Ramble Through Probability

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A Ramble Through Probability

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Author : Samopriya Basu
language : en
Publisher: SIAM
Release Date : 2024-03-06

A Ramble Through Probability written by Samopriya Basu and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-06 with Mathematics categories.

Measure theory and measure-theoretic probability are fascinating subjects. Proofs describing profound ways to reason lead to results that are frequently startling, beautiful, and useful. Measure theory and probability also play roles in the development of pure and applied mathematics, statistics, engineering, physics, and finance. Indeed, it is difficult to overstate their importance in the quantitative disciplines. This book traces an eclectic path through the fundamentals of the topic to make the material accessible to a broad range of students. A Ramble through Probability: How I Learned to Stop Worrying and Love Measure Theory brings together the key elements and applications in a unified presentation aimed at developing intuition; contains an extensive collection of examples that illustrate, explain, and apply the theories; and is supplemented with videos containing commentary and explanations of select proofs on an ancillary website. This book is intended for graduate students in engineering, mathematics, science, and statistics. Researchers who need to use probability theory will also find it useful. It is appropriate for graduate-level courses on measure theory and/or probability theory.

Ramble Through Probability

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Author :
language : en
Publisher:
Release Date : 2024

Ramble Through Probability written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with categories.

Modeling Nonlinear Dynamics From Equations And Data With Applications To Solids Fluids And Controls

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Author : George Haller
language : en
Publisher: SIAM
Release Date : 2025-05-20

Modeling Nonlinear Dynamics From Equations And Data With Applications To Solids Fluids And Controls written by George Haller and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-20 with Computers categories.

This concise text presents an introduction to the emerging area of reducing complex nonlinear differential equations or time-resolved data sets to spectral submanifolds (SSMs). SSMs are ubiquitous low-dimensional attracting invariant manifolds that can be constructed systematically, building on the spectral properties of the linear part of a nonlinear system. The internal dynamics within SSMs then serve as exact, low-dimensional models with which the full system evolution synchronizes exponentially fast. SSM-based model reduction has a solid mathematical foundation and hence is guaranteed to deliver accurate and predictive reduced-order models under a precise set of assumptions. This book introduces the foundations of SSM theory to the novice reader; reviews recent extensions of classic SSM results for the advanced reader; and illustrates the power of SSM reduction on a large collection of equation- and data-driven applications in fluid mechanics, solid mechanics, and control. This book is intended for graduate students, postdocs, faculty, and industrial researchers working in model reduction for nonlinear physical systems arising in solid mechanics, fluid dynamics, and control theory. It is appropriate for courses on differential equations, modeling, dynamical systems, and data-driven modeling.

Educational Notes And Queries

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Author :
language : en
Publisher:
Release Date : 1875

Educational Notes And Queries written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1875 with Education categories.

A First Course In Linear Optimization

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Author : Amir Beck
language : en
Publisher: SIAM
Release Date : 2025-05-05

A First Course In Linear Optimization written by Amir Beck and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-05 with Mathematics categories.

This self-contained textbook provides the foundations of linear optimization, covering topics in both continuous and discrete linear optimization. It gradually builds the connection between theory, algorithms, and applications so that readers gain a theoretical and algorithmic foundation, familiarity with a variety of applications, and the ability to apply the theory and algorithms to actual problems. To deepen the reader’s understanding, the authors provide many applications from diverse areas of applied sciences, such as resource allocation, line fitting, graph coloring, the traveling salesman problem, game theory, and network flows; more than 180 exercises, most of them with partial answers and about 70 with complete solutions; and a continuous illustration of the theory through examples and exercises. A First Course in Linear Optimization is intended to be read cover to cover and requires only a first course in linear algebra as a prerequisite. Its 13 chapters can be used as lecture notes for a first course in linear optimization. This book is for a first undergraduate course in linear optimization, such as linear programming, linear optimization, and operations research. It is appropriate for students in operations research, mathematics, economics, and industrial engineering, as well as those studying computer science and engineering disciplines.

Uncertainty Quantification

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Author : Ralph C. Smith
language : en
Publisher: SIAM
Release Date : 2024-09-13

Uncertainty Quantification written by Ralph C. Smith and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-13 with Mathematics categories.

Uncertainty quantification serves a fundamental role when establishing the predictive capabilities of simulation models. This book provides a comprehensive and unified treatment of the mathematical, statistical, and computational theory and methods employed to quantify uncertainties associated with models from a wide range of applications. Expanded and reorganized, the second edition includes advances in the field and provides a comprehensive sensitivity analysis and uncertainty quantification framework for models from science and engineering. It contains new chapters on random field representations, observation models, parameter identifiability and influence, active subspace analysis, and statistical surrogate models, and a completely revised chapter on local sensitivity analysis. Other updates to the second edition are the inclusion of over 100 exercises and many new examples — several of which include data — and UQ Crimes listed throughout the text to identify common misconceptions and guide readers entering the field. Uncertainty Quantification: Theory, Implementation, and Applications, Second Edition is intended for advanced undergraduate and graduate students as well as researchers in mathematics, statistics, engineering, physical and biological sciences, operations research, and computer science. Readers are assumed to have a basic knowledge of probability, linear algebra, differential equations, and introductory numerical analysis. The book can be used as a primary text for a one-semester course on sensitivity analysis and uncertainty quantification or as a supplementary text for courses on surrogate and reduced-order model construction and parameter identifiability analysis.

The Knickerbacker

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Author :
language : en
Publisher:
Release Date : 1842

The Knickerbacker written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1842 with American periodicals categories.

A System Of Synthetic Philosophy

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Author : Herbert Spencer
language : en
Publisher:
Release Date : 1873

A System Of Synthetic Philosophy written by Herbert Spencer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1873 with categories.

The Principles Of Psychology Special Analysis General Analysis Corollaries

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Author : Herbert Spencer
language : en
Publisher:
Release Date : 1890

The Principles Of Psychology Special Analysis General Analysis Corollaries written by Herbert Spencer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1890 with Psychology categories.

The Principles Of Psychology

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Author : Herbert Spencer
language : en
Publisher:
Release Date : 1890

The Principles Of Psychology written by Herbert Spencer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1890 with Psychology categories.