An Open Map

An Open Map

Author: Robert Duncan

Publisher: University of New Mexico Press

Published: 2017

Total Pages: 328

ISBN-13: 0826358969

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The 130 letters collected in this volume begin in 1947 just after Robert Duncan and Charles Olson first meet in Berkeley, California, and continue to Olson's death in January 1970.


Mathematical Analysis

Mathematical Analysis

Author: Andrew Browder

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 348

ISBN-13: 1461207150

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Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.


This Is Not an Atlas

This Is Not an Atlas

Author: kollektiv orangotango

Publisher: transcript Verlag

Published: 2018-11-30

Total Pages: 354

ISBN-13: 3839445191

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This Is Not an Atlas gathers more than 40 counter-cartographies from all over the world. This collection shows how maps are created and transformed as a part of political struggle, for critical research or in art and education: from indigenous territories in the Amazon to the anti-eviction movement in San Francisco; from defending commons in Mexico to mapping refugee camps with balloons in Lebanon; from slums in Nairobi to squats in Berlin; from supporting communities in the Philippines to reporting sexual harassment in Cairo. This Is Not an Atlas seeks to inspire, to document the underrepresented, and to be a useful companion when becoming a counter-cartographer yourself.


There's a Map on My Lap! All About Maps

There's a Map on My Lap! All About Maps

Author: Tish Rabe

Publisher: Random House Books for Young Readers

Published: 2002-09-24

Total Pages: 49

ISBN-13: 0375810994

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Laugh and learn with fun facts about mapmakers, geography, compasses, and more—all told in Dr. Seuss’s beloved rhyming style and starring the Cat in the Hat! “You may travel the world, but no matter how far, with a map on your lap you will know where you are.” The Cat in the Hat’s Learning Library series combines beloved characters, engaging rhymes, and Seussian illustrations to introduce children to non-fiction topics from the real world! Go on a journey and learn: • how to read the latitude and longitude lines on a map • why a hiker uses a topographical map • why mapmakers use a scale and legends • and much more! Perfect for story time and for the youngest readers, There’s a Map on My Lap! All About Maps also includes an index, glossary, and suggestions for further learning. Look for more books in the Cat in the Hat’s Learning Library series! If I Ran the Horse Show: All About Horses Clam-I-Am! All About the Beach Miles and Miles of Reptiles: All About Reptiles A Whale of a Tale! All About Porpoises, Dolphins, and Whales Safari, So Good! All About African Wildlife Oh, the Lavas That Flow! All About Volcanoes Out of Sight Till Tonight! All About Nocturnal Animals What Cat Is That? All About Cats Once upon a Mastodon: All About Prehistoric Mammals Oh Say Can You Say What's the Weather Today? All About Weather The Cat on the Mat: All About Mindfulness


Introduction to Singularities

Introduction to Singularities

Author: Shihoko Ishii

Publisher: Springer

Published: 2014-11-19

Total Pages: 227

ISBN-13: 443155081X

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This book is an introduction to singularities for graduate students and researchers. It is said that algebraic geometry originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. Most of them were about non-singular varieties. Singularities were considered “bad” objects that interfered with knowledge of the structure of an algebraic variety. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. Another example is that the moduli spaces of varieties have natural compactification, the boundaries of which correspond to singular varieties. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dim ensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied.


New York Supplement

New York Supplement

Author:

Publisher:

Published: 1916

Total Pages: 1192

ISBN-13:

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Includes decisions of the Supreme Court and various intermediate and lower courts of record; May/Aug. 1888-Sept../Dec. 1895, Superior Court of New York City; Mar./Apr. 1926-Dec. 1937/Jan. 1938, Court of Appeals.


Topology from the Differentiable Viewpoint

Topology from the Differentiable Viewpoint

Author: John Willard Milnor

Publisher: Princeton University Press

Published: 1997-12-14

Total Pages: 80

ISBN-13: 9780691048338

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This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.


Fourier Analysis on Number Fields

Fourier Analysis on Number Fields

Author: Dinakar Ramakrishnan

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 372

ISBN-13: 1475730853

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A modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasising harmonic analysis on topological groups. The main goal is to cover John Tates visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries -- technical prerequisites that are often foreign to the typical, more algebraically inclined number theorist. While most of the existing treatments of Tates thesis are somewhat terse and less than complete, the intent here is to be more leisurely, more comprehensive, and more comprehensible. While the choice of objects and methods is naturally guided by specific mathematical goals, the approach is by no means narrow. In fact, the subject matter at hand is germane not only to budding number theorists, but also to students of harmonic analysis or the representation theory of Lie groups. The text addresses students who have taken a year of graduate-level course in algebra, analysis, and topology. Moreover, the work will act as a good reference for working mathematicians interested in any of these fields.