Category: Mathematics

  • Download e-book for kindle: Power Geometry in Algebraic and Differential Equations by A. D. Bruno

    By A. D. Bruno

    ISBN-10: 0444502971

    ISBN-13: 9780444502971

    The geometry of strength exponents contains the Newton polyhedron, common cones of its faces, strength and logarithmic changes. at the foundation of the geometry common algorithms for simplifications of structures of nonlinear equations (algebraic, usual differential and partial differential) have been built. The algorithms shape a brand new calculus which permits to make neighborhood and asymptotical research of ideas to these structures. The potency of the calculus is validated in regards to numerous complex difficulties from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics. The calculus additionally offers classical effects got prior intuitively and is an alternative choice to Algebraic Geometry, Differential Algebra, Lie staff research and Nonstandard research.
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  • Download PDF by Bradley P.S., Fayyad U.M., Mangasarian O.L.: Mathematical Programming for Data Mining: Formulations and

    By Bradley P.S., Fayyad U.M., Mangasarian O.L.

    This paper is meant to function an summary of a swiftly rising examine and functions region. as well as supplying a normal review, motivating the significance of knowledge mining difficulties in the quarter of data discovery in databases, our objective is to record many of the urgent study demanding situations, and description possibilities for contributions by means of the optimization examine groups. in the direction of those ambitions, we contain formulations of the elemental different types of knowledge mining equipment as optimization difficulties. We additionally offer examples of profitable mathematical programming methods to a couple facts mining difficulties.
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  • George G. Szpiro's Die Keplersche Vermutung: Wie Mathematiker ein 400 Jahre PDF

    By George G. Szpiro

    ISBN-10: 3642127401

    ISBN-13: 9783642127403

    Sir Walter Raleigh wollte wissen, wie Kanonenkugeln in einem Schiff am dichtesten aufgestapelt werden können. Im Jahre 1611 gab der Astronom Johannes Kepler die einleuchtende Antwort: genau so, wie Gemüsehändler Orangen und Tomaten auf den Marktständen aufstapeln. Doch dies conflict lediglich eine Vermutung, die Mathematiker vier Jahrhunderte lang zu beweisen versuchten. Erst 1998 gelang es dem amerikanischen Mathematiker Thomas Hales, die Vermutung mit der Hilfe von Computern mathematisch zu beweisen. Sowohl allgemeininteressierte Leser als auch Mathematikstudenten, Schüler und Lehrer werden dieses Buch mit Interesse lesen.

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  • Marcia Birken, Anne C. Coon's Discovering Patterns in Mathematics and Poetry PDF

    By Marcia Birken, Anne C. Coon

    ISBN-10: 1435633105

    ISBN-13: 9781435633100

    ISBN-10: 9042023708

    ISBN-13: 9789042023703

    You're invited to hitch a desirable trip of discovery, as Marcia Birken and Anne C. Coon discover the intersecting styles of arithmetic and poetry - bringing the 2 fields jointly in a brand new approach. atmosphere the tone with humor and illustrating each one bankruptcy with numerous examples, Birken and Coon start with styles we will be able to see, pay attention, and consider after which flow to extra complicated styles. quantity structures and nursery rhymes result in the Golden suggest and sestinas. easy styles of form introduce tessellations and urban poetry. Fractal geometry makes fractal poetry attainable. eventually, styles for the brain bring about questions: How do mathematicians and poets conceive of evidence, paradox, and infinity? What position does analogy play in mathematical discovery and poetic expression? The e-book could be of distinctive curiosity to readers who get pleasure from searching for connections throughout conventional disciplinary barriers. getting to know styles in arithmetic and Poetry positive factors centuries of artistic paintings through mathematicians, poets, and artists, together with Fibonacci, Albrecht D?rer, M. C. Escher, David Hilbert, Benoit Mandelbrot, William Shakespeare, Edna St. Vincent Millay, Langston Hughes, E.E. Cummings, and lots of modern experimental poets. unique illustrations contain electronic pictures, mathematical and poetic versions, and fractal imagery. Marcia Birken and Anne C. Coon have collaborated for over two decades, exploring the connections among arithmetic and literature of their learn, writing, and team-teaching. The co-authors of diverse scholarly articles and ebook chapters, they're school contributors at Rochester Institute of expertise, Rochester, manhattan. Birken is Professor Emeritus within the institution of Mathematical Sciences, university of technological know-how, and Coon is Sr. affiliate Dean and Professor of English within the collage of Liberal Arts.
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  • Read e-book online Generalized convexity and optimization: theory and PDF

    By Prof. Alberto Cambini, Prof. Laura Martein (auth.)

    ISBN-10: 3540708758

    ISBN-13: 9783540708759

    ISBN-10: 3540708766

    ISBN-13: 9783540708766

    The authors have written a rigorous but straightforward and self-contained e-book to give, in a unified framework, generalized convex capabilities, that are the numerous non-convex features that proportion at the very least one of many beneficial houses of convex features and that are frequently improved for describing real-world difficulties. The e-book can be a great tool not just for researchers, but additionally for graduates and complicated scholars operating in economics, mathematical programming, the administration sciences and operations examine. It starts with a evaluate of convex research and the basic theoretical findings on generalized convexity and on optimization, together with their purposes. The textual content keeps with an introductory bankruptcy dedicated to generalized monotonicity and its dating to generalized convexity, with the characterizations of significant periods of fractional programming, and with theoretical homes and sequential equipment. The ebook additionally comprises a variety of workouts and appendices which checklist the findings consulted.

    "I can hugely suggest this wonderful new quantity to an individual who's attempting to train on generalized convexity/generalized monotonicity in an utilized arithmetic division or in a qualified university. the amount includes proofs and workouts. It additionally offers adequate references if you happen to are looking to dig deeper as graduate scholars and as researchers. With commitment and masses love the authors have produced a ebook that's obtainable for somebody with a restricted history in simple arithmetic on the university point. while, it additionally results in extra refined arithmetic in case you spend extra time on a selected chapter."

    From the Foreword, Siegfried Schaible, collage of California, Riverside, USA

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  • V. I. Arnold, S. P. Novikov's Dynamical systems 04: Symplectic geometry PDF

    By V. I. Arnold, S. P. Novikov

    ISBN-10: 0387170030

    ISBN-13: 9780387170039

    This publication takes a photo of the mathematical foundations of classical and quantum mechanics from a latest mathematical point of view. It covers a few vital contemporary advancements in dynamical structures and mathematical physics and areas them within the framework of the extra classical techniques; the presentation is better by means of many illustrative examples bearing on themes that have been of especial curiosity to employees within the box, and by means of sketches of the proofs of the most important effects. the excellent bibliographies are designed to allow the reader to retrace the foremost phases within the improvement of the sector if he needs. no longer quite a bit a close textbook for plodding scholars, this quantity, just like the others within the sequence, is meant to steer researchers in different fields and complex scholars quick to an knowing of the 'state of the paintings' during this region of arithmetic. As such it is going to serve either as a simple reference paintings on very important components of mathematical physics as they stand this present day, and as an excellent place to begin for extra, extra unique learn for individuals new to this box.
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  • Read e-book online Elementary Mathematical Models: Order Aplenty and a Glimpse PDF

    By Dan Kalman

    ISBN-10: 0883857073

    ISBN-13: 9780883857076

    The language of arithmetic has confirmed over centuries of program to be an fundamental device for the expression and research of actual difficulties. the following Kalman explains for an viewers of non-mathematicians the relevance of mathematical types to phenomena starting from inhabitants progress and economics to drugs and the actual sciences.
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  • Universal solution for algebraic equations of all degrees in by McGinnis M. PDF

    By McGinnis M.

    This quantity of the author's mathematical discoveries makes its visual appeal on the request of many capable mathematicians, lecturers, and students during the usa, between some of whom are: J. M. Greenwood, Superintendent of Kansas urban faculties and President of the nationwide organization of schooling; N. B. Newsom, Professor of arithmetic and Languages on the Kansas country collage, Lawrence; R. P. Baker, Professor of arithmetic and Languages, Lamar, and J. C. Shelton, President of Scarritt collage, Neosho, Missouri; F. С Colburn, imperative of highschool, Texarkana, Texas; and L. D. Harvey, country Superintendent of Wisconsin.
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  • A Monte Carlo Primer: A Practical Approach to Radiation - download pdf or read online

    By Stephen A. Dupree, Stanley K. Fraley

    ISBN-10: 1441984917

    ISBN-13: 9781441984913

    The mathematical means of Monte Carlo, as utilized to the delivery of sub-atomic debris, has been defined in several studies and books due to the fact its formal improvement within the Forties. almost all these educational efforts were directed both on the mathematical foundation of the approach or at its sensible software as embodied within the numerous huge, formal laptop codes to be had for appearing Monte Carlo shipping calculations. This ebook makes an attempt to fill what seems to be a niche during this Monte Carlo literature among the maths and the software program. hence, whereas the mathematical foundation for Monte Carlo delivery is roofed in a few aspect, emphasis is put on the appliance of the strategy to the answer of sensible radiation delivery difficulties. this is often performed through the use of the computer because the uncomplicated instructing software. This publication assumes the reader has an information of vital calculus, neutron delivery conception, and Fortran programming. It additionally assumes the reader has on hand a computer with a Fortran compiler. Any workstation of average measurement may be sufficient to breed the examples or remedy the routines contained herein. The authors think it is necessary for the reader to execute those examples and routines, and by way of doing so that you can develop into comprehensive at getting ready acceptable software program for fixing radiation delivery difficulties utilizing Monte Carlo. The step from the software program defined during this publication to using construction Monte Carlo codes will be straight forward.
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