Download E-books Principles of Multiscale Modeling PDF

By Weinan E

Actual phenomena may be modeled at various levels of complexity and at diversified scales. Multiscale modeling offers a framework, in response to primary ideas, for developing mathematical and computational types of such phenomena, by means of reading the relationship among versions at assorted scales. This publication, through a number one contributor to the sector, is the 1st to supply a unified therapy of the topic, protecting, in a scientific manner, the final rules of multiscale versions, algorithms and research. After discussing the fundamental recommendations and introducing the elemental actual versions, the writer makes a speciality of the 2 commonest purposes of multiscale modeling: shooting macroscale habit and resolving neighborhood occasions. The therapy is complemented through chapters that take care of extra particular difficulties. all through, the writer moves a stability among precision and accessibility, supplying adequate aspect to allow the reader to appreciate the underlying ideas with out permitting technicalities to get within the method.

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Download E-books Stable Homotopy and Generalised Homology (Chicago Lectures in Mathematics) PDF

By J. F. Adams

J. Frank Adams, the founding father of solid homotopy concept, gave a lecture sequence on the college of Chicago in 1967, 1970, and 1971, the well-written notes of that are released during this vintage in algebraic topology. the 3 sequence all for Novikov's paintings on operations in complicated cobordism, Quillen's paintings on formal teams and complicated cobordism, and reliable homotopy and generalized homology. Adams's exposition of the 1st issues performed an important function in atmosphere the degree for contemporary paintings on periodicity phenomena in sturdy homotopy thought. His exposition at the 3rd subject occupies the majority of the ebook and provides his definitive therapy of the Adams spectral series besides many specific examples and calculations in KU-theory that aid supply a think for the subject.

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Download E-books Metric Spaces, Convexity and Nonpositive Curvature (IRMA Lectures in Mathematics & Theoretical Physics) (Irma Lectures in Mathematics and Theoretical Physics) PDF

By Athanase Papadopoulos

This e-book is set metric areas of nonpositive curvature within the experience of Busemann, that's, metric areas whose distance functionality satisfies a convexity situation. The ebook additionally features a systematic creation to metric geometry, in addition to an in depth presentation of a few features of convexity conception which are invaluable within the examine of nonpositive curvature. The techniques and the suggestions are illustrated by means of many examples, specifically from hyperbolic geometry, Hilbert geometry and Teichmüller thought. For the second one variation, a few corrections and some additions were made, and the bibliography has been up to date. A booklet of the ecu Mathematical Society. allotted in the Americas by way of the yank Mathematical Society.

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Download E-books Mécanique Analytique, Vol. 2 (Cambridge Library Collection) (French Edition) PDF

By Joseph-Louis Lagrange

Joseph-Louis Lagrange (1736-1813), one of many impressive French mathematicians of the progressive interval, is remembered for his paintings within the fields of study, quantity idea and mechanics. Like Laplace and Legendre, Lagrange used to be assisted through d'Alembert, and it was once at the suggestion of the latter and the urging of Frederick the nice himself that Lagrange succeeded Euler because the director of arithmetic on the Prussian Academy of Sciences in Berlin. The two-volume Mécanique analytique used to be first released in 1788; the variation offered this is that of 1811-15, revised through the writer ahead of his demise. during this paintings, claimed to be an important on classical mechanics considering the fact that Newton, Lagrange constructed the legislations of digital paintings, from which unmarried precept the full of reliable and fluid mechanics will be derived.

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Download E-books Communicating Mathematics: A Conference in Honor of Joseph A. Gallian's 65th Birthday, July 16-19, 2007, University of Minnesota, Duluth, Minnesota (Contemporary Mathematics) PDF

By Timothy Y. Chow, Daniel C. Isaksen

This quantity comprises the complaints of a convention held in July, 2007 on the collage of Minnesota, Duluth, in honor of Joseph A. Gallian's sixty fifth birthday and the thirtieth anniversary of the Duluth study adventure for Undergraduates. based on Gallian's outstanding expository skill and extensive mathematical pursuits, the articles during this quantity span a large choice of mathematical themes, together with algebraic topology, combinatorics, layout thought, forcing, online game concept, geometry, graph concept, crew concept, optimization, and likelihood. the various papers are in basic terms expository whereas others are learn articles. The papers are meant to be available to a normal arithmetic viewers, together with first-year or second-year graduate scholars. This quantity may be specifically worthwhile for mathematicians looking a brand new study zone, in addition to these trying to increase themselves and their learn courses through studying approximately difficulties and methods utilized in different components of arithmetic.

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Download E-books The Pleasures of Counting PDF

By T. W. Körner

During this attractive and readable publication, Dr. Körner describes a number of energetic themes that proceed to intrigue expert mathematicians. the subjects diversity from the layout of anchors and the conflict of the Atlantic to the outbreak of cholera in Victorian Soho. the writer makes use of particularly easy phrases and ideas, but explains problems and avoids condescension. while you are a mathematician who desires to clarify to others the way you spend your operating days, then search concept right here. This ebook will attract every person drawn to the makes use of of arithmetic.

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Download E-books Visions in Mathematics: GAFA 2000 Special Volume, Part I pp. 1-453 (Modern Birkhäuser Classics) PDF

By Noga Alon, Jean Bourgain, Alain Connes, Misha Gromov, Vitali D. Milman

The first of 2 volumes, this article compiles survey articles borne of a landmark 1999 Tel Aviv convention devoted to probing the significance, the tools, the earlier and way forward for arithmetic in addition to the relationship among arithmetic and comparable areas.

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Download E-books 1+1=10: Mathematik für Höhlenmenschen (German Edition) PDF

By Jürgen Beetz

Mehr als die einfache Logik eines Frühmenschen brauchen Sie nicht, um die Grundzüge der Mathematik zu verstehen. Denn Sie treffen in diesem Buch viele einfache, speedy gefühlsmäßig zu erfassende mathematische Prinzipien des täglichen Lebens.

Deswegen kann der Autor bei seinem Versuch, die Mathematik „begreiflich“ zu machen, in die Steinzeit zurückgehen – genauer gesagt: etwa in die Jungsteinzeit, 10.000 Jahre vor unserer Zeitrechnung. Ackerbau und Viehzucht hatten schon begonnen.

Dort treffen Sie Eddi Einstein, den Denker und Rudi Radlos, den Erfinder – die Hauptakteure. Ein dritter Geselle ist Siggi Spökenkieker, der Druide und Seher. Siggi ist mit der Gabe der Präkognition gesegnet. So können wir Eddi, den Denker, mit Erkenntnissen ausstatten, die erst Jahrtausende später von bedeutenden Philosophen und Mathematikern erlangt worden waren. Die wahre Meisterin dieser Wissenschaftsdisziplin ist jedoch Wilhelmine Wicca. Sie struggle so klug wie die drei Kerle zusammen. Deshalb galt sie auch als Hexe – used to be damals ein Ehrentitel struggle – und als weise Frau.

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