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Nonlinear Data Assimilation
This book contains two review articles on nonlinear data assimilation that deal with closely related topics but were written and can be read independently. Both contributions focus on so-called particle filters. The first contribution by Jan van Leeuwen focuses on the potential of proposal densities. It discusses the issues with present-day particle filters and explorers new ideas for proposal…
- Edition
- 1
- ISBN/ISSN
- 2364-4532
- Collation
- XII, 118
- Series Title
- Frontiers in Applied Dynamical Systems: Reviews and Tutorials
- Call Number
- -
The Kadison-Singer Property
This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space H and an abelian unital C*-subalgebra A of B(H), does every pure state on A extend uniquely to a pure state on B(H)? This question has deep connections to fundamental aspects…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-47702-2
- Collation
- X, 140
- Series Title
- SpringerBriefs in Mathematical Physics
- Call Number
- -
Analytic Methods in Interdisciplinary Applications
The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well as applications to biomathematics, queueing mo…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-12148-2
- Collation
- X, 181
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- 515.3 ANA a
The Functional Analysis of Quantum Information Theory
This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers o…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-16718-3
- Collation
- -
- Series Title
- Lecture Notes in Physics
- Call Number
- -
An Introduction to Tensors and Group Theory for Physicists
The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics. Both intuitive and rigorous, it aims to demystify tensors by giving the slightly more abstract but conceptually much clearer definition found in the math literature, and then connects this formulation to the component formalism of physics…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-14794-9
- Collation
- XVI, 305
- Series Title
- -
- Call Number
- 530.1 JEE i
Noether's Theorems:Applications in Mechanics and Field Theory
The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very g…
- Edition
- 1
- ISBN/ISSN
- 978-94-6239-170-3
- Collation
- XVII, 297
- Series Title
- Atlantis Studies in Variational Geometry
- Call Number
- -
Niels Bohr, 1913-2013
This fourteenth volume in the Poincaré Seminar Series is devoted to Niels Bohr, his foundational contributions to understanding atomic structure and quantum theory and their continuing importance today. This book contains the following chapters: - Tomas Bohr, Keeping Things Open; - Olivier Darrigol, Bohr's Trilogy of 1913; -John Heilbron, The Mind that Created the Bohr Atom; - Serge Haroche & …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-14315-6
- Collation
- XIII, 221
- Series Title
- Progress in Mathematical Physics
- Call Number
- -
Asymptotic Expansion of a Partition Function Related to the Sinh-model
This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greate…
- Edition
- -
- ISBN/ISSN
- 978-3-319-33379-3
- Collation
- -
- Series Title
- -
- Call Number
- -
An Algebraic Geometric Approach to Separation of Variables
Konrad Schöbel aims to lay the foundations for a consequent algebraic geometric treatment of variable Separation, which is one of the oldest and most powerful methods to construct exact solutions for the fundamental equations in classical and quantum physics. The present work reveals a surprising algebraic geometric structure behind the famous list of separation coordinates, bringing together …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-658-11408-4
- Collation
- XII, 138
- Series Title
- -
- Call Number
- 516 SCH a
The Monge-Ampère Equation
Now in its second edition, this monograph explores the Monge-Ampère equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspects of this theory are stressed using techniques from harmonic analysis, such as covering lemmas …
- Edition
- -
- ISBN/ISSN
- 978-3-319-43374-5
- Collation
- XIV, 216
- Series Title
- Progress in Nonlinear Differential Equations and Their Applications
- Call Number
- -
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