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Simplicial Homotopy Theory
Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address h…
- Edition
- 1
- ISBN/ISSN
- 978-3-0346-0189-4
- Collation
- Mathematics
- Series Title
- Modern Birkhäuser Classics
- Call Number
- 510
Advances in Nonlinear Dynamics
This first of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include Fluid-structure interactions …
- Edition
- 1
- ISBN/ISSN
- 978-3-030-81162-4
- Collation
- Mekanika
- Series Title
- NODYCON Conference Proceedings Series
- Call Number
- 532
Large Deviations and Asymptotic Methods in Finance
Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-11605-1
- Collation
- Mathematics
- Series Title
- -
- Call Number
- 510
Asymptotic Combinatorics with Applications to Mathematical Physics
At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young d…
- Edition
- 1
- ISBN/ISSN
- 978-3-540-44890-7
- Collation
- Mathematics
- Series Title
- -
- Call Number
- 510
Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov’s first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can’t be inferred on the bas…
- Edition
- 1
- ISBN/ISSN
- 978-3-642-33817-5
- Collation
- Mathematics
- Series Title
- -
- Call Number
- 510
Finite Approximations in Discrete-Time Stochastic Control
In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-79033-6
- Collation
- Mathematics
- Series Title
- -
- Call Number
- 510
Mathematical Statistics
This book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of t…
- Edition
- 1
- ISBN/ISSN
- 978-3-642-31084-3
- Collation
- Mathematics
- Series Title
- Springer Series in Statistics
- Call Number
- 510
Asymptotic Approximations for Probability Integrals
This book gives a self-contained introduction to the subject of asymptotic approximation for multivariate integrals for both mathematicians and applied scientists. A collection of results of the Laplace methods is given. Such methods are useful for example in reliability, statistics, theoretical physics and information theory. An important special case is the approximation of multidimensional n…
- Edition
- 1
- ISBN/ISSN
- 978-3-540-49033-3
- Collation
- Mathematical
- Series Title
- -
- Call Number
- 510
Homotopy Analysis Method in Nonlinear Differential Equations
"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear s…
- Edition
- 1
- ISBN/ISSN
- 978-3-642-25132-0
- Collation
- Mathematical
- Series Title
- -
- Call Number
- 510
Monitoring Mechanical Ventilation Using Ventilator Waveforms
This book discusses the interpretation of mechanical ventilator waveforms. Each page shows a screenshot from a real patient and explains one or two messages. It starts with basic information about the waveforms and goes on to address passive and spontaneous ventilation, non-invasive ventilation and specific measurements such as pressure-volume curves and esophageal pressure. Step by step, reade…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-58655-7
- Collation
- Mekanika
- Series Title
- -
- Call Number
- 532
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