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Author : Gabor Szegö
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (799 download)
Download or read book Gabor Szegö written by Gabor Szegö and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gábor Szegő
Publisher :
ISBN 13 : 9783764330613
Total Pages : 904 pages
Book Rating : 4.3/5 (36 download)
Download or read book Collected Papers written by Gábor Szegő and published by . This book was released on 1982 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.A. Nohel
Publisher : Springer Science & Business Media
ISBN 13 : 9780817638627
Total Pages : 584 pages
Book Rating : 4.6/5 (386 download)
Download or read book Selected Papers of Norman Levinson written by J.A. Nohel and published by Springer Science & Business Media. This book was released on 1997-12-18 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The deep and original ideas of Norman Levinson have had a lasting impact on fields as diverse as differential & integral equations, harmonic, complex & stochas tic analysis, and analytic number theory during more than half a century. Yet, the extent of his contributions has not always been fully recognized in the mathematics community. For example, the horseshoe mapping constructed by Stephen Smale in 1960 played a central role in the development of the modern theory of dynami cal systems and chaos. The horseshoe map was directly stimulated by Levinson's research on forced periodic oscillations of the Van der Pol oscillator, and specifi cally by his seminal work initiated by Cartwright and Littlewood. In other topics, Levinson provided the foundation for a rigorous theory of singularly perturbed dif ferential equations. He also made fundamental contributions to inverse scattering theory by showing the connection between scattering data and spectral data, thus relating the famous Gel'fand-Levitan method to the inverse scattering problem for the Schrodinger equation. He was the first to analyze and make explicit use of wave functions, now widely known as the Jost functions. Near the end of his life, Levinson returned to research in analytic number theory and made profound progress on the resolution of the Riemann Hypothesis. Levinson's papers are typically tightly crafted and masterpieces of brevity and clarity. It is our hope that the publication of these selected papers will bring his mathematical ideas to the attention of the larger mathematical community.
Author : J.S. Oliveira
Publisher : Springer Science & Business Media
ISBN 13 : 9780817631147
Total Pages : 648 pages
Book Rating : 4.6/5 (311 download)
Download or read book Selected Papers on Algebra and Topology by Garrett Birkhoff written by J.S. Oliveira and published by Springer Science & Business Media. This book was released on 1987-01-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of reprints are what I consider to be my most interesting and influential papers on algebra and topology. To tie them together, and to place them in context, I have supplemented them by a series of brief essays sketching their historieal background (as I see it). In addition to these I have listed some subsequent papers by others which have further developed some of my key ideas. The papers on universal algebra, lattice theory, and general topology collected in the present volume concern ideas which have become familiar to all working mathematicians. It may be helpful to make them readily accessible in one volume. I have tried in the introduction to each part to state the most significant features of ea ch paper reprinted there, and to indieate later developments. The background that shaped and stimulated my early work on universal algebra, lattice theory, and topology may be of some interest. As a Harvard undergraduate in 1928-32, I was encouraged to do independent reading and to write an original thesis. My tutorial reading included de la Vallee-Poussin's beautiful Cours d'Analyse Infinitesimale, Hausdorff's Grundzüge der Mengenlehre, and Frechet's Espaces Abstraits. In addition, I discovered Caratheodory's 1912 paper "Vber das lineare Mass von Punktmengen" and Hausdorff's 1919 paper on "Dimension und Ausseres Mass," and derived much inspiration from them. A fragment of my thesis, analyzing axiom systems for separable metrizable spaces, was later published [2]. * This background led to the work summarized in Part IV.
Author : Per Chr Hemmer
Publisher : World Scientific
ISBN 13 : 9789812795786
Total Pages : 1096 pages
Book Rating : 4.7/5 (957 download)
Download or read book The Collected Works of Lars Onsager written by Per Chr Hemmer and published by World Scientific. This book was released on 1996 with total page 1096 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the collected works of the eminent chemist and physicist Lars Onsager, one of the most influential scientists of the 20th Century.The volume includes Onsager''s previously unpublished PhD thesis, a biography by H C Longuet-Higgins and M E Fisher, an autobiographical commentary, selected photographs, and a list of Onsager discussion remarks in print.Onsager''s scientific achievements were characterized by deep insights into the natural sciences. His two best-known accomplishments are his reciprocal relations for irreversible processes, for which he received the 1968 Nobel Prize in Chemistry, and his explicit solution of the two-dimensional Ising model, a mathematical tour de force that created a sensation when it appeared. In addition, he made significant theoretical contributions to other fields, including electrolytes, colloids, superconductivity, turbulence, ice, electrons in metals, and dielectrics.In this volume, Onsager''s contributions are divided into the following fields: irreversible processes; the Ising model; electrolytes; colloids; helium II and vortex quantization; off-diagonal long-range order and flux quantization; electrons in metal; turbulence; ion recombination; fluctuation theory; dielectrics; ice and water; biology; Mathieu functions. The different fields are evaluated by leading experts. The commentators are P W Anderson, R Askey, A Chorin, C Domb, R J Donnelly, W Ebeling, J-C Justice, H N W Lekkerkerker, P Mazur, H P McKean, J F Nagle, T Odijk, A B Pippard, G Stell, G H Weiss, and C N Yang.
Author : Salomon Bochner
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870518
Total Pages : 790 pages
Book Rating : 4.8/5 (75 download)
Download or read book Collected Papers of Salomon Bochner written by Salomon Bochner and published by American Mathematical Soc.. This book was released on 1992 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collected papers of Salomon Bochner, American mathematician, known for work in mathematical analysis, probability theory and differential geometry.
Author : Charles F. Dunkl
Publisher : World Scientific
ISBN 13 : 9789810243937
Total Pages : 460 pages
Book Rating : 4.2/5 (439 download)
Download or read book Proceedings of the International Workshop, Special Functions written by Charles F. Dunkl and published by World Scientific. This book was released on 2000 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special functions and q-series are currently very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory, harmonic analysis, and mathematical physics. This book presents the state-of-the-art of the subject and its applications.
Author : Gábor Szegő
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (81 download)
Download or read book Collected Papers written by Gábor Szegő and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen C. Milne
Publisher : Springer Science & Business Media
ISBN 13 : 1475754620
Total Pages : 150 pages
Book Rating : 4.4/5 (757 download)
Download or read book Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions written by Stephen C. Milne and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of representing an integer as a sum of squares of integers is one of the oldest and most significant in mathematics. It goes back at least 2000 years to Diophantus, and continues more recently with the works of Fermat, Euler, Lagrange, Jacobi, Glaisher, Ramanujan, Hardy, Mordell, Andrews, and others. Jacobi's elliptic function approach dates from his epic Fundamenta Nova of 1829. Here, the author employs his combinatorial/elliptic function methods to derive many infinite families of explicit exact formulas involving either squares or triangular numbers, two of which generalize Jacobi's (1829) 4 and 8 squares identities to 4n2 or 4n(n+1) squares, respectively, without using cusp forms such as those of Glaisher or Ramanujan for 16 and 24 squares. These results depend upon new expansions for powers of various products of classical theta functions. This is the first time that infinite families of non-trivial exact explicit formulas for sums of squares have been found. The author derives his formulas by utilizing combinatorics to combine a variety of methods and observations from the theory of Jacobi elliptic functions, continued fractions, Hankel or Turanian determinants, Lie algebras, Schur functions, and multiple basic hypergeometric series related to the classical groups. His results (in Theorem 5.19) generalize to separate infinite families each of the 21 of Jacobi's explicitly stated degree 2, 4, 6, 8 Lambert series expansions of classical theta functions in sections 40-42 of the Fundamental Nova. The author also uses a special case of his methods to give a derivation proof of the two Kac and Wakimoto (1994) conjectured identities concerning representations of a positive integer by sums of 4n2 or 4n(n+1) triangular numbers, respectively. These conjectures arose in the study of Lie algebras and have also recently been proved by Zagier using modular forms. George Andrews says in a preface of this book, `This impressive work will undoubtedly spur others both in elliptic functions and in modular forms to build on these wonderful discoveries.' Audience: This research monograph on sums of squares is distinguished by its diversity of methods and extensive bibliography. It contains both detailed proofs and numerous explicit examples of the theory. This readable work will appeal to both students and researchers in number theory, combinatorics, special functions, classical analysis, approximation theory, and mathematical physics.
Author : Herbert Stahl
Publisher : Cambridge University Press
ISBN 13 : 9780521415347
Total Pages : 272 pages
Book Rating : 4.4/5 (153 download)
Download or read book General Orthogonal Polynomials written by Herbert Stahl and published by Cambridge University Press. This book was released on 1992-04-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: An encyclopedic presentation of general orthogonal polynomials, placing emphasis on asymptotic behaviour and zero distribution.
Author : A. Cuyt
Publisher : Springer Science & Business Media
ISBN 13 : 9789027726698
Total Pages : 486 pages
Book Rating : 4.7/5 (266 download)
Download or read book Nonlinear Numerical Methods and Rational Approximation written by A. Cuyt and published by Springer Science & Business Media. This book was released on 1988-01-31 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; use Stein spaces. And in addition to this there are and prediction and electrical engineering can such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : R.A. Askey
Publisher : Springer Science & Business Media
ISBN 13 : 9401097879
Total Pages : 342 pages
Book Rating : 4.4/5 (1 download)
Download or read book Special Functions: Group Theoretical Aspects and Applications written by R.A. Askey and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from It isn't that they can't see the right end and begin with the solution. the answers. Then one day, It is that they can't see the perhaps you will find the problem. final question. G.K. Chesterton. The Scandal 'The Hermit Clad in Crane of Father Brown 'The Point of Feathers' in R. van Gulik's a Pin'. The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging SUbdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Janos Horvath
Publisher : Springer Science & Business Media
ISBN 13 : 3540307214
Total Pages : 639 pages
Book Rating : 4.5/5 (43 download)
Download or read book A Panorama of Hungarian Mathematics in the Twentieth Century, I written by Janos Horvath and published by Springer Science & Business Media. This book was released on 2010-06-28 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: A glorious period of Hungarian mathematics started in 1900 when Lipót Fejér discovered the summability of Fourier series.This was followed by the discoveries of his disciples in Fourier analysis and in the theory of analytic functions. At the same time Frederic (Frigyes) Riesz created functional analysis and Alfred Haar gave the first example of wavelets. Later the topics investigated by Hungarian mathematicians broadened considerably, and included topology, operator theory, differential equations, probability, etc. The present volume, the first of two, presents some of the most remarkable results achieved in the twentieth century by Hungarians in analysis, geometry and stochastics. The book is accessible to anyone with a minimum knowledge of mathematics. It is supplemented with an essay on the history of Hungary in the twentieth century and biographies of those mathematicians who are no longer active. A list of all persons referred to in the chapters concludes the volume.
Author : Bettye Anne Case
Publisher : American Mathematical Soc.
ISBN 13 : 9780821804650
Total Pages : 348 pages
Book Rating : 4.8/5 (46 download)
Download or read book A Century of Mathematical Meetings written by Bettye Anne Case and published by American Mathematical Soc.. This book was released on 1996 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This features contributions by and about some of the luminaries of American mathematics. Included here are essays based on presentations made during the symposium Celebration of 100 Years of Annual Meetings, held at the AMS meeting in Cincinnati in 1994. The papers in this collection form a vibrant collage of mathematical personalities. This book weaves a tapestry of mathematical life in the United States, with emphasis on the past seventy years. Photographs, old and recent, further decorate that tapestry. There are many stories to be told about the making of mathematics and the personalities of those who meet to share it. This collection offers a celebration in words and pictures of a century of American mathematical life.
Author : Kameshwar C Wali
Publisher : World Scientific
ISBN 13 : 1783262648
Total Pages : 234 pages
Book Rating : 4.7/5 (832 download)
Download or read book S Chandrasekhar: The Man Behind The Legend written by Kameshwar C Wali and published by World Scientific. This book was released on 1997-11-21 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subrahmanyan Chandrasekhar — known simply as Chandra throughout the scientific world — has become a legendary figure for his prolific contributions to physics, astrophysics, and applied mathematics. Before his death in 1995, Chandra had forbidden a memorial of the conventional sort, celebrating his life. This book, which contains some thirty articles by his former students, his associates, and his colleagues, is in a sense a memorial volume. It says little about Chandra's great scientific achievements, but shows his human side and the various facets of his brilliant personality, his incredible memory, his wit, and the breadth of his knowledge of art, music, literature, and the humanities in general. The contributors to this highly interesting book are among the few who broke the seemingly forbidden barrier surrounding the very private Chandra and came to know him well in one context or another. They include Lalitha Chandrasekhar, Roger Penrose, Richard H Dalitz, J W Cronin, Robert G Sachs, Abhay Ashtekar, and Robert Wald.
Author : Vilmos Komornik
Publisher : Springer
ISBN 13 : 1447168119
Total Pages : 417 pages
Book Rating : 4.4/5 (471 download)
Download or read book Lectures on Functional Analysis and the Lebesgue Integral written by Vilmos Komornik and published by Springer. This book was released on 2016-06-03 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads naturally to the basic notions and theorems. Most results are illustrated by the small lp spaces. The Lebesgue integral, meanwhile, is treated via the direct approach of Frigyes Riesz, whose constructive definition of measurable functions leads to optimal, clear-cut versions of the classical theorems of Fubini-Tonelli and Radon-Nikodým. Lectures on Functional Analysis and the Lebesgue Integral presents the most important topics for students, with short, elegant proofs. The exposition style follows the Hungarian mathematical tradition of Paul Erdős and others. The order of the first two parts, functional analysis and the Lebesgue integral, may be reversed. In the third and final part they are combined to study various spaces of continuous and integrable functions. Several beautiful, but almost forgotten, classical theorems are also included. Both undergraduate and graduate students in pure and applied mathematics, physics and engineering will find this textbook useful. Only basic topological notions and results are used and various simple but pertinent examples and exercises illustrate the usefulness and optimality of most theorems. Many of these examples are new or difficult to localize in the literature, and the original sources of most notions and results are indicated to help the reader understand the genesis and development of the field.
Author : Paul Nevai
Publisher : Springer Science & Business Media
ISBN 13 : 9780792305699
Total Pages : 494 pages
Book Rating : 4.3/5 (56 download)
Download or read book Orthogonal Polynomials written by Paul Nevai and published by Springer Science & Business Media. This book was released on 1989-12-31 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, U.S.A. between May 22,1989 and June 3,1989. The Advanced Study Institute primarily concentrated on those aspects of the theory and practice of orthogonal polynomials which surfaced in the past decade when the theory of orthogonal polynomials started to experience an unparalleled growth. This progress started with Richard Askey's Regional Confer ence Lectures on "Orthogonal Polynomials and Special Functions" in 1975, and subsequent discoveries led to a substantial revaluation of one's perceptions as to the nature of orthogonal polynomials and their applicability. The recent popularity of orthogonal polynomials is only partially due to Louis de Branges's solution of the Bieberbach conjecture which uses an inequality of Askey and Gasper on Jacobi polynomials. The main reason lies in their wide applicability in areas such as Pade approximations, continued fractions, Tauberian theorems, numerical analysis, probability theory, mathematical statistics, scattering theory, nuclear physics, solid state physics, digital signal processing, electrical engineering, theoretical chemistry and so forth. This was emphasized and convincingly demonstrated during the presentations by both the principal speakers and the invited special lecturers. The main subjects of our Advanced Study Institute included complex orthogonal polynomials, signal processing, the recursion method, combinatorial interpretations of orthogonal polynomials, computational problems, potential theory, Pade approximations, Julia sets, special functions, quantum groups, weighted approximations, orthogonal polynomials associated with root systems, matrix orthogonal polynomials, operator theory and group representations.
