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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
Eulerian Numbers
This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics. The book first studies Eulerian numbers from a purely combinatorial point of view, then embarks on a tour of how these numbers arise in the study of hyperplane arrangements, polytopes, and simplicial complexes. Some topics include a thorough discussion of gamma-nonnegativity and…
- Edition
- -
- ISBN/ISSN
- 978-1-4939-3091-3
- Collation
- 74 b/w illustrations, 4 illustrations in colour
- Series Title
- -
- Call Number
- -
Euclidean Geometry and its Subgeometries
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isom…
- Edition
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- ISBN/ISSN
- 978-3-319-23775-6
- Collation
- 59 b/w illustrations
- Series Title
- -
- 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
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- ISBN/ISSN
- 978-3-319-23315-4
- Collation
- -
- Series Title
- -
- Call Number
- -
Geometry, Algebra and Applications: From Mechanics to Cryptography
This volume collects contributions written by different experts in honor of Prof. Jaime Muñoz Masqué. It covers a wide variety of research topics, from differential geometry to algebra, but particularly focuses on the geometric formulation of variational calculus; geometric mechanics and field theories; symmetries and conservation laws of differential equations, and pseudo-Riemannian geometry…
- Edition
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- ISBN/ISSN
- 978-3-319-32084-7
- Collation
- XII, 198
- Series Title
- -
- Call Number
- 516 GEO
Geometry from Dynamics, Classical and Quantum
This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of th…
- Edition
- -
- ISBN/ISSN
- 978-94-017-9219-6
- Collation
- -
- Series Title
- -
- Call Number
- 510
Essential Partial Differential Equations Analytical and Computational Aspects
This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and …
- Edition
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- ISBN/ISSN
- 978-3-319-22569-2
- Collation
- 105 b/w illustrations, 1 illustrations in colour
- Series Title
- -
- Call Number
- -
Essential Knowledge for Transistor-Level LSI Circuit Design
This book is a collection of the miscellaneous knowledge essential for transistor-level LSI circuit design, summarized as the issues that need to be considered in each design step. To design an LSI that actually functions and to be able to properly measure it, an extremely large amount of diverse, detailed knowledge is necessary. Even though one may read a textbook about an op-amp, for example,…
- Edition
- -
- ISBN/ISSN
- 978-981-10-0424-7
- Collation
- Springer Science+Business Media Singapore
- Series Title
- -
- Call Number
- -
Trajectory Anomalies in Interplanetary Spacecraft
This thesis presents fundamental work that explains two mysteries concerning the trajectory of interplanetary spacecraft. For the first problem, the so-called Pioneer anomaly, a wholly new and innovative method was developed for computing all contributions to the acceleration due to onboard thermal sources. Through a careful analysis of all parts of the spacecraft Pioneer 10 and 11, the applica…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-18980-2
- Collation
- XVII, 87
- Series Title
- Springer Theses
- 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
- -
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