Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader wit...
Eric Temple Bell (1883-1960) was a distinguished mathematician and a best selling popularizer of mathematics. His Men of Mathematics, still in print after almost sixty years, inspired scores of young readers to become mathematicians. Under the name of John Taine, he also published science fiction novels (among them The Time Stream, Before the Dawn, and The Crystal Horde) that served to broaden the subject matter of that genre during its early years. In The Search for E. T. Bell, Constance Reid h...
Attracteurs Pour Certains Probl mes d' volutions Li s Au P-Laplacian (Omn.Univ.Europ.)
by El Ouardi-H
This monograph describes the numerical analysis of non-linearities in structural mechanics, i.e. large rotations, large strain (geometric non-linearities), non-linear material behaviour, in particular elasto-plasticity as well as time-dependent behaviour, and contact. Based on that, the book treats stability problems and limit-load analyses, as well as non-linear equations of a large number of variables. Moreover, the author presents a wide range of problem sets and their solutions. The target a...
In "Exterior Differential Systems", the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study, because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly empha...
999 Nonquantitative Problems for Fe Examination Review
by Kenton Whitehead
Calculus Illustrated. Volume 2 (Calculus Illustrated, #2)
by Peter Saveliev
Minimal Surfaces and Functions of Bounded Variation (Monographs in Mathematics, #80)
by Giusti
The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after the foundation of the calculus of variations, and is one which received a satis factory solution only in recent years. Called the problem of Plateau, after the blind physicist who did beautiful experiments with soap films and bubbles, it has resisted the efforts of many mathematicians for more than a century. It was only in the thirties...
Modern Mathematics and Mechanics (Understanding Complex Systems)
In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems. These abstract mathematical approaches are applied to problem-solving in solid mechanics, hydro- a...
Ordinary Differential Equations (Cambridge IISc)
by A. K. Nandakumaran, P. S. Datti, and Raju K. George
Written in a clear, logical and concise manner, this comprehensive resource allows students to quickly understand the key principles, techniques and applications of ordinary differential equations. Important topics including first and second order linear equations, initial value problems and qualitative theory are presented in separate chapters. The concepts of two point boundary value problems, physical models and first order partial differential equations are discussed in detail. The text uses...
Chaotic phenomena flourish in nature. They often originate in systems whose components are governed by simple laws, but whose overall behaviour is very complex. This text aims to give an elementary introduction to the theory of chaotic systems and to demonstrate how chaos and coherence are interwoven into some of the simplest models exhibiting deterministic chaos. This is part of a theory more formally known as dynamical systems theory. Extensive use has been made of Lyapunov models, throughout...
Logical Foundations of Database Transformations for Complex-Value Databases
by Qing Wang
Einschätzen von Wahrscheinlichkeiten und die Rolle des Zufalls
by Karin Sieber
Regressionsanalyse Mit SPSS (de Gruyter Studium)
by Christian Fg Schendera