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Call number: | 9783319520452:ONLINE Show nearby items on shelf |
Title: | Information Geometry and Population Genetics The Mathematical Structure of the Wright-Fisher Model |
Author(s): |
Julian Hofrichter |
Date: | 2017 |
Size: | 1 online resource (XII, 320 p. 3 illus., 2 illus. in color p.) |
Contents: | 1. Introduction -- 2. The Wright–Fisher model -- 3. Geometric structures and information geometry -- 4. Continuous approximations -- 5. Recombination -- 6. Moment generating and free energy functionals -- 7. Large deviation theory -- |
8. The forward equation -- 9. The backward equation -- 10.Applications -- Appendix -- A. Hypergeometric functions and their generalizations -- Bibliography | |
ISBN: | 9783319520452 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Human genetics , Mathematical analysis , Analysis (Mathematics) , Geometry , Probabilities , Biomathematics , Statistics , Mathematics , Mathematical and Computational Biology , Statistical Theory and Methods , Human Genetics , Analysis , Geometry , Probability Theory and Stochastic Processes |
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Call number: | 9783319444185:ONLINE Show nearby items on shelf |
Title: | Space, Time and the Limits of Human Understanding |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (XXIII, 530 p. 51 illus p.) |
Contents: | Philosophy: Śrīharṣa on the Indefinability of Time by Jonathan Duquette and Krishnamurti Ramasubramanian -- Why Spacetime Has a Life of its Own by James Robert Brown -- From Time to Time by Nathan Salmon -- Relativity Theory may not |
have the last Word on the Nature of Time: Quantum Theory and Probabilism by Nicholas Maxwell -- Space as a Source and as an Object of Knowledge: The Transformation of the Concept of Space in the Post-Kantian Philosophy of Geometry by | |
Francesca Biagioli -- Space, Time and (how they) Matter by Valia Allori -- The Phenomenology of Space and Time: Husserl, Sartre, Derrida by Hans Herlof Grelland -- Time and Space in Ancient India, Pre-Philosophical Period by Michael | |
Witzel and Nataliya Yanchevskaya -- Time in Physics and Time in Awareness by E. C. G. Sudarshan -- Physics: The Future’s Not Ours to See, by Tony Sudbury -- Nature’s Book Keeping System by Gerard ‘t Hooft -- An anomaly in space and | |
time and the origin of dynamics by Joan A. Vaccaro -- Spacetime and Reality: Facing the Ultimate Judge by Vesselin Petkov -- Hermann Weyl’s Space-Time Geometry and its Impact on Theories of Fundamental Interactions by Norbert Straumann | |
-- Space, Time, and Adynamical Explanation in the Relational Blockworld by W.M. Stuckey, Michael Silberstein, and Timothy McDevitt -- Matter, Space, Time, and Motion: A Unified Gravitational Perspective by C. S. Unnikrishnan -- | |
Spacetime is Doomed by George Musser -- Mathematics: Geometry and Physical Space by Mary Leng -- The Geometry of Manifolds and the Perception of Space by Raymond O. Wells, Jr -- Topos Theoretic Approach to Space and Time by Goro C. | |
Kato -- Paradox? The Mathematics of Space-Time and the Limits of Human Understanding by Paul Ernest -- General Relativity, Time, and Determinism by James Isenberg -- “Now” has an infinitesimal positive duration by Reuben Hersh -- The | |
Fundamental Problem of Dynamics by Julian Barbour -- What’s wrong with the Platonic ideal of space and time? by Lorenzo Sadun -- Biology/Cognitive Science: Syntactic Space by Rajesh Kasturirangan -- Time measurement in living systems: | |
Human understanding and health implications by L Abhilash and Vijay Kumar Sharma -- The cellular space-the space of life by Pier Luigi Luisi -- The consciousness of space, the space of consciousness by Mauro Bergonzi and Pier Luigi | |
Luisi -- Time and Suffering (False metaphors, (de)synchronous times, and internal dynamics) by Norman Sieroka -- Evolutionary Time and the Creation of the Space of Life by Randall E. Auxier -- Computer Science: A computational | |
mathematics view of space, time and complexity by David H. Bailey and Jonathan M. Borwein -- The Black Hole in Mathematics by A. K. Dewdney -- Gödel’s Ontological Dreams by Gary Mar -- ‘Photographing the Footsteps of Time’: Space and | |
Time in Charles Babbage’s Calculating Engines by Doron Swade -- Gödel incompleteness and the empirical sciences by N. C. A. da Costa and F. A. Doria -- Miscellaneous: The Novel and the Map: Spatiotemporal Form and Discourse in Literary | |
Cartography by Robert T. Tally Jr -- Time, Space, and the Human Geographies of Opportunity by Donald G. Janelle -- Losing Time and Space: Experiencing Immersion by Diana J. Reichenbach. < | |
ISBN: | 9783319444185 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Epistemology , Metaphysics , Gravitation , Cosmology , Physics , Classical and Quantum Gravitation, Relativity Theory , Epistemology , History and Philosophical Foundations of Physics , Cosmology , Metaphysics |
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Call number: | 0470505192:ONLINE Show nearby items on shelf |
Title: | Algorithms in Computational Molecular Biology: Techniques, Approaches and Applications |
Author(s): |
Elloumi |
Date: | 2011 |
Publisher: | Wiley |
Size: | 1 online resource (1081 p.) |
ISBN: | 9780470505199 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mathematics |
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Call number: | SPRINGER-2016-9783658132347:ONLINE Show nearby items on shelf |
Title: | Analysis of Single-Cell Data ODE Constrained Mixture Modeling and Approximate Bayesian Computation |
Author(s): |
Carolin Loos |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (92 p.) |
Note: | 10.1007/978-3-658-13234-7 |
Contents: | Modeling and Parameter Estimation for Single-Cell Data -- ODE Constrained Mixture Modeling for Multivariate Data -- Approximate Bayesian Computation Using Multivariate Statistics |
ISBN: | 9783658132347 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Bioinformatics , Computational biology , Computer mathematics , Biomathematics , Mathematics , Mathematical and Computational Biology , Computational Mathematics and Numerical Analysis , Computer Appl. in Life Sciences |
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Call number: | SPRINGER-2016-9783319320434:ONLINE Show nearby items on shelf |
Title: | The Mathematics Behind Biological Invasions |
Author(s): |
Mark A Lewis |
Date: | 2016 |
Size: | 1 online resource (19 p.) |
Note: | 10.1007/978-3-319-32043-4 |
Contents: | Introduction.-Dynamics of Biological Invasions.-Reaction-Diffusion Models: Single Species -- Invasion in a Multispecies System -- Long-Distance Dispersal and Spread -- A User’s Guide to Integrodifference Models for Invasive Spread -- Stochasticit y and Invasion Dynamics -- Stochastic Spread -- Assessing Invasion Risk -- Responding to invasions: Detection, control, and adaptation -- Appendix.-References.-Index |
ISBN: | 9783319320434 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 44 |
Keywords: | Mathematics , Dynamics , Ergodic theory , Partial differential equations , Biomathematics , Statistics , Mathematics , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences , Genetics and Population Dynamics , Dynamical Systems and Ergodic Theory , Partial Differential Equations |
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Call number: | SPRINGER-2016-9783319303284:ONLINE Show nearby items on shelf |
Title: | Probabilistic Models of Population Evolution Scaling Limits, Genealogies and Interactions |
Author(s): |
Étienne Pardoux |
Date: | 2016 |
Size: | 1 online resource (2 p.) |
Note: | 10.1007/978-3-319-30328-4 |
Contents: | Introduction -- Branching Processes -- Convergence to a Continuous State Branching Process -- Continuous State Branching Process (CSBP) -- Genealogies -- Models of Finite Population with Interaction -- Convergence to a Continuous State Model -- Con tinuous Model with Interaction -- Appendix |
ISBN: | 9783319303284 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematical Biosciences Institute Lecture Series : 1.6 |
Keywords: | Mathematics , Ecology , Probabilities , Biomathematics , Mathematics , Mathematical and Computational Biology , Probability Theory and Stochastic Processes , Theoretical Ecology/Statistics |
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Call number: | SPRINGER-2016-9783319296470:ONLINE Show nearby items on shelf |
Title: | Models of Calcium Signalling |
Author(s): |
Geneviève Dupont |
Date: | 2016 |
Size: | 1 online resource (38 p.) |
Note: | 10.1007/978-3-319-29647-0 |
Contents: | Some Background Physiology -- The Calcium Toolbox -- Basic Modeling Principles: Deterministic Models -- Hierarchical and Stochastic Modeling -- Nonlinear Dynamics of Calcium -- Nonexcitable Cells -- Muscle -- Neurons and Other Excitable Cells |
ISBN: | 9783319296470 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 43 |
Keywords: | Mathematics , Neurosciences , Biomathematics , Systems biology , Biological systems , Mathematics , Mathematical and Computational Biology , Biological Networks, Systems Biology , Neurosciences |
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Call number: | SPRINGER-2016-9783319296388:ONLINE Show nearby items on shelf |
Title: | Introduction to Mathematical Biology Modeling, Analysis, and Simulations |
Author(s): |
Ching Shan Chou |
Date: | 2016 |
Size: | 1 online resource (38 p.) |
Note: | 10.1007/978-3-319-29638-8 |
Contents: | Introduction -- Bacterial Growth in Chemostat -- System of Two Linear Differential Equations -- System of Two Differential Equations -- Predator-Prey Models -- Two Competing Populations -- General Systems of Differential Equations -- The Chemostat Model Revisited -- Spread of Disease -- Enzyme Dynamics -- Bifurcation Theory -- Atherosclerosis: The Risk of High Cholesterol -- Cancer-Immune Interaction. Cancer Therapy -- Tuberculosis -- Solutions |
ISBN: | 9783319296388 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical physics , Biomathematics , Systems biology , Biological systems , Mathematics , Mathematical and Computational Biology , Mathematical Applications in the Physical Sciences , Biological Networks, Systems Biology |
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Call number: | SPRINGER-2016-9783319288932:ONLINE Show nearby items on shelf |
Title: | Data-driven Modelling of Structured Populations A Practical Guide to the Integral Projection Model |
Author(s): |
Stephen P Ellner |
Date: | 2016 |
Size: | 1 online resource (29 p.) |
Note: | 10.1007/978-3-319-28893-2 |
Contents: | Introduction -- Simple Deterministic IPM -- Basic Analysis 1: Demographic Measures and Events in the Life Cycle -- Basic Analysis 2: Prospective Perturbation Analysis -- Density Dependence -- General Deterministic IPM -- Environmental Stochasticity -- Spatial Models -- Evolutionary Demography -- Future Directions and Advanced Topics |
ISBN: | 9783319288932 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Bioinformatics , Computational biology , Biomathematics , Mathematics , Mathematical and Computational Biology , Computer Appl. in Life Sciences |
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Call number: | SPRINGER-2016-9783319285887:ONLINE Show nearby items on shelf |
Title: | Computational Diffusion MRI MICCAI Workshop, Munich, Germany, October 9th, 2015 |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (63 p.) |
Note: | 10.1007/978-3-319-28588-7 |
Contents: | An Efficient Finite Element Solution of the Generalised Bloch-Torrey Equation for Arbitrary Domains: L. Beltrachini et al -- Super-Resolution Reconstruction of Diffusion-Weighted Images using 4D Low-Rank and Total Variation: Feng Shi et al -- Holist ic Image Reconstruction for Diffusion MRI: V. Golkov et al -- Alzheimer’s Disease Classification with Novel Microstructural Metrics from Diffusion-Weighted MRI: T. M. Nir et al -- Brain Tissue Micro-Structure Imaging from Diffusion MRI Using Least Squar es Variable Separation: H. Farooq et al -- Multi-Tensor MAPMRI: How to Estimate Microstructural Information from Crossing Fibers: M. Zucchelli et al -- On the Use of Antipodal Optimal Dimensionality Sampling Scheme on the Sphere for Recovering Intra-Voxel Fibre Structure in Diffusion MRI: A.P. Bates et al -- Estimation of Fiber Orientations Using Neighborhood Information: C. Ye et al -- A framework for creating population specific multimodal brain atlas using clinical T1 and diffusion tensor |
images: V. Gupta et al -- Alignment of Tractograms as Linear Assignment Problem: N. Sharmin -- Accelerating Global Tractography Using Parallel Markov Chain Monte Carlo: H. Wu et al -- Adaptive Enhancement in Diffusion MRI Through Propagator Sharpeni ng: T. Dela Haije et al -- Angular Resolution Enhancement of Diffusion MRI Data Using Inter-Image Information Transfer: Geng Chen et al -- Crossing versus Fanning: Model Comparison Using HCP Data: A. Ghosh et al -- White Matter Fiber Set Simplification by Redundancy Reduction with Minimum Anatomical Information Loss: G. Zimmerman Moreno et al -- A Temperature Phantom to Probe the Ensemble Average Propagator Asymmetry: an In-Silico Study: M. Pizzolato et al -- Registration Strategies for Whole-Body Diffusi on-Weighted MRI Stitching: J. Ceranka et al -- HARDI Feature Selection, Registration and Atlas Building for A$\beta$ Pathology Classification: E. Schwab et al -- Reliability of Structural Connectivity Examined with Four Different Diffusion | |
Reconstruction Methods at Two Different Spatial and Angular Resolutions: J. E. Villalon-Reina et al | |
ISBN: | 9783319285887 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer simulation , Image processing , Bioinformatics , Computer mathematics , Visualization , Statistics , Mathematics , Visualization , Computational Biology/Bioinformatics , Computational Science and Engineering , Simulation and Modeling , Image Processing and Computer Vision , Statistics for Life Sciences, Medicine, Health Sciences |
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Call number: | SPRINGER-2016-9783319280615:ONLINE Show nearby items on shelf |
Title: | Applied Impulsive Mathematical Models |
Author(s): |
Ivanka Stamova |
Date: | 2016 |
Size: | 1 online resource (318 p.) |
Note: | 10.1007/978-3-319-28061-5 |
Contents: | Introduction.-Basic Theory -- Impulsive Biological Models -- Impulsive Models in Population Dynamics -- Impulsive Neural Networks -- Impulsive Models in Economics -- References -- Index |
ISBN: | 9783319280615 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Economics, Mathematical , System theory , Statistical physics , Mathematics , Systems Theory, Control , Nonlinear Dynamics , Mathematical Biology in General , Quantitative Finance |
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Call number: | SPRINGER-2016-9783319270814:ONLINE Show nearby items on shelf |
Title: | Scientific Models Red Atoms, White Lies and Black Boxes in a Yellow Book |
Author(s): |
Philip Gerlee |
Date: | 2016 |
Size: | 1 online resource (8 p.) |
Note: | 10.1007/978-3-319-27081-4 |
Contents: | Prologue -- History.- Structure, Relation and Use -- Interviews.- Worked Examples -- Epilogue -- Further Reading |
ISBN: | 9783319270814 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematics , Mathematical models , Biomathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Mathematical and Computational Biology , Philosophy of Mathematics |
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Call number: | SPRINGER-2016-9783319266411:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems on Networks A Tutorial |
Author(s): |
Mason Porter |
Date: | 2016 |
Size: | 1 online resource (80 p.) |
Note: | 10.1007/978-3-319-26641-1 |
Contents: | Introduction: How Does Nontrivial Network Connectivity Affect Dynamical Processes on Networks -- A Few Basic Concepts -- Examples of Dynamical Systems -- General Considerations -- Software Implementation -- Dynamical Systems on Dynamical Networks - - Other Resources -- Conclusion, Outlook, and Open Problems -- Appendix |
ISBN: | 9783319266411 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Frontiers in Applied Dynamical Systems: Reviews and Tutorials: 4 |
Keywords: | Mathematics , Systems biology , Dynamics , Ergodic theory , Biological systems , Physics , Mathematics , Dynamical Systems and Ergodic Theory , Complex Networks , Biological Networks, Systems Biology , Systems Biology |
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Call number: | SPRINGER-2014-9788132218951:ONLINE Show nearby items on shelf |
Title: | Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics [electronic resource] |
Author(s): |
Seshadev Padhi John R Graef P. D. N Srinivasu |
Date: | 2014 |
Publisher: | New Delhi : Springer India : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations. It demonstrates how the Leggett-Williams fixed-point theorem can be applied tostudy the existence of tw o or three positive periodic solutions of functional differential equations with real-world applications, particularly with regard to the Lasota-Wazewska model, the Hematopoiesis model, the Nicholsons Blowfliesmodel, and some models with Allee effects. Ma ny interesting sufficient conditions are given for the dynamics that include nonlinear characteristics exhibited by population models. The last chapter provides results related to the globalappeal of solutions to the models considered in the earlier chapt ers. The techniques used in this book can be easily understood by anyone with a basic knowledge of analysis. This book offers a valuable reference guide for students andresearchers in the field of differential equations with applications to biology, ecolo gy, and the environment |
Contents: | Chapter 1. Introduction |
Chapter 2. Positive Periodic Solutions of Nonlinear Functional Differential Equations with Parameter | |
Chapter 3. Multiple Periodic Solutions of a System of Functional Differential Equations | |
Chapter 4. Multiple Periodic Solutions of Nonlinear Functional Differential Equations | |
Chapter 5. Asymptotic Behavior of Periodic Solutions of Differential Equations of First Order | |
Bibliography | |
ISBN: | 9788132218951 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Integral equations , Differential Equations |
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Call number: | SPRINGER-2014-9783662441404:ONLINE Show nearby items on shelf |
Title: | Theory and Applications of Difference Equations and Discrete Dynamical Systems [electronic resource] : ICDEA, Muscat, Oman, May 26 - 30, 2013 |
Author(s): |
Ziyad AlSharawi Jim M Cushing Saber Elaydi |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices inthe theory and appli cations of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete time dynamical systems with applications to mathematical sciences and, in particular,mathematical biology, ecology, and epidemi ology. It includes four invited papers and eight contributed papers. Topics covered include: competitive exclusion through discrete time models, Benford solutions of linear differenceequations, chaos and wild chaos in Lorenz-type systems, advances in peri odic difference equations, the periodic decomposition problem, dynamic selection systems and replicator equations, and asymptotic equivalence of differenceequations in Banach Space. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete time dynamical systems and their applications. |
Contents: | Papers by Invited Speakers: Competitive exclusion through discrete time models: Azmy S. Ackleh and Paul L. Salceanu |
Benford solutions of linear difference equations: Arno Berger and Gideon Eshun | |
Harvesting and dynamics in some one | |
dimensional population models: Eduardo Liz and Frank M. Hilker | |
Chaos and wild chaos in Lorenz | |
type systems: Hinke M. Osinga, Bernd Krauskopf and Stefanie Hittmeyer | |
Contributed Papers: Almost automorphic sequences and their application to a model of cellular neural network: Syed Abbas | |
Advances in periodic difference equations with open problems: Ziyad A | |
ISBN: | 9783662441404 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v102 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Differentiable dynamical systems , Genetics Mathematics |
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Call number: | SPRINGER-2014-9783662437391:ONLINE Show nearby items on shelf |
Title: | Explosive Percolation in Random Networks [electronic resource] |
Author(s): |
Wei Chen |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered tobe robust continuous p hase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiplephase transitions, and unstable giant component s are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology |
Contents: | Introduction |
Discontinuous Explosive Percolation with Multiple Giant Components | |
Deriving An Underlying Mechanism for Discontinuous Percolation Transitions | |
Continuous Phase Transitions in Supercritical Explosive Percolation | |
Unstable Supercritical Discontinuous Percolation Transitions | |
Algorithm of percolation models | |
ISBN: | 9783662437391 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Numerical analysis , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783642549595:ONLINE Show nearby items on shelf |
Title: | A Primer on Scientific Programming with Python [electronic resource] |
Author(s): |
Hans Petter Langtangen |
Date: | 2014 |
Edition: | 4th ed. 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics,numerical calculus, st atistics, physics, biology and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageousto study classical and numerical one-variable c alculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of scienceand engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objectsand functions and embracing the object-oriented paradigm. Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python on the streets could be alittle jealous of students who have the opportunity to take a course out of Langtangens Primer. John D. Cook, The Mathematical Association of Am erica, September 2011 This book goes through Python in particular, and programmingin general, via tasks that scientists will likely perform. It contains valuable informationfor students new to scientific computing and would be the perfect bridge between a n introduction to programming and an advanced course onnumerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March/April 2012 |
Contents: | Preface |
Computing with Formulas | |
Loops and Lists | |
Functions and Branching | |
User Input and Error Handling | |
Array Computing and Curve Plotting | |
Dictionaries and Strings | |
Introduction to Classes | |
Random Numbers and Simple Games | |
Object | |
Oriented Programming | |
Sequences and Difference Equations | |
Introduction to Discrete Calculus | |
Introduction to Differential Equations | |
A Complete Differential Equation Project | |
Programming of Differential Equations | |
Debugging | |
Migrating Python to Compiled Code | |
Technical Topics | |
Bibliography | |
Index | |
ISBN: | 9783642549595 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Computer science |
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Call number: | SPRINGER-2014-9783642546167:ONLINE Show nearby items on shelf |
Title: | Modles et mthodes stochastiques [electronic resource] : Une introduction avec applications |
Author(s): |
Pierre Del Moral Christelle Verg |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | La thorie des probabilits et des processus stochastiques est sans aucun doute l'un des plus importants outils mathmatiques des sciences modernes. Le thorie des probabilit s'illustre dans de nombreux domaines issus de labiologie, de la physique, et de s sciences de l'ingnieur : dynamique des populations, traitement du signal et de l'image, chimie molculaire, conomtrie, sciences actuarielles, mathmatiques financires, ainsi qu'en analyse derisque. Le but de cet ouvrage est de parcourir les principaux mod les et mthodes stochastiques de cette thorie en pleine expansion. Ce voyage ne ncessite aucun bagage spcifique sur la thorie des processus stochastiques. Lesoutils d'analyses ncessaires une bonne comprhension sont donns au fur et mesure de leur construc tion, rvlant ainsi leur ncessit. La thorie des processus stochastiques est une extension naturelle de la thorie desystmes dynamiques des phnomnes alatoires. Elle contient des formalisation d'volutions de phnomnes alatoires rencontrs en physique, en biolo gique, en conomie, ou en sciences de l'ingnieur, mais aussi desalgorithmes d'exploration stochastique d'espaces de solutions complexes pour rsoudre des problmes d'estimation, d'optimisation et d'apprentissage statistique. Des techniques de rsolution avanc es en statistique baysienne, entraitement du signal, en analyse dvnements rares, en combinatoire numrative, en optimisation combinatoire, ainsi qu'en physique et chimie quantique sont exposes dans cet ouvrage. Stochastic Models andMethods Probabilitytheor y and stochastic process theory are undoubtedly among the most important mathematic tools for the modern sciences. Probability theory has applications in several fields, such as biology, physics and the engineering sciences:population dynamics, signal and image processing, molecular chemistry, econometrics, actuarial science, financial mathematics, a |
ISBN: | 9783642546167 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathmatiques et Applications, 1154-483X : v75 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algorithms , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783642545931:ONLINE Show nearby items on shelf |
Title: | Neural Fields [electronic resource] : Theory and Applications |
Author(s): |
Stephen Coombes Peter beim Graben Roland Potthast James Wright |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | With this book, the editors present the first comprehensive collection in neural field studies, authored by leading scientists in the field - among them are two of the founding-fathers of neural field theory. Up to now, researchresults in the field h ave been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. Starting with a tutorial for novices in neural field studies, thebook comprises chapters on emergent pattern s, their phase transitions and evolution, on stochastic approaches, cortical development, cognition, robotics and computation, large-scale numerical simulations, the coupling of neural fieldsto the electroencephalogram and phase transitions in anesthesia. The intended readership are students and scientists in applied mathematics, theoretical physics, theoretical biology, and computational neuroscience. Neural field theoryand its applications have a long-standing tradition in the mathematical and computati onal neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan,Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Bressloff, Haken, and Wright. Since then, much progress has been made in both, the development of mathematical andnumerical techniques, and in physiological refinement and understanding. In contrast to large-scale neural network models desc ribed by huge connectivity matrices that are computationally expensive in numerical simulations, neural fieldmodels described by connectivity kernels allow for analytical treatment by means of functional analysis methods. Thus, a number of rigorous result s on the existence of bump and wave solutions or on inverse kernel construction problemsare nowadays available. Moreover, neural fields provide an important interface for the coupling of continuous neur |
Contents: | Preface |
1.Tutorial on Neural Field Theory. S. Coombes, P. beim Graben and R. Potthast | |
Part I Theory of Neural Fields | |
2.A Personal Account of the Development of the Field Theory of Large | |
Scale Brain Activity from 1945 Onward. J. Cowan | |
3.HeavisideWorld: Excitation and Self | |
Organization of Neural Fields. Shun | |
ichi Amari | |
4.Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation. G.B. Ermentrout, S.E. Folias and Z.P. Kilpatrick | |
5.PDE Methods for Two | |
Dimensional Neural Fields. C.R. Laing | |
6.Numerical Simulation Scheme of One | |
and Two Dimensional Neural Fields Inv | |
ISBN: | 9783642545931 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Functional analysis , Integral equations , Consciousness |
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Call number: | SPRINGER-2014-9783642405235:ONLINE Show nearby items on shelf |
Title: | An Introduction to Markov Processes [electronic resource] |
Author(s): |
Daniel W Stroock |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. It should be accessible to students with a solid undergraduate background in mathematics, including studentsfrom engineering, econ omics, physics, and biology. Topics covered are: Doeblin's theory, general ergodic properties, and continuous time processes.Applications are dispersed throughout the book. In addition, a whole chapter isdevoted to reversible processes and the use of thei r associated Dirichlet forms to estimate the rate of convergence to equilibrium. These results are then applied to the analysis of the Metropolis (a.k.a simulated annealing) algorithm.The corrected and enlarged 2nd edition contains a new chapter in which the author develops computational methods for Markov chains on a finite state space. Most intriguing isthe section with a new technique for computing stationarymeasures, which is applied to derivations of Wilson's algorithm and Kirchoff's formula for span ning trees in a connected graph |
Contents: | Preface |
Random Walks, a Good Place to Begin | |
Doeblin's Theory for Markov Chains | |
Stationary Probabilities | |
More about the Ergodic Theory of Markov Chains | |
Markov Processes in Continuous Time | |
Reversible Markov Processes | |
A minimal Introduction to Measure Theory | |
Notation | |
References | |
Index | |
ISBN: | 9783642405235 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Graduate Texts in Mathematics, 0072-5285 : v230 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783642390104:ONLINE Show nearby items on shelf |
Title: | Stochastic Foundations in Movement Ecology [electronic resource] : Anomalous Diffusion, Front Propagation and Random Searches |
Author(s): |
Vicen Mndez Daniel Campos Frederic Bartumeus |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book presents the fundamental theory for non-standard diffusion problems in movement ecology. Lvy processes and anomalous diffusion have shown to be both powerful and useful tools for qualitatively and quantitativelydescribing a wide variety of spatial population ecological phenomena and dynamics, such as invasion fronts and search strategies. Adopting a self-contained, textbook-style approach, the authors provide the elements of statisticalphysics and stochastic processes on which the modeling of movement ecology is based and systematically introduce the physical characterization of ecological processes at the microscopic, mesoscopic and macroscopic levels. The explicitdefinition of these levels and their interrelations is particularly suitable to coping with the broad spectrum of space and time scales involved in bio-ecological problems. Including numerous exercises (with solutions), this text isaimed at graduate students and newcomers in this field at the interface of theoretical ecology, ma thematical biology and physics |
Contents: | Elements of Probability Theory |
Introduction to Stochastic Processes | |
Microscopic, Mesoscopic and Macroscopic Descriptions of Dispersal | |
Continuous | |
Time Random Walks and Anomalous Diffusion | |
Reaction | |
Dispersal Models and Front Propagation | |
Stochastic Optimal Foraging Theory | |
Cell Motion and Chemotaxis | |
Host | |
Pathogen Interactions | |
Biological Invasions | |
Random Search in Model Organisms | |
ISBN: | 9783642390104 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Series in Synergetics, 0172-7389 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Ecology , Genetics Mathematics , Engineering |
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Call number: | SPRINGER-2014-9783319082516:ONLINE Show nearby items on shelf |
Title: | Recent Advances in Delay Differential and Difference Equations [electronic resource] |
Author(s): |
Ferenc Hartung Mihly Pituk |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering, and control theory. In this volume, the participants of the International Conference on Delay Differential andDifference Equations and Applications, Balatonfred, Hungary, July 15-19, 2013 present recent research in this quickly-evolving field. The papers relate to the existence, asymptotic, and oscillatory properties of the solutions |
Contents: | On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity |
Comparison Theorems for Second Order Functional Differential Equations | |
Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems using Transformations | |
Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type | |
Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems | |
Stability Criteria for Delay Differential Equations | |
Anal | |
ISBN: | 9783319082516 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v94 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Differentiable dynamical systems |
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Call number: | SPRINGER-2014-9783319069234:ONLINE Show nearby items on shelf |
Title: | Advances in Applied Mathematics [electronic resource] |
Author(s): |
Ali R Ansari |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This volume contains contributions from the Gulf International Conference in Applied Mathematics, held at the Gulf University for Science & Technology. The proceedings reflects the three major themes of the conference. The firstof these was mathemati cal biology, including a keynote address by Professor Philip Maini. The second theme was computational science/numerical analysis, including a keynote address by Professor Grigorii Shishkin. The conference alsoaddressed more general applications topics, w ith papers in business applications, fluid mechanics, optimization, scheduling problems, and engineering applications, as well as a keynote by Professor Ali Nayfeh |
Contents: | Modelling invasive processes in biology |
Modelling oxygen capillary supply to striated muscle tissues | |
Modeling human response to bednet promotion campaigns and its impact on malaria transmission | |
Computational Modelling and Optimal Control of HIV/AIDS Transmission in a Community with Substance Abuse Problem | |
Standard dierence scheme for a singularly perturbed convection | |
diusion equation in the presence of perturbations | |
A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem | |
A parameter uniform numerical method for a bounda | |
ISBN: | 9783319069234 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v87 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Numerical analysis |
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Call number: | SPRINGER-2014-9783319068206:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems with Applications using MATLAB [electronic resource] |
Author(s): |
Stephen Lynch |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applicationsand simulation utilizi ng MATLAB, Simulink, the Image Processing Toolbox, and the Symbolic Math Toolbox, including MuPAD. Features new to the second edition include sections on series solutions ofordinary differential equations, perturbation methods, normal forms, Grbner bas es, and chaos synchronization chapters on image processing and binary oscillator computing hundreds of newillustrations, examples, and exercises with solutions and over eighty up-to-date MATLAB program files and Simulink model files available online. T hese files were voted MATLAB Central Pick of the Week in July2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It w ill appeal to advanced undergraduateand graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and phy sics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamicalsystems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown thatthis method of teaching using MATLAB works well with computer laboratory classes of small sizes. I recommend Dynamical Syst ems with App |
Contents: | Preface |
A Tutorial Introduction to MATLAB | |
Linear Discrete Dynamical Systems | |
Nonlinear Discrete Dynamical Systems | |
Complex Iterative Maps | |
Electromagnetic Waves and Optical Resonators | |
Fractals and Multifractals | |
The Image Processing Toolbox | |
Differential Equations | |
Planar Systems | |
Interacting Species | |
Limit Cycles | |
Hamiltonian Systems, Lyapunov Functions, and Stability | |
Bifurcation Theory | |
Three | |
Dimensional Autonomous Systems and Chaos | |
Poincar Maps and Nonautonomous Systems in the Plane | |
Local and Global Bifurcations | |
The Second Part of Hilbert's Sixte | |
ISBN: | 9783319068206 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Engineering mathematics |
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Call number: | SPRINGER-2014-9783319066899:ONLINE Show nearby items on shelf |
Title: | Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics [electronic resource] |
Author(s): |
Moiss Santilln |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry, and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, thetheories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. Thelast chapters focus on applying mathematical an d physical techniques to study systems such as: gene regulatory networks and ion channels. The target audience of this book are mainly final year undergraduate and graduate students with asolid mathematical background (physicists, mathematicians, and engi neers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interestedin mathematical modeling, and have a working knowledge of calculus, differential equations, and a basic understanding of probability theory |
Contents: | Brief Introduction to Chemical Kinetics |
Brief Introduction to Thermodynamics | |
Different Approaches to Analyzing a Simple Chemical Reaction | |
Molecule Synthesis and Degradation | |
Enzymatic Reactions | |
Receltor | |
Ligand Interaction | |
Cooperativity | |
Gene Expression and Regulation | |
Ion Channel Dynamics and Ion Transport Across Memberanes | |
References | |
Index | |
ISBN: | 9783319066899 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes on Mathematical Modelling in the Life Sciences, 2193-4789 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Chemistry Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319057149:ONLINE Show nearby items on shelf |
Title: | Stochastic Differential Equations, Backward SDEs, Partial Differential Equations [electronic resource] |
Author(s): |
Etienne Pardoux Aurel Rcanu |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This research monograph presents results to researchers in stochastic calculus, forward and backward stochastic differential equations, connections between diffusion processes and second order partial differential equations(PDEs), and financial mathe matics. It pays special attention to the relations between SDEs/BSDEs and second order PDEs under minimal regularity assumptions, and also extends those results to equations with multivalued coefficients. Theauthors present in particular the theory of ref lected SDEs in the above mentioned framework and include exercises at the end of each chapter. Stochastic calculus and stochastic differential equations (SDEs) were first introduced by K.It in the 1940s, in order to construct the path of diffusion process es (which are continuous time Markov processes with continuous trajectories taking their values in a finite dimensional vector space or manifold), which had beenstudied from a more analytic point of view by Kolmogorov in the 1930s. Since then, this topic has become an important subject of Mathematics and Applied Mathematics, because of its mathematical richness and its importance forapplications in many areas of Physics, Biology, Economics and Finance, where random processes play an increasingly important role. One important aspect is the connection between diffusion processes and linear partial differentialequations of second order, which is in particular the basis for Monte Carlo numerical methods for linear PDEs. Since the pioneering work of Peng and P ardoux in the early 1990s, a new type of SDEs called backward stochastic differentialequations (BSDEs) has emerged. The two main reasons why this new class of equations is important are the connection between BSDEs and semilinear PDEs, and the fact that B SDEs constitute a natural generalization of the famous Black andScholes model from Mathematical Finance, and thus offer a natural mathematical framework for the formulation of many new models in Finan |
Contents: | Introduction |
Background of Stochastic Analysis | |
Itos Stochastic Calculus | |
Stochastic Differential Equations | |
SDE with Multivalued Drift | |
Backward SDE | |
Annexes | |
Bibliography | |
Index | |
ISBN: | 9783319057149 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Stochastic Modelling and Applied Probability, 0172-4568 : v69 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319022918:ONLINE Show nearby items on shelf |
Title: | Discrete Dynamical Models [electronic resource] |
Author(s): |
Ernesto Salinelli Franco Tomarelli |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides an introduction to the analysis of discrete dynamical systems. The content is presented by an unitary approach that blends the perspective of mathematical modeling together with the ones of several disciplineas Mathematical Analysi s, Linear Algebra, Numerical Analysis, Systems Theory and Probability. After a preliminary discussion of several models, the main tools for the study of linear and non-linear scalar dynamical systems arepresented, paying particular attention to the stabil ity analysis. Linear difference equations are studied in detail and an elementary introduction of Z and Discrete Fourier Transform is presented. A whole chapter is devoted to thestudy of bifurcations and chaotic dynamics. One-step vector-valued dynamical systems are the subject of three chapters, where the reader can find the applications to positive systems, Markov chains, networks and search engines. Thebook is addressed mainly to students in Mathematics, Engineering, Physics, Chemistry, Biology and Eco nomics. The exposition is self-contained: some appendices present prerequisites, algorithms and suggestions for computer simulations.The analysis of several examples is enriched by the proposition of many related exercises of increasing difficulty in the last chapter the detailed solution is given for most of them |
Contents: | 1 Recursive phenomena and difference equations |
2 Linear difference equations | |
3 Discrete dynamical systems: one | |
step scalar equations | |
4 Complex behavior of nonlinear dynamical systems: bifurcations and chaos | |
5 Discrete dynamical systems: vector equations | |
6 Markov chains | |
7 Matrix | |
8 Solutions | |
ISBN: | 9783319022918 |
Series: | eBooks |
Series: | SpringerLink |
Series: | UNITEXT, 2038-5714 : v76 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Matrix theory , Functional equations , Differentiable dynamical systems |
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Call number: | SPRINGER-2014-9783319020242:ONLINE Show nearby items on shelf |
Title: | Physics, Nature and Society [electronic resource] : A Guide to Order and Complexity in Our World |
Author(s): |
Joaqun Marro |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This wide-ranging and accessible book serves as a fascinating guide to the strategies and concepts that help us understand the boundaries between physics, on the one hand, and sociology, economics, and biology on the other. Fromcooperation and critic ality to flock dynamics and fractals, the author addresses many of the topics belonging to the broad theme of complexity. He chooses excellent examples (requiring no prior mathematical knowledge) to illuminatethese ideas and their implications. The lively style and clear description of the relevant models will appeal both to novices and those with an existing knowledge of the field |
Contents: | A glance at the method |
The automata | |
Chaotic and noisy | |
Critical worlds | |
Chance and necessity | |
Size does not always matter | |
Living things | |
Interacting humans | |
Epilogue | |
ISBN: | 9783319020242 |
Series: | eBooks |
Series: | SpringerLink |
Series: | The Frontiers Collection, 1612-3018 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Artificial intelligence , Developmental biology , Mathematics |
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Call number: | SPRINGER-2014-9783319007861:ONLINE Show nearby items on shelf |
Title: | Singular Phenomena and Scaling in Mathematical Models [electronic resource] |
Author(s): |
Michael Griebel |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The book integrates theoretical analysis, numerical simulation and modeling approaches for the treatment of singular phenomena. The projects covered focus on actual applied problems, and develop qualitatively new andmathematically challenging methods for various problems from the natural sciences. Ranging from stochastic and geometric analysis over nonlinear analysis and modelling to numerical analysis and scientific computation, the book isdivided into the three sections: A) Scaling limits of diffus ion processes and singular spaces, B) Multiple scales in mathematical models of materials science and biology and C) Numerics for multiscale models and singular phenomena.Each section addresses the key aspects of multiple scales and model hierarchies, sin gularities and degeneracies, and scaling laws and self-similarity |
Contents: | Preface |
Area A Scaling Limits of Diffusion Processes and Singular Spaces | |
Area B Multiple Scales in Mathematical Models of Materials Science and Biology | |
Area C Numerics for Multiscale Models and Singular Phenomena | |
ISBN: | 9783319007861 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Computer science |
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Call number: | SPRINGER-2014-9783034808132:ONLINE Show nearby items on shelf |
Title: | Elliptic Partial Differential Equations [electronic resource] : Volume 2: Reaction-Diffusion Equations |
Author(s): |
Vitaly Volpert |
Date: | 2014 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | If we had to formulate in one sentence what this book is about it might be How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species. These and many otherapplications are described by re action-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics,biomedical modelling. The purpose of this book is to pre sent the mathematical theory of reaction-diffusion equations in the context of their numerous applications. We will go from the general mathematical theory to specific equationsand then to their applications. Mathematical anaylsis of reaction-diffusion eq uations will be based on the theory of Fredholm operators presented in the first volume. Existence, stability and bifurcations of solutions will be studiedfor bounded domains and in the case of travelling waves. The classical theory of reaction-diffusion equations and new topics such as nonlocal equations and multi-scale models in biology will be considered |
Contents: | I. Introduction to the theory of reaction |
diffusion equations | |
Chapter 1. Reaction | |
diffusion processes, models and applications | |
Chapter 2. Methods of analysis | |
Chapter 3. Reaction | |
diffusion problems in bounded domains | |
Chapter 4. Reaction | |
diffusion problems on the whole axis | |
II. Reaction | |
diffusion waves in cylinders | |
Chapter 5. Monotone systems | |
Chapter 6. Reaction | |
diffusion problems with convection | |
Chapter 7. Reaction | |
diffusion systems with different diffusion coefficients | |
Chapter 8. Nonlinear boundary conditions | |
Chapter 9. Nonlocal reaction | |
diffusion equations | |
Cha | |
ISBN: | 9783034808132 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Monographs in Mathematics, 1017-0480 : v104 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Title: | Topical Directions of Informatics [electronic resource] : In Memory of V. M. Glushkov |
Author(s): |
Ivan V Sergienko |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This work is devoted to the late Ukrainian computer scientist V. M. Glushkov on the 90th anniversary of his birthday. Dr. Glushkov is known for his contribution to the world computer science and technology, and this volumeanalyzes the ideas and paths of development of informatics formulated by him, and demonstrates their important role in constructing computer technologies of basic research in the fields of applied mathematics, theories of computerprogramming, and computing systems. A significant po rtion of the monograph is devoted to the elucidation of new results obtained in the field of mathematical modeling of complicated processes, creation of new methods for solvingand investigating optimization problems in different statements, and developmen t of computer technologies for investigations in the field of economy, biology, medicine, and information security in systems. The monograph will be ofparticular interest to informatics specialists and experts using methods of informatics and computer te chnologies to investigate complicated processes of different natures and developing new information technologies. It may also beuseful for both graduate students and postgraduates specializing in Computer Science |
Contents: | Introduction |
1. Theoretical and Applied Programming | |
2. Supercomputers and Intelligent Technologies of High | |
Performance Computing | |
3. Computer Technologies as Tools for Studying Complicated Processes | |
4. Mathematical Models and Computer Technologies in Investigating Economic Processes | |
5. Mathematical Modeling and Investigation of Complicated Processes | |
6. Optimization Methods for Solving Transcomputational Problems | |
7. Combinatorial Optimization Problems | |
8. Computer Technologies in Medical and Biological Research | |
ISBN: | 9781493904761 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Optimization and Its Applications, 1931-6828 : v78 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics |
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Call number: | SPRINGER-2014-9781461495215:ONLINE Show nearby items on shelf |
Title: | Computational Methods for Three-Dimensional Microscopy Reconstruction [electronic resource] |
Author(s): |
Gabor T Herman Joachim Frank |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Approaches to the recovery of three-dimensional information on a biological object, which are often formulated or implemented initially in an intuitive way, are concisely described here based on physical models of the object andthe image-formation pr ocess. Both three-dimensional electron microscopy and X-ray tomography can be captured in the same mathematical framework, leading to closely-related computational approaches, but the methodologies differ indetail and hence pose different challenges. The editors of this volume, Gabor T. Herman and Joachim Frank, are experts in the respective methodologies and present research at the forefront of biological imaging and structural biology. Computational Methods for Three-Dimensional Microscopy Reconstructio n will serve as a useful resource for scholars interested in the development of computational methods for structural biology and cell biology, particularly in thearea of 3D imaging and modeling |
Contents: | 1 Introduction |
2 Interchanging geometry conventions in 3DEM: Mathematical context for the development of standards | |
3 Fully automated particle selection and verification in single | |
particle cryo | |
EM | |
4 Quantitative analysis in iterative classification schemes for cryo | |
EM applications | |
5 High | |
resolution cryo | |
EM structure of the Trypanosoma brucei ribosome of a case study | |
6 Computational methods for electron tomography of influenza virus | |
7 Reconstruction from microscopic projections with defocus | |
gradient and attenuation effects | |
8 Soft X | |
ray tomography imaging for biological sampl | |
ISBN: | 9781461495215 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Applied and Numerical Harmonic Analysis, 2296-5009 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Bioinformatics , Physiology Mathematics , Visualization , Cell aggregation Mathematics |
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Call number: | SPRINGER-2014-9781461491613:ONLINE Show nearby items on shelf |
Title: | Nonlinear Maps and their Applications [electronic resource] : Selected Contributions from the NOMA 2011 International Workshop |
Author(s): |
Clara Grcio Daniele Fournier-Prunaret Tetsushi Ueta Yoshifumi Nishio |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics,biology, or can also be obta ined via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors and phenomena is of the greatest interest for scientists.This volume contains papers that were presented at the International Workshop on Nonlinear Maps and their Applications (NOMA 2011) held in vora, Portugal, on September 15-16, 2011. This kind of collaborative effort is of paramountimportance in promoting communication among the various groups that work in dynamical systems and networks in their research theoretical studies as well as for applications. This volume is suitable for graduate students as well asresearchers in the field |
Contents: | J. P. Almeida A. A. Pinto D. A. Rand, Renormalization of circlediffeomorphism sequences and Markov sequences |
F. Balibrea M. V. Caballero, Examples of Lyapunov exponents in two dimensional systems | |
R. A. da Costa S. N. Dorogovtsev A.V. Goltsev J. F. F. Mendes, Characteristics of the explosive percolation transition | |
E. S. Roberts A. Annibale A. C. C. Coolen, Controlled Markovian dynamics of graphs: unbiased generation of random graphs with prescribed topological properties | |
G. Bettencourt, A case leading to rationalist of the drift | |
L. S. Efremova, Remarks on the nonwanderi | |
ISBN: | 9781461491613 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v57 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems |
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Call number: | SPRINGER-2014-9781461489634:ONLINE Show nearby items on shelf |
Title: | Phase Transition Dynamics [electronic resource] |
Author(s): |
Tian Ma Shouhong Wang |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book areto introduce a gener al principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in thenonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories:continuous, catastrophic and random. The audience for this boo k includes advanced graduate students and researchers in mathematics and physics as well as in other related fields |
Contents: | Users Guide |
General Theory of Phase Transition Dynamics | |
Dynamic Transition Theory | |
Equilibrium Phase Transition in Statistical Physics | |
Fluid Dynamics | |
Geophysical Fluid Dynamics and Climate Dynamics | |
Dynamical Transitions in Chemistry and Biology | |
References | |
ISBN: | 9781461489634 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2014-9781461488668:ONLINE Show nearby items on shelf |
Title: | Waves in Neural Media [electronic resource] : From Single Neurons to Neural Fields |
Author(s): |
Paul C Bressloff |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Waves in Neural Media: From Single Cells to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The workprovides a pedagogic al account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weaklynonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation ofaction potentials has inspired new mathematics, particularly with regard tothe PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interestingmathematical questions with regard tothe solution of nonlocal integro-differential equat ions. Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlineardynamics will find this book to be a valuable resource. The main prerequisites are an introductory graduate cours e on ordinary differential equations and partial differential equations, making this an accessible and unique contributionto the field of mathematical biology. |
Contents: | Preface |
Part I Neurons | |
Single Neuron Modeling | |
Traveling Waves in One | |
Dimensional Excitable Media | |
Wave Propagation Along Spiny Dendrites | |
Calcium Waves and Sparks | |
Part II Networks | |
Waves in Synaptically | |
Coupled Spiking Networks | |
Population Models and Neural Fields | |
Waves in Excitable Neural Fields | |
Neural Field Model of Binocular Rivalry Waves | |
Part III Development and Disease | |
Waves in the Developing and the Diseased Brain | |
Index | |
ISBN: | 9781461488668 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes on Mathematical Modelling in the Life Sciences, 2193-4789 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Neurosciences , Differential Equations , Physiology Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9781447153610:ONLINE Show nearby items on shelf |
Title: | Probability Theory [electronic resource] : A Comprehensive Course |
Author(s): |
Achim Klenke |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | This second edition of the popular textbook contains a comprehensive course in modern probability theory. Overall, probabilistic concepts play an increasingly important role in mathematics, physics, biology, financial engineeringand computer science. They help us in understanding magnetism, amorphous media, genetic diversity and the perils of random developments at financial markets, and they guide us in constructing more efficient algorithms. To addressthese concepts, the title covers a wide variet y of topics, many of which are not usually found in introductory textbooks, such as: limit theorems for sums of random variables martingales percolation Markov chains andelectrical networks construction of stochastic processes Poisson point process and infinite divisibility large deviation principles and statistical physics Brownian motion stochastic integral and stochasticdifferential equations. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts inprobability theory. This second edition has been carefully extended and includes many new features. It contains updated figures (over 50), computer simulat ions and some difficult proofs have been made more accessible. A wealth ofexamples and more than 270 exercises as well as biographic details of key mathematicians support and enliven the presentation. It will be of use to students and researchers in mathe matics and statistics in physics, computer science,economics and biology |
Contents: | Basic Measure Theory |
Independence | |
Generating Functions | |
The Integral | |
Moments and Laws of Large Numbers | |
Convergence Theorems | |
Lp | |
Spaces and the RadonNikodym Theorem | |
Conditional Expectations | |
Martingales | |
Optional Sampling Theorems | |
Martingale Convergence Theorems and Their Applications | |
Backwards Martingales and Exchangeability | |
Convergence of Measures | |
Probability Measures on Product Spaces | |
Characteristic Functions and the Central Limit Theorem | |
Infinitely Divisible Distributions | |
Markov Chains | |
Convergence of Markov Chains | |
Markov Chains and Electr | |
ISBN: | 9781447153610 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Functional analysis , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9780817684099:ONLINE Show nearby items on shelf |
Title: | A Probability Path [electronic resource] |
Author(s): |
Sidney I Resnick |
Date: | 2014 |
Publisher: | Boston, MA : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate studentsfrom a variety of disci plines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research instatistics, applied probability, biology, operations research, mathematical finance, and engineering. Aone-semester course is laid out in an efficient and readable manner covering the core material. The first three chaptersprovide a functioning knowledge of measure theory. Chapter 4 discusses independence, with expectation and integration covered in Chapter 5, followed by topics on different modes of convergence, laws of large numbers with applicationsto statistics (quantile and distribution function estimation), and applied probability. Two subsequent cha pters offer a careful treatment of convergence in distribution and the central limit theorem. The final chapter treatsconditional expectation and martingales, closing with a discussion of two fundamental theorems of mathematical finance. Like Adventures in Stochastic Processes, Resnicks related and very successful textbook, A Probability Path isrich in appropriate examples, illustrations, and problems, and is suitable for classroom use or self-study. The present uncorrected, softcover reprintis designed to make this classic textbookavailable to a wider audience. This book is different from the classical textbooks on probability theory in that it treats the measure theoreticbackground not as a prerequisite but as an integral part of probability theory. Th e result is that the reader gets a thorough and well-structured framewo |
ISBN: | 9780817684099 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Modern Birkhuser Classics, 2197-1803 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2013-9783642381898:ONLINE Show nearby items on shelf |
Title: | Facets of Combinatorial Optimization [electronic resource] : Festschrift for Martin Grtschel |
Author(s): |
Michael Jnger Gerhard Reinelt |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Martin Grtschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday onSeptember 10, 2013. Martin G rtschels doctoral descendant tree 19832012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren, and 2 great-great-grandchildren, a total of 139 doctoraldescendants. This book starts with a personal tribute to Martin G rtschel by the editors (Part I), a contribution by his very special predecessor Manfred Padberg on Facets and Rank of Integer Polyhedra (Part II), and thedoctoral descendant tree 19832012 (Part III). The core of this book (Part IV) contains 16 contributio ns, each of which is coauthored by at least one doctoral descendant. The sequence of the articles starts with contributions tothe theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimiza tion, superclasses of perfect graphs, efficient algorithms for subtree-telecenters, junctions in acyclicgraphs, and preemptive restricted strip covering, as well as efficient approximation of non-preemptive restricted strip covering. Combinations of new t heoretical insights with algorithms and experiments deal with network designproblems, combinatorial optimization problems with submodular objective functions, and more general mixed-integer nonlinear optimization problems. Applications include VLSI layout design, systems biology, wireless network design,mean-risk optimization, and gas network optimization. Computational studies include a semidefinite branch and cut approach for the max k-cut problem, mixed-integer nonlinear optimal control, and mixed-inte ger linear optimization forscheduling and routing of fly-in safari planes. The two closing articles are devoted to computational advances in general mixed-integer li |
Note: | Springer eBooks |
Contents: | Martin Grtschel |
a tribute: M.Jnger and G.Reinelt | |
Facets and rank of integer polyhedra:M.Padberg | |
Constructing extended formulations from reflection relations:V.Kaibel and K.Pashkovich | |
Exact algorithms for combinatorial optimization problems with submodular objective functions: F.Baumann, S.Berckey, and C.Buchheim | |
Solving k | |
way graph partitioning problems to optimality: The impact of semidefinite relaxations and the bundle method: M.F. Anjos, B.Ghaddar, L.Hupp, F.Liers and A.Wiegele | |
Mirror | |
descent methods in mixed | |
integer convex optimization: M.Baes, T.Oertel, Ch.Wagner | |
ISBN: | 9783642381898 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computational complexity , Algorithms , Mathematical optimization |
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Call number: | SPRINGER-2013-9783642336966:ONLINE Show nearby items on shelf |
Title: | Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations [electronic resource] |
Author(s): |
Kelei Wang |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In Bose-Einstein condensates from physics and competing species system from population dynamics, it is observed that different condensates (or species) tend to be separated. This is known as the phase separation phenomena. Thesepose a new class of fr ee boundary problems of nonlinear partial differential equations. Besides its great difficulty in mathematics, the study of this problem will help us get a better understanding of the phase separation phenomena.This thesis is devoted to the study of the a symptotic behavior of singularly perturbed partial differential equations and some related free boundary problems arising from Bose-Einstein condensation theory and competing species model.We study the free boundary problems in the singular limit and give some characterizations, and use this to study the dynamical behavior of competing species when the competition is strong. These results have many applications inphysics and biology. It was nominated by the Graduate University of Chinese Academy of Scien ces as an outstanding PhD thesis |
Note: | Springer eBooks |
Contents: | Foreword |
Acknowledgements | |
Introduction | |
Uniqueness, Stability and Uniform Lipschitz Estimates | |
Uniqueness in the Singular Limit | |
The Dynamics of One Dimensional SingularLimitingProblem | |
Approximate CleanUpLemma | |
Asymptotics in Strong Competition | |
The Limited Equation of a Singular Perturbed System | |
Reference | |
Index | |
ISBN: | 9783642336966 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Differential equations, partial |
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Call number: | SPRINGER-2013-9783642328824:ONLINE Show nearby items on shelf |
Title: | Mathematical Modeling and Validation in Physiology [electronic resource] : Applications to the Cardiovascular and Respiratory Systems |
Author(s): |
Jerry J Batzel Mostafa Bachar Franz Kappel |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume synthesizes theoretical and practical aspects of both the mathematical and life scienceviewpoints needed for modeling ofthe cardiovascular-respiratory system specifically andphysiological systems generally.Theoretical points include model design,model complexity and validation in the light of available data, as well as control theory approachesto feedback delayand Kalman filter applications toparameter identification. State ofthe art approaches using parameter sensitivity are discussed fo renhancing modelidentifiability through joint analysis ofmodel structure and data. Practical examples illustratemodel development at various levels of complexitybased on given physiological information. The sensitivity-based approaches for examining model identifiability are illustrated by means of specific modeling examples. The themes presented address the current problem ofpatient-specific model adaptation in the clinical setting, where data is typically limited |
Note: | Springer eBooks |
Contents: | 1 Merging Mathematical and Physiological Knowledge: Dimensions and Challenges |
2 Mathematical Modeling of Physiological Systems | |
3Parameter Selection Methods in Inverse Problem Formulation | |
4 Application of the Unscented Kalman Filtering to Parameter Estimation | |
5 Integrative and Reductionist Approaches to Modeling of Control of Breathing | |
6 Parameter Identification in a Respiratory Control System Model with Delay | |
7 Experimental Studies of Respiration and Apnea | |
8 Model Validation and Control Issues in the Respiratory System | |
9 Experimental Studies of the Baroreflex | |
10 De | |
ISBN: | 9783642328824 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2064 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Human physiology , Biology Data processing |
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Call number: | SPRINGER-2013-9783642309588:ONLINE Show nearby items on shelf |
Title: | Encyclopedia of Distances [electronic resource] |
Author(s): |
Michel Marie Deza Elena Deza |
Date: | 2013 |
Edition: | 2nd ed. 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a field now regarded as an essential tool in many areas of pure and appliedmathematics. The publi cation of this volume coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate metrics have become a crucial goal in computational biology, imageanalysis, speech recognition and information retrieval. Leaving aside the practical questions that arise during the selection of a good distance function, this work focuses on providing the research community with aninvaluable comprehensive listing of the main available distances. As well as provi ding standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links tocore entries. In addition to distances themselves, the authors have collated numerous fascinating curiosit ies in their Whos Who of metrics, including distance-related notions and paradigms that enable applied mathematicians in othersectors to deploy research tools that non-specialists justly view as arcane. In expanding access to these techniques, and in many cases enriching the context of distances themselves, this peerless volume is certain to stimulate freshresearch |
Note: | Springer eBooks |
Contents: | Part I. Mathematics of Distances |
1 General Definitions | |
2 Topological Spaces | |
3 Generalization of Metric Spaces | |
4 Metric Transforms | |
5 Metrics on Normed Structures | |
Part II. Geometry and Distances | |
6 Distances in Geometry | |
7 Riemannian and Hermitian Metrics | |
8 Distances on Surfaces and Knots | |
9 Distances on Convex Bodies, Cones and Simplicial Complexes | |
Part III. Distances in Classical Mathematics | |
10 Distances in Algebra | |
11 Distances on Strings and Permutations | |
12 Distances on Numbers, Polynominals and Matrices | |
13 Distances in Functional Analysis | |
14 Dista | |
ISBN: | 9783642309588 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Visualization , Geometry , Global differential geometry , Topology , Engineering mathematics |
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Call number: | SPRINGER-2013-9783642303678:ONLINE Show nearby items on shelf |
Title: | Model Based Parameter Estimation [electronic resource] : Theory and Applications |
Author(s): |
Hans Georg Bock Thomas Carraro Willi Jger Stefan Krkel Rolf Rannacher Johannes P Schlder |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This judicious selection of articles combines mathematical and numerical methods to apply parameter estimation and optimum experimental design in a range of contexts. These include fields as diverse as biology, medicine,chemistry, environmental physi cs, image processing and computer vision. The material chosen was presented at a multidisciplinary workshop on parameter estimation held in 2009 in Heidelberg. The contributions show how indispensableefficient methods of applied mathematics and computer-b ased modeling can be to enhancing the quality of interdisciplinary research. The use of scientific computing to model, simulate, and optimize complex processes has become astandard methodology in many scientific fields, as well as in industry. Demonstrat ing that the use of state-of-the-art optimization techniques in a number of research areas has much potential for improvement, this book providesadvanced numerical methods and the very latest results for the applications under consideration |
Note: | Springer eBooks |
Contents: | Parameter Estimation and Optimum Experimental Design for Differential Equation Models: H.G. Bock, St. Krkel, J.P. Schlder |
Adaptive Finite Element Methods for Parameter Identification Problems: B. Vexler | |
Gauss | |
Newton Methods for Robust Parameter Estimation: T. Binder, E. Kostina | |
An Optimal Scanning Sensor Activation Policy for Parameter Estimation of Distributed Systems: D. Ucnski | |
Interaction between Experiment, Modeling and Simulation of Spatial Aspects in the JAK2/STAT5 Signaling Pathway: E. Friedmann, A. C. Pfeifer, R. Neumann, U. Klingmller , R. Rannacher | |
The Importan | |
ISBN: | 9783642303678 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Contributions in Mathematical and Computational Sciences, 2191-303X : v4 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial , Computer science , Numerical analysis , Mathematical optimization |
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Call number: | SPRINGER-2013-9783642275555:ONLINE Show nearby items on shelf |
Title: | Differential-Algebraic Equations: A Projector Based Analysis [electronic resource] |
Author(s): |
Ren Lamour Roswitha Mrz Caren Tischendorf |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In thisrelatively short tim e, DAEs have become a widely acknowledged tool to model processes subjected to certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemicalkinematics, mechanical engineering and syste ms biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential forthe future mathematical modeling of complex coupled processes. The purpose ofthe book is to expose the impressive complexity of general DAEs fro m an analytical point of view, to describe the state of the art as well as open problems andin sodoing to motivate further researchof this versatile,extraordinary topic from a broader mathematical perspective. The book elaborates on a new general, structu ral analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of specialprojector functions. Some issues on numerical integration and computational aspects are also treated in this context |
Note: | Springer eBooks |
Contents: | Notations |
Introduction | |
Part I. Projector based approach | |
1 Linear constant coefficient DAEs | |
.2 Linear DAEs with variable coefficients | |
3 Nonlinear DAEs | |
Part II. Index | |
1 DAEs: Analysis and numerical treatment | |
4 Analysis | |
5 Numerical integration | |
6 Stability issues | |
Part III. Computational aspects | |
7 Computational linear algebra aspects | |
8 Aspects of the numerical treatment of higher index DAEs | |
Part IV. Advanced topics | |
9 Quasi | |
regular DAEs | |
10 Nonregular DAEs | |
11 Minimization with constraints described by DAEs | |
12 Abstract differential algebraic equations | |
ISBN: | 9783642275555 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Differential-Algebraic Equations Forum |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Computer science Mathematics |
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Call number: | SPRINGER-2013-9783319006307:ONLINE Show nearby items on shelf |
Title: | Excel 2010 for Physical Sciences Statistics [electronic resource] : A Guide to Solving Practical Problems |
Author(s): |
Thomas J Quirk Meghan Quirk Howard Horton |
Date: | 2013 |
Publisher: | Heidelberg : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is the first book to show the capabilities of Microsoft Excel to teach physical sciences statistics effectively. It is a step-by-step exercise-driven guide for students and practitioners who need to master Excel to solvepractical science problem s. If understanding statistics isnt your strongest suit, you are not especially mathematically-inclined, or if you are wary of computers, this is the right book for you. Each chapter explains statisticalformulas and directs the reader to use Excel command s to solve specific, easy-to-understand science problems. Practice problems are provided at the end of each chapter with their solutions in an appendix. Separately, there is a fullPractice Test (with answers in an Appendix) that allows readers to test wha t they have learned. Includes 159 illustrations in color. Suitable for undergraduates or graduate students. Professor.Thomas J. Quirk is currently a Professor of Marketing in the Walker School of Business and Technology at Webster University in St. Loui s, Missouri (USA). He has published over 20 articles in professional journals and presented morethan 20 papers at professional conferences. He holds a B.S. in Mathematics from John Carroll University, and both an M.A. in Education and a Ph.D. in Education al Psychology from Stanford University, as well as an M.B.A. from theUniversity of Missouri-St. Louis. Dr. Meghan H. Quirk holds both a Ph.D. in Biological Education and an M.A. in Biological Sciences from the University of Northern Colorado (UNC) and a B .A. in Biology and Religion at Principia Collegein Elsah, Illinois. She has done research on foodweb dynamics at Wind Cave National Park in South Dakota and research in agro-ecology in Southern Belize. She has co-authored an article on shortgrass steppe e cosystems in Photochemistry& Photobiology. She was a National Science Foundation Fellow GK-12, and currently teaches in Bailey, Colorado. Howard F. Horton holds an |
Note: | Springer eBooks |
ISBN: | 9783319006307 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics |
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Call number: | SPRINGER-2013-9781461493327:ONLINE Show nearby items on shelf |
Title: | Topics from the 8th Annual UNCG Regional Mathematics and Statistics Conference [electronic resource] |
Author(s): |
Jan Rycht Sat Gupta Ratnasingham Shivaji Maya Chhetri |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Annual University of North Carolina Greensboro Regional Mathematics and Statistics Conference (UNCG RMSC) has provided a venue for student researchers to share their work since 2005. The 8th Conference took place on November3, 2012. The UNCG-RMSC conference established a tradition of attracting active researchers and their faculty mentors from NC and surrounding states. The conference is specifically tailored for students to present the results of theirresearch and to allow participants to intera ct with and learn from each other. This type of engagement is truly unique. The broad scope of UNCG-RMSC includes topics in applied mathematics, number theory, biology, statistics,biostatistics and computer sciences. |
Note: | Springer eBooks |
Contents: | Preface |
Promoting Undergraduate Research in Mathematics | |
A program Making a Difference in Quantitative Sciences | |
Quantitative Methods in Biomedical Applications: Creative Inquiry and Digital Learning Environments to Engage and Mentor STEM Students in Mathematics | |
ISBN: | 9781461493327 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v64 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Mathematical statistics |
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Call number: | SPRINGER-2013-9781461490531:ONLINE Show nearby items on shelf |
Title: | Optimization Approaches for Solving String Selection Problems [electronic resource] |
Author(s): |
Elisa Pappalardo Panos M Pardalos Giovanni Stracquadanio |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Optimization Approaches for Solving String Selection Problemsprovides an overview of optimization methods for a wide class of genomics-related problems in relation to the string selection problems. This class of problemsaddresses the recognition of s imilar characteristics or differences within biological sequences. Specifically, this book considers a large class of problems, ranging from the closest string and substring problems, to the fartheststring and substring problems, to the far from most stri ng problem.Each problem includes a detailed description, highlighting both biological and mathematical features and presents state-of-the-art approaches. This Briefprovidesaquick introduction of optimization methods for string selection problems for young scientists and a detailed description of the mathematical and computational methods developed for experts in the field of optimization who want todeepen their understanding of the string selection problems.Researchers, practitionersand graduate students in the field of Computer Science, Operation Research, Mathematics, Computational Biology and Biomedicine will find thisbook useful. |
Note: | Springer eBooks |
Contents: | 1. Biological Sequences |
2. Strings: Theory, Properties and Applications | |
3. Mathematical Optimization | |
4. String Selection Problems | |
ISBN: | 9781461490531 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Optimization, 2190-8354 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computational complexity , Computer science , Computer science Mathematics |
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Call number: | SPRINGER-2013-9781461476870:ONLINE Show nearby items on shelf |
Title: | Brownian Dynamics at Boundaries and Interfaces [electronic resource] : In Physics, Chemistry, and Biology |
Author(s): |
Zeev Schuss |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their keyrole in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions ofbiological micro devices such as protein ionic ch annels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry,biophysics, computer science, communications theory, mathematical finance theor y, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematicalproblems that neither the kinetic theory of Maxwell and Boltzmann, nor Einsteins and Langevins theori es of Brownian motion could predict. This book takes the readers on a journey that starts with the rigorous definition ofmathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who areinterested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout |
Note: | Springer eBooks |
Contents: | The Mathematical Brownian Motion |
Euler Simulation of Ito SDEs | |
Simulation of the Overdamped Langevin Equation | |
The First Passage Time of a Diffusion Process | |
Chemical Reaction in Microdomains | |
The Stochastic Separatrix | |
Narrow Escape in R2 | |
Narrow Escape in R3 | |
ISBN: | 9781461476870 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v186 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Distribution (Probability theory) , Mathematical physics |
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Call number: | SPRINGER-2013-9781461473855:ONLINE Show nearby items on shelf |
Title: | Bounded Noises in Physics, Biology, and Engineering [electronic resource] |
Author(s): |
Alberto d'Onofrio |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by itsinteraction with the ex ternal world. Bounded Noises in Physics, Biology, and Engineering is the first contributed volumedevoted to the modeling of bounded noises in theoretical and applied statistical mechanics, quantitative biology,and mathematical physics.It gives an overview of the currentstate-of-the-art and isintended to stimulatefurther research. The volumeis organized in four parts. The first part presents the main kinds of bounded noises andtheir applications in theoretical physics. The theory of bounded stochastic pro cesses is intimately linked to its applications to mathematical and statistical physics, and it would be difficult and unnatural to separate the theory fromits physical applications. The second is devoted to framing bounded noises in the theory of random dynamical systems and random bifurcations, while the third is devoted to applications of bounded stochastic processes in biology, one ofthe major areas of potential applications of this subject. The final part concerns the application of bounded stochasti c processes in mechanical and structural engineering, the area where the renewed interest for non-Gaussian boundednoises started. Pure mathematicians working on stochastic calculus will find here a rich source of problems that are challenging from the poi nt of view of contemporary nonlinear analysis. Bounded Noises in Physics, Biology, andEngineering is intended for scientists working on stochastic processes with an interest in both fundamental issues and applications.It will appeal to a broad range of a pplied mathematicians, mathematical biologists, physicists,engineers, and researchers in other fields interested in complexity theory. Itis accessible to anyonewith a working knowl |
Note: | Springer eBooks |
Contents: | Introduction |
Part I : Modeling of Bounded Noises and Their Applications in Physics | |
On Bounded Stochastic Processes | |
Dynamics of Systems With Randomly Disordered Periodic Excitations | |
Noise | |
Induced Phenomena: Effects of Noises Based on Tsallis Statistics | |
Dynamical Systems Driven by Dichotomous Noise | |
Stochastic Oscillator : Brownian Motion With Adhesion | |
Numerical Study of Energetic Stability For Harmonic Oscillator With Fluctuating Damping Parameter | |
A Moment | |
Based Approach to Bounded Non | |
Gaussian Colored Noise | |
Spatiotemporal Bounded Noises, and Their Application to the | |
ISBN: | 9781461473855 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology, 2164-3679 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) , Engineering mathematics |
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Call number: | SPRINGER-2013-9781461472766:ONLINE Show nearby items on shelf |
Title: | Mathematics for the Life Sciences [electronic resource] : Calculus, Modeling, Probability, and Dynamical Systems |
Author(s): |
Glenn Ledder |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Mathematics for the Life Sciences provides present and future biologists with the mathematical concepts and tools needed to understand and use mathematical models and read advanced mathematical biology books. It presentsmathematics in biological cont exts, focusing on the central mathematical ideas, and providing detailed explanations. The author assumes no mathematics background beyond algebra and precalculus. Calculus is presented as aone-chapter primer that is suitable for readers who have not stud ied the subject before, as well as readers who have taken a calculus course and need a review. This primer is followed by a novel chapter on mathematical modeling thatbegins with discussions of biological data and the basic principles of modeling. The rem ainder of the chapter introduces the reader to topics in mechanistic modeling (deriving models from biological assumptions) and empiricalmodeling (using data to parameterize and select models). The modeling chapter contains a thorough treatment of key ide as and techniques that are often neglected in mathematics books. It also provides the reader with a sophisticatedviewpoint and the essential background needed to make full use of the remainder of the book, which includes two chapters on probability and it s applications to inferential statistics and three chapters on discrete and continuousdynamical systems. The biological content of the book is self-contained and includes many basic biology topics such as the genetic code, Mendelian genetics, population d ynamics, predator-prey relationships, epidemiology, andimmunology. The large number of problem sets include some drill problems along with a large number of case studies. The latter are divided into step-by-step problems and sorted into the appropriate se ction, allowing readers togradually develop complete investigations from understanding the biological assumptions to a complete analysis |
Note: | Springer eBooks |
Contents: | A Brief Summary of Calculus |
Mathematical Modeling | |
Probability Distributions | |
Working with Probability | |
Dynamics of Single Populations | |
Discrete Dynamical Systems | |
Continuous Dynamical Systems | |
Index | |
ISBN: | 9781461472766 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Undergraduate Texts in Mathematics and Technology, 1867-5506 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Life sciences , Differentiable dynamical systems |
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Call number: | SPRINGER-2013-9781461467298:ONLINE Show nearby items on shelf |
Title: | Dynamics On and Of Complex Networks, Volume 2 [electronic resource] : Applications to Time-Varying Dynamical Systems |
Author(s): |
Animesh Mukherjee Monojit Choudhury Fernando Peruani Niloy Ganguly Bivas Mitra |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This self-contained book systematically explores the statistical dynamics on and of complex networks with a specialfocus on time-varying networks. In the constantly changing modern world, there is an urgent need to understandproblems related to syste ms that dynamically evolve in either structure or function, or both. Thiswork is an attempt to address such problems in the framework of complex networks. Dynamics on and of Complex Networks, Volume 2:Applications to Time-Varying Dynamical Systems is a co llection of surveys and cutting-edge research contributions exploring key issues, challenges, and characteristics of dynamical networks that emerge in various complex systems.Toward this goal, the work is thematically organized into three main sections wi th the primary thrust on time-varying networks: Part I studies social dynamics Part II focuses on community identification and Part III illustratesdiffusion processes. The contributed chapters in this volume are intended to promote cross-fertilization in several research areas and will be valuable to newcomers in the field, experienced researchers, practitioners, and graduatestudents interested in pursuing research in dynamical networks with applications to computer science, statistical physics, nonlinear dynamics, linguistics, and the social sciences. This volume follows Dynamics On and Of ComplexNetworks: Applications to Biology, Computer Science, and the Social Sciences (2009), ISBN 978-0-8176-4750-6 |
Note: | Springer eBooks |
Contents: | Part I: Social and Biological Dynamics |
Part II: Information Dynamics | |
Part III: Theoretical Advancements | |
ISBN: | 9781461467298 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology, 2164-3679 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer network architectures , Telecommunication |
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