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Elliptic Differential Equations And Obstacle Problems

by Giovanni Maria Troianiello

237,84€ + 10% CARD

 In the few years since their appearance in the mid-sixties, variational inequalities have developed to such an extent and so thoroughly that they may now be considered an "institutional" development of the theory of differential equations (with appreciable feedback as will be shown). This book was written in the light of these considerations both in regard to the choice of topics and to their treatment. In short, roughly speaking my intention was to write a book on second-order elliptic operators, with the first half of the book, as might be expected, dedicated to function spaces and to linear theory whereas the second, nonlinear half would deal with variational inequalities and non variational obstacle problems, rather than, for example, with quasilinear or fully nonlinear equations (with a few exceptions to which I shall return later). This approach has led me to omit any mention of "physical" motivations in the wide sense of the term, in spite of their historical and continuing importance in the development of variational inequalities. I here addressed myself to a potential reader more or less aware of the significant role of variational inequalities in numerous fields of applied mathematics who could use an analytic presentation of the fundamental theory, which would be as general and self-contained as possible.
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Matrix Theory: A Second Course

by James M. Ortega

118,59€ + 10% CARD

 Linear algebra and matrix theory are essentially synonymous terms for an area of mathematics that has become one of the most useful and pervasive tools in a wide range of disciplines.
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Topics In Number Theory

by J.S. Chahal

184,84€ + 10% CARD

 This book reproduces, with minor changes, the notes prepared for a course given at Brigham Young University during the academic year 1984-1985. However, because the discussion was, generally, carried far enough to introduce the audience to some areas of current research, the book should also be useful to graduate students.
ENGLISH

Recurrence In Topological Dynamics - Furstenberg Families And Ellis Actions

by Ethan Akin

118,59€ + 10% CARD

 Presents the theory of set families as a tool for studying the phenomenon of recurrence. This study defines elements of theory as: open families of special subsets; the unification of several ideas associated with transitivity, ergodicity and mixing; and the Ellis theory of enveloping semigroups for compact dynamical systems.
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Probability Measures On Semigroups: Convolution Products, Random Walks And Random Matrices

by Arunava Mukherjea e Goran Hognas

95,40€ + 10% CARD

 A Scientific American article on chaos, see Crutchfield et al. (1986), illus trates a very persuasive example of recurrence. A painting of Henri Poincare, or rather a digitized version of it, is stretched and cut to produce a mildly distorted image of Poincare. The same procedure is applied to the distorted image and the process is repeated over and over again on the successively more and more blurred images. After a dozen repetitions nothing seems to be left of the original portrait. Miraculously, structured images appear briefly as we continue to apply the distortion procedure to successive images. After 241 iterations the original picture reappears, unchanged! Apparently the pixels of the Poincare portrait were moving about in accor dance with a strictly deterministic rule. More importantly, the set of all pixels, the whole portrait, was transformed by the distortion mechanism. In this exam ple the transformation seems to have been a reversible one since the original was faithfully recreated. It is not very farfetched to introduce a certain amount of randomness and irreversibility in the above example. Think of a random miscoloring of some pixels or of inadvertently giving a pixel the color of its neighbor. The methods in this book are geared towards being applicable to the asymp totics of such transformation processes. The transformations form a semigroup in a natural way; we want to investigate the long-term behavior of random elements of this semigroup.
ENGLISH

Variations On A Theme Of Euler - Quadratic Forms, Elliptic Curves, And Hopf Maps

by Takashi Ono

118,59€ + 10% CARD

 The first six chapters and Appendix 1 of this book appeared in Japanese in a book of the same title 15years aga (Jikkyo, Tokyo, 1980).At the request of some people who do not wish to learn Japanese, I decided to rewrite my old work in English. This time, I added a chapter on the arithmetic of quadratic maps (Chapter 7) and Appendix 2, A Short Survey of Subsequent Research on Congruent Numbers, by M. Kida. Some 20 years ago, while rifling through the pages of Selecta Heinz Hopj (Springer, 1964), I noticed a system of three quadratic forms in four variables with coefficientsin Z that yields the map of the 3-sphere to the 2-sphere with the Hopf invariant r =1 (cf. Selecta, p. 52). Immediately I feit that one aspect of classical and modern number theory, including quadratic forms (Pythagoras, Fermat, Euler, and Gauss) and space elliptic curves as intersection of quadratic surfaces (Fibonacci, Fermat, and Euler), could be considered as the number theory of quadratic maps-especially of those maps sending the n-sphere to the m-sphere, i.e., the generalized Hopf maps. Having these in mind, I deliveredseverallectures at The Johns Hopkins University (Topics in Number Theory, 1973-1974, 1975-1976, 1978-1979, and 1979-1980). These lectures necessarily contained the following three basic areas of mathematics: v vi Preface Theta Simple Functions Aigebras Elliptic Curves Number Theory Figure P.l.
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Finite Simple Groups - An Introduction To Their Classification

by Daniel Gorenstein

145,09€ + 10% CARD

 In February 1981, the classification of the finite simple groups (Dl)* was completed,t. * representing one of the most remarkable achievements in the history or mathematics. Involving the combined efforts of several hundred mathematicians from around the world over a period of 30 years, the full proof covered something between 5,000 and 10,000 journal pages, spread over 300 to 500 individual papers. The single result that, more than any other, opened up the field and foreshadowed the vastness of the full classification proof was the celebrated theorem of Walter Feit and John Thompson in 1962, which stated that every finite group of odd order (D2) is solvable (D3)-a statement expressi ble in a single line, yet its proof required a full 255-page issue of the Pacific 10urnal of Mathematics [93]. Soon thereafter, in 1965, came the first new sporadic simple group in over 100 years, the Zvonimir Janko group 1 , to further stimulate the 1 ''To make the book as self-contained as possible. we are including definitions of various terms as they occur in the text. However. in order not to disrupt the continuity of the discussion. we have placed them at the end of the Introduction. We denote these definitions by (DI). (D2), (D3). etc.
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Contemporary Geometry - J.-Q. Zhong Memorial Volume

59,61€ + 10% CARD

 His friends in China have also established a Zhong Jia-Qing Memorial Fund, which has since twice awarded the Zhong Jia-Qing prizes for Chinese mathematics graduate students. In addition to putting Zhong's mathematical contributions in perspective, these articles should be useful also to a large segment of the mathematical community;
ENGLISH

Scrapbook Of Complex Curve Theory

by C. Herbert Clemens

70,21€ + 10% CARD

 This is a book of "impressions" of a journey through the theory of com plex algebraic curves. It is neither self-contained, balanced, nor particularly tightly organized. As with any notebook made on a journey, what appears is that which strikes the writer''s fancy. Some topics appear because of their compelling intrinsic beauty. Others are left out because, for all their impor tance, the traveler found them boring or was too dull or lazy to give them their due. Looking back at the end of the journey, one can see that a common theme in fact does emerge, as is so often the case; that theme is the theory of theta functions. In fact very much of the material in the book is prepara tion for our study of the final topic, the so-called Schottky problem. More than once, in fact, we tear ourselves away from interesting topics leading elsewhere and return to our main route.
ENGLISH

Computability And Models - Perspectives East And West

118,59€ + 10% CARD

 There are also articles concerned with the computability of aspects of familiar mathematical structures, and - a return to the sort of basic underlying questions considered by Alan Turing in the early days of the subject - an article giving a new perspective on computability in the real world.
ENGLISH

Problems In Set Theory, Mathematical Logic And The Theory Of Algorithms

by Igor Lavrov e Larisa Maksimova

118,59€ + 10% CARD

 Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory.
ENGLISH

Classification Of Finite Simple Groups - Volume 1: Groups Of Noncharacteristic 2 Type

171,59€ + 10% CARD

 Never before in the history of mathematics has there been an individual theorem whose proof has required 10,000 journal pages of closely reasoned argument. Who could read such a proof, let alone communicate it to others? But the classification of all finite simple groups is such a theorem-its complete proof, developed over a 30-year period by about 100 group theorists, is the union of some 500 journal articles covering approximately 10,000 printed pages. How then is one who has lived through it all to convey the richness and variety of this monumental achievement? Yet such an attempt must be made, for without the existence of a coherent exposition of the total proof, there is a very real danger that it will gradually become lost to the living world of mathematics, buried within the dusty pages of forgotten journals. For it is almost impossible for the uninitiated to find the way through the tangled proof without an experienced guide; even the 500 papers themselves require careful selection from among some 2,000 articles on simple group theory, which together include often attractive byways, but which serve only to delay the journey.
ENGLISH

Short Introduction To Intuitionistic Logic

by Grigori Mints

162,98€ + 10% CARD

 Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs.
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Complex Analysis And Geometry

171,59€ + 10% CARD
ENGLISH

Introduction To Pseudodifferential And Fourier Integral Operators - Pseudodifferential Operators

by Jean-Francois Treves

174,24€ + 10% CARD

 I have tried in this book to describe those aspects of pseudodifferential and Fourier integral operator theory whose usefulness seems proven and which, from the viewpoint of organization and "presentability," appear to have stabilized. Since, in my opinion, the main justification for studying these operators is pragmatic, much attention has been paid to explaining their handling and to giving examples of their use. Thus the theoretical chapters usually begin with a section in which the construction of special solutions of linear partial differential equations is carried out, constructions from which the subsequent theory has emerged and which continue to motivate it: parametrices of elliptic equations in Chapter I (introducing pseudodifferen tial operators of type 1, 0, which here are called standard), of hypoelliptic equations in Chapter IV (devoted to pseudodifferential operators of type p, 8), fundamental solutions of strongly hyperbolic Cauchy problems in Chap ter VI (which introduces, from a "naive" standpoint, Fourier integral operators), and of certain nonhyperbolic forward Cauchy problems in Chapter X (Fourier integral operators with complex phase). Several chapters-II, III, IX, XI, and XII-are devoted entirely to applications. Chapter II provides all the facts about pseudodifferential operators needed in the proof of the Atiyah-Singer index theorem, then goes on to present part of the results of A. Calderon on uniqueness in the Cauchy problem, and ends with a new proof (due to J. J. Kohn) of the celebrated sum-of-squares theorem of L. Hormander, a proof that beautifully demon strates the advantages of using pseudodifferential operators.
ENGLISH

Linear Control Systems - With Solved Problems And Matlab Examples

by Branislav Kisacanin e Gyan C. Agarwal

264,34€ + 10% CARD

 Anyone seeking a gentle introduction to the methods of modern control theory and engineering, written at the level of a first-year graduate course, should consider this book seriously.
ENGLISH

Introduction To Algebraic Number Theory

by Takashi Ono

186,16€ + 10% CARD

 This book is a translation of my book Suron Josetsu (An Introduction to Number Theory), Second Edition, published by Shokabo, Tokyo, in 1988.
ENGLISH

Elliptic Cohomology

by Charles B. Thomas

118,59€ + 10% CARD

 Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away from 2, the latter by the fact that the coefficients coincide with a ring of modular forms. The aim of the book is to construct this cohomology theory, and evaluate it on classifying spaces BG of finite groups G. This class of spaces is important, since (using ideas borrowed from `Monstrous Moonshine'') it is possible to give a bundle-theoretic definition of EU-(BG). Concluding chapters also discuss variants, generalisations and potential applications.
ENGLISH

A Short Introduction To Intuitionistic Logic

by Grigori Mints

177,78€ + 10% CARD

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 Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs.
ENGLISH

Problems In Set Theory, Mathematical Logic And The Theory Of Algorithms

by Igor Lavrov e Larisa Maksimova

121,66€ + 10% CARD

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 Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory.
ENGLISH

A Short Introduction To Intuitionistic Logic

by Grigori Mints

166,28€ + 10% CARD

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 Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs.
ENGLISH

An Introduction To Algebraic Number Theory

by Takashi Ono

OUT OF STOCK OR NOT AVAILABLE

 This book is a translation of my book Suron Josetsu (An Introduction to Number Theory), Second Edition, published by Shokabo, Tokyo, in 1988.
ENGLISH

Not Intuitively Obvious

by J.A. Jr. Rodriguez

OUT OF STOCK OR NOT AVAILABLE
ENGLISH

Sound Words Revisited

by Oran Rhodes And Kevin W. Rhodes

OUT OF STOCK OR NOT AVAILABLE

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