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Methods of Applied Mathematics with a Software Overview
This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of p…
- Edition
- 2
- ISBN/ISSN
- 978-3-319-43369-1
- Collation
- XVII, 781
- Series Title
- Applied and Numerical Harmonic Analysis
- Call Number
- -
Transport and Fluctuations in Granular Fluids
This brief offers a concise presentation of granular fluids from the point of view of non-equilibrium statistical physics. The emphasis is on fluctuations, which can be large in granular fluids due to the small system size (the number of grains is many orders of magnitude smaller than in molecular fluids). Firstly, readers will be introduced to the most intriguing experiments on fluidized gra…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-10286-3
- Collation
- XVI, 118
- Series Title
- SpringerBriefs in Physics
- Call Number
- -
Global Aspects of Classical Integrable Systems
This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in th…
- Edition
- -
- ISBN/ISSN
- 978-3-0348-0917-7
- Collation
- XVIII, 477
- Series Title
- -
- Call Number
- 004 CUS g
Synergetics and Fractals in Tribology
This book examines the theoretical and practical aspects of tribological process using synergy, fractal and multifractal methods, and the fractal and multifractal models of self-similar tribosystems developed on their basis. It provides a comprehensive analysis of their effectiveness, and also considers the method of flicker noise spectroscopy with detailed parameterization of surface roughness…
- Edition
- -
- ISBN/ISSN
- 978-3-319-28189-6
- Collation
- XII, 381
- Series Title
- Materials Forming, Machining and Tribology
- Call Number
- -
Isogeometric Analysis and Applications 2014
Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools. It thus bridges the gap between numerical analysis and geometry, and moreover it allows to tackle new cutting edge applications at the frontiers of research in science and engineering. This proceedings volume co…
- Edition
- -
- ISBN/ISSN
- 978-3-319-23315-4
- Collation
- -
- Series Title
- -
- Call Number
- -
Tracking and Mapping of Spatiotemporal Quantities Using Unicellular Swarm Int…
The book discusses new algorithms capable of searching for, tracking, mapping and providing a visualization of invisible substances. It reports on the realization of a bacterium-inspired robotic controller that can be used by an agent to search for any environmental spatial function such as temperature or pollution. Using the parameters of a mathematical model, the book shows that it is possibl…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27425-6
- Collation
- X, 194
- Series Title
- Biosystems & Biorobotics
- Call Number
- -
Error Estimates for Well-Balanced Schemes on Simple Balance Laws One-Dimensi…
This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-depen…
- Edition
- -
- ISBN/ISSN
- 978-3-319-24785-4
- Collation
- 9 b/w illustrations, 15 illustrations in colour
- Series Title
- -
- Call Number
- -
Inverse Problems: Basics, Theory and Applications in Geophysics
The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as vectors is needed. Function spaces are introduced informally in the course of the text, when needed…
- Edition
- -
- ISBN/ISSN
- 978-3-319-48384-9
- Collation
- -
- Series Title
- -
- Call Number
- -
Introduction to Uncertainty Quantification
This text provides a framework in which the main objectives of the field of uncertainty quantification (UQ) are defined and an overview of the range of mathematical methods by which they can be achieved. Complete with exercises throughout, the book will equip readers with both theoretical understanding and practical experience of the key mathematical and algorithmic tools underlying the treatme…
- Edition
- -
- ISBN/ISSN
- 978-3-319-23395-6
- Collation
- -
- Series Title
- -
- Call Number
- -
Equilibrium Statistical Mechanics of Lattice Models
Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics…
- Edition
- -
- ISBN/ISSN
- 978-94-017-9430-5
- Collation
- 101 b/w illustrations
- Series Title
- -
- Call Number
- -
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