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Collected Papers 1945 1972
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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:
Book Synopsis Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions by : Stephen C. Milne
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.
Book Synopsis Guide to Research Collections of Former United States Senators 1789-1982 by : United States. Congress. Senate
Download or read book Guide to Research Collections of Former United States Senators 1789-1982 written by United States. Congress. Senate and published by Government Printing Office. This book was released on 1982 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis National Library of Medicine Current Catalog by : National Library of Medicine (U.S.)
Download or read book National Library of Medicine Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: First multi-year cumulation covers six years: 1965-70.
Book Synopsis Analytic and Geometric Inequalities and Applications by : Themistocles RASSIAS
Download or read book Analytic and Geometric Inequalities and Applications written by Themistocles RASSIAS and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo metry. Subjects dealt with in this volume include: Fractional order inequalities of Hardy type, differential and integral inequalities with initial time differ ence, multi-dimensional integral inequalities, Opial type inequalities, Gruss' inequality, Furuta inequality, Laguerre-Samuelson inequality with extensions and applications in statistics and matrix theory, distortion inequalities for ana lytic and univalent functions associated with certain fractional calculus and other linear operators, problem of infimum in the positive cone, alpha-quasi convex functions defined by convolution with incomplete beta functions, Chebyshev polynomials with integer coefficients, extremal problems for poly nomials, Bernstein's inequality and Gauss-Lucas theorem, numerical radii of some companion matrices and bounds for the zeros of polynomials, degree of convergence for a class of linear operators, open problems on eigenvalues of the Laplacian, fourth order obstacle boundary value problems, bounds on entropy measures for mixed populations as well as controlling the velocity of Brownian motion by its terminal value. A wealth of applications of the above is also included. We wish to express our appreciation to the distinguished mathematicians who contributed to this volume. Finally, it is our pleasure to acknowledge the fine cooperation and assistance provided by the staff of Kluwer Academic Publishers. June 1999 Themistocles M. Rassias Hari M.
Book Synopsis Current Catalog by : National Library of Medicine (U.S.)
Download or read book Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: First multi-year cumulation covers six years: 1965-70.
Book Synopsis Orthogonal Polynomials on the Unit Circle by : Barry Simon
Download or read book Orthogonal Polynomials on the Unit Circle written by Barry Simon and published by American Mathematical Soc.. This book was released on 2009-08-05 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szego's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by $z$ (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line.
Book Synopsis Partial Differential Equations of Elliptic Type by : Angelo Alvino
Download or read book Partial Differential Equations of Elliptic Type written by Angelo Alvino and published by Cambridge University Press. This book was released on 1994-08-26 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a conference proceedings volume covering the latest advances in partial differential equations of elliptic type. All workers on partial differential equations will find this book contains much valuable information.
Book Synopsis Nonlinear Numerical Methods and Rational Approximation by : A. Cuyt
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.
Book Synopsis Play Culture in a Changing World by : Marjatta Kalliala
Download or read book Play Culture in a Changing World written by Marjatta Kalliala and published by McGraw-Hill Education (UK). This book was released on 2005-11-16 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cultural context in which children grow up has a powerful influence on the way they play. At a time of rapid change in post-industrial societies, childhood play is changing to reflect children’s experiences. Adults need to understand that children have their own play culture, which might be different from that of the adults’ own childhoods. Enlivened by the voices of young children engaged in contemporary play, this accessible book enables readers to re-evaluate the contribution of play in childhood. It explores the persistence of fundamental play themes alongside new variations on traditional themes, including: Competitions and games Games of chance and luck The world of make-believe ‘Dizzy play’ This book helps adults to be reflective and to encourage children’s play by understanding and valuing their play culture. It is important reading for early years students and practitioners.
Book Synopsis Invented Traditions in North and South Korea by : Andrew David Jackson
Download or read book Invented Traditions in North and South Korea written by Andrew David Jackson and published by University of Hawaii Press. This book was released on 2021-11-30 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost forty years after the publication of Hobsbawm and Ranger’s The Invention of Tradition, the subject of invented traditions—cultural and historical practices that claim a continuity with a distant past but which are in fact of relatively recent origin—is still relevant, important, and highly contentious. Invented Traditions in North and South Korea examines the ways in which compressed modernity, Cold War conflict, and ideological opposition has impacted the revival of traditional forms in both Koreas. The volume is divided thematically into sections covering: (1) history, religions, (2) language, (3) music, food, crafts, and finally, (4) space. It includes chapters on pseudo-histories, new religions, linguistic politeness, literary Chinese, p’ansori, heritage, North Korean food, architecture, and the invention of children’s pilgrimages in the DPRK. As the first comparative study of invented traditions in North and South Korea, the book takes the reader on a journey through Korea’s epic twentieth century, examining the revival of culture in the context of colonialism, decolonization, national division, dictatorship, and modernization. The book investigates what it describes as “monumental” invented traditions formulated to maintain order, loyalty, and national identity during periods of political upheaval as well as cultural revivals less explicitly connected to political power. Invented Traditions in North and South Korea demonstrates that invented traditions can teach us a great deal about the twentieth-century political and cultural trajectories of the two Koreas. With contributions from historians, sociologists, folklorists, scholars of performance, and anthropologists, this volume will prove invaluable to Koreanists, as well as teachers and students of Korean and Asian studies undergraduate courses.
Book Synopsis My Philosophical Development by : Bertrand Russell
Download or read book My Philosophical Development written by Bertrand Russell and published by Psychology Press. This book was released on 1995 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bertrand Russell's survey of nearly seventy years of his own work is one of the most illuminating books. It is a masterpiece of philosophical autobiography. This edition includes a new introduction by Thomas Baldwin, University of Cambridge.
Download or read book On Education written by Bertrand Russell and published by Psychology Press. This book was released on 1985-01-28 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'With admirable clarity, Mrs Peters sums up what determines competence in spelling and the traditional and new approaches to its teaching.' -Times Literary Supplement
Book Synopsis Ethics without Self, Dharma without Atman by : Gordon F. Davis
Download or read book Ethics without Self, Dharma without Atman written by Gordon F. Davis and published by Springer. This book was released on 2018-07-18 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of essays offers direct comparisons of historic Western and Buddhist perspectives on ethics and metaphysics, tracing parallels and contrasts all the way from Plato to the Stoics, Spinoza to Hume, and Schopenhauer through to contemporary ethicists such as Arne Naess, Charles Taylor and Derek Parfit. It compares and contrasts each Western philosopher with a particular strand in the Buddhist tradition, in some chapters represented by individual writers such as Nagarjuna, Vasubandhu, Santideva or Tsong Khapa. It does so in light of both analytic concerns and themes from the existentialist and phenomenological traditions, and often in an ecumenical spirit that bridges both analytic and continentalist approaches. Some of the deepest questions in ethics, dealing with the scope of agency, value-laden notions of personhood and the nature of value in general, are intertwined with questions in metaphysics. One set of questions addresses how varying conceptions of selfhood relate to moral values (e.g. the concern of self or selves for the well-being of others); another set of questions addresses how a conception of oneself or one’s selves should or should not affect how one thinks of happiness, or eudaimonia, or – in classical Indian terms – artha, sukha or nirvana. Western philosophy has featured discussion of both, but some would argue that certain traditions of Asian philosophy have offered a more sustained and even treatment of both sets of questions. The Buddhist tradition in particular has not only featured much discussion on both fronts, but has attracted many contemporary philosophers to its distinctive spectrum of approaches, and to what is – from many ‘Western’ points of view – a seemingly subversive analysis of ego, selfhood and personhood, whether in metaphysical, phenomenological or other incarnations.
Download or read book The Publishers Weekly written by and published by . This book was released on 1909 with total page 2250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Speculative City by : Susanna Phillips Newbury
Download or read book The Speculative City written by Susanna Phillips Newbury and published by U of Minnesota Press. This book was released on 2021-04-20 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: A forensic examination of the mutual relationship between art and real estate in a transforming Los Angeles Underlying every great city is a rich and vibrant culture that shapes the texture of life within. In The Speculative City, Susanna Phillips Newbury teases out how art and Los Angeles shaped one another’s evolution. She compellingly articulates how together they transformed the Southland, establishing the foundation for its contemporary art infrastructure, and explains how artists came to influence Los Angeles’s burgeoning definition as the global city of the twenty-first century. Pairing particular works of art with specific innovations in real estate development, The Speculative City reveals the connections between real estate and contemporary art as they constructed Los Angeles’s present-day cityscape. From banal parking lots to Frank Gehry’s designs for artists’ studios and museums, Newbury examines pivotal interventions by artists and architects, city officials and cultural philanthropists, concluding with an examination of how, in the wake of the 2008 global credit crisis, contemporary art emerged as a financial asset to fuel private wealth and urban gentrification. Both a history of the transformation of the Southland and a forensic examination of works of art, The Speculative City is a rich complement to the California chronicles by such writers as Rebecca Solnit and Mike Davis.
Book Synopsis The CSCE and the End of the Cold War by : Nicolas Badalassi
Download or read book The CSCE and the End of the Cold War written by Nicolas Badalassi and published by Berghahn Books. This book was released on 2018-11-16 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: From its inception, the Conference on Security and Cooperation in Europe (CSCE) provoked controversy. Today it is widely regarded as having contributed to the end of the Cold War. Bringing together new and innovative research on the CSCE, this volume explores questions key to understanding the Cold War: What role did diplomats play in shaping the 1975 Helsinki Final Act? How did that agreement and the CSCE more broadly shape societies in Europe and North America? And how did the CSCE and activists inspired by the Helsinki Final Act influence the end of the Cold War?