Download E-books Mathematics under the Microscope (Monograph Book) PDF

By Alexandre V. Borovik

The author's aim is to begin a discussion among mathematicians and cognitive scientists. He discusses, from a operating mathematician's standpoint, the secret of mathematical instinct: why are definite mathematical techniques extra intuitive than others? To what quantity does the ``small scale'' constitution of mathematical innovations and algorithms mirror the workings of the human mind? What are the ``elementary particles'' of arithmetic that building up the mathematical universe? The ebook is saturated with fun examples from a variety of disciplines--from turbulence to error-correcting codes to logic--as good as with simply puzzles and brainteasers. regardless of the very severe subject material, the author's strategy is lighthearted and pleasing. this can be an strange and surprisingly attention-grabbing booklet. Readers who by no means considered arithmetic after their university years could be surprised to find what percentage conduct of brain, principles, or even fabric gadgets which are inherently mathematical function construction blocks of our civilization and way of life. a certified mathematician, reluctantly breaking the day-by-day regimen, or wondering on a few resisting challenge, will open this ebook and revel in a unexpected go back to his or her younger days while arithmetic used to be clean, fascinating, and conserving all supplies. and don't take the observe ``microscope'' within the name too actually: in truth, the writer appears to be like round, in time and area, focusing in activate an immense number of explanations, from mathematical ``memes'' (genes of tradition) to an strange lifetime of a Hollywood celebrity. --Yuri I. Manin, Max-Planck Institute of arithmetic, Bonn, and Northwestern college

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Download E-books Symmetries of Equations of Quantum Mechanics PDF

By Vilgelm Ilich Fushchich, A. G. Nikitin, W. I. Fushchich

This publication is dedicated to the research of outdated (classical) and new (non-Lie) symmetries of the basic equations of quantum mechanics and classical box conception, and to the category and algebraic-theoretical deduction of equations of movement of arbitrary spin debris in either Poincaré invariant process. The authors current certain information regarding the representations of the Galilei and Poincaré teams and their attainable generalizations, and expound a brand new technique for investigating symmetries of partial differential equations; this ends up in discovering formerly unknown algebras and teams of invariance of the Dirac, Maxwell and different equations.

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Download E-books Foundation Maths (4th Edition) PDF

By Anthony Croft, Robert Davison

Beginning Maths has been written for college students taking greater or extra schooling classes, who've no longer specialized in arithmetic on post-16 skills and want to exploit mathematical instruments of their classes. it's perfect for these learning advertising, company reports, administration, technological know-how, engineering, computing device technology, social technology, geography, mixed reviews and layout. it is going to be important when you lack self belief and want cautious, regular tips in mathematical equipment. Even for these whose mathematical services is already proven, the ebook may be a worthwhile revision and reference consultant. the fashion of the ebook additionally makes it appropriate for self-study or distance studying.

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Download E-books Vorlesungen über Geschichte der antiken mathematischen Wissenschaften: Vorgriechische Mathematik (Grundlehren der mathematischen Wissenschaften) (Volume 43) (German Edition) PDF

By Otto Neugebauer

Wenn guy sich fiber den Mechanismus der vorgriechischen Mathe matik einigermaBen Klarheit verschaffen will, so muB guy zunachst den auBeren Apparat dieser Mathematik, d. h. die Rechentechnik ver stehen. Fiir die ganze vorgriechische Mathematik ist es eigentiimlich, daB sie uns in allen ihren Texten nicht in allgemeinen Formeln oder geometrischen Beweisen Euklidischen Stiles entgegentritt, sondem nur durch zahlenmaBig vorgerechnete Einzelbeispiele. guy ist additionally schon aus auBeren Griinden veranlaBt, sich mit der agyptischen und babylo nischen Rechentechnik auseinanderzusetzen, denn ohne sie zu kennen ist es gar nicht moglich, die Fragen der numerischen Behandlung einer Aufgabe von den sachlichen Methoden zu scheiden. Dariiber hinaus zeigt aber die nahere Untersuchung der vorgriechischen Mathematik, daB die tiefgehenden Unterschiede zwischen der 1igyptischen und der babylonischen Mathematik ganz wesentlich bedingt sind durch den Grad, in we1chem guy das rein Numerische zu beherrschen verstanden hat. Es wird eine der wesentlichsten Aufgaben dieser Vorlesungen sein, zu zeigen, daB die volle Beherrschung aller numerischen Probleme die eigentliche Voraussetzung fiir das hohe Niveau der babylonischen Mathematik bildet, ebenso wie der Zustand der agyptischen Mathematik bedingt ist durch die eigentumliche Richtung, in der sich die agyptische Rechentechnik im Gegensatz zur babylonischen entwickelt hat. Fur die vorgriechische Mathematik ist additionally das Studium ihrer Rechen technik ebenso wesentlich wie die Kenntnis der eigentiimlichen "geo metrischen Algebra" fur das Verstandnis etwa der Archimedischen Integrationsmethoden oder der griechischen Theorie der Kegelschnitte. Es betrifft additionally wirklich die Grundlagen der vorgriechischen Mathe matik, wenn wir uns zunachst mit ihrer numerischen Methode ver traut machen.

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Download E-books Large Scale Eigenvalue Problems: Workshop Proceedings (Mathematics Studies) PDF

Result of examine into huge scale eigenvalue difficulties are provided during this quantity. The papers fall into 4 relevant different types: novel algorithms for fixing huge eigenvalue difficulties, novel laptop architectures, computationally-relevant theoretical analyses, and difficulties the place huge scale eigenelement computations have supplied new perception.

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