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Continuum Theory (Lecture Notes in Pure and Applied Mathematics)
Continuum Theory (Lecture Notes in Pure and Applied Mathematics)
[A]ll of the appers of this volume have a consistent scientific value.
- Analele Stiintifice al Universitatii al I. Cuza

Celebrating the work of world-renowned mathematician Sam B. Nadler, Jr., this reference examines the most recent advances in the analysis of continua. The book offers articles on the contributions of Professor...

Introduction to Numerical Geodynamic Modelling
Introduction to Numerical Geodynamic Modelling

Numerical modelling of geodynamic processes was predominantly the domain of high-level mathematicians experienced in numerical and computational techniques. Now, for the first time, students and new researchers in the Earth Sciences can learn the basic theory and applications from a single, accessible reference text. Assuming only minimal...

The Elements of Continuum Biomechanics
The Elements of Continuum Biomechanics

An appealing and engaging introduction to Continuum Mechanics in Biosciences

This book presents the elements of Continuum Mechanics to people interested in applications to biological systems. It is divided into two parts, the first of which introduces the basic concepts within a strictly one-dimensional spatial context. This policy...

Tensors: The Mathematics of Relativity Theory and Continuum Mechanics
Tensors: The Mathematics of Relativity Theory and Continuum Mechanics
This book emerged from courses taught at the University College of Dublin, Carnegie-Mellon University and mostly at Simon Fraser University. This is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra in Chapters 1 and 2. Differential manifold is introduced in Chapter 3. Tensor analysis,...
Finite Element Methods for Engineers
Finite Element Methods for Engineers
The advent of high-speed electronic digital computers has given tremendous impetus to all numerical methods for solving engineering problems. Finite element methods form one of the most versatile classes of such methods, and were originally developed in the field of structural analysis. They are, however, equally applicable to continuum mechanics...
Prehospital Trauma Care
Prehospital Trauma Care

Comprehensive in scope and content, Prehospital Trauma Care (PTC) covers all aspects of emergency medicine-triage assessment and treatment, anesthesia, intensive care, psychiatry, health and military disasters, burns, shock, and surgery.
Written by over 70 distinguished international experts representing Australia, Austria, Belgium,
...

Introduction to the Mathematics of Medical Imaging, Second Edition
Introduction to the Mathematics of Medical Imaging, Second Edition
At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most imaging modalities in...
Partial Differential Equations in Fluid Dynamics
Partial Differential Equations in Fluid Dynamics
This book is concerned with partial differential equations applied to fluids problems in science and engineering. This work is designed for two potential audiences. First, this book can function as a text for a course in mathematical methods in fluid mechanics in non-mathematics departments or in mathematics service courses. The authors have taught...
Nonlinear Partial Differential Equations with Applications (International Series of Numerical Mathematics)
Nonlinear Partial Differential Equations with Applications (International Series of Numerical Mathematics)

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have...

Fat Manifolds and Linear Connections
Fat Manifolds and Linear Connections
The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but also in mathematical and theoretical physics (general relativity, gauge fields, mechanics of continuum media). The now-standard approach to this subject was proposed by Ch. Ehresmann 60 years ago, attracting first mathematicians and...
Mimetic Discretization Methods
Mimetic Discretization Methods

To help solve physical and engineering problems, mimetic or compatible algebraic discretization methods employ discrete constructs to mimic the continuous identities and theorems found in vector calculus. Mimetic Discretization Methods focuses on the recent mimetic discretization method co-developed by the first author. Based...

Computer Models in Biomechanics: From Nano to Macro
Computer Models in Biomechanics: From Nano to Macro

This book contains a collection of papers that were presented at the IUTAM Symposium

on “Computer Models in Biomechanics: From Nano to Macro” held at Stanford University, California, USA, from August 29 to September 2, 2011.

It contains state-of-the-art papers on:

- Protein and Cell...

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