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Nonlinear Dynamics in Biological Systems
This book presents recent research results relating to applications of nonlinear dynamics, focusing specifically on four topics of wide interest: heart dynamics, DNA/RNA, cell mobility, and proteins. The book derives from the First BCAM Workshop on Nonlinear Dynamics in Biological Systems, held in June 2014 at the Basque Center of Applied Mathematics (BCAM). At this international meeting, resea…
- Edition
- 1
- ISBN/ISSN
- Jorge Carballido-Landeira
- Collation
- VII, 128
- Series Title
- SEMA SIMAI Springer Series
- Call Number
- -
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
- -
Non-commuting Variations in Mathematics and Physics:A Survey
This text presents and studies the method of so –called noncommuting variations in Variational Calculus. This method was pioneered by Vito Volterra who noticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanics and suggested to modify the basic rule used in Variational Calculus. This book presents a survey of Variational Calculus with no…
- Edition
- 1
- ISBN/ISSN
- 1860-6245
- Collation
- XIV, 235
- Series Title
- Interaction of Mechanics and Mathematics
- 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
- -
The Real and the Complex: A History of Analysis in the 19th Century
This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subjects, in keeping with how they were seen at the time. It is suitable as a course in the history of mathematics for students who have studied an introductory course in analysis, and will enrich any course in undergraduate real or complex analysis.
- Edition
- -
- ISBN/ISSN
- 978-3-319-23715-2
- Collation
- XVI, 350
- Series Title
- Springer Undergraduate Mathematics Series
- Call Number
- -
The Harary Index of a Graph
This is the first book to focus on the topological index, the Harary index, of a graph, including its mathematical properties, chemical applications and some related and attractive open problems. This book is dedicated to Professor Frank Harary (1921—2005), the grandmaster of graph theory and its applications. It has be written by experts in the field of graph theory and its applications. For…
- Edition
- 1
- ISBN/ISSN
- 978-3-662-45843-3
- Collation
- XV, 74, 35 b/w illustrations
- Series Title
- SpringerBriefs in Applied Sciences and Technology
- 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
Analysis of Single-Cell Data: ODE Constrained Mixture Modeling and Approximat…
Carolin Loos introduces two novel approaches for the analysis of single-cell data. Both approaches can be used to study cellular heterogeneity and therefore advance a holistic understanding of biological processes. The first method, ODE constrained mixture modeling, enables the identification of subpopulation structures and sources of variability in single-cell snapshot data. The second method …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-658-13234-7
- Collation
- XXI, 92
- Series Title
- BestMasters
- Call Number
- 515.6 LOO a
Analysis and Modeling of Coordinated Multi-neuronal Activity
Since information in the brain is processed by the exchange of spikes among neurons, a study of such group dynamics is extremely important in understanding hippocampus dependent memory. These spike patterns and local field potentials (LFPs) have been analyzed by various statistical methods. These studies have led to important findings of memory information processing. For example, memory-trace …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-1-4939-1969-7
- Collation
- X, 354
- Series Title
- Springer Series in Computational Neuroscience
- Call Number
- 616.80076 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
- -
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