This wikibook aims to be a quality calculus textbook through which users may master the discipline. Standard topics such as limits, differentiation and integration are covered as well as sequences and series, multivariable and differential calculus.
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Author: Carmen Chicone, Richard Swanson | Size: 420 KB | Format:PDF | Quality:Unspecified | Publisher: American Mathematical Society | Year: 2000 | pages: 64
The standard proof of the Grobman--Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by first establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. In this exposition we present a simple direct proof that avoids the discrete case altogether.
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Author: Augustus De Morgan | Size: 1.4 MB | Format:PDF | Quality:Unspecified | Publisher: The Open Court Publishing | Year: 1910 | pages: 318 | ISBN: 1241253889
In compiling the following pages, object has been to notice particularly several points in the principles of algebra and geometry, which have not obtained their due importance in our elementary works on these sciences.
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Author: Hyman Bass | Size: 670 KB | Format:PDF | Quality:Unspecified | Publisher: Tata Institute of Fundamental Research | Year: 1967 | pages: 138 | ISBN: B007FHCOYG
Topics: The exact sequence of algebraic K-theory; Categories of modules and their equivalences; The Brauer group of a commutative ring; The Brauer-Wall group of graded Azumaya algebras; The structure of the Clifford Functor.
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This European Standard is applicable to the planning, execution, testing and monitoring of ground treatment by deep vibration achieved by depth vibrators and compaction probes.
The following types of treatment are covered by this European Standard:
- deep vibratory compaction to densify the existing ground;
- vibrated stone columns to form a stiffened composite ground structure by the insertion of granular material which itself shall be densified. Generally, stone columns have a diameter greater than 0,6 m and lower than 1,2 m.
The following treatment methods are covered by this European Standard:
- methods in which depth vibrators, containing oscillating weights which cause horizontal vibrations, are inserted into the ground;
- methods in which compaction probes are inserted into the ground using a vibrator which remains at the ground surface and which in most cases oscillates in a vertical mode.
Treatment methods are outlined in Annexes A and B.
The following treatment methods, among others, are not included in this European Standard:
- methods in which sand or stone columns are installed by means of impact or top vibratory driven casing;
- methods in which very stiff columns are formed either by the addition of cement to granular material or by the use of concrete or any other binder;
- dynamic compaction and other methods in which some form of treatment is applied to the ground surface;
- explosive compaction.
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The Finite Element Method: An Introduction with Partial Differential Equations
Author: A. J. Davies | Size: 1.83 MB | Format:PDF | Quality:Original preprint | Publisher: Oxford University Press | Year: 2011 | pages: 320 | ISBN: 0199609136
The finite element method is a technique for solving problems in applied science and engineering. The essence of this book is the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. The method is developed for the solution of Poisson's equation, in a weighted-residual context, and then proceeds to time-dependent and nonlinear problems. The relationship with the variational approach is also explained.
This book is written at an introductory level, developing all the necessary concepts where required. Consequently, it is well-placed to be used as a textbook for a course in finite elements for final year undergraduates, the usual place for studying finite elements. There are worked examples throughout and each chapter has a set of exercises with detailed solutions.
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