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UK Success Stories in Industrial Mathematics
This publication showcases the work of UK mathematicians and statisticians by describing industrial problems that have been successfully solved, together with a summary of the financial and/or societal impact that arose from the work. The articles are grouped by sector, and include contributions to climate modelling, engineering and health. The articles are based on Impact Case Studies that wer…
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- ISBN/ISSN
- 978-3-319-25454-8
- Collation
- 81 b/w illustrations
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Turning Points in the History of Mathematics
This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and …
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- ISBN/ISSN
- 978-1-4939-3264-1
- Collation
- 38 b/w illustrations, 13 illustrations in colour
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Turing’s Revolution The Impact of His Ideas about Computability
This book provides an overview of the confluence of ideas in Turing’s era and work and examines the impact of his work on mathematical logic and theoretical computer science. It combines contributions by well-known scientists on the history and philosophy of computability theory as well as on generalised Turing computability. By looking at the roots and at the philosophical and technical infl…
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- ISBN/ISSN
- 978-3-319-22156-4
- Collation
- 17 b/w illustrations, 1 illustrations in colour
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Turbulence
This book covers the major problems of turbulence and turbulent processes, including physical phenomena, their modeling and their simulation. After a general introduction in Chapter 1 illustrating many aspects dealing with turbulent flows, averaged equations and kinetic energy budgets are provided in Chapter 2. The concept of turbulent viscosity as a closure of the Reynolds stress is also i…
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- ISBN/ISSN
- 978-3-319-16160-0
- Collation
- Original French edition published by CNRS Éditions, Paris, 2003
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The Emerging Quantum
This monograph presents the latest findings from a long-term research project intended to identify the physics behind Quantum Mechanics. A fundamental theory for quantum mechanics is constructed from first physical principles, revealing quantization as an emergent phenomenon arising from a deeper stochastic process. As such, it offers the vibrant community working on the foundations of quantum …
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- ISBN/ISSN
- 978-3-319-07892-2
- Collation
- XIII, 366
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Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations
The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure based on a general, geometric version of the Avalanche Principle. The main assumption required by this method is the availability of appropriate large deviation type estimates for quantities related to the iterates of the base and fiber …
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- ISBN/ISSN
- 978-94-6239-124-6
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Minimal Free Resolutions over Complete Intersections
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of …
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- 1
- ISBN/ISSN
- 978-3-319-26436-3
- Collation
- X, 107
- Series Title
- Lecture Notes in Mathematics
- Call Number
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Model-Based Recursive Partitioning with Adjustment for Measurement Error:Appl…
Model-based recursive partitioning (MOB) provides a powerful synthesis between machine-learning inspired recursive partitioning methods and regression models. Hanna Birke extends this approach by allowing in addition for measurement error in covariates, as frequently occurring in biometric (or econometric) studies, for instance, when measuring blood pressure or caloric intake per day. After an …
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- 1
- ISBN/ISSN
- 978-3-658-08504-9
- Collation
- XXIV, 240; 65 b/w illustrations
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- BestMasters
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Facets of Uncertainties and Applications ICFUA, Kolkata, India, December 2013
Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory. However, this apparently unique link between uncertainty and probability theory has come under investigation a few decades back. Uncertainties are nowadays accepted to be of various kinds. Uncertainty in general could refer to differen…
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- ISBN/ISSN
- 978-81-322-2301-6
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- 61 b/w illustrations
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Neoclassical Physics
In this introductory text, physics concepts are introduced as a means of understanding experimental observations, not as a sequential list of facts to be memorized. The book is structured around the key scientific discoveries that led to much of our current understanding of the universe. Numerous exercises are provided that utilize Mathematica software to help students explore how the language …
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- 1
- ISBN/ISSN
- 978-3-319-10646-5
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- XXV, 375
- Series Title
- Undergraduate Lecture Notes in Physics
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