Doeblin and Modern Probability

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851497
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Doeblin and Modern Probability by : Harry Cohn

Download or read book Doeblin and Modern Probability written by Harry Cohn and published by American Mathematical Soc.. This book was released on 1993 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wolfgang Doeblin, one of the greatest probabilists of this century, died in action during World War II at the age of twenty-five. He left behind several seminal contributions which have profoundly influenced the field and continue to provide inspiration for current research. This book is based on papers presented at the conference, `Fifty Years after Doeblin: Developments in the Theory of Markov Chains, Markov Processes, and Sums of Random Variables', held at Blaubeuren, Germany, in November 1991. Presented here for the first time is an account of Doeblin's life and work, revealing the circumstances of his tragic death in 1940. Organized into sections according to topic, the papers describe both Doeblin's original contributions as well as current developments. With contributions by top probabilists from sixteen countries, this book will interest both researchers in probability and science historians.

Holomorphic Spaces

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Publisher : Cambridge University Press
ISBN 13 : 9780521631938
Total Pages : 490 pages
Book Rating : 4.6/5 (319 download)

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Book Synopsis Holomorphic Spaces by : Sheldon Jay Axler

Download or read book Holomorphic Spaces written by Sheldon Jay Axler and published by Cambridge University Press. This book was released on 1998-05-28 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.

Eigenvalues, Inequalities, and Ergodic Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1846281237
Total Pages : 239 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Eigenvalues, Inequalities, and Ergodic Theory by : Mu-Fa Chen

Download or read book Eigenvalues, Inequalities, and Ergodic Theory written by Mu-Fa Chen and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first and only book to make this research available in the West Concise and accessible: proofs and other technical matters are kept to a minimum to help the non-specialist Each chapter is self-contained to make the book easy-to-use

Number Theory II

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Publisher : Springer
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Number Theory II by : A. N. Parshin

Download or read book Number Theory II written by A. N. Parshin and published by Springer. This book was released on 1992 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 62 of the Encyclopedia presents the main structures and results of algebraic number theory with emphasis on algebraic number fields and class field theory. Written for the nonspecialist, the author assumes a general understanding of modern algebra and elementary number theory. Only the general properties of algebraic number fields and relate.

Hyperbolic Systems of Conservation Laws

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Publisher : Oxford University Press, USA
ISBN 13 : 9780198507000
Total Pages : 270 pages
Book Rating : 4.5/5 (7 download)

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Book Synopsis Hyperbolic Systems of Conservation Laws by : Alberto Bressan

Download or read book Hyperbolic Systems of Conservation Laws written by Alberto Bressan and published by Oxford University Press, USA. This book was released on 2000 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions, characterized by the appearance of shock waves. This area has experienced substantial progress in very recent years thanks to the introduction of new techniques, in particular the front tracking algorithm and the semigroup approach. These techniques provide a solution to the long standing open problems of uniqueness and stability of entropy weak solutions. This volume is the first to present a comprehensive account of these new, fundamental advances. It also includes a detailed analysis of the stability and convergence of the front tracking algorithm. A set of problems, with varying difficulty is given at the end of each chapter to verify and expand understanding of the concepts and techniques previously discussed. For researchers, this book will provide an indispensable reference to the state of the art in the field of hyperbolic systems of conservation laws.

Nonlinear Wave Equations

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Publisher : Springer
ISBN 13 : 3662557258
Total Pages : 399 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Nonlinear Wave Equations by : Tatsien Li

Download or read book Nonlinear Wave Equations written by Tatsien Li and published by Springer. This book was released on 2017-11-23 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut ions to the corresponding linear problems, the method simply applies the contraction mapping principle.

Algebraic Cobordism

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Publisher : Springer Science & Business Media
ISBN 13 : 3540368248
Total Pages : 252 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Algebraic Cobordism by : Marc Levine

Download or read book Algebraic Cobordism written by Marc Levine and published by Springer Science & Business Media. This book was released on 2007-02-23 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.

Federally Funded Research

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Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Federally Funded Research by :

Download or read book Federally Funded Research written by and published by . This book was released on 1991 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics: Frontiers and Perspectives

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821826973
Total Pages : 476 pages
Book Rating : 4.8/5 (269 download)

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Book Synopsis Mathematics: Frontiers and Perspectives by : Vladimir Igorevich Arnolʹd

Download or read book Mathematics: Frontiers and Perspectives written by Vladimir Igorevich Arnolʹd and published by American Mathematical Soc.. This book was released on 2000 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.

Mirror Symmetry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829556
Total Pages : 954 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mirror Symmetry by : Kentaro Hori

Download or read book Mirror Symmetry written by Kentaro Hori and published by American Mathematical Soc.. This book was released on 2003 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.

The Popularization of Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 9780521408677
Total Pages : 222 pages
Book Rating : 4.4/5 (86 download)

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Book Synopsis The Popularization of Mathematics by : A. G. Howson

Download or read book The Popularization of Mathematics written by A. G. Howson and published by Cambridge University Press. This book was released on 1990-11-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the papers arising from the ICMI study seminar on the popularization of mathematics held at the University of Leeds, UK, 17-22 September 1989. The event was organized in conjunction with a highly successful touring exhibition known as the 'Pop Maths Roadshow'. Inspired by the discussion document prepared by Howson, Kahane and Pollak, the symposium consisted of three plenary sessions discussing the problems faced in the popularization through particular media. Members were present from a variety of backgrounds and discussion groups were devoted to specific themes, such as the image of mathematicians, TV and films, and mathematics in different cultures.

International Comparisons in Mathematics Education

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Publisher : Routledge
ISBN 13 : 1135702128
Total Pages : 224 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis International Comparisons in Mathematics Education by : Ian Huntly

Download or read book International Comparisons in Mathematics Education written by Ian Huntly and published by Routledge. This book was released on 2012-10-12 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A critical overview of the current debate and topical thinking on international comparative investigations in mathematics education. The contributors are all major figures in international comparisons in mathematics. The book highlights strengths and weaknesses in various systems worldwide, allowing teachers, researchers and academics to compare and contrast different approaches. A significant contribution to the international debate on standards in mathematics.

Idempotent Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821841143
Total Pages : 228 pages
Book Rating : 4.8/5 (411 download)

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Book Synopsis Idempotent Analysis by : V. P. Maslov

Download or read book Idempotent Analysis written by V. P. Maslov and published by American Mathematical Soc.. This book was released on 1992 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Seminar on Fermat's Last Theorem

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Publisher : American Mathematical Soc.
ISBN 13 : 0821803131
Total Pages : 278 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Seminar on Fermat's Last Theorem by : Vijaya Kumar Murty

Download or read book Seminar on Fermat's Last Theorem written by Vijaya Kumar Murty and published by American Mathematical Soc.. This book was released on 1995 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most significant recent development in number theory is the work of Andrew Wiles on modular elliptic curves. Besides implying Fermat's Last Theorem, his work establishes a new reciprocity law. Reciprocity laws lie at the heart of number theory. Wiles' work draws on many of the tools of modern number theory and the purpose of this volume is to introduce readers to some of this background material. Based on a seminar held during 1993-1994 at the Fields Institute for Research in Mathematical Sciences, this book contains articles on elliptic curves, modular forms and modular curves, Serre's conjectures, Ribet's theorem, deformations of Galois representations, Euler systems, and annihilators of Selmer groups. All of the authors are well known in their field and have made significant contributions to the general area of elliptic curves, Galois representations, and modular forms. Features: Brings together a unique collection of number theoretic tools. Makes accessible the tools needed to understand one of the biggest breakthroughs in mathematics. Provides numerous references for further study.

Mathematical Aspects of Computer Science

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821867280
Total Pages : 234 pages
Book Rating : 4.8/5 (672 download)

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Book Synopsis Mathematical Aspects of Computer Science by : Jacob T. Schwartz

Download or read book Mathematical Aspects of Computer Science written by Jacob T. Schwartz and published by American Mathematical Soc.. This book was released on 1967-12-31 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Kepler Conjecture

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Publisher : Springer
ISBN 13 : 9781461411284
Total Pages : 456 pages
Book Rating : 4.4/5 (112 download)

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Book Synopsis The Kepler Conjecture by : Jeffrey C. Lagarias

Download or read book The Kepler Conjecture written by Jeffrey C. Lagarias and published by Springer. This book was released on 2011-11-08 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list. The Kepler conjecture states that the densest packing of three-dimensional Euclidean space by equal spheres is attained by the “cannonball" packing. In a landmark result, this was proved by Thomas C. Hales and Samuel P. Ferguson, using an analytic argument completed with extensive use of computers. This book centers around six papers, presenting the detailed proof of the Kepler conjecture given by Hales and Ferguson, published in 2006 in a special issue of Discrete & Computational Geometry. Further supporting material is also presented: a follow-up paper of Hales et al (2010) revising the proof, and describing progress towards a formal proof of the Kepler conjecture. For historical reasons, this book also includes two early papers of Hales that indicate his original approach to the conjecture. The editor's two introductory chapters situate the conjecture in a broader historical and mathematical context. These chapters provide a valuable perspective and are a key feature of this work.

Theta Functions

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821870112
Total Pages : 188 pages
Book Rating : 4.8/5 (71 download)

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Book Synopsis Theta Functions by : Maruti Ram Murty

Download or read book Theta Functions written by Maruti Ram Murty and published by American Mathematical Soc.. This book was released on 1993-01-01 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains lectures on theta functions written by experts well known for excellence in exposition. The lectures represent the content of four courses given at the Centre de Recherches Mathematiques in Montreal during the academic year 1991-1992, which was devoted to the study of automorphic forms. Aimed at graduate students, the book synthesizes the classical and modern points of view in theta functions, concentrating on connections to number theory and representation theory. An excellent introduction to this important subject of current research, this book is suitable as a text in advanced graduate courses.