A First Course In Dimensional Analysis

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A First Course In Dimensional Analysis

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Author : Juan G. Santiago
language : en
Publisher: MIT Press
Release Date : 2019-10-22

A First Course In Dimensional Analysis written by Juan G. Santiago and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-22 with Technology & Engineering categories.

An introduction to dimensional analysis, a method of scientific analysis used to investigate and simplify complex physical phenomena, demonstrated through a series of engaging examples. This book offers an introduction to dimensional analysis, a powerful method of scientific analysis used to investigate and simplify complex physical phenomena. The method enables bold approximations and the generation of testable hypotheses. The book explains these analyses through a series of entertaining applications; students will learn to analyze, for example, the limits of world-record weight lifters, the distance an electric submarine can travel, how an upside-down pendulum is similar to a running velociraptor, and the number of Olympic rowers required to double boat speed. The book introduces the approach through easy-to-follow, step-by-step methods that show how to identify the essential variables describing a complex problem; explore the dimensions of the problem and recast it to reduce complexity; leverage physical insights and experimental observations to further reduce complexity; form testable scientific hypotheses; combine experiments and analysis to solve a problem; and collapse and present experimental measurements in a compact form. Each chapter ends with a summary and problems for students to solve. Taken together, the analyses and examples demonstrate the value of dimensional analysis and provide guidance on how to combine and enhance dimensional analysis with physical insights. The book can be used by undergraduate students in physics, engineering, chemistry, biology, sports science, and astronomy.

A First Course In Fluid Mechanics For Civil Engineers

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Author : Donald D. Gray
language : en
Publisher: Water Resources Publication
Release Date : 2000

A First Course In Fluid Mechanics For Civil Engineers written by Donald D. Gray and has been published by Water Resources Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.

Applied Dimensional Analysis And Modeling

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Author : Thomas Szirtes
language : en
Publisher: McGraw Hill Professional
Release Date : 1998

Applied Dimensional Analysis And Modeling written by Thomas Szirtes and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

Learn to apply the "dimensional method" to facilitate the design and testing of engineering and physical systemsÑand greatly accelerate the development of products. This is the first book to offer a practical approach to modeling and dimensional analysis, emphasizing the interests and problems of the engineer and applied scientist. Packed with illustrations, graphs, numeric tables, and concrete case studies, this in-depth reference work explains both dimensional analysis and scale modeling...concisely describes constructions of dimensional systems, including SI (metric) and Imperial (U.S.)...and provides over 250 worked-out examples drawn from engineering, applied physics, biomechanics, astronomy, geometry, and economics .

A First Course In Turbulence

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Author : Hendrik Tennekes
language : en
Publisher: MIT Press
Release Date : 1972

A First Course In Turbulence written by Hendrik Tennekes and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Science categories.

Problems after each chapter

Dimensional Analysis Across The Landscape Of Physics

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Author : Richard W. Robinett
language : en
Publisher: Oxford University Press
Release Date : 2024-12-24

Dimensional Analysis Across The Landscape Of Physics written by Richard W. Robinett and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-24 with Science categories.

Dimensional Analysis Across the Landscape of Physics introduces readers to the powerful idea that almost all physical quantities in science and engineering can be described using only five base dimensions: mass, length, time, charge, and temperature, and combinations thereof. Starting with the basics of how this foundational intellectual concept arises, it illustrates the use of dimensional analysis in approaching the solutions to textbook-level problems in physics and adjacent fields, ranging from introductory courses, through the advanced undergraduate curriculum, to advanced Physics electives. It covers the core curricular topics of classical mechanics, electricity and magnetism, thermal physics, and quantum mechanics. It includes examples of the use of dimensional analysis applied to topics from other related fields such as geosciences, meteorology, engineering, and biophysics to emphasize the utility of such methods across the proverbial landscape of physics. There is also coverage of more specialized topics, such as advanced quantum mechanics, particle physics, field theory, condensed matter physics, and astrophysics and gravitation. Many worked examples are included, as well as an extensive array of end-of-chapter problems, with a solution manual available to instructors. In addition to covering the standard topics in the undergraduate curriculum, the book explores how dimensional analysis has been used (and continues to be used) in research across all fields of physics, citing examples from the historical literature and from very recent research results. The work includes extensive references to the original papers for further study, as well as useful ancillary material, including a dimensional analysis 'dictionary', brief introductions to data-fitting, and connections to metrology. There is an emphasis throughout on the use of modern symbolic programming to streamline the process of the solving systems of linear equations needed for a dimensional analysis approach, with several Mathematica© templates provided for reader use.

A First Course In Fourier Analysis

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Author : David W. Kammler
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-17

A First Course In Fourier Analysis written by David W. Kammler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-17 with Mathematics categories.

This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.

Dimensional Analysis

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Author : Hans G. Hornung
language : en
Publisher: Courier Corporation
Release Date : 2006-01-14

Dimensional Analysis written by Hans G. Hornung and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-14 with Science categories.

Derived from a course in fluid mechanics, this text for advanced undergraduates and beginning graduate students employs symmetry arguments to demonstrate the principles of dimensional analysis. The examples provided illustrate the effectiveness of symmetry arguments in obtaining the mathematical form of the functions yielded by dimensional analysis. Students will find these methods applicable to a wide field of interests. After discussing several examples of method, the text examines pipe flow, material properties, gasdynamical examples, body in nonuniform flow, and turbulent flow. Additional topics include waves on a free liquid surface, examples with other fluid properties, and ideal gas equations of state. Figures appear throughout the text, which concludes with a bibliography.

A First Course In Mathematical Modeling

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Author : Frank R. Giordano
language : en
Publisher: Brooks Cole
Release Date : 1996-12-31

A First Course In Mathematical Modeling written by Frank R. Giordano and has been published by Brooks Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-31 with Mathematics categories.

Now with discrete mathematics, this edition makes it possible to organize an entire course without the use of calculus. However, if you wish to cover the chapters requiring calculus, the book's unique organization permits use to concurrently teach the introductory calculus course -- as early as the first semester of the freshman year. Plus, the book's rich choice of topics provide an introduction to the operations research and quantitative management science courses. This text gives students an opportunity to cover all phases of the mathematical modeling process, including creative and empirical model construction, model analysis, and model research using clearly defined techniques, such as modeling using graphs, modeling using proportionality, and modeling fitting.

Finite Dimensional Linear Analysis

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Author : I. M. Glazman
language : en
Publisher: Courier Corporation
Release Date : 2006-01-01

Finite Dimensional Linear Analysis written by I. M. Glazman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.

A sequence of 2,400 propositions and problems features only hints. Suitable for advanced undergraduates and graduate students, this unique approach encourages students to work out their own proofs. 1974 edition.

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Author :
language : en
Publisher: EduGorilla Community Pvt. Ltd.
Release Date :

written by and has been published by EduGorilla Community Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.