Category: Mathematics

By G. V. Davydov (auth.), A. O. Slisenko (eds.)

By Clark G. L.

By Israel M. Gel'fand, G. E. Shilov

By Ji-Xiu C., Li T.

This publication encompasses a number of greater than 500 mathematical difficulties and their options from the PhD qualifying exam papers of greater than ten well-known American universities. the issues hide six elements of graduate institution arithmetic: Algebra, Differential Geometry, Topology, genuine research, advanced research and Partial Differential Equations. The intensity of information concerned isn't really past the contents of the textbooks for graduate scholars, whereas answer of the issues calls for deep realizing of the mathematical rules and expert recommendations. for college kids this publication is a important supplement to textbooks; for academics instructing graduate tuition arithmetic, a valuable reference.

By Elias M. Stein

The 1st contribution describes simple strategies, proof and difficulties of the fashionable concept of complete capabilities of numerous complicated variables. the second one contribution bargains with analogies of easy Nevanlinna's theorems in regards to the distribution of values within the multidimensional case and diverse functions. The 3rd contribution is dedicated to invariant metrics and volumes and their functions in difficulties of functionality thought of a number of variables. The fourth contribution touches upon numerous effects in regards to the stress of holomorphic mappings of complicated areas beginnning with classical Liouville's and Picard's theorems. Contribution 5 offers effects bearing on extension of holomorphic mappings to the bounds of domain names, and effects approximately correspondence of limitations and equivalence of domain names with recognize to biholomorphic mappings. Contribution six dwells at the challenge of biholomorphic equivalence of manifolds during this differential geometric element. The final contribution reports functions of multidimensional complicated geometry in sleek actual theories - supergravitation and supergauge fields. This quantity may be beneficial to advanced analysts and physicists. it really is rounded off by way of an in depth bibliography.

Encyclopédie des sciences mathématiques pures et appliquées. Tome IV. Cinquième quantity, Systèmes déformables. T.4, vol.5, fasc.2 / éd. française réd. et publ. d'après l'éd. allemande sous los angeles dir. de Jules Molk,... ; et pour ce qui concerne l. a. mécanique sous l. a. dir. scientifique de Paul Appell,...
Date de l'édition originale : 1912-1914
Sujet de l'ouvrage : Déformations (mécanique)

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By Zakharyta V.P., Semiguk O.S., Skiba N.I.

By N. G. Chetayev

During this booklet, we examine theoretical and functional elements of computing tools for mathematical modelling of nonlinear platforms. a couple of computing thoughts are thought of, similar to equipment of operator approximation with any given accuracy; operator interpolation strategies together with a non-Lagrange interpolation; equipment of procedure illustration topic to constraints linked to innovations of causality, reminiscence and stationarity; tools of approach illustration with an accuracy that's the most sensible inside a given category of versions; tools of covariance matrix estimation;methods for low-rank matrix approximations; hybrid tools in line with a mix of iterative techniques and most sensible operator approximation; andmethods for info compression and filtering below clear out version may still fulfill regulations linked to causality and kinds of memory.As a end result, the e-book represents a mix of latest tools often computational analysis,and particular, but additionally general, thoughts for examine of platforms conception ant its particularbranches, resembling optimum filtering and data compression. - top operator approximation,- Non-Lagrange interpolation,- common Karhunen-Loeve rework- Generalised low-rank matrix approximation- optimum info compression- optimum nonlinear filtering

By Pane Andov