Ramanujan

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821891254
Total Pages : 366 pages
Book Rating : 4.8/5 (912 download)

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Book Synopsis Ramanujan by : Srinivasa Ramanujan Aiyangar

Download or read book Ramanujan written by Srinivasa Ramanujan Aiyangar and published by American Mathematical Soc.. This book was released on 1995-09-07 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The letters that Ramanujan wrote to G. H. Hardy on January 16 and February 27, 1913, are two of the most famous letters in the history of mathematics. These and other letters introduced Ramanujan and his remarkable theorems to the world and stimulated much research, especially in the 1920s and 1930s. This book brings together many letters to, from, and about Ramanujan. The letters came from the National Archives in Delhi, the Archives in the State of Tamil Nadu, and a variety of other sources. Helping to orient the reader is the extensive commentary, both mathematical and cultural, by Berndt and Rankin; in particular, they discuss in detail the history, up to the present day, of each mathematical result in the letters. Containing many letters that have never been published before, this book will appeal to those interested in Ramanujan's mathematics as well as those wanting to learn more about the personal side of his life. Ramanujan: Letters and Commentary was selected for the CHOICE list of Outstanding Academic Books for 1996.

The Annenbergs

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Publisher : Simon & Schuster
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Annenbergs by : John E. Cooney

Download or read book The Annenbergs written by John E. Cooney and published by Simon & Schuster. This book was released on 1982 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is the colorful and dramatic biography of two of America's most controversial entrepreneurs: Moses Louis Annenberg, 'the racing wire king, ' who built his fortune in racketeering, invested it in publishing, and lost much of it in the biggest tax evasion case in United States history; and his son, Walter, launcher of TV Guide and Seventeen magazines and former ambassador to Great Britain."--Jacket.

Foundations of Logic and Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 146120125X
Total Pages : 425 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Foundations of Logic and Mathematics by : Yves Nievergelt

Download or read book Foundations of Logic and Mathematics written by Yves Nievergelt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.

Godel

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Publisher :
ISBN 13 : 0786747609
Total Pages : 222 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Godel by : John L. Casti

Download or read book Godel written by John L. Casti and published by . This book was released on 2009-04-21 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.

Discrete Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821820803
Total Pages : 212 pages
Book Rating : 4.8/5 (28 download)

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Book Synopsis Discrete Groups by : Kenʼichi Ōshika

Download or read book Discrete Groups written by Kenʼichi Ōshika and published by American Mathematical Soc.. This book was released on 2002 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with geometric and topological aspects of discrete groups. The main topics are hyperbolic groups due to Gromov, automatic group theory, invented and developed by Epstein, whose subjects are groups that can be manipulated by computers, and Kleinian group theory, which enjoys the longest tradition and the richest contents within the theory of discrete subgroups of Lie groups. What is common among these three classes of groups is that when seen as geometric objects, they have the properties of a negatively curved space rather than a positively curved space. As Kleinian groups are groups acting on a hyperbolic space of constant negative curvature, the technique employed to study them is that of hyperbolic manifolds, typical examples of negatively curved manifolds. Although hyperbolic groups in the sense of Gromov are much more general objects than Kleinian groups, one can apply for them arguments and techniques that are quite similar to those used for Kleinian groups. Automatic groups are further general objects, including groups having properties of spaces of curvature 0. Still, relationships between automatic groups and hyperbolic groups are examined here using ideas inspired by the study of hyperbolic manifolds. In all of these three topics, there is a ``soul'' of negative curvature upholding the theory. The volume would make a fine textbook for a graduate-level course

Infinite Homotopy Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792369820
Total Pages : 312 pages
Book Rating : 4.3/5 (698 download)

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Book Synopsis Infinite Homotopy Theory by : H-J. Baues

Download or read book Infinite Homotopy Theory written by H-J. Baues and published by Springer Science & Business Media. This book was released on 2001-06-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with algebraic topology, homotopy theory and simple homotopy theory of infinite CW-complexes with ends. Contrary to most other works on these subjects, the current volume does not use inverse systems to treat these topics. Here, the homotopy theory is approached without the rather sophisticated notion of pro-category. Spaces with ends are studied only by using appropriate constructions such as spherical objects of CW-complexes in the category of spaces with ends, and all arguments refer directly to this category. In this way, infinite homotopy theory is presented as a natural extension of classical homotopy theory. In particular, this book introduces the construction of the proper groupoid of a space with ends and then the cohomology with local coefficients is defined by the enveloping ringoid of the proper fundamental groupoid. This volume will be of interest to researchers whose work involves algebraic topology, category theory, homological algebra, general topology, manifolds, and cell complexes.

Riemannian Geometry of Contact and Symplectic Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 1475736045
Total Pages : 263 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Riemannian Geometry of Contact and Symplectic Manifolds by : David E. Blair

Download or read book Riemannian Geometry of Contact and Symplectic Manifolds written by David E. Blair and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.).

Cohomological Analysis of Partial Differential Equations and Secondary Calculus

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821897997
Total Pages : 268 pages
Book Rating : 4.8/5 (979 download)

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Book Synopsis Cohomological Analysis of Partial Differential Equations and Secondary Calculus by : A. M. Vinogradov

Download or read book Cohomological Analysis of Partial Differential Equations and Secondary Calculus written by A. M. Vinogradov and published by American Mathematical Soc.. This book was released on 2001-10-16 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to fundamentals of a new theory, which is an analog of affine algebraic geometry for (nonlinear) partial differential equations. This theory grew up from the classical geometry of PDE's originated by S. Lie and his followers by incorporating some nonclassical ideas from the theory of integrable systems, the formal theory of PDE's in its modern cohomological form given by D. Spencer and H. Goldschmidt and differential calculus over commutative algebras (Primary Calculus). The main result of this synthesis is Secondary Calculus on diffieties, new geometrical objects which are analogs of algebraic varieties in the context of (nonlinear) PDE's. Secondary Calculus surprisingly reveals a deep cohomological nature of the general theory of PDE's and indicates new directions of its further progress. Recent developments in quantum field theory showed Secondary Calculus to be its natural language, promising a nonperturbative formulation of the theory. In addition to PDE's themselves, the author describes existing and potential applications of Secondary Calculus ranging from algebraic geometry to field theory, classical and quantum, including areas such as characteristic classes, differential invariants, theory of geometric structures, variational calculus, control theory, etc. This book, focused mainly on theoretical aspects, forms a natural dipole with Symmetries and Conservation Laws for Differential Equations of Mathematical Physics, Volume 182 in this same series, Translations of Mathematical Monographs, and shows the theory "in action".

Energy Methods for Free Boundary Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200911
Total Pages : 338 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Energy Methods for Free Boundary Problems by : S.N. Antontsev

Download or read book Energy Methods for Free Boundary Problems written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.

Probability Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821828525
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Probability Theory by : S. R. S. Varadhan

Download or read book Probability Theory written by S. R. S. Varadhan and published by American Mathematical Soc.. This book was released on 2001-09-10 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents topics in probability theory covered during a first-year graduate course given at the Courant Institute of Mathematical Sciences. The necessary background material in measure theory is developed, including the standard topics, such as extension theorem, construction of measures, integration, product spaces, Radon-Nikodym theorem, and conditional expectation. In the first part of the book, characteristic functions are introduced, followed by the study of weak convergence of probability distributions. Then both the weak and strong limit theorems for sums of independent random variables are proved, including the weak and strong laws of large numbers, central limit theorems, laws of the iterated logarithm, and the Kolmogorov three series theorem. The first part concludes with infinitely divisible distributions and limit theorems for sums of uniformly infinitesimal independent random variables. The second part of the book mainly deals with dependent random variables, particularly martingales and Markov chains. Topics include standard results regarding discrete parameter martingales and Doob's inequalities. The standard topics in Markov chains are treated, i.e., transience, and null and positive recurrence. A varied collection of examples is given to demonstrate the connection between martingales and Markov chains. Additional topics covered in the book include stationary Gaussian processes, ergodic theorems, dynamic programming, optimal stopping, and filtering. A large number of examples and exercises is included. The book is a suitable text for a first-year graduate course in probability.

Handbook of Metric Fixed Point Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9401717486
Total Pages : 702 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Handbook of Metric Fixed Point Theory by : W.A. Kirk

Download or read book Handbook of Metric Fixed Point Theory written by W.A. Kirk and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces. Because most of the spaces studied in analysis share many algebraic and topological properties as well as metric properties, there is no clear line separating metric fixed point theory from the topological or set-theoretic branch of the theory. Also, because of its metric underpinnings, metric fixed point theory has provided the motivation for the study of many geometric properties of Banach spaces. The contents of this Handbook reflect all of these facts. The purpose of the Handbook is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The goal is to provide information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers.

Kac-Moody Groups, their Flag Varieties and Representation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817642273
Total Pages : 630 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Kac-Moody Groups, their Flag Varieties and Representation Theory by : Shrawan Kumar

Download or read book Kac-Moody Groups, their Flag Varieties and Representation Theory written by Shrawan Kumar and published by Springer Science & Business Media. This book was released on 2002-09-10 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Most of these topics appear here for the first time in book form. Many of them are interesting even in the classical case of semi-simple algebraic groups. Some appendices recall useful results from other areas, so the work may be considered self-contained, although some familiarity with semi-simple Lie algebras or algebraic groups is helpful. It is clear that this book is a valuable reference for all those interested in flag varieties and representation theory in the semi-simple or Kac-Moody case." —MATHEMATICAL REVIEWS "A lot of different topics are treated in this monumental work. . . . many of the topics of the book will be useful for those only interested in the finite-dimensional case. The book is self contained, but is on the level of advanced graduate students. . . . For the motivated reader who is willing to spend considerable time on the material, the book can be a gold mine. " —ZENTRALBLATT MATH

Calculus and Analytic Geometry

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Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Calculus and Analytic Geometry by : Abraham Schwartz

Download or read book Calculus and Analytic Geometry written by Abraham Schwartz and published by . This book was released on 1967 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Control Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792370352
Total Pages : 578 pages
Book Rating : 4.3/5 (73 download)

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Book Synopsis Partial Differential Control Theory by : J. F. Pommaret

Download or read book Partial Differential Control Theory written by J. F. Pommaret and published by Springer Science & Business Media. This book was released on 2001 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic analysis, that is the algebraic study of systems of partial differential equations by means of module theory and homological algebra, was pioneered around 1970 by M. Kashiwara, B. Malgrange, and V.P. Palamodov. The theory of differential modules, namely modules over a noncommutative ring of differential operators, is a fashionable subject of research today. However, despite its fundamental importance in mathematics, it can only be found in specialist books and papers, and has only been applied in control theory since 1990. This book provides an account of algebraic analysis and its application to control systems defined by partial differential equations. The first volume presents the mathematical tools needed from both commutative algebra, homological algebra, differential geometry and differential algebra. The second volume applies these new methods in order to study the structural and input/output properties of both linear and nonlinear control systems. Hundreds of explicit examples allow the reader to gain insight and experience in these topics.

Conned Again, Watson!

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Publisher :
ISBN 13 : 9780099428572
Total Pages : 290 pages
Book Rating : 4.4/5 (285 download)

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Book Synopsis Conned Again, Watson! by : Colin Bruce

Download or read book Conned Again, Watson! written by Colin Bruce and published by . This book was released on 2002 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: We all lose time and money because of bad decisions, perfectly happy in the illusion that our common sense is choosing the right path for us. In Conned Again, Watson! Sherlock Holmes uses his vast knowledge solve crimes and protect the innocent in a series of cautionary tales of greedy gamblers, reckless businessmen and ruthless conmen. From 'The Execution of Andrews' to 'The Case of the Gambling Nobleman' and 'The Case of the Paranoid Student', there has never been a more exciting way to learn when to take a calculated risk - and how to spot a scam. In this illuminating collection of twelve new Sherlock Holmes stories, challenges of logic, probability, statistics, game theory and more are illustrated. A thought-provoking introduction to maths relevant to everyday life, this book will change the way you look at making decisions.

Some T'ang and Pre-t'ang Texts on Chinese Painting

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Publisher : Brill Archive
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4./5 ( download)

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Book Synopsis Some T'ang and Pre-t'ang Texts on Chinese Painting by : William Reynolds Beal Acker

Download or read book Some T'ang and Pre-t'ang Texts on Chinese Painting written by William Reynolds Beal Acker and published by Brill Archive. This book was released on 1954 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theatricality

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Publisher : Cambridge University Press
ISBN 13 : 9780521012072
Total Pages : 260 pages
Book Rating : 4.0/5 (12 download)

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Book Synopsis Theatricality by : Tracy C. Davis

Download or read book Theatricality written by Tracy C. Davis and published by Cambridge University Press. This book was released on 2003 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of specially-commissioned, accessible, essays explores that element of performance theory known as theatricality. Six case studies use historically specific circumstances to illustrate how and why the concept of theatricality was and is used. Topics discussed include early use of the term; employment of 'theatricality' by a number of other disciplines to describe events; non-Western interpretation of theatricality; and its use when discussing and analyzing political and cultural events and philosophies. The book provides a first-step guide for those discovering the complex yet rewarding world of performance theory.