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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Introduction to Integral Calculus: Systematic Studies with Engineering Applications for Beginners
Author: Ulrich L. Rohde, G. C. Jain, Ajay K. Poddar, A. K. Ghosh, | Size: 2 MB | Format:PDF | Quality:Original preprint | Publisher: John Wiley & Sons | Year: 2012 | pages: 415 | ISBN: ISBN 978-1-118-11776-7
n accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences
I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving.
The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including:
Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals
Defining the natural logarithmic function using calculus
Evaluating definite integrals
Calculating plane areas bounded by curves
Applying basic concepts of differential equations to solve ordinary differential equations
With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.
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