Dimensional Analysis and Theory of Models
Author: Henry Louis Langhaar
Publisher:
Published: 1980
Total Pages: 194
ISBN-13:
DOWNLOAD EBOOKPosts
Dimensional Analysis and Theory of Models
Author: Henry Louis Langhaar
Publisher:
Published: 1964
Total Pages: 166
ISBN-13:
DOWNLOAD EBOOKApplied Dimensional Analysis and Modeling
Author: Thomas Szirtes
Publisher: Butterworth-Heinemann
Published: 2007-04-27
Total Pages: 853
ISBN-13: 0080555454
DOWNLOAD EBOOKApplied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of applications to problems in engineering and applied science, such as fluid dynamics, heat flow, electromagnetics, astronomy and economics. This new edition offers additional worked-out examples in mechanics, physics, geometry, hydrodynamics, and biometry. Covers 4 essential aspects and applications: principal characteristics of dimensional systems, applications of dimensional techniques in engineering, mathematics and geometry, applications in biosciences, biometry and economics, applications in astronomy and physics Offers more than 250 worked-out examples and problems with solutions Provides detailed descriptions of techniques of both dimensional analysis and dimensional modeling
Dimensional Analysis In The Identification Of Mathematical Models
Author: Lysik Bertold
Publisher: World Scientific
Published: 1990-09-12
Total Pages: 206
ISBN-13: 981450677X
DOWNLOAD EBOOKThis book is the first textbook with the generalization of Dimensional Analysis, specially prepared to solve problems of identification of mathematical models based on experimental data. The generalization gives the possibility of mathematical model invariant with regard to gauge group, groups of rotation and others. The resulting formalism generates the most general and tensor homogeneous form of possible functional dependence.
Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective
Author: René Carmona
Publisher: Springer Science & Business Media
Published: 2007-05-22
Total Pages: 236
ISBN-13: 3540270671
DOWNLOAD EBOOKThis book presents the mathematical issues that arise in modeling the interest rate term structure by casting the interest-rate models as stochastic evolution equations in infinite dimensions. The text includes a crash course on interest rates, a self-contained introduction to infinite dimensional stochastic analysis, and recent results in interest rate theory. From the reviews: "A wonderful book. The authors present some cutting-edge math." --WWW.RISKBOOK.COM
High-Dimensional Data Analysis with Low-Dimensional Models
Author: John Wright
Publisher: Cambridge University Press
Published: 2022-01-13
Total Pages: 718
ISBN-13: 1108805558
DOWNLOAD EBOOKConnecting theory with practice, this systematic and rigorous introduction covers the fundamental principles, algorithms and applications of key mathematical models for high-dimensional data analysis. Comprehensive in its approach, it provides unified coverage of many different low-dimensional models and analytical techniques, including sparse and low-rank models, and both convex and non-convex formulations. Readers will learn how to develop efficient and scalable algorithms for solving real-world problems, supported by numerous examples and exercises throughout, and how to use the computational tools learnt in several application contexts. Applications presented include scientific imaging, communication, face recognition, 3D vision, and deep networks for classification. With code available online, this is an ideal textbook for senior and graduate students in computer science, data science, and electrical engineering, as well as for those taking courses on sparsity, low-dimensional structures, and high-dimensional data. Foreword by Emmanuel Candès.
A Student's Guide to Dimensional Analysis
Author: Don S. Lemons
Publisher: Cambridge University Press
Published: 2017-03-16
Total Pages: 115
ISBN-13: 1107161150
DOWNLOAD EBOOKThis introduction to dimensional analysis covers the methods, history and formalisation of the field. Utilising topics including mechanics, hydro- and electrodynamics, and thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis, making it perfect for students on introductory courses in physics, engineering and mathematics.
Dimensional Analysis
Author: Qing-Ming Tan
Publisher: Springer Science & Business Media
Published: 2011-06-06
Total Pages: 199
ISBN-13: 3642192343
DOWNLOAD EBOOKDimensional analysis is an essential scientific method and a powerful tool for solving problems in physics and engineering. This book starts by introducing the Pi Theorem, which is the theoretical foundation of dimensional analysis. It also provides ample and detailed examples of how dimensional analysis is applied to solving problems in various branches of mechanics. The book covers the extensive findings on explosion mechanics and impact dynamics contributed by the author’s research group over the past forty years at the Chinese Academy of Sciences. The book is intended for research scientists and engineers working in the fields of physics and engineering, as well as graduate students and advanced undergraduates of the related fields. Qing-Ming Tan is a former Professor at the Institute of Mechanics, the Chinese Academy of Sciences, China.
DIMENSIONAL ANALYSIS AND THEORY OF MODELS
Author: Henry L. Langhaar
Publisher:
Published: 1980
Total Pages: 166
ISBN-13:
DOWNLOAD EBOOKDimensional Analysis of Food Processes
Author: Guillaume Delaplace
Publisher: Elsevier
Published: 2015-09-18
Total Pages: 358
ISBN-13: 0081004877
DOWNLOAD EBOOKThis book deals with the modeling of food processing using dimensional analysis. When coupled to experiments and to the theory of similarity, dimensional analysis is indeed a generic, powerful and rigorous tool making it possible to understand and model complex processes for design, scale-up and /or optimization purposes. This book presents the theoretical basis of dimensional analysis with a step by step detail of the framework for applying dimensional analysis, with chapters respectively dedicated to the extension of dimensional analysis to changing physical properties and to the use of dimensional analysis as a tool for scaling-up processes. It includes several original examples issued from the research works of the authors in the food engineering field, illustrating the conceptual approaches presented and strengthen the teaching of all. - Discusses popular dimensional analysis for knowledge and scaling-up tools with detailed case studies - Emphasises the processes dealing with complex materials of a multiphase nature - Introduces the concept of chemical or material similarity and a framework for analysis of the functional forms of the propoerty
