The Lipschitz Collection
Author: Jacques Lipschitz
Publisher:
Published: 1960
Total Pages: 9
ISBN-13:
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Collected Works of William P. Thurston with Commentary
Author: Benson Farb
Publisher: American Mathematical Society
Published: 2023-06-05
Total Pages: 784
ISBN-13: 1470474727
DOWNLOAD EBOOKWilliam Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume I contains William Thurston's papers on foliations, mapping classes groups, and differential geometry.
Collected Papers
Author: Robert J. Aumann
Publisher: MIT Press
Published: 2000
Total Pages: 806
ISBN-13: 9780262011549
DOWNLOAD EBOOKRobert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. When you look closely at one scientific idea, writes Aumann, you find it hitched to all others. It is these hitches that I have tried to study.
Selected collected works
Author: Madan Lal Puri
Publisher: VSP
Published: 2003-01-01
Total Pages: 760
ISBN-13: 9789067643856
DOWNLOAD EBOOKProfessor Puri is one of the most versatile and prolific researchers in the world in mathematical statistics. His research areas include nonparametric statistics, order statistics, limit theory under mixing, time series, splines, tests of normality, generalized inverses of matrices and related topics, stochastic processes, statistics of directional data, random sets, and fuzzy sets and fuzzy measures. His fundamental contributions in developing new rank-based methods and precise evaluation of the standard procedures, asymptotic expansions of distributions of rank statistics, as well as large deviation results concerning them, span such areas as analysis of variance, analysis of covariance, multivariate analysis, and time series, to mention a few. His in-depth analysis has resulted in pioneering research contributions to prominent journals that have substantial impact on current research. This book together with the other two volumes (Volume 1: Nonparametric Methods in Statistics and Related Topics; Volume 3: Time Series, Fuzzy Analysis and Miscellaneous Topics), are a concerted effort to make his research works easily available to the research community. The sheer volume of the research output by him and his collaborators, coupled with the broad spectrum of the subject matters investigated, and the great number of outlets where the papers were published, attach special significance in making these works easily accessible. The papers selected for inclusion in this work have been classified into three volumes each consisting of several parts. All three volumes carry a final part consisting of the contents of the other two, as well as the complete list of Professor Puri'spublications.
Vitushkin’s Conjecture for Removable Sets
Author: James Dudziak
Publisher: Springer Science & Business Media
Published: 2011-02-03
Total Pages: 338
ISBN-13: 1441967095
DOWNLOAD EBOOKVitushkin's conjecture, a special case of Painlevé's problem, states that a compact subset of the complex plane with finite linear Hausdorff measure is removable for bounded analytic functions if and only if it intersects every rectifiable curve in a set of zero arclength measure. Chapters 1-5 of the book provide important background material on removability, analytic capacity, Hausdorff measure, arclength measure, and Garabedian duality that will appeal to many analysts with interests independent of Vitushkin's conjecture. The fourth chapter contains a proof of Denjoy's conjecture that employs Melnikov curvature. A brief postscript reports on a deep theorem of Tolsa and its relevance to going beyond Vitushkin's conjecture. This text can be used for a topics course or seminar in complex analysis. To understand it, the reader should have a firm grasp of basic real and complex analysis.
Weak Convergence of Measures
Author: Vladimir I. Bogachev
Publisher: American Mathematical Society
Published: 2024-07-29
Total Pages: 301
ISBN-13: 147047798X
DOWNLOAD EBOOKThis book provides a thorough exposition of the main concepts and results related to various types of convergence of measures arising in measure theory, probability theory, functional analysis, partial differential equations, mathematical physics, and other theoretical and applied fields. Particular attention is given to weak convergence of measures. The principal material is oriented toward a broad circle of readers dealing with convergence in distribution of random variables and weak convergence of measures. The book contains the necessary background from measure theory and functional analysis. Large complementary sections aimed at researchers present the most important recent achievements. More than 100 exercises (ranging from easy introductory exercises to rather difficult problems for experienced readers) are given with hints, solutions, or references. Historic and bibliographic comments are included. The target readership includes mathematicians and physicists whose research is related to probability theory, mathematical statistics, functional analysis, and mathematical physics.
Set-Valued Analysis
Author: Jean-Pierre Aubin
Publisher: Springer Science & Business Media
Published: 2009-03-02
Total Pages: 474
ISBN-13: 0817648488
DOWNLOAD EBOOK"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. ...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "This book provides a thorough introduction to multivalued or set-valued analysis... The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math
Set Valued Mappings with Applications in Nonlinear Analysis
Author: Donal O'Regan
Publisher: CRC Press
Published: 2002-09-26
Total Pages: 498
ISBN-13: 9780203216491
DOWNLOAD EBOOKInterest in the mathematical analysis of multi-functions has increased rapidly over the past thirty years, partly because of its applications in fields such as biology, control theory and optimization, economics, game theory, and physics. Set Valued Mappings with Applications to Nonlinear Analysis contains 29 research articles from leading mathematicians in this area. The contributors were invited to submit papers on topics such as integral inclusion, ordinary and partial differential inclusions, fixed point theorems, boundary value problems, and optimal control. This collection will be of interest to researchers in analysis and will pave the way for the creation of new mathematics in the future.
The Collected Works of Gertrude Stein
Author: Gertrude Stein
Publisher: DigiCat
Published: 2022-11-13
Total Pages: 2263
ISBN-13:
DOWNLOAD EBOOKDigiCat presents to you this unique and meticulously edited Gertrude Stein collection: Introduction A Message from Gertrude Stein Novels Three Lives The Making of Americans Poems, Stories & Plays Tender Buttons Objects Food Rooms Matisse, Picasso and Gertrude Stein A Long Gay Book Many Many Women G.M.P. Geography and Plays Susie Asado Ada Miss Furr and Miss Skeene A Collection France Americans Italians A Sweet Tail The History of Belmonte In the Grass England Mallorcan Stories Scenes The King or Something Publishers, the Portrait Gallery, and the Manuscripts of the British Museum Roche Braque Portrait of Prince B. D. Mrs. Whitehead Portrait of Constance Fletcher A Poem about Walberg Johnny Grey A Portrait of F. B. Sacred Emily IIIIIIIIII One (Van Vechten) One (Harry Phelan Gibb) A Curtain Raiser Ladies Voices What Happened White Wines Do Let Us Go Away For the Country Entirely Turkey Bones and Eating and We Liked It Every Afternoon Captain Walter Arnold Please Do Not Suffer He Said It Counting Her Dresses I Like It to Be a Play Not Sightly Bonne Annee Mexico A Family of Perhaps Three Advertisements Pink Melon Joy If You Had Three Husbands Work Again Tourty or Tourtebattre Next Land of Nations Accents in Alsace The Psychology of Nations or What Are You Looking At Four Saints in Three Acts Memoirs The Winner Loses The Americans are Coming Reflections on the Atom Bomb Biographies The Autobiography of Alice B. Toklas Picasso Portraits of Painters Gertrude Stein (1874-1946) was an American novelist, poet, playwright and art collector, best known for Three Lives, The Making of Americans and Tender Buttons. Stein moved to Paris in 1903, and made France her home for the remainder of her life. Picasso and Cubism were an important influence on Stein's writing. Her works are compared to James Joyce's Ulysses and to Marcel Proust's In Search of Lost Time.
Mutational and Morphological Analysis
Author: Jean-Pierre Aubin
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 460
ISBN-13: 1461215765
DOWNLOAD EBOOKThe analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory. These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth. However, shapes and images are basically sets, most often not smooth. J.-P. Aubin thus constructs another vision, where shapes and images are just any compact set. Hence their evolution -- which requires a kind of differential calculus -- must be studied in the metric space of compact subsets. Despite the loss of linearity, one can transfer most of the basic results of differential calculus and differential equations in vector spaces to mutational calculus and mutational equations in any mutational space, including naturally the space of nonempty compact subsets. "Mutational and Morphological Analysis" offers a structure that embraces and integrates the various approaches, including shape optimization and mathematical morphology. Scientists and graduate students will find here other powerful mathematical tools for studying problems dealing with shapes and images arising in so many fields.
