Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications

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Publisher : Springer
ISBN 13 : 3540382208
Total Pages : 302 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications by : Robert M. Miura

Download or read book Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications written by Robert M. Miura and published by Springer. This book was released on 2006-11-14 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974

Simon Stevin

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Publisher :
ISBN 13 :
Total Pages : 614 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Simon Stevin by :

Download or read book Simon Stevin written by and published by . This book was released on 1979 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Backlund Transformations

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Publisher :
ISBN 13 :
Total Pages : 295 pages
Book Rating : 4.:/5 (954 download)

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Book Synopsis Backlund Transformations by :

Download or read book Backlund Transformations written by and published by . This book was released on 1976 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hydromagnetic Stability

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Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Hydromagnetic Stability by : Satya P. Talwar

Download or read book Hydromagnetic Stability written by Satya P. Talwar and published by . This book was released on 1965 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Number Theory 1

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821808634
Total Pages : 180 pages
Book Rating : 4.8/5 (86 download)

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Book Synopsis Number Theory 1 by : Kazuya Kato

Download or read book Number Theory 1 written by Kazuya Kato and published by American Mathematical Soc.. This book was released on 2000 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the English translation of the original Japanese book. In this volume, "Fermat's Dream", core theories in modern number theory are introduced. Developments are given in elliptic curves, $p$-adic numbers, the $\zeta$-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.

Backlund Transformations

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (954 download)

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Book Synopsis Backlund Transformations by :

Download or read book Backlund Transformations written by and published by . This book was released on 1976 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Energy Principle for Hydromagnetic Stability Problems

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Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Energy Principle for Hydromagnetic Stability Problems by : Ira B. Bernstein

Download or read book An Energy Principle for Hydromagnetic Stability Problems written by Ira B. Bernstein and published by . This book was released on 1957 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry V

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540605232
Total Pages : 300 pages
Book Rating : 4.6/5 (52 download)

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Book Synopsis Geometry V by : Robert Osserman

Download or read book Geometry V written by Robert Osserman and published by Springer Science & Business Media. This book was released on 1997-10-09 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few people outside of mathematics are aware of the varieties of mathemat ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others. The particular flavor of the subject of minimal surfaces seems to lie in a combination of the concreteness of the objects being studied, their origin and relation to the physical world, and the way they lie at the intersection of so many different parts of mathematics. In the past fifteen years a new component has been added: the availability of computer graphics to provide illustrations that are both mathematically instructive and esthetically pleas ing. During the course of the twentieth century, two major thrusts have played a seminal role in the evolution of minimal surface theory. The first is the work on the Plateau Problem, whose initial phase culminated in the solution for which Jesse Douglas was awarded one of the first two Fields Medals in 1936. (The other Fields Medal that year went to Lars V. Ahlfors for his contributions to complex analysis, including his important new insights in Nevanlinna Theory.) The second was the innovative approach to partial differential equations by Serge Bernstein, which led to the celebrated Bernstein's Theorem, stating that the only solution to the minimal surface equation over the whole plane is the trivial solution: a linear function.

Vertex Algebras for Beginners

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Publisher : American Mathematical Soc.
ISBN 13 : 082181396X
Total Pages : 209 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Vertex Algebras for Beginners by : Victor G. Kac

Download or read book Vertex Algebras for Beginners written by Victor G. Kac and published by American Mathematical Soc.. This book was released on 1998 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on courses given by the author at MIT and at Rome University in spring 1997, this book presents an introduction to algebraic aspects of conformal field theory. It includes material on the foundations of a rapidly growing area of algebraic conformal theory.

Holomorphic Curves in Symplectic Geometry

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Publisher : Birkhäuser
ISBN 13 : 3034885083
Total Pages : 333 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Holomorphic Curves in Symplectic Geometry by : Michele Audin

Download or read book Holomorphic Curves in Symplectic Geometry written by Michele Audin and published by Birkhäuser. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to pseudo-holomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techniques of Riemannian geometry, proofs of Gromov's compactness theorem, an investigation of local properties of holomorphic curves, including positivity of intersections, and applications to Lagrangian embeddings problems. The chapters are based on a series of lectures given previously by the authors M. Audin, A. Banyaga, P. Gauduchon, F. Labourie, J. Lafontaine, F. Lalonde, Gang Liu, D. McDuff, M.-P. Muller, P. Pansu, L. Polterovich, J.C. Sikorav. In an attempt to make this book accessible also to graduate students, the authors provide the necessary examples and techniques needed to understand the applications of the theory. The exposition is essentially self-contained and includes numerous exercises.

Residue Currents and Bezout Identities

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Publisher : Birkhäuser
ISBN 13 : 3034885601
Total Pages : 169 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Residue Currents and Bezout Identities by : C.A. Berenstein

Download or read book Residue Currents and Bezout Identities written by C.A. Berenstein and published by Birkhäuser. This book was released on 2012-12-06 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very primitive form of this monograph has existed for about two and a half years in the form of handwritten notes of a course that Alain Y ger gave at the University of Maryland. The objective, all along, has been to present a coherent picture of the almost mysterious role that analytic methods and, in particular, multidimensional residues, have recently played in obtaining effective estimates for problems in commutative algebra [71;5]* Our original interest in the subject rested on the fact that the study of many questions in harmonic analysis, like finding all distribution solutions (or finding out whether there are any) to a system of linear partial differential equa tions with constant coefficients (or, more generally, convolution equations) in ]R. n, can be translated into interpolation problems in spaces of entire functions with growth conditions. This idea, which one can trace back to Euler, is the basis of Ehrenpreis's Fundamental Principle for partial differential equations [37;5], [56;5], and has been explicitly stated, for convolution equations, in the work of Berenstein and Taylor [9;5] (we refer to the survey [8;5] for complete references. ) One important point in [9;5] was the use of the Jacobi interpo lation formula, but otherwise, the representation of solutions obtained in that paper were not explicit because of the use of a-methods to prove interpolation results.

Classical Galois Theory with Examples

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Publisher : American Mathematical Soc.
ISBN 13 : 0821813757
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classical Galois Theory with Examples by : Lisl Gaal

Download or read book Classical Galois Theory with Examples written by Lisl Gaal and published by American Mathematical Soc.. This book was released on 1998 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galois theory is one of the most beautiful subjects in mathematics, but it is heard to appreciate this fact fully without seeing specific examples. Numerous examples are therefore included throughout the text, in the hope that they will lead to a deeper understanding and genuine appreciation of the more abstract and advanced literature on Galois theory. This book is intended for beginning graduate students who already have some background in algebra, including some elementary theoryof groups, rings and fields. The expositions and proofs are intended to present Galois theory in as simple a manner as possible, sometimes at the expense of brevity. The book is for students and intends to make them take an active part in mathematics rather than merely read, nod their heads atappropriate places, skip the exercises, and continue on to the next section.

Solitons and the Inverse Scattering Transform

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Publisher : SIAM
ISBN 13 : 089871477X
Total Pages : 433 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Solitons and the Inverse Scattering Transform by : Mark J. Ablowitz

Download or read book Solitons and the Inverse Scattering Transform written by Mark J. Ablowitz and published by SIAM. This book was released on 2006-05-15 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localised pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.

Theory of Chattering Control

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Publisher : Springer Science & Business Media
ISBN 13 : 146122702X
Total Pages : 256 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Theory of Chattering Control by : Michail I. Zelikin

Download or read book Theory of Chattering Control written by Michail I. Zelikin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The common experience in solving control problems shows that optimal control as a function of time proves to be piecewise analytic, having a finite number of jumps (called switches) on any finite-time interval. Meanwhile there exists an old example proposed by A.T. Fuller [1961) in which optimal control has an infinite number of switches on a finite-time interval. This phenomenon is called chattering. It has become increasingly clear that chattering is widespread. This book is devoted to its exploration. Chattering obstructs the direct use of Pontryagin's maximum principle because of the lack of a nonzero-length interval with a continuous control function. That is why the common experience appears misleading. It is the hidden symmetry of Fuller's problem that allows the explicit solution. Namely, there exists a one-parameter group which respects the optimal trajectories of the problem. When published in 1961, Fuller's example incited curiosity, but it was considered only "interesting" and soon was forgotten. The second wave of attention to chattering was raised about 12 years later when several other examples with optimal chattering trajectories were 1 found. All these examples were two-dimensional with the one-parameter group of symmetries.

Perplexing Problems in Probability

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817640934
Total Pages : 416 pages
Book Rating : 4.6/5 (49 download)

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Book Synopsis Perplexing Problems in Probability by : Harry Kesten

Download or read book Perplexing Problems in Probability written by Harry Kesten and published by Springer Science & Business Media. This book was released on 1999-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harry Kesten has had a profound influence on probability theory for over thirty years. To honor his achievements, and to highlight important directions for future research, a number of prominent probabilists have written survey articles on a wide variety of active areas of contemporary probability, many of which are closely related to Kesten's work. This festschrift volume is an expression of appreciation and a demonstration of the depth and breadth of his ideas.

Coxeter Matroids

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817637644
Total Pages : 292 pages
Book Rating : 4.6/5 (376 download)

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Book Synopsis Coxeter Matroids by : Alexandre V. Borovik

Download or read book Coxeter Matroids written by Alexandre V. Borovik and published by Springer Science & Business Media. This book was released on 2003-07-11 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary treatment of their theory. In this text, matroids are examined in terms of symmetric and finite reflection groups; also, symplectic matroids and the more general coxeter matroids are carefully developed. The Gelfand-Serganova theorem, which allows for the geometric interpretation of matroids as convex polytopes with certain symmetry properties, is presented, and in the final chapter, matroid representations and combinatorial flag varieties are discussed. With its excellent bibliography and index and ample references to current research, this work will be useful for graduate students and research mathematicians.

Complex Potential Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9401109346
Total Pages : 565 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Complex Potential Theory by : Paul M. Gauthier

Download or read book Complex Potential Theory written by Paul M. Gauthier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montréal, Canada, July 26--August 6, 1993