Format: Hardback, height x width: 254x178 mm, 75 Tables, color; 75 Illustrations, color; Approx. 300 p. 75 illus. in color.
Pub. Date: 30-Oct-2023
ISBN-13: 9783031411991
This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems. It serves as a primary source for practicing and developing mathematical skills and techniques that will be essential in future studies and engineering practice. Rigor and mathematical formalism is drastically reduced, while the main focus is on developing practical skills and techniques for solving mathematical problems, given in forms typically found in engineering and science. These practical techniques cover the subjects of algebra, complex algebra, linear algebra, and calculus of single and multiple argument functions. In addition, the second part of the book covers problems on Convolution and Fourier integrals/sums of typical functions used in signal processing.
Offers a large collection of progressively more sophisticated mathematical problems on main mathematical topics required for engineers/scientists;
Provides, at the beginning of each topic, a brief review of definitions and formulas that are about to be used and practiced in the following problems;
Includes tutorial-style, complete solutions, to all problems.
Basic Number Theory.- Polynomials.- Linear Equations and Inequalities.-
Exponential and Logarithmic Functions.- Trigonometry.- Complex Algebra.-
Linear Algebra.- Limits.- Derivatives.- Function Analysis.- Integrals.-
Multivariable Functions.- Complex Functions in Engineering and Science.-
Differential Equations.- Special Functions.- Convolution Integral.- Series.-
Discrete Convolution Sum.- Fourier Integral.- Discrete Fourier Integral.
Format: Hardback, height x width: 235x155 mm, Approx. 300 p.,
Series: Contributions to Statistics
Pub. Date: 05-Nov-2023
ISBN-13: 9783031402081
This book presents the latest developments in the theory and applications of time series analysis and forecasting. Comprising a selection of refereed papers, it is divided into several parts that address modern theoretical aspects of time series analysis, forecasting and prediction, with applications to various disciplines, including econometrics and energy research. The broad range of topics discussed, including matters of particular relevance for sustainable development, will give readers a modern perspective on the subject.
The included contributions were originally presented at the 8th International Conference on Time Series and Forecasting, ITISE 2022, held in Gran Canaria, Spain, June 27-30, 2022. The ITISE conference series provides a forum for scientists, engineers, educators and students to discuss the latest advances and implementations in the foundations, theory, models and applications of time series analysis and forecasting. It focuses on interdisciplinary research encompassing computer science, mathematics, statistics and econometrics.
Theoretical Aspects of Time Series.- Econometrics.- Time Series Analysis
Applications.- Time Series Forecasting.- Time Series Forecasting.
Format: Hardback, 320 pages, height x width: 235x155 mm, 10 Illustrations, black and white; X, 320 p. 10 illus., 1 Hardback
Series: Springer INdAM Series 57
Pub. Date: 14-Oct-2023
ISBN-13: 9789819958931
This book is the first volume that provides an unique overview of the most recent and relevant contributions in the field of mathematical physics with a focus on the mathematical features of quantum mechanics. It is a collection of review papers together with brand new works related to the activities of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)", which took place at the Politecnico di Milano in Spring 2022 at Politecnico di Milano. The range of topics covered by the book is wide, going ranging from many-body quantum mechanics to semiclassical analysis, quantum field theory, Schroedinger and Dirac operators and open quantum systems
Chapter
1. Introduction.
Chapter
2. Many-Body Quantum Mechanics.-
Chapter
3. Two Comments on the Derivation of the Time-Dependent Hartree-Fock
Equation.
Chapter
4. Bogoliubov Theory for Ultra Dilute Bose Gases.
Chapter
5. Derivation of the Ginzburg-Landau Theory for Interacting Fermions in a
Trap.
Chapter
6. Energy expansions for dilute Bose gases from local
condensation results: a review of known results.
Chapter
7. Bogoliubov
theory for the dilute Fermi gas in three dimensions.
Chapter
8. Uniform in
Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose
Gas with External Potentials.
Chapter
9. Trial states for Bose gases:
singular scalings and non-integrable potentials.
Chapter
10. Bogoliubov
Transformations Beyond Shale-Stinespring: Generic v* v for bosons.
Chapter
11. Thermodynamic Game and The Kac Limit in Quantum Lattices.
Chapter
12.
Topological Polarization in disordered systems.
Chapter
13. Open Quantum
Systems.
Chapter
14. On the Asymptotics Dynamics of Open Quantum Systems.-
Chapter
15. Boson quadratic GKLS generators.
Chapter
16. Semiclassical
Analysis.
Chapter
17. Some Remarks on Semiclassical Analysis on Two-Steps
Nilmanifolds.
Chapter
18. Waves in a Random Medium: Endpoint Strichartz
Estimates and Number Estimates.
Chapter
19. Quasi-Classical Spin Boson
Models.
Chapter
20. On the Semiclassical Regularity of Thermal Equilibria.-
Chapter
21. Invariant measures as probabilistic tools in the analysis of
nonlinear ODEs & PDEs.
Chapter
22. Quantum Field Theory.
Chapter
23. An
Evolution Equation Approach to Linear Quantum Field Theory.
Chapter
24.
Renormalization of spin-boson interactions mediated by singular form
factors:The Casimir-Polder effect for an approximate Pauli-Fierz model: the
atom plus wall case.
Chapter
25. Dynamical Systems Involving
Pseudo-Fermionic Operators and Generalized Quaternion Groups.
Chapter
26.
Schroedinger and Dirac Operators.
Chapter
27. Spectral Asymptotics for
Two-dimensional Dirac Operators in Thin Waveguides.
Chapter
28. Quadratic
forms for Aharonov-Bohm Hamiltonians.
Chapter
29. On the magnetic Laplacian
with a piecewise constant magnetic field in R3+.
Chapter
30. Quantum Systems
at The Brink.
Chapter
31. Lowest Eigenvalue Asymptotics in Strong Magnetic
Fields with Interior Singularities.
Chapter
32. Some Remarks on the
Regularized Hamiltonian for Three Bosons with Contact Interactions.
Format: Hardback, height x width: 235x155 mm, Approx. 325 p., 1 Hardback
Series: Springer INdAM Series 58
Pub. Date: 14-Oct-2023
ISBN-13: 9789819958832
This book is the second volume that provides an unique overview of the most recent and relevant contributions in the field of mathematical physics with a focus on the mathematical features of quantum mechanics. It is a collection of review papers together with brand new works related to the activities of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)", which took place at the Politecnico di Milano in Spring 2022 at Politecnico di Milano. The range of topics covered by the book is wide, going ranging from many-body quantum mechanics to quantum field theory and open quantum systems.
Chapter
1. Quantum Field Theory.
Chapter
2. Open Quantum Systems.
Chapter
3. Many-Body Quantum Mechanics.
Format: Hardback, 322 pages, height x width: 235x155 mm, 112 Tables, color; 112 Illustrations,
color; 4 Illustrations, black and white; XIV, 322 p. 116 illus., 112 illus. in color
Series: Fields Institute Communications 88
Pub. Date: 01-Nov-2023
ISBN-13: 9783031408045
This volume addresses SDG 3 from a mathematical standpoint, sharing novel perspectives of existing communicable disease modelling technologies of the next generation and disseminating new developments in modelling methodologies and simulation techniques. These methodologies are important for training and research in communicable diseases and can be applied to other threats to human health. The contributions contained in this collection/book cover a range of modelling techniques that have been and may be used to support decision-making on critical health related issues such as:
Resource allocation
Impact of climate change on communicable diseases
Interaction of human behaviour change, and disease spread
Disease outbreak trajectories projection
Public health interventions evaluation
Preparedness and mitigation of emerging and re-emerging infectious diseases outbreaks
Development of vaccines and decisions around vaccine allocation and optimization
The diseases and public health issues in this volume include, but are not limited to COVID-19, HIV, Influenza, antimicrobial resistance (AMR), the opioid epidemic, Lyme Disease, Zika, and Malaria. In addition, this volume compares compartmental models, agent-based models, machine learning and network. Readers have an opportunity to learn from the next generation perspective of evolving methodologies and algorithms in modelling infectious diseases, the mathematics behind them, the motivation for them, and some applications to supporting critical decisions on prevention and control of communicable diseases.
This volume was compiled from the weekly seminar series organized by the Mathematics for Public Health (MfPH) Next Generation Network. This network brings together the next generation of modellers from across Canada and the world, developing the latest mathematical models, modeling methodologies, and analytical and simulation tools for communicable diseases of global public health concerns. The weekly seminar series provides a unique forum for this network and their invited guest speakers to share their perspectives on the status and future directions of mathematics of public health.
Preface.- Mathematical models: perspectives of mathematical modelers and public health professionals.- Discovering first-principle of behavioural change in disease transmission dynamics by deep learning.- Understanding Epidemic Multi-Wave Patterns via Machine Learning Clustering and the Epidemic Renormalization Group.- Contact Matrices in Compartmental Disease Transmission Models.- An optimal control approach for public health interventions on an Epidemic-Viral model in deterministic and stochastic environments.- Modeling airborne disease dynamics: progress and questions.- Modelling mutation-driven emergence of drug-resistance: a case study of SARS-CoV-2.- A Categorical Framework for Modeling with Stock and Flow Diagrams.- Agent-Based Modeling and its Tradeoffs: An Introduction & Examples.- Mathematical assessment of the role of interventions against SARS-CoV-2.- Long term dynamics of COVID-19 in a multi-strain model.