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Call number: | 9783662532249:ONLINE Show nearby items on shelf |
Title: | Computational Multiscale Modeling of Fluids and Solids Theory and Applications |
Author(s): |
Martin Oliver Steinhauser |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XXIII, 405 p. 139 illus., 34 illus. in color p.) |
Contents: | Part I Fundamentals -- Introduction -- Multiscale Computational Materials Science -- Mathematical and Physical Prerequisites -- Fundamentals of Numerical Simulation -- Part II Computational Methods on Multiscales -- Summary of Part I |
-- Computational Methods on Electronic/Atomistic Scale -- Computational Methods on Atomistic/Microscopic Scale -- Computational Methods on Microscopic/Mesoscopic Scale -- Perspectives in Multiscale Materials Modeling -- Further Reading | |
-- Mathematical Definitions -- Sample code for the main routine of a MD simulation -- A Sample Makefile -- Tables of Physical Constants -- List of Algorithms -- Selected Solutions | |
ISBN: | 9783662532249 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Computer mathematics , Geophysics , Applied mathematics , Engineering mathematics , Materials science , Physics , Numerical and Computational Physics, Simulation , Characterization and Evaluation of Materials , Computational Mathematics and Numerical Analysis , Appl.Mathematics/Computational Methods of Engineering , Geophysics and Environmental Physics |
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Call number: | 9783319510347:ONLINE Show nearby items on shelf |
Title: | Network Games, Control, and Optimization Proceedings of NETGCOOP 2016, Avignon, France |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (XIV, 234 p. 49 illus., 38 illus. in color p.) |
Contents: | Altman, E., Jain, A., Hayel, Y., Finite Improvement Property in a Stochastic Game Arising in Competition over Popularity in Social Networks -- Altman, E., Jain, A., Shimkin, N., Touati, C., Overview on Dynamic Games for Analyzing |
Competition in the Internet and in Online Social Networks -- Altman, E., Touati, C., Load Balancing Congestion Games and their Asymptotic Behavior -- Bachmann, I., Morales, F., Silva, A., Bustos-Jimenez, J., Go-Index: Applying Supply | |
Networks Principles as Internet Robustness Metrics -- Belhadj Amor, S., Perlaza, S., Decentralized K-User Gaussian Multiple Access Channels -- Berri, S., Varma, V., Lasaulce, S., Radjef, M., Correlated Equilibria in Wireless Power | |
Control Games -- Chorppath, A., Zappone, A., Jorswieck, E., Alpcan, T., An Energy-Efficiency Game in Relay-Assisted D2D Networks with Malicious Devices -- Courcoubetis, C., Dimakis, A., Kanakakis, M., Minimally Intrusive Server | |
Policies for Background Data Transfers -- De Pellegrini, F., Massaro, A., Goratti, L., Rachid, E., Bounded Generalized Kelly Mechanism for Multi-Tenant Caching in Mobile Edge Clouds -- Douros, V., Toumpis, S., Polyzos, G., Power | |
Control and Bargaining for Cellular Operator Revenue Increase under Licensed Spectrum Sharing -- Grammatico, S., An Incentive Mechanism for Agents Playing Competitive Aggregative Games -- Hamidouche, K., Saad, W., Debbah, M., | |
Multi-Games for LTE and WiFi Coexistence over Unlicensed Channels -- Hasan, C., Marina, M., Energy-Efficient User Association in Broadcast Transmission -- Ju, M., Zhou, F., Xiao, S., Torres-Moreno, J., Spectrum Shared p-Cycle Design in | |
Elastic Optical Networks with/without Spectrum Conversion Capabilities -- Chaitanya, A., Mukherji, U., Sharma, V., Learning Equilibria of a Stochastic Game on Gaussian Interference Channels with Incomplete Information -- Legenvre, F., | |
Altman, E., Hayal, Y., Potential Game Approach to Virus Attack in Network General Topology -- Marcastel, A., Belmega, E., Mertikopoulos, P., Fijalkow, I., Interfernce Mitigation via Pricing in Time-Varying Cognitive Radio Systems -- | |
Silva, A., Opinion Manipulation in Social Networks -- Taynitskiy, V., Gubar, E., Zhu, Q., Optimal Security Policy for Protection against Heterogeneous Malware -- Wu, H., Zhou, F., Zhu, Z., Chen, Y., An Experimental Comparison of | |
Routing and Spectrum Assignment Algorithms in Elastic Optical Networks -- Zhang, C., Varma, V., Lasaulce, S., Robust Power Modulation for Channel State Information Exchange | |
ISBN: | 9783319510347 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Computer science , Game theory , System theory , Computer mathematics , Applied mathematics , Engineering mathematics , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Systems Theory, Control , Mathematical Applications in Computer Science , Math Applications in Computer Science , Appl.Mathematics/Computational Methods of Engineering |
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Call number: | 9783319509303:ONLINE Show nearby items on shelf |
Title: | Random Walks in the Quarter Plane Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics |
Author(s): |
Guy Fayolle |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XVII, 248 p. 17 illus p.) |
Contents: | Introduction and History -- I The General Theory. - Probabilistic Background. - Foundations of the Analytic Approach. - The Case of a Finite Group -- II Applications to Queueing Systems and Analytic Combinatorics -- A Two-Coupled |
Processor Model. - References | |
ISBN: | 9783319509303 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Mathematical statistics , Difference equations , Functional equations , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Probability and Statistics in Computer Science , Difference and Functional Equations |
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Call number: | 9783319460031:ONLINE Show nearby items on shelf |
Title: | Lectures on Matrix Field Theory |
Author(s): |
Badis Ydri |
Date: | 2017 |
Size: | 1 online resource (XII, 352 p. 8 illus., 6 illus. in color p.) |
Contents: | Preface -- Introductory Remarks -- The Non-Commutative Moyal-Weyl Spaces Rd -- The Fuzzy Sphere -- Quantum Non-Commutative Phi-Four -- The Multitrace Approach -- Non-Commutative Gauge Theory -- Appendix A - The Landau States -- |
Appendix B - The Traces TrtAtB and TrtAtBtCtD -- Index | |
ISBN: | 9783319460031 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Computer science , Algebraic geometry , Mathematical physics , Quantum field theory , String theory , Quantum physics , Physics , Quantum Field Theories, String Theory , Mathematical Physics , Math Applications in Computer Science , Algebraic Geometry , Quantum Physics |
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Call number: | SPRINGER-2016-9784431559788:ONLINE Show nearby items on shelf |
Title: | Information Geometry and Its Applications |
Author(s): |
Shun-ichi Amari |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (373 p.) |
Note: | 10.1007/978-4-431-55978-8 |
Contents: | 1 Manifold, Divergence and Dually Flat Structure -- 2 Exponential Families and Mixture Families of Probability -- 3 Invariant Geometry of Manifold of Probability -- 4 α-Geometry, Tsallis q-Entropy and Positive-Definite -- 5 Elements of Differentia l Geometry -- 6 Dual Affine Connections and Dually Flat Manifold -- 7 Asymptotic Theory of Statistical Inference -- 8 Estimation in the Presence of Hidden Variables -- 9 Neyman–Scott Problem -- 10 Linear Systems and Time Series -- 11 Machine Learning -- 12 Natural Gradient Learning and its Dynamics in Singular -- 13 Signal Processing and Optimization -- Index |
ISBN: | 9784431559788 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Applied Mathematical Sciences: 194 |
Keywords: | Mathematics , Computer science , Computer mathematics , Differential geometry , Statistics , Mathematics , Differential Geometry , Mathematical Applications in Computer Science , Statistical Theory and Methods |
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Call number: | SPRINGER-2016-9783319400754:ONLINE Show nearby items on shelf |
Title: | Excel 2016 for Physical Sciences Statistics A Guide to Solving Practical Problems |
Author(s): |
Thomas J Quirk |
Date: | 2016 |
Size: | 1 online resource (161 p.) |
Note: | 10.1007/978-3-319-40075-4 |
ISBN: | 9783319400754 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Statistics , Application software , Mathematical physics , Statistics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Mathematical Applications in the Physical Sciences , Computer Appl. in Social and Behavioral Sciences |
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Call number: | SPRINGER-2016-9783319320854:ONLINE Show nearby items on shelf |
Title: | Geometry, Algebra and Applications: From Mechanics to Cryptography |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (198 p.) |
Note: | 10.1007/978-3-319-32085-4 |
Contents: | 1 W. Batat, P. M. Gadea, J. A. Oubiña, A survey on homogeneous structures on the classical hyperbolic spaces -- 2 A. Bejancu, On the (1 + 3) threading of spacetime -- 3 M. Brozos-Vázquez, E. Calviño-Louzao, E. García-Río, R. Vázquez-Lorenzo, L ocal structure of self-dual gradient Yamabe solitons -- 4 G. Calvaruso, The prescribed curvature problem in low dimension -- 5 M. Castrillón López, P. L. García, Euler-Poincare reduction by a subgroup of symmetries as an optimal control problem -- 6 M. Castrillón López, T. S. Ratiu, Morse families and Lagrangian submanifolds -- 7 R. Durán Díaz, L. Hernández Encinas, Special primes: properties and applications -- 8 F. Etayo, Rotation Minimizing vector fields and frames in Riemannian manifolds -- 9 R. Ferreiro Pérez, Local anomaly cancellation and equivariant cohomology of jet bundles -- 10 A. Fúster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for stream ciphers -- 11 V. Gayoso Martínez, L. Hernández Encinas, A. Martín Muñoz, |
Implementation of cryptographic algorithms for elliptic curves -- 12 R. Hernández-Amador, J. Monterde, J. Vallejo, Supermanifolds, symplectic geometry and curvature -- 13 A. Marcelo, F. Marcelo, C. Rodríguez, Prime submodules and symmetric algebra s -- 14 A. Martín del Rey, G. Rodríguez Sánchez, Application to cybersecurity of the stability theory of the systems of ordinary differential equations -- 15 I. V. Mykytyuk, On the non-triviality of the eight-form T4(w) on manifolds with a Spin(9)-stru cture -- 16 A. Peinado, Flaws in the application of Number Theory in Key Distribution Schemes for Multicast Networks -- 17 L. Pozo, E. Rosado, Einstein-Hilbert Lagrangian induced on the linear frame bundle | |
ISBN: | 9783319320854 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 161 |
Keywords: | Mathematics , Data structures (Computer science) , Data encryption (Computer science) , Coding theory , Differential geometry , Mathematical physics , Mathematics , Mathematical Physics , Differential Geometry , Data Encryption , Data Structures , Coding and Information Theory |
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Call number: | SPRINGER-2016-9783319306209:ONLINE Show nearby items on shelf |
Title: | Introduction to Probability with Statistical Applications |
Author(s): |
Géza Schay |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (385 p.) |
Note: | 10.1007/978-3-319-30620-9 |
Contents: | Introduction -- The Algebra of Events -- Combinatorial Problems -- Probabilities -- Random Variables -- Expectation, Variance, Moments -- Some Special Distributions -- The Elements of Mathematical Statistics |
ISBN: | 9783319306209 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical statistics , Measure theory , Applied mathematics , Engineering mathematics , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Probability and Statistics in Computer Science , Measure and Integration , Applications of Mathematics |
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Call number: | SPRINGER-2016-9783319301907:ONLINE Show nearby items on shelf |
Title: | Rabi N. Bhattacharya Selected Papers |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (711 p.) |
Note: | 10.1007/978-3-319-30190-7 |
Contents: | Part I: Modes of Approximation -- Hall, Contributions of Rabi Bhattacharya to the Central Limit Theory and Normal Approximation -- Yoshida, Asymptotic Expansions for Stochastic Processes -- Shao, An Introduction to Normal Approximation -- Reprints - - Part II: Large Time Asymptotics for Markov Processes I: Diffusion -- Varadhan, Martingale Methods for the Central Limit Theorem -- Kurtz, Ergodicity and Central Limit Theorems for Markov Processes -- Reprints -- Part III: Large Time Asymptotics for Mark ov Processes II: Dynamical Systems and Iterated Maps -- Athreya, Dynamical Systems, IID Random Iterations, and Markov Chains -- Waymire, Random Dynamical Systems and Selected Works of Rabi Bhattacharya -- Reprints -- Part IV: Stochastic Foundations in App lied Sciences I: Economics -- Kamihigashi, Stachurski, Stability Analysis for Random Dynamical Systems in Economics -- Roy, Some Economic Applications of Recent Advances in Random Dynamical Systems -- Reprints -- Part V: Stochastic |
Foundations in Applied Sciences II: Geophysics -- Thomann, Waymire, Advection-Dispersion in Fluid Media and Selected Works of Rabi Bhattacharya -- Flandoli, Romito, Cascade Representations for the Navier-Stokes Equations -- Reprints -- Part VI: Stoc hastic Foundations in Applied Sciences III: Statistics -- Dryden, Le, Preston, Wood, Nonparametric Statistical Methods on Manifolds -- Huckemann, Hotz, Nonparametric Statistics on Manifolds and Beyond -- Reprints | |
ISBN: | 9783319301907 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Business/Economics/Mathematical Finance/Insurance , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien |
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Call number: | SPRINGER-2016-9783319289649:ONLINE Show nearby items on shelf |
Title: | Excel 2013 for Physical Sciences Statistics A Guide to Solving Practical Problems |
Author(s): |
Thomas J Quirk |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (1 p.) |
Note: | 10.1007/978-3-319-28964-9 |
Contents: | Sample Size, Mean, Standard Deviation, and Standard Error of the Mean -- Random Number Generator -- Confidence Interval About the Mean Using the TINV Function and Hypothesis Testing -- One-Group t-Test for the Mean -- Two-Group t-Test of the Differ ence of the Means for Independent Groups -- Correlation and Simple Linear Regression -- Multiple Correlation and Multiple Regression -- One-Way Analysis of Variance (ANOVA) -- Appendix A: Answers to End-of-Chapter Practice Problems -- Appendix B: Practice Test -- Appendix C: Answers to Practice Test -- Appendix D: Statistical Formulas -- Appendix E: t-table. |
ISBN: | 9783319289649 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Statistics , Application software , Mathematical physics , Statistics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Mathematical Applications in the Physical Sciences , Computer Appl. in Social and Behavioral Sciences |
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Call number: | SPRINGER-2016-9783319278735:ONLINE Show nearby items on shelf |
Title: | New Trends in Applied Harmonic Analysis Sparse Representations, Compressed Sensing, and Multifractal Analysis |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (19 p.) |
Note: | 10.1007/978-3-319-27873-5 |
Contents: | Multifractal Analysis of Cantor-like Measures -- Multifractal Analysis and Wavelets -- An Introduction to Mandelbrot Cascades -- Lebesgue-type Inequalities for Greedy Approximation -- Results on Non-linear Approximation for Wavelet Bases in Weighte d Function Spaces -- Consequences of the Marcus/Spielman/Srivastava Solution of the Kadison-Singer Problem -- Model Sets and New Versions pf Shannon Sampling Theorem -- Stylometry and Mathematical Study of Authorship -- Thoughts on Numerical and Conceptua l Harmonic Analysis |
ISBN: | 9783319278735 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Harmonic analysis , Fourier analysis , Measure theory , Computer science , Computer mathematics , Mathematics , Fourier Analysis , Abstract Harmonic Analysis , Signal, Image and Speech Processing , Measure and Integration , Mathematical Applications in Computer Science |
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Call number: | SPRINGER-2016-9783319275178:ONLINE Show nearby items on shelf |
Title: | Simulation-Driven Modeling and Optimization ASDOM, Reykjavik, August 2014 |
Author(s): | |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (51 p.) |
Note: | 10.1007/978-3-319-27517-8 |
Contents: | Numerical Aspects of Model Order Reduction for Gas Transportation Networks (Grundel, S., Hornung, N. & Roggendorf, S.) -- Parameter Studies for Energy Networks with Examples from Gas Transport (Clees, T.) -- Fast Multi-Objective Aerodynamic Optimiza tion Using Space-Mapping-Corrected Multi-Fidelity Models and Kriging Interpolation (Leifsson, L. et al.) -- Assessment of Inverse and Direct Methods for Airfoil and Wing Design (Zhang, M. & Rizzi, A.W.) -- Performance Optimization of EBG-Based Common Mode Filters for Signal Integrity Applications (Orlandi, A. et al.) -- Unattended Design of Wide-Band Planar Filters using a Two-Step Aggressive Space Mapping (ASM) Optimization Algorithm (Boria, V. et al.) -- Two-Stage Gaussian Process Modeling of Microwave Structures for Design Optimization (Jacobs, J.P. & Koziel, S.) -- Efficient Reconfigurable Microstrip Patch Antenna Modeling Exploiting Knowledge Based Artificial Neural Networks (Simsek, M. & Aoad, A.) -- Expedited Simulation-Driven |
Multi-Objective Design Optimization of Quasi-Isotropic Dielectric Resonator Antenna (Bekasiewicz, A. et al.) -- Optimal Design of Photonic Crystal Nanostructures (Hassan, A.-K., Rafat, N. & Mohamed, A.S.A.) -- Design Optimization of LNAs and Reflect array Antennas using the Full-Wave Simulation based Artificial Intelligence Models with the Novel Metaheuristic Algorithms (Güneş, F., Demirel, S. & Nesil, S.) -- Stochastic Decision-Making in Waste Management Using a Firefly Algorithm-Driven Simulation -Optimization Approach for Generating Alternatives (Yeomans, J.S., Imanirad, R. & Yang, X.-S.) -- Linear and Nonlinear System Identification using Evolutionary Optimisation (Worden, K. et al.) -- A Surrogate-Model-Assisted Evolutionary Algorithm for Compu tationally Expensive Design Optimization Problems with Inequality Constraints (Liu, B., Zhang, Q. & Gielen, G.) -- Sobol Indices for Dimension Adaptivity in Sparse Grids (Dwight, R.P., Desmedt, S.G.L., & Omrani, P.S.). | |
ISBN: | 9783319275178 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 153 |
Keywords: | Mathematics , Computer mathematics , Mathematical models , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Mathematical Modeling and Industrial Mathematics , Computational Science and Engineering |
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Call number: | SPRINGER-2016-9783319263113:ONLINE Show nearby items on shelf |
Title: | Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications |
Author(s): |
Chiara Brombin |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (27 p.) |
Note: | 10.1007/978-3-319-26311-3 |
Contents: | Part I Offset Normal Distribution for Dynamic Shapes -- Basic Concepts and Definitions -- Shape Inference and the Offset-Normal Distribution -- Dynamic Shape Analysis Through the Offset-Normal Distribution -- Part II Combination-Based Permutation T ests for Shape Analysis -- Parametric and Non-Parametric Testing of Mean Shapes -- Applications of NPC Methodology -- Shape Inference and the Offset-Normal Distribution. |
ISBN: | 9783319263113 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Statistics , Mathematical statistics , Computer mathematics , Statistics , Statistical Theory and Methods , Probability and Statistics in Computer Science , Computational Mathematics and Numerical Analysis |
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Call number: | SPRINGER-2016-9783319251158:ONLINE Show nearby items on shelf |
Title: | Controlling Synchronization Patterns in Complex Networks |
Author(s): |
Judith Lehnert |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (50 p.) |
Note: | 10.1007/978-3-319-25115-8 |
Contents: | Introduction -- Complex Dynamical Networks -- Synchronization In Complex Networks -- Control of Synchronization Transitions by Balancing Excitatory and Inhibitory Coupling -- Cluster and Group Synchrony: The Theory -- Zero-Lag and |
Cluster Synchrony: Towards Applications -- Adaptive Control -- Adaptive Time-Delayed Feedback Control -- Adaptive Control of Cluster States in Network Motifs -- Adaptive Topologies -- Conclusion | |
ISBN: | 9783319251158 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Physical chemistry , System theory , Neural networks (Computer science) , Vibration , Dynamical systems , Dynamics , Physics , Complex Networks , Mathematical Models of Cognitive Processes and Neural Networks , Physical Chemistry , Vibration, Dynamical Systems, Control , Systems Theory, Control |
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Call number: | SPRINGER-2014-9789401786225:ONLINE Show nearby items on shelf |
Title: | Computational Experiment Approach to Advanced Secondary Mathematics Curriculum [electronic resource] |
Author(s): |
Sergei Abramovich |
Date: | 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digitaleducation era. This approac h, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allowsone (in the spirit of Freudenthal) to bridge seri ous mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When usedappropriately, the approach creates conditions for collateral learning (in t he spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teachereducation program, this book addresses a call for the preparation of teachers capable of utilizi ng modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the wholeSTEM education at the secondary level. By the same token, using the books pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation ofengineering profession |
Contents: | Preface |
1. Theoretical foundations of computational experiment approach to secondary mathematics | |
2. One | |
variable equations and inequalities: the unity of computational experiment and formal demonstration | |
3. Computationally supported study of quadratic functions depending on parameters | |
4. Computational experiment approach to equations with parameters | |
5. Inequalities with parameters as generators of new meanings | |
6. Computational experiments in trigonometry | |
7. Advancing stem education through temp: Geometric probabilities | |
8. Exploring topics in elementary number theory thr | |
ISBN: | 9789401786225 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics Education in the Digital Era, 2211-8136 : v3 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Education , Computer science Mathematics , Computer software , Mathematics |
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Call number: | SPRINGER-2014-9789400702028:ONLINE Show nearby items on shelf |
Title: | Mathematical Models for Eddy Currents and Magnetostatics [electronic resource] : With Selected Applications |
Author(s): |
Rachid Touzani Jacques Rappaz |
Date: | 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented inthe applied mathemat ics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductorsleading to different mathematical models are c arefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates arediscussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow ofelectrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications |
Contents: | Part I Eddy Current Models |
Mathematical framework | |
Introduction | |
Preliminaries | |
The Three | |
Dimensional Case | |
The Two | |
Dimensional Case | |
Maxwell and eddy current equations | |
Introduction | |
Maxwell equations | |
Low frequency approximation | |
Static cases | |
Time{Harmonic Regime | |
Eddy Current Equations | |
Two | |
dimensional models | |
Introduction | |
A solenoidal two | |
dimensional model | |
A transversal model | |
Three | |
dimensional models | |
A current density formulation | |
A magnetic field formulation | |
An electric field model | |
Axisymmetric models | |
Axisymmetric setting | |
A magneti | |
ISBN: | 9789400702028 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Scientific Computation, 1434-8322 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematics , Computer science , Engineering mathematics |
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Call number: | SPRINGER-2014-9788132215998:ONLINE Show nearby items on shelf |
Title: | Basic Modern Algebra with Applications [electronic resource] |
Author(s): |
Mahima Ranjan Adhikari Avishek Adhikari |
Date: | 2014 |
Publisher: | New Delhi : Springer India : Imprint: Springer |
Size: | 1 online resource |
Note: | The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a waythat it encourages ind ependent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. Inaddition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theoryto structure theory of rings and homological algebra. Algebraic as pects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraictopology, category theory, algebraic geometry, algebraic number theory, cryptography and theo retical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, withthe help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, example s, exercises and historical notes represents a valuable and unique resource |
Contents: | Prerequisites: Basics of Set Theory and Integers |
Groups: Introductory Concepts | |
Actions of Groups, Topological Groups and semigroups | |
Rings: Introductory Concepts | |
Ideals of Rings: Introductory concepts | |
Factorization in Integral Domains and in Polynomial Rings | |
Rings with Chain Conditions | |
Vector Spaces | |
Modules | |
Algebraic Aspects of Number Theory | |
Algebraic Numbers | |
Introduction to Mathematical Cryptography | |
Appendix A: Some Aspects of Semirings | |
Appendix B: Category Theory | |
Appendix C: A Brief Historical Note | |
ISBN: | 9788132215998 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Group theory , Number theory |
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Call number: | SPRINGER-2014-9783662442050:ONLINE Show nearby items on shelf |
Title: | Proofs from THE BOOK [electronic resource] |
Author(s): |
Martin Aigner Gnter M Ziegler |
Date: | 2014 |
Edition: | 5th ed. 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This revised and enlarged fifth editionfeatures four new chapters, which contain highly original and delightful proofs for classics such as the spectral theorem from linear algebra, some more recent jewels like thenon-existence of the Borromean rings and other surprises. From the Reviews ... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing andglorious ways. There is vast wealth within its pages, one gem aft er another. ... Aigner and Ziegler... write: ... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliantideas, clever insights and wonderful observations. I do. ... Notices of the AMS, August 1999 ... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It isa pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary bac kground is given separately, and the proofs are brilliant. ... LMS Newsletter, January 1999 Martin Aigner andGnter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erd s. The theorems are so fundamental, their proofs so elegant, and the remaining openquestions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... SIGACT News, December 2011 |
Contents: | Number Theory: 1. Six proofs of the infinity of primes |
2. Bertrands postulate | |
3. Binomial coefficients are (almost) never powers | |
4. Representing numbers as sums of two squares | |
5. The law of quadratic reciprocity | |
6. Every finite division ring is a field | |
7. The spectral theorem and Hadamards determinant problem | |
8. Some irrational numbers | |
9. Three times 2/6 | |
Geometry: 10. Hilberts third problem: decomposing polyhedral | |
11. Lines in the plane and decompositions of graphs | |
12. The slope problem | |
13. Three applications of Eulers formula | |
14. Cauchys | |
ISBN: | 9783662442050 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Global analysis (Mathematics) , Combinatorics , Geometry , Number 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-2014-9783319095318:ONLINE Show nearby items on shelf |
Title: | Translational Recurrences [electronic resource] : From Mathematical Theory to Real-World Applications |
Author(s): |
Norbert Marwan Michael Riley Alessandro Giuliani Jr. Webber Charles L |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book features 13 papers presented at the Fifth International Symposium on Recurrence Plots, held August 2013 in Chicago, IL. It examines recent applications and developments in recurrence plots and recurrence quantifi cationanalysis (RQA) with s pecial emphasis on biological and cognitive systems and the analysis of coupled systems using cross-recurrence methods. Readers will discover new applications and insights into a range of systems provided byrecurrence plot analysis and new theoretical and mathematical developments in recurrence plots. Recurrence plot based analysis is a powerful tool that operates on real-world complex systems that are nonlinear, non-stationary, noisy, ofany statistical distribution, free of any particular model type, and not particularly long. Quantitative analyses promote the detection of system state changes, synchronized dynamical regimes, or classifi cation of system states. Th ebook will be of interest to an interdisciplinary audience of recurrence plot users and re searchers interested in time series analysis of complex systems in general |
Contents: | 1 A Recurrence Plot |
based Distance Measure: S. Spiegel et al | |
2 Fast computation of recurrences in long time series: T. Rawald et al | |
3 Unthresholded recurrence plots for complex | |
valued representations of narrow band signals: A. Sipers et al | |
4 Quantifying redundancy and information content of lines in recurrence plots using the theory of framework rigidity: A. Sipers et al | |
5 Recent advances in non | |
stationary signal processing based on Recurrence Plot Analysis concept: C. Ioana et al | |
6 A Recurrence | |
Based Approach for Feature Extraction in Brain | |
Computer Interface Systems: L.F.S | |
ISBN: | 9783319095318 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v103 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Visualization , Mathematical statistics |
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Call number: | SPRINGER-2014-9783319077796:ONLINE Show nearby items on shelf |
Title: | Geometric Modeling in Probability and Statistics [electronic resource] |
Author(s): |
Ovidiu Calin Constantin Udrite |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest ofresearchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors hope that the present book will be a valuable referencefor researchers and graduate students in one of the afo rementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advancedundergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied bysoftware that is able to provide numerical computations of several information geometric objects. The read er will understand a flourishing field of mathematics in which very few books have been written so far |
Contents: | Part I: The Geometry of Statistical Models |
Statistical Models | |
Explicit Examples | |
Entropy on Statistical Models | |
KullbackLeibler Relative Entropy | |
Informational Energy | |
Maximum Entropy Distributions | |
Part II: Statistical Manifolds | |
An Introduction to Manifolds | |
Dualistic Structure | |
Dual Volume Elements | |
Dual Laplacians | |
Contrast Functions Geometry | |
Contrast Functions on Statistical Models | |
Statistical Submanifolds | |
Appendix A: Information Geometry Calculator | |
ISBN: | 9783319077796 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2014-9783319053653:ONLINE Show nearby items on shelf |
Title: | Progress in Industrial Mathematics at ECMI 2012 [electronic resource] |
Author(s): |
Magnus Fontes Michael Gnther Nicole Marheineke |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book contains the proceedings of the 17th European Conference on Mathematics for Industry, ECMI2012, held in Lund, Sweden, July 2012, at which ECMI celebrated its 25th anniversary. It covers mathematics in a wide range ofapplications and methods , from circuit and electromagnetic devices, environment, fibers, flow, medicine, robotics and automotive industry, further applications to methods and education. The book includes contributions from leadingfigures in business, science and academia who pro mote the application of mathematics to industry and emphasize industrial sectors that offer the most exciting opportunities. The contributions reinforce the role of mathematics as beinga catalyst for innovation as well as an overarching resource for indus try and business. The book features an accessible presentation of real-world problems in industry and finance, provides insight and tools for engineers andscientists which will help them to solve similar problems, and offers modeling and simulation techni ques that will provide mathematicians with a source of fresh ideas and inspiration |
Contents: | Preface |
25 Years of ECMI: A View Back to its Childhood | |
Part I Circuits and Electromagnetic Devices | |
Part II Environment | |
Part III Fibers | |
Part IV Flow | |
Part V Medicine | |
Part VI Robotics and Automotive Industry | |
Part VII Further Applications | |
Part VIII Methods | |
Part IX Education | |
ISBN: | 9783319053653 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics in Industry, 1612-3956 : v19 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial , Finance , Computer science Mathematics , Mathematical optimization |
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Call number: | SPRINGER-2014-9783319053202:ONLINE Show nearby items on shelf |
Title: | Contributions to Sampling Statistics [electronic resource] |
Author(s): |
Fulvia Mecatti Pier Luigi Conti Maria Giovanna Ranalli |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book contains a selection of the papers presented at the ITACOSM 2013 Conference, held in Milan in June 2013. ITACOSM is the bi-annual meeting of the Survey Sampling Group S2G of the Italian Statistical Society, intended asan international forum of scientific discussion on the developments of theory and application of survey sampling methodologies and applications in human and natural sciences. The book gathers research paperscarefully selected fromboth invited and contributed sessions of the co nference. The whole book appears to bearelevant contribution to various key aspects of sampling methodology and techniques it dealswith some hot topics in sampling theory, suchascalibration, quantile-regression and multiple frame surveys, and with innovat ive methodologies in important topics of both sampling theory and applications.Contributions cut across current sampling methodologies such as intervalestimation for complex samples, randomized responses, bootstrap, weighting, modeling, imputation, small area estimationand effective use of auxiliary information applications cover a wide and enlarging range of subjects in officialhousehold surveys, Bayesian networks for measurement error,auditing,business and economicsurveys, geostatistics and agricultural statistics. The book is an updated, high level reference addressed to researchers, professionalsand practitioners in many fields |
Contents: | 1 P.S. Kott: Calibration Weighting When Model and Calibration Variables Can Differ |
2 M. Pratesi: M | |
quantile small area models for measuring poverty at a local level | |
3 A.C. Singh | |
4 J.F. Beaumont: The Analysis of Survey Data using the Bootstrap | |
5 Y.G. Berger, O. De La Riva Torres: Empirical likelihood confidence intervals: an application to the EU | |
SILC household surveys | |
6 A. Bianchi, S. Biffignandi: Responsive design for economic data in mixedmode panels | |
7 P.M. Chiodini, M.Zenga: Comparing the efficiency of sample plans for symmetric and non | |
symmetric distributions in auditing | |
ISBN: | 9783319053202 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Contributions to Statistics, 1431-1968 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Mathematical statistics , Statistics , Social sciences Methodology |
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Call number: | SPRINGER-2014-9783319046754:ONLINE Show nearby items on shelf |
Title: | Geometry and its Applications [electronic resource] |
Author(s): |
Vladimir Rovenski Pawe Walczak |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups, andosculation the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for non-dynamical systems. This Work isbased on the second international workshop entitled Geom etry and Symbolic Computations, held on May 15-18, 2013 at the University of Haifa and is dedicated to modeling (using symbolic calculations) in differential geometry and itsapplications in fields such as computer science, tomography, and mechanics. It is intended to create a forum for students and researchers in pure and applied geometry to promote discussion of modern state-of-the-art in geometricmodeling using symbolic programs such as Maple and Mathematica, as well as presentation of new results. |
Contents: | Part I: Geometry |
The Ricci flow on some generalized Wallach spaces (N.A. Abiev, A. Arvanitoyeorgos, Y.G. Nikonorov, P. Siasos) | |
Gaussian mean curvature flow for submanifolds in space forms (A. Borisenko, V. Rovenski) | |
Cantor laminationsand exceptional minimal sets in codimension one foliations(G. Hector) | |
Integral formulas in foliations theory (K. Andrzejewski, P. Walczak, V. Rovenski) | |
On prescribing the mixed scalar curvature of a foliations (V. Rovenski, L. Zelenko) | |
The partial Ricci flow for foliations (V. Rovenski) | |
Osculation in general (P. Walczak) | |
On stability of | |
ISBN: | 9783319046754 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v72 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global differential geometry |
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Call number: | SPRINGER-2014-9783319029498:ONLINE Show nearby items on shelf |
Title: | Mathematical Models and Numerical Simulation in Electromagnetism [electronic resource] |
Author(s): |
Alfredo Bermdez Dolores Gmez Pilar Salgado |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations thatshould be solved in ord er to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electricengineering applications, going from the genera l to the specific, namely, from the full Maxwells equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standardexercises related to analytical calculus, the book includes some others orie nted to real-life applications solved with MaxFEM free simulation software |
Contents: | 1 The harmonic oscillator |
2 The Series RLC Circuit | |
3 Linear electrical circuits | |
4 Maxwells equations in free space | |
5 Some solutions of Maxwells equations in free space | |
6 Maxwells equations in material regions | |
7 Electrostatics | |
8 Direct current | |
9 Magnetostatics | |
10 The eddy currents model | |
11 An introduction to nonlinear magnetics. Hysteresis | |
12 Electrostatics with MaxFEM | |
13 Direct current with MaxFEM | |
14 Magnetostatics with MaxFEM | |
15 Eddy currents with MaxFEM | |
16 RLC circuits with MaxFEM | |
A Elements of graph theory | |
B Vector Calculus | |
C Fu | |
ISBN: | 9783319029498 |
Series: | eBooks |
Series: | SpringerLink |
Series: | UNITEXT, 2038-5714 : v74 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Magnetism , Computer engineering |
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Call number: | SPRINGER-2014-9783319028392:ONLINE Show nearby items on shelf |
Title: | Advances in Numerical Simulation in Physics and Engineering [electronic resource] : Lecture Notes of the XV 'Jacques-Louis Lions' Spanish-French School |
Author(s): |
Carlos Pars Carlos Vzquez Frdric Coquel |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book, based on the lecture notes from the XVth Spanish-French School on Numerical Simulation in Physics and Engineering, covers a range of advances in numerical simulation in physics and engineering. The main subjectsaddressed are: biomechanics, stochastic calculus, geophysical flow simulation, and shock-capturing numerical methods for hyperbolic systems of partial differential equations. The book is mainly aimed at young graduate students inmathematics, engineering, and natural sciences who are starting to confront numerical simulation, either at a research level or in the field of industrial applications. It will also be helpful for researchers or even technicians whoare working in an industrial environment and are interested in the state-of-t he-art numerical techniques in these fields. Finally, the book will be useful as a textbook for master's or PhD level courses in mathematics, physics, orengineering |
Contents: | 1 Begona Calvo and Estefania Pena: Fundamental aspects in modeling the constitutive behaviour of the fibered soft tissues |
2 Enrique D. Fernandez Nieto: Some remarks on avalanche modeling. An introduction to shallow flow models | |
3 Emmanuel Gobet: Introduction to stochastic calculus and to the resolution of PDEs using Monte Carlo simulations | |
4 Philippe G. LeFloch: Structure | |
preserving shock | |
capturing methods and applications | |
5 Carlos Castro: Numerical approximation of optimal design problems in aerodynamics. From the mathematical analysis to industrial codes | |
6Emanuele Schiavi: Me | |
ISBN: | 9783319028392 |
Series: | eBooks |
Series: | SpringerLink |
Series: | SEMA SIMAI Springer Series, 2199-3041 : v3 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geology , Computer vision , Differential equations, partial , Computer science Mathematics |
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Call number: | SPRINGER-2014-9783319026633:ONLINE Show nearby items on shelf |
Title: | The Mimetic Finite Difference Method for Elliptic Problems [electronic resource] |
Author(s): |
Loureno Beiro Veiga Konstantin Lipnikov Gianmarco Manzini |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity,magnetostatics and plate b ending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. Thebook provides a practical guide for those scient ists and engineers that are interested in the computational properties of the mimetic finite difference method such as the accuracy, stability, robustness, and efficiency. Many examplesare provided to help the reader to understand and implement this metho d. This monograph also provides the essential background material and describes basic mathematical tools required to develop further the mimetic discretizationtechnology and to extend it to various applications |
Contents: | 1 Model elliptic problems |
2 Foundations of mimetic finite difference method | |
3 Mimetic inner products and reconstruction operators | |
4 Mimetic discretization of bilinear forms | |
5 The diffusion problem in mixed form | |
6 The diffusion problem in primal form | |
7 Maxwells equations. 8. The Stokes problem. 9 Elasticity and plates | |
10 Other linear and nonlinear mimetic schemes | |
11 Analysis of parameters and maximum principles | |
12 Diffusion problem on generalized polyhedral meshes | |
ISBN: | 9783319026633 |
Series: | eBooks |
Series: | SpringerLink |
Series: | MS&A - Modeling, Simulation and Applications, 2037-5255 : v11 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Computer science Mathematics , Engineering mathematics |
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Call number: | SPRINGER-2014-9783319014272:ONLINE Show nearby items on shelf |
Title: | Multi-Band Effective Mass Approximations [electronic resource] : Advanced Mathematical Models and Numerical Techniques |
Author(s): |
Matthias Ehrhardt Thomas Koprucki |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book addresses several mathematical models from the most relevant class of kp-Schrdinger systems. Both mathematical models and state-of-the-art numerical methods for adequately solving the arising systems of differentialequations are presented. The operational principle of modern semiconductor nano structures, such as quantum wells, quantum wires or quantum dots, relies on quantum mechanical effects. The goal of numerical simulations using quantummechanical models in the development of semicondu ctor nano structures is threefold: First they are needed for a deeper understanding of experimental data and of the operational principle. Secondly, they allow us to predict and optimizein advance the qualitative and quantitative properties of new devices in order to minimize the number of prototypes needed. Semiconductor nano structures are embedded as an active region in semiconductor devices. Thirdly and finally,the results of quantum mechanical simulations of semiconductor nano structures can be used with upscaling methods to deliver parameters needed in semi-classical models for semiconductor devices, such as quantum well lasers. This bookcovers in detail all these three aspects using a variety of illustrative examples. Readers will gain detailed ins ights into the status of the multiband effective mass method for semiconductor nano structures. Both users of the kpmethod as well as advanced researchers who want to advance the kp method further will find helpful information on how to best work with thi s method and use it as a tool for characterizing the physical properties of semiconductor nanostructures. The book is primarily intended for graduate and Ph.D. students in applied mathematics, mathematical physics and theoretical physics, as well as all t hose working in quantum mechanical research or the semiconductor /opto-electronic industry who are interested in new mathematical aspects |
Contents: | Introduction |
Part I: Physical Models | |
Part II: Numerical Methods | |
Part III: Applications | |
Part IV: Advanced Mathematical Topics | |
ISBN: | 9783319014272 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Computational Science and Engineering, 1439-7358 : v94 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Computer science Mathematics , Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2014-9781493908080:ONLINE Show nearby items on shelf |
Title: | Optimization in Science and Engineering [electronic resource] : In Honor of the 60th Birthday of Panos M. Pardalos |
Author(s): |
Themistocles M Rassias Christodoulos A Floudas Sergiy Butenko |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Optimization in Science and Engineering is dedicated in honor of the 60th birthday of Distinguished Professor Panos M. Pardalos. Pardaloss past and ongoing work has made a significant impact on several theoretical and appliedareas in modern optimizat ion. As tribute to the diversity of Dr. Pardaloss work in Optimization, this book comprises a collection of contributions from experts in various fields of this rich and diverse area of science. Topicshighlight recent developments and include: Determinist ic global optimization Variational inequalities and equilibrium problems Approximation and complexity in numerical optimization Non-smooth optimization Statistical models and datamining Applications of optimization in medicine, energy systems, and complex network analysis This volume will be of great interest to graduate students, researchers, and practitioners, in the fields of optimization and engineering |
Contents: | Piecewise Linear Classifiers Based on Nonsmooth Optimization Approaches |
Variational Inequality Models Arising in the Study of Viscoelastic Materials | |
Neighboring Local Optimal Solutions and Its Applications | |
General Traffic Equilibrium Problem with Uncertainty and Random Variational Inequalities | |
Computational Complexities of Optimization Problems Related to Model Based Clustering of Networks | |
On Distributed | |
Lag Modeling Algorithms by r | |
Convexity and Piecewise Monotonicity | |
Poincar | |
Type Inequalities for Greens Operator on Harmonic Forms | |
The Robustness Concern in Preference | |
ISBN: | 9781493908080 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Computer science , Computer aided design , Mathematical optimization |
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Call number: | SPRINGER-2014-9781493904556:ONLINE Show nearby items on shelf |
Title: | Mathematical and Numerical Foundations of Turbulence Models and Applications [electronic resource] |
Author(s): |
Toms Chacn Rebollo Roger Lewandowski |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulencerequires tools from vario us scientific disciplines, including mathematics, physics, engineering, and computer science. Authored by two experts in the area with a long history of collaboration, this monograph provides a current,detailed look at several turbulence models from both the theoretical and numerical perspectives. The k-epsilon, large-eddy simulation, and other models are rigorously derived and their performance is analyzed using benchmarksimulations for real-world turbulent flows. Mathematical and Numerical Foundations o f Turbulence Models and Applications is an ideal reference for students in applied mathematics and engineering, as well as researchers in mathematicaland numerical fluid dynamics. It is also a valuable resource for advanced graduate students in fluid dyna mics, engineers, physical oceanographers, meteorologists, and climatologists |
Contents: | Introduction |
Incompressible Navier | |
Stokes Equations | |
Mathematical Basis of Turbulence Modeling | |
The k Model | |
Laws of the Turbulence by Similarity Principles | |
Steady Navier | |
Stokes Equations with Wall Laws and Fixed Eddy Viscosities | |
Analysis of the Continuous Steady NS | |
TKE Model | |
Evolutionary NS | |
TKE Model | |
Finite Element Approximation of Steady Smagorinsky Model | |
Finite Element Approximation of Evolution Smagorinsky Model | |
A Projection | |
based Variational Multi | |
Scale Model | |
Numerical Approximation of NS | |
TKE Model | |
Numerical Experiments | |
Appendix A: Tool Box | |
ISBN: | 9781493904556 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Modeling and Simulation in Science, Engineering and Technology, 2164-3679 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Numerical analysis , Hydraulic engineering |
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Call number: | SPRINGER-2014-9781461479000:ONLINE Show nearby items on shelf |
Title: | XML and Web Technologies for Data Sciences with R [electronic resource] |
Author(s): |
Deborah Nolan Duncan Temple Lang |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Web technologies are increasingly relevant to scientists working with data, for both accessing data and creating rich dynamic and interactive displays. The XML and JSON data formats are widely used in Web services, regular Webpages and JavaScript cod e, and visualization formats such as SVG and KML for Google Earth and Google Maps. In addition, scientists use HTTP and other network protocols to scrape data from Web pages, access REST and SOAP Web Services,and interact with NoSQL databases and text sea rch applications. This book provides a practical hands-on introduction to these technologies, including high-level functions the authors have developed for data scientists. It describesstrategies and approaches for extracting data from HTML, XML, and JSON formats and how to programmatically access data from the Web. Along with these general skills, the authors illustrate several applications that are relevant todata scientists, such as reading and writing spreadsheet documents both locally and via GoogleD ocs, creating interactive and dynamic visualizations, displaying spatial-temporal displays with Google Earth, and generating code fromdescriptions of data structures to read and write data. These topics demonstrate the rich possibilities and opportunities to do new things with these modern technologies. The book contains many examples and case-studies thatreaders can use directly and adapt to their own work. The authors have focused on the integration of these technologies with the R statistical computing environment. However, the ideas and skills presented here are more general,and statisticians who use other computing environments will also find them relevant to their work. Deborah Nolan is Professor of Statistics at University of California, Berkeley. Duncan Temple Lang is Associate Professor of Statisticsat University of California, Davis and has been a member of both the S and R development teams |
Contents: | Data Formats XML and JSON |
Web Technologies, Getting Data from the Web | |
General XML Application Areas | |
Bibliography | |
General Index | |
R Function and Parameter Index | |
R Package Index | |
R Class Index | |
Colophon | |
ISBN: | 9781461479000 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Use R!, 2197-5736 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer science , Mathematical statistics |
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Call number: | SPRINGER-2014-9781447164616:ONLINE Show nearby items on shelf |
Title: | Future Vision and Trends on Shapes, Geometry and Algebra [electronic resource] |
Author(s): |
Raffaele Amicis Giuseppe Conti |
Date: | 2014 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Mathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within acomputer science framework . Apart from the algebraic geometry topics covered, the entire book is based on the unifying concept of using algebraic techniques properly specialized to solve geometric problems to seriously improveaccuracy, robustness and efficiency of CAD-systems. I t provides new approaches as well as industrial applications to deform surfaces when animating virtual characters, to automatically compare images of handwritten signatures, and toimprove control of NC machines. This book further introduces a noteworthy r epresentation based on 2D contours, which is essential to model the metal sheet in industrial processes. It additionally reviews applications of numericalalgebraic geometry to differential equations systems with multiple solutions and bifurcations. Future Vision and Trends on Shapes, Geometry and Algebra is aimed specialists in the area of mathematics and computer science on the onehand and on the other hand at those who want to become familiar with the practical application of algebraic geometry and geom etric modelling such as students, researchers, and doctorates |
Contents: | Introduction |
Future Shape Modelling Scenarios | |
A Hilbert | |
Driven Strategy for Signature | |
based Grbner Basis Algorithms | |
Numerical Algebraic Geometry and Differential Equations | |
Sparse Discriminants and Applications | |
Parametrization of the Bisector of Two Low Degree Surfaces | |
Computer Aided Algebraic Geometry: Constructing Surfaces of Genus Zero | |
Elastic Bone Transformation for Realistic Facial Animation in Web GL | |
Geometric Features for Hand | |
Written Signatures | |
Using 2D Contours to Model Metal Sheets in Industrial Machining Processes | |
The Case for Scripted Process Design a | |
ISBN: | 9781447164616 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v84 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Field theory (Physics) , Algorithms , Geometry |
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Call number: | SPRINGER-2013-9783642341410:ONLINE Show nearby items on shelf |
Title: | Innovations for Shape Analysis [electronic resource] : Models and Algorithms |
Author(s): |
Michael Breu Alfred Bruckstein Petros Maragos |
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: | The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volumereflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow dataprocessing within an acceptable timeframe. Examin ing important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is athorough introduction to the latest technology, especially given the tuto rial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology,skeletonization, statistical shape modeling, continuous-scale shape models such as partial differ ential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons,multi-component shapes, deformable shape models, and the use of distance fields. Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers |
Note: | Springer eBooks |
Contents: | Part I Discrete Shape Analysis: 1 Modeling Three |
Dimensional Morse and Morse | |
Smale Complexes by L. omi et al | |
2 Geodesic Regression and its Application to Shape Analysis by P.Th.Fletcher | |
3 Segmentation and Skeletonization on Arbitrary Graphs Using Multiscale Morphology and Active Contours by P.Maragos and K.Drakopoulos | |
4 Refined Homotopic Thinning Algorithms and Quality Measures for Skeletonisation Methods by P.Peter and M.Breu | |
5 Nested Sphere Statistics of Skeletal Models by S.M.Pizer et al | |
6 3D Curve Skeleton Computation and Use for Discrete Shape Analysis by G.Sanniti di | |
ISBN: | 9783642341410 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Visualization, 1612-3786 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer vision , Computer science Mathematics , Visualization |
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Call number: | SPRINGER-2013-9783642339110:ONLINE Show nearby items on shelf |
Title: | Fractional Derivatives for Physicists and Engineers [electronic resource] : Background and Theory |
Author(s): |
Vladimir V Uchaikin |
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: | The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? Thetwo-volume book written on hig h didactic level answers these questions. Fractional Derivatives for Physicists and Engineers The first volume contains a clear introduction into such a modern branch of analysis as the fractionalcalculus. The second develops a wide panorama of applicatio ns of the fractional calculus to various physical problems. This book recovers new perspectives in front of the reader dealing with turbulence and semiconductors, plasma andthermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The bo ok is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numericalsimulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular. Prof. Vladimir V. UCHAIKIN is a known Russian scientist and pedagogue, a Honored Worker of Russian High School,a member of the Russian Academy of Natural Sciences. He is the author of about three hundreds articles and more than a dozen books (mostly in Russian) in Cosmic ray physics, Mathematical physics, Levy stable statistics, Monte Carlomethods with applications to anomalous processes in complex systems of various levels: from quantum dots to the Milky Way galaxy |
Note: | Springer eBooks |
Contents: | Physical Basics |
Fractional Derivatives | |
Fractional Equations | |
Applications | |
Mechanics | |
Kinetics | |
Electrodynamics | |
Atomic Physics | |
Space Physics | |
ISBN: | 9783642339110 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Nonlinear Physical Science, 1867-8440 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Computer science Mathematics |
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Call number: | SPRINGER-2013-9783642332876:ONLINE Show nearby items on shelf |
Title: | The Finite Element Method: Theory, Implementation, and Applications [electronic resource] |
Author(s): |
Mats G Larson Fredrik Bengzon |
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 book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlyingmathematical principl es, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functionalanalysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessaryconcepts from more advanced analysis are introduced when needed. Thro ughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numericalsoftware MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion andtransport phenomena, solid and fluid mechanics, and also electromagnetics. |
Note: | Springer eBooks |
Contents: | 1. Piecewise Polynomial Approximation in 1D |
2. The Finite Element Method in 1D | |
3. Piecewise Polynomial Approximation in 2D | |
4. The Finite Element Method in 2D | |
5. Time | |
dependent Problems | |
6. Solving Large Sparse Linear Systems | |
7. Abstract Finite Element Analysis | |
8. The Finite Element | |
9. Non | |
linear Problems | |
10. Transport Problems | |
11. Solid Mechanics | |
12. Fluid Mechanics | |
13. Electromagnetics | |
14. Discontinuous Galerkin Methods | |
A. Some Additional Matlab Code | |
References | |
ISBN: | 9783642332876 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v10 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer aided design , Differential equations, partial , Computer science Mathematics , Computer science , Mechanics, applied |
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Call number: | SPRINGER-2013-9783642324604:ONLINE Show nearby items on shelf |
Title: | Traffic Flow Dynamics [electronic resource] : Data, Models and Simulation |
Author(s): |
Martin Treiber Arne Kesting |
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 textbook provides a comprehensive and instructive coverage of vehicular traffic flow dynamics and modeling. It makes this fascinating interdisciplinary topic, which to date was only documented in parts by specializedmonographs, accessible to a b road readership. Numerous figures and problems with solutions help the reader to quickly understand and practice the presented concepts. This book is targeted at students of physics and traffic engineeringand, more generally, also at students and professi onals in computer science, mathematics, and interdisciplinary topics. It also offers material for project work in programming and simulation at college and university level. The mainpart, after presenting different categories of traffic data, is devoted t o a mathematical description of the dynamics of traffic flow, covering macroscopic models which describe traffic in terms of density, as well as microscopicmany-particle models in which each particle corresponds to a vehicle and its driver.Focus chapters on traffic instabilities and model calibration/validation present these topics in a novel and systematic way.Finally, thetheoretical framework is shown at work in selected applications such as traffic-state and travel-time estimation, intelligent transpor tation systems, traffic operations management, and a detailed physics-based model for fuelconsumption and emissions |
Note: | Springer eBooks |
Contents: | Introduction |
Part I Traffic Data: Trajectroy and Floating | |
Car Data | |
Cross | |
Sectional Data | |
Representations of Cross | |
Sectional Data | |
Spatiotemporal Reconstruction of the Traffic State | |
Part II Traffic Flow Modeling: General Aspects | |
Continuity Equation | |
The Lighthill | |
Whitham | |
Richards Model | |
Macroscopic Models with Dynamic Velocity | |
Elementary Car | |
Following Models | |
Car | |
Following Models based on Driving Strategies | |
Modeling Human Aspects of Driving Behavior | |
Cellular Automata | |
Lane | |
Changing and other Discrete | |
Choice Situations | |
Stability Analysis | |
Calibration and Val | |
ISBN: | 9783642324604 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical optimization , Engineering , Operations research |
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Call number: | SPRINGER-2013-9783642322785:ONLINE Show nearby items on shelf |
Title: | Graphs, Networks and Algorithms [electronic resource] |
Author(s): |
Dieter Jungnickel |
Date: | 2013 |
Edition: | 4th 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: | From the reviews of the previous editions .... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, andresearchers in this area. The aut hor finds a striking synthesis of nice and interesting mathematical results and practical applications. ... the author pays much attention to the inclusion of well-chosen exercises. The reader does notremain helpless solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. ... K.Engel, Mathematical Reviews 2002 The substantial developmenteffort of this text, involving multiple editions and trailing in the context of various workshops, university courses and seminar series, clearly shows through in this new edition with its clear writing, good organisation,comprehensive coverage of essential theory, and well-chosen applications. The proofs of important results and the representation of key algorithms in a Pascal-like notation allow this book to be used in a high-level undergraduate orlow-level graduate course on graph theory, combinatorial optimization or computer science algorithms. The well-worked solutions to ex ercises are a real bonus for self study by students. The book is highly recommended. P .B. Gibbons,Zentralblatt fr Mathematik2005 Once again, the new edition has been thoroughly revised. In particular, some further material has been added: more on NP-comp leteness (especially on dominating sets), a section on the Gallai-Edmondsstructure theory for matchings, and about a dozen additional exercises as always, with solutions. Moreover, the section on the 1-factor theorem has been completely rewritten: it now presents a short direct proof for the moregeneral Berge-Tutte formula. Several recent research developments are discussed and quite a few references have been added |
Note: | Springer eBooks |
Contents: | Prefaces |
Basic Graph Theory | |
Algorithms and Complexity | |
Shortest Paths | |
Spanning Trees | |
The Greedy Algorithm | |
Flows | |
Combinatorial Applications | |
Connectivity and Depth First Search | |
Colorings | |
Circulations | |
The Network Simplex Algorithm | |
Synthesis of Networks | |
Matchings | |
Weighted Matchings | |
A Hard Problem: The TSP | |
Appendix A: Some NP | |
Complete Problems | |
Appendix B: Solutions | |
Appendix C: List of Symbols | |
References | |
Index | |
ISBN: | 9783642322785 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Algorithms and Computation in Mathematics, 1431-1550 : v5 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Combinatorics , Mathematical optimization |
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Call number: | SPRINGER-2013-9783642317941:ONLINE Show nearby items on shelf |
Title: | Foundations of Geometric Algebra Computing [electronic resource] |
Author(s): |
Dietmar Hildenbrand |
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: | The author defines Geometric Algebra Computing as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay thefoundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometricalgebra as a 5D extension of the 4D projective geometric alg ebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometricalgebra to applications in computer vision, computer graphics, and robotics. This book is organized into three parts: in Part I the author focuses on the mathematical foundations in Part II he explains the interactive handling ofgeometric algebra and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book iswritten in a tutorial style and readers should gain experience with the associated freely available software packages and applications. The book is suitable for students, engineers, and researchers in computer science, computationalengineering, and mathematics |
Note: | Springer eBooks |
Contents: | Chap. 1 Introduction |
Chap. 2 Mathematical Introduction | |
Chap. 3 The Conformal Geometric Algebra | |
Chap. 4 Maple and the Identification of Quaternions and Other Algebras | |
Chap. 5 Fitting of Planes or Spheres into Point Sets | |
Chap. 6 Geometric Algebra Tutorial Using CLUCalc | |
Chap. 7 Inverse Kinematics of a Simple Robot | |
Chap. 8 Robot Grasping an Object | |
Chap. 9 Efficient Computer Animation Application in CGA | |
Chap. 10 Using Gaalop for Performant Geometric Algebra Computing | |
Chap. 11 Collision Detection Using the Gaalop Precompiler | |
Chap. 12 Gaalop Precompiler for GPGPUs | |
ISBN: | 9783642317941 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Geometry and Computing, 1866-6795 : v8 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Computer science , Computer vision , Geometry , Engineering mathematics |
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Call number: | SPRINGER-2013-9783642317033:ONLINE Show nearby items on shelf |
Title: | Sparse Grids and Applications [electronic resource] |
Author(s): |
Jochen Garcke Michael Griebel |
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 the recent decade, there has been a growing interest in the numerical treatment of high-dimensional problems. It is well known that classical numerical discretization schemes fail in more than three or four dimensions due tothe curse of dimensiona lity. The technique of sparse grids helps overcome this problem to some extent under suitable regularity assumptions. This discretization approach is obtained from a multi-scale basis by a tensor productconstruction and subsequent truncation of the result ing multiresolution series expansion. This volume of LNCSE is a collection of the papers from the proceedings of the workshop on sparse grids and its applications held in Bonn in May2011. The selected articles present recent advances in the mathematical u nderstanding and analysis of sparse grid discretization. Aspects arising from applications are given particular attention. |
Note: | Springer eBooks |
ISBN: | 9783642317033 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Computational Science and Engineering, 1439-7358 : v88 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Computer science Mathematics |
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Call number: | SPRINGER-2013-9783642309045:ONLINE Show nearby items on shelf |
Title: | Advances in Network Analysis and its Applications [electronic resource] |
Author(s): |
Evangelos Kranakis |
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: | As well as highlighting potentially useful applications for network analysis, this volume identifies new targets for mathematical research that promise to provide insights into network systems theory as well as facilitating thecross-fertilization of ideas between sectors. Focusing on financial, security and social aspects of networking, the volume adds to the growing body of evidence showing that network analysis has applications to transportation,communication, health, finance, and social policy mor e broadly. It provides powerful models for understanding the behavior of complex systems that, in turn, will impact numerous cutting-edge sectors in science and engineering, such aswireless communication, network security, distributed computing and social networking, financial analysis, and cyber warfare. The volume offers an insider' s view of cutting-edge research in network systems, including methodologieswith immense potential for interdisciplinary application. The contributors have all presented mate rial at a series of workshops organized on behalf of Canadas MITACS initiative, which funds projects and study grants inmathematics for information technology and complex systems. These proceedings include papers from workshops on financial networks, netw ork security and cryptography, and social networks. MITACS has shown that the partlyghettoized nature of network systems research has led to duplicated work in discrete fields, and thus this initiative has the potential to save time and accelerate the pac e of research in a number of areas of network systemsresearch |
Note: | Springer eBooks |
Contents: | FINANCIAL NETWORKS: 1. Mathematical modeling of systemic risk: H. Amini, A. Minca |
2. Systemic risk in banking networks without Monte Carlo simulation: J. P. Gleeson, T. R. Hurd, S. Melnik, A. Hackett | |
3. Systemic Valuation of Banks Interbank Equilibrium and Contagion: G. Haaj | |
4. An Open Problem: J. B. Walsh | |
II SECURITY NETWORKS: 5. Dynamic Trust Management: Network Profiling for High Assurance Resilience: M. Burmester , W. O. Redwood | |
6. Security Issues in Link State Routing Protocols for MANETs: G.Cervera, M.Barbeau, J. Garcia | |
Alfaro, E.Kranakis | |
7. TCHo: a Code | |
bas | |
ISBN: | 9783642309045 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics in Industry, 1612-3956 : v18 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer Communication Networks , Bioinformatics , Computer engineering , Industrial organization (Economic theory) |
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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-2013-9783642280214:ONLINE Show nearby items on shelf |
Title: | Scientific Computing and Cultural Heritage [electronic resource] : Contributions in Computational Humanities |
Author(s): |
Hans Georg Bock Willi Jger Michael J Winckler |
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: | The sheer computing power of modern information technology is changing the face of research not just in science, technology and mathematics, but in humanities and cultural studies too. Recent decades have seen a major shift bothin attitudes and deplo yment of computers, which are now vital and highly effective tools in disciplines where they were once viewed as elaborate typewriters. This revealing volume details the vast array of computing applications thatresearchers in the humanities now have recou rse to, including the dissemination of scholarly information through virtual co-laboratories, data retrieval, and the modeling of complex processes that contribute to our natural andcultural heritage. One key area covered in this book is the versatility o f computers in presenting images and graphics, which is transforming the analysis of data sets and archaeological reconstructions alike. The papers publishedhere are grouped into three broad categories that cover mathematical and computational methods, r esearch developments in information systems, and a detailed portrayal of ongoing work on documenting, restoring and presenting culturalmonuments including the temples in Pompeii and the Banteay Chhmar temples of the Angkorian period in present-day Cambodi a. Originally presented at a research workshop in Heidelberg, Germany, they reflect the rapidly developing identityof computational humanities as an interdisciplinary field in its own right, as well as demonstrating the breadth of perspectives in this you ng and vibrant research area |
Note: | Springer eBooks |
Contents: | I. Development of Scientific Computing Methods |
II. Information | |
Based Research | |
III. Case Studies & Applications | |
ISBN: | 9783642280214 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Contributions in Mathematical and Computational Sciences, 2191-303X : v3 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Information systems , Architecture |
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Call number: | SPRINGER-2013-9783034806312:ONLINE Show nearby items on shelf |
Title: | Control and Optimization with PDE Constraints [electronic resource] |
Author(s): |
Kristian Bredies Christian Clason Karl Kunisch Gregory Winckel |
Date: | 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control andoptimization. This book pres ents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists addresscurrent topics such as non-smooth optimization, Hamilt onJacobiBellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretizationerror estimates for optimal control problems, and control of quantum-dynamical system s. These contributions originate from the International Workshop on Control and Optimization of PDEs in Mariatrost in October 2011. This book isan excellent resource for students and researchers in control or optimization of differential equations. Reader s interested in theory or in numerical algorithms will find this book equally useful |
Note: | Springer eBooks |
Contents: | Preface |
An Adaptive POD Approximation Method for the Control of Advection | |
Diffusion Equations (A. Alla and M. Falcone) | |
Generalized Sensitivity Analysis for Delay Differential Equations (H. T. Banks, D. Robbins and K. L. Sutton) | |
Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time | |
Fractional Derivatives (S. Beckers and M. Yamamoto) | |
Nonsmooth Optimization Method and Sparsity (K. Ito) | |
Parareal in Time Intermediate Targets Methods for Optimal Control Problem (Y. Maday, M | |
K. Riahi and J. Solomon) | |
HamiltonJacobiBellman Equations on Mu | |
ISBN: | 9783034806312 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series of Numerical Mathematics : v164 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Computer science Mathematics , Numerical analysis , Mathematical optimization |
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Call number: | SPRINGER-2013-9783034805131:ONLINE Show nearby items on shelf |
Title: | Nonlinear Partial Differential Equations with Applications [electronic resource] |
Author(s): |
Tom Roubek |
Date: | 2013 |
Edition: | 2nd ed. 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-)monotone or accretive oper ators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media,modelling of biological systems, or in mechani cal engineering. Selected parts aremainly an introduction into the subject while some others form an advanced textbook. Thesecond edition simplifies and extends the exposition atparticular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equationsor in mathematical modelling of distributed parameter systems. ------ The monograph contains a w ealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concreteapplications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well d one, and the presentation, although concise, is clear, elegant and rigorous. () this book is a notableaddition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the ana lysis of (...) nonlinear differential models of the real world. (MathematicalReviews) |
Note: | Springer eBooks |
Contents: | Preface |
Preface to the 2nd edition | |
Notational conventions | |
1 Preliminary general material | |
I Steady | |
state problems | |
2 Pseudomonotone or weakly continuous mappings | |
3 Accretive mappings | |
4 Potential problems: smooth case | |
5 Nonsmooth problems variational inequalities | |
6. Systems of equations: particular examples | |
II Evolution problems | |
7 Special auxiliary tools | |
8 Evolution by pseudomonotone or weakly continuous mappings | |
9 Evolution governed by accretive mappings | |
10 Evolution governed by certain set | |
valued mappings | |
11 Doubly | |
nonlinear problems | |
12 Systems o | |
ISBN: | 9783034805131 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series of Numerical Mathematics : v153 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Differential equations, partial , Computer science Mathematics , Numerical analysis |
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Call number: | SPRINGER-2013-9783034802376:ONLINE Show nearby items on shelf |
Title: | The Tower of Hanoi Myths and Maths [electronic resource] |
Author(s): |
Andreas M Hinz Sandi Klavar Uro Milutinovi Ciril Petr |
Date: | 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is the first comprehensive monograph on the mathematical theory of the solitaire game The Tower of Hanoi which was invented in the 19th century by the French number theorist douard Lucas. The book comprises a surveyof the historical development from the games predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-containedpresentation of the essential mathematical facts with comple te proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpiski graphs. Acknowledging the greatpopularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics,network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the Tower of London, are addressed. Numerous captivating integer sequences arise along the way, but also many open questions imposethemselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical e xperiments supporting its truth, it remains unsettled after more than 70 years and thus demonstratesthe timeliness of the topic. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exer cises as well as problems for further exploration, this book is enjoyablereading for students, educators, game enthusiasts and researchers alike |
Note: | Springer eBooks |
Contents: | Foreword by Ian Stewart |
Preface | |
0 The Beginning of the World | |
1 The Chinese Rings | |
2 The Classical Tower of Hanoi | |
3 Lucass Second Problem | |
4 Sierpinski Graphs | |
5 The Tower of Hanoi with More Pegs | |
6 Variations of the Puzzle | |
7 The Tower of London | |
8 Tower of Hanoi Variants with Oriented Disc Moves | |
9 The End of the World | |
A Hints and Solutions to Exercises | |
Glossary | |
Bibliography | |
Name Index | |
Subject Index | |
Symbol Index | |
ISBN: | 9783034802376 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer software , Sequences (Mathematics) , Combinatorics |
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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-2013-9781461481188:ONLINE Show nearby items on shelf |
Title: | Lectures on Sphere Arrangements the Discrete Geometric Side [electronic resource] |
Author(s): |
Kroly Bezdek |
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: | This monograph gives a short introduction to parts of modern discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate andearly graduate stude nts, as well as interested researchers. It contains 30 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for aone-semester advanced undergraduate or grad uate level course. The core of this book is based on three lectures given by the author at the Fields Institute during the thematic program on Discrete Geometry and Applications andcontains four basic topics. The first two deal with active areas that hav e been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection tonumber theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The thirdmajor topic can be found under the sections on ball-polyhedra that study the possibility of extending the theory of co nvex polytopes to the family of intersections of congruent balls. This section of the text is connected in many waysto the above-mentioned major topics as well as to some other important research areas such as that on coverings by planks (with close ties to geometric analysis). The fourth basic topic is discussed under covering balls by cylinders. |
Note: | Springer eBooks |
Contents: | 1. Unit Sphere Packings |
2. Proofs on Unit Sphere Packings | |
3. Contractions of Sphere Arrangements | |
4. Proofs on Contractions of Sphere Arrangements | |
5. Ball | |
Polyhedra and Spindle Convex Bodies | |
6. Proofs on Ball | |
Polyhedra and Spindle Convex Bodies | |
7. Coverings by Cylinders | |
8. Proofs on Coverings by Cylinders | |
9. Research Problems | |
an Overview | |
Glossary | |
References | |
ISBN: | 9781461481188 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fields Institute Monographs, 1069-5273 : v32 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Discrete groups |
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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-2013-9781461475514:ONLINE Show nearby items on shelf |
Title: | Surrogate-Based Modeling and Optimization [electronic resource] : Applications in Engineering |
Author(s): |
Slawomir Koziel Leifur Leifsson |
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: | Contemporary engineering design is heavily based on computer simulations. Accurate, high-fidelity simulations are used not only for design verification but, even more importantly, to adjust parameters of the system to have it meetgiven performance re quirements. Unfortunately, accurate simulations are often computationally very expensive with evaluation times as long as hours or even days per design, making design automation using conventional methodsimpractical. These and other problems can be allevi ated by the development and employment of so-called surrogates that reliably represent the expensive, simulation-based model of the system or device of interest but they are much morereasonable and analytically tractable. This book is about surrogate-bas ed modeling and optimization techniques, and their applications for solving difficult and computationally expensive engineering design problems. It beginsbypresentingthe basic concepts and formulations of the surrogate-based modeling and optimization para digm and thendiscusses relevant modeling techniques, optimization algorithms and design procedures, as well as state-of-the-artdevelopments. The chapters are self-contained with basic concepts and formulations along with applications and examples. The boo k will be useful toresearchers in engineering and mathematics, in particular those who employcomputationally heavy simulations in their design work |
Note: | Springer eBooks |
Contents: | Space Mapping for Electromagnetic |
Simulation | |
Driven Design Optimization, Slawomir Koziel, Leifur Leifsson, and Stanislav Ogurtsov | |
Surrogate | |
Based Circuit Design Centering, Abdel | |
Karim S.O. Hassan and Ahmed S.A. Mohamed | |
Simulation | |
Driven Antenna Design Using Surrogate | |
Based Optimization, Slawomir Koziel, Stanislav Ogurtsov, and Leifur Leifsson | |
Practical Application of Space Mapping Techniques to the Synthesis of CSRR | |
based Artificial Transmission Lines, Ana Rodrguez, Jordi Selga, Ferran Martn and Vicente E. Boria | |
The Efficiency of Difference Mapping on Space Mapping Based Optimi | |
ISBN: | 9781461475514 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Mathematical optimization , Astronautics |
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Call number: | SPRINGER-2013-9781461468684:ONLINE Show nearby items on shelf |
Title: | Seamless R and C++ Integration with Rcpp [electronic resource] |
Author(s): |
Dirk Eddelbuettel |
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: | Rcpp is the glue that binds the power and versatility of R with the speed and efficiency of C++. With Rcpp, the transfer of data between R and C++ is nearly seamless, and high-performance statistical computing is finallyaccessible to most R users. Rc pp should be part of every statistician's toolbox. Michael Braun, MIT Sloan School of Management Seamless R and C++ Integration with Rcpp is simply a wonderful book. For anyone who uses C/C++and R, it is an indispensable resource. The writing is outstandi ng. A huge bonus is the section on applications. This section covers the matrix packages Armadillo and Eigen and the GNU Scientific Library as well as RInside whichenables you to use R inside C++. These applications are what most of us need to know to rea lly do scientific programming with R and C++. I love this book. Robert McCulloch, University of Chicago Booth School of Business Rcpp isnow considered an essential package for anybody doing serious computational research using R. Dirk's book is an excelle nt companion and takes the reader from a gentle introduction to more advanced applications via numerous examples andefficiency enhancing gems. The book is packed with all you might have ever wanted to know about Rcpp, its cousins (RcppArmadillo, RcppEigen etc.), modules, package development and sugar. Overall, this book is a must-have on yourshelf. Sanjog Misra, UCLA Anderson School of Management The Rcpp package represents a major leap forward for scientific computations with R. With very few lines of C+ + code, one has R's data structures readily at hand for furthercomputations in C++. Hence, high-level numerical programming can be made in C++ almost as easily as in R, but often with a substantial speed gain. Dirk is a crucial person in these development s, and his book takes the reader from thefirst fragile steps on to using the full Rcpp machinery. A very recommended book! Sren Hjsgaard, Department of Mathematical S |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
A Gentle Introduction to Rcpp | |
Tools and Setup | |
Core Data Types | |
Data Structures: Part One | |
Data Structures: Part Two | |
Advanced Topics | |
Using Rcpp in your package | |
Extending Rcpp | |
Modules | |
Sugar | |
Applications | |
RInside | |
RcppArmadillo | |
RcppGSL | |
RcppEigen Appendix | |
C++ for R programmers | |
Indices | |
References | |
ISBN: | 9781461468684 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Use R! : v64 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer science , Mathematical statistics |
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Location: | ONLINE |
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