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A Simple Introduction to Numerical Analysis
Approximation techniques are widely used in mathematics and applied physics, as exact solutions are frequently impossible to obtain. A Simple Introduction to Numerical Analysis, Volume 2: Interpolation and Approximation extends the first volume to consider problems in interpolation and approximation. Topics covered include the construction of interpolating functions, the determination of polynomial and rational function approximations, numerical quadrature, and the solution of boundary value problems in ordinary differential equations. As with the previous volume, the text is integrated with a software package that allows the reader to work through numerous examples. It is also possible to use the software to consider problems that are beyond the scope of the text. The authors' expertise in combining text and software has resulted in a very readable work.
An Introduction to Groups
An Introduction to Groups: A Computer Illustrated Text discusses all the concepts necessary for a thorough understanding of group theory. The book covers various theorems, including Lagrange and Sylow. It also details Cayley tables, Burnside's lemma, homomorphisms, and dicyclic groups. The book is ideal for advanced mathematics students and beginning undergraduates.
Lift
Describes four mindsets that, together, enable us to have a consistently positive influence Accessible but rooted in the latest research in psychology and social science Features engaging personal stories that bring key principles to life in business situations, at home, and in the community Just as the Wright Brothers combined science and pract...
Applied Calculus
A text for interactive Calculus courses, featuring innovative problems This sixth edition of Applied Calculus engages students with well-constructed problems and content to deepen understanding. The Rule of Four approach is supported in the text, where concepts are presented graphically, numerically, symbolically, and verbally. Students with a range of learning styles will be able to progress in the subject as they are exposed to a range of exercises. This is a loose-leaf edition.
Mechanics
Mechanics Second Edition P. Smith Department of Mathematics University of Keele, UK and R.C. Smith Open University, UK A revised and updated edition of the authors' highly successful earlier book, this introductory text on Mechanics is designed to give a thorough grounding in particle dynamics and elementary rigid body dynamics. Aimed at first degree students in Mathematics, Physics, Chemistry and Engineering, the book is largely self-contained, including the necessary vector calculus, as well as background differential equations and numerical methods. Topics covered include kinematics, the principles of mechanics, work and energy, rocket dynamics, linear vibration theory, orbits, non-linear...
Scientific Programmer's Toolkit
The Scientific Programmer's Toolkit: Turbo Pascal Edition presents a complete software environment for anyone writing programs in mathematical, engineering, or science areas. This toolkit package is designed for use with Turbo Pascal, the de facto standard Pascal system for PC and compatible machines. The book and its software provides an integrated software library of programming tools. The programs and routines fall into three categories: graphical, mathematical, and utilities. Routines are further subdivided into three levels that reflect the experience of the user. For graphics and text handling routines there is also a Level 0, which provides an interface to the machine operating system...
Approximation with Quasi-Splines
In the theory of splines, a function is approximated piece-wise by (usually cubic) polynomials. Quasi-splines is the natural extension of this, allowing us to use any useful class of functions adapted to the problem. Approximation with Quasi-Splines is a detailed account of this highly useful technique in numerical analysis. The book presents the requisite approximation theorems and optimization methods, developing a unified theory of one and several variables. The author applies his techniques to the evaluation of definite integrals (quadrature) and its many-variables generalization, which he calls "cubature." This book should be required reading for all practitioners of the methods of approximation, including researchers, teachers, and students in applied, numerical and computational mathematics.
The Earth's Electrical Environment
This latest addition to the Studies in Geophysics series explores in scientific detail the phenomenon of lightning, cloud, and thunderstorm electricity, and global and regional electrical processes. Consisting of 16 papers by outstanding experts in a number of fields, this volume compiles and reviews many recent advances in such research areas as meteorology, chemistry, electrical engineering, and physics and projects how new knowledge could be applied to benefit mankind.
New Advances in Modal Synthesis of Large Structures: Non-linear Damped and Non-deterministic Cases
The modal analysis of the structures appears to be an essential tool to master their dynamic behaviour. Particularly, the modal synthesis methods combined with the updating technics of the Finite Element models lead to the definition of strategies peculiarly efficient. At present, several developments are being carried out in order to spread these procedures to the latest requirements in structural dynamics: Vibro-acoustic . behaviour; Stochastic approach; Non-linear analysis; Introduction of composite materials. The target of the MV2 International Conference was to take stock of the new methods suggested and to assess their effectiveness. The interest in this book is to gather original works that rely on high-level approaches although these works are clearly intended to industrual applications.
An Introduction to Unconstrained Optimisation
Integrating computer graphics and computer-based exercises with the text, An Introduction to Unconstrained Optimisation illustrates key methods with many examples and exercises using the computer. The book takes an elementary approach to this advanced topic, allowing readers to concentrate on learning and understanding the concepts of numerical optimization without unnecessary involvement in the intricacies of the subject. In addition, the modular approach of the software provides the opportunity to explore the algorithms used and to develop them further or try alternative approaches. Most of the algorithms are based upon a "hill-climbing" concept which, in two dimensions, is illustrated dyn...
