to the subject a certain amount of mathematical correctness and make it accessible to un- dergraduates. Th this end, this text addresses a...
The Laplace transform is a wonderful tool for solving ordinary and partial differential equations and has enjoyed much success in this realm. With its...
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Orthogonal Systems and Convolution Operators
ISBN: 9783034894180 / Angielski / Miękka / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book we study orthogonal polynomials and their generalizations in spaces with weighted inner products. The impetus for our research was a deep theorem due to M.G. Krein along with subsequent results of Krein and H. Langer. Together with our colleagues, we have worked in this area for nearly fifteen years, and the results of our research are presented here in unified form. We are grateful to the Department of mathematics at the University of Maryland in College Park and to Tel-Aviv University for their support and encouragement. The support of the Silver Family Foundation is also...
In this book we study orthogonal polynomials and their generalizations in spaces with weighted inner products. The impetus for our research was a deep...
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High Dimensional Probability III
ISBN: 9783034894234 / Angielski / Miękka / 346 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The title High Dimensional Probability is used to describe the many tributaries of research on Gaussian processes and probability in Banach spaces that started in the early 1970s. Many of the problems that motivated researchers at that time were solved. But the powerful new tools created for their solution turned out to be applicable to other important areas of probability. They led to significant advances in the study of empirical processes and other topics in theoretical statistics and to a new approach to the study of aspects of Levy processes and Markov processes in general. The papers... The title High Dimensional Probability is used to describe the many tributaries of research on Gaussian processes and probability in Banach spaces ... |
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Toeplitz Matrices and Singular Integral Equations: The Bernd Silbermann Anniversary Volume
ISBN: 9783034894715 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is dedicated to Bernd Silbermann on the oc- casion of his sixtieth birthday. It consists of selected papers devoted to the inexhaustible and ever-young fields of Toeplitz matrices and singular integral equations, and thus to areas Bernd Silbermann has been enriching by fundamental con- tributions for the last three decades. Most authors of this volume participated in the conference organized and sponsored by the Department of Mathematics (under the deans Dieter Happel and Jiirgen vom Scheidt) of the Chemnitz University of Technology in honor of Bernd Silbermann in Pobershau, April...
This volume is dedicated to Bernd Silbermann on the oc- casion of his sixtieth birthday. It consists of selected papers devoted to the inexhaustible a...
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Interpolation Theory, Systems Theory and Related Topics: The Harry Dym Anniversary Volume
ISBN: 9783034894777 / Angielski / Miękka / 414 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is based on the proceedings of the Toeplitz Lectures 1999 and of the Workshop in Operator Theory held in March 1999 at Tel-Aviv University and at the Weizmann Institute of Science. The workshop was held on the occasion of the 60th birthday of Harry Dym, and the Toeplitz lecturers were Harry Dym and Jim Rovnyak. The papers in the volume reflect Harry's influence on the field of operator theory and its applications through his insights, his writings, and his personality. The volume begins with an autobiographical sketch, followed by the list ofpublications ofHarry Dym and the paper...
This volume is based on the proceedings of the Toeplitz Lectures 1999 and of the Workshop in Operator Theory held in March 1999 at Tel-Aviv University...
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Wavelet Transforms and Localization Operators
ISBN: 9783034894784 / Angielski / Miękka / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on lectures given at the Global Analysis Research Center (GARC) of Seoul National University in 1999and at Peking University in 1999and 2000. Preliminary versions of the book have been used for various topics courses in analysis for graduate students at York University. We study in this book wavelet transforms and localization operators in the context of infinite-dimensional and square-integrable representations of locally compact and Hausdorffgroups. The wavelet transforms studied in this book, which include the ones that come from the Weyl-Heisenberg group and the...
This book is based on lectures given at the Global Analysis Research Center (GARC) of Seoul National University in 1999and at Peking University in 199...
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Evolution Equations, Semigroups and Functional Analysis: In Memory of Brunello Terreni
ISBN: 9783034894807 / Angielski / Miękka / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis," which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V....
Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terren...
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