A First Course In Dimensional Analysis PDF Download
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Author | : Juan G. Santiago |
Publisher | : MIT Press |
Total Pages | : 179 |
Release | : 2019-10-22 |
Genre | : Technology & Engineering |
ISBN | : 0262537710 |
Download A First Course in Dimensional Analysis Book in PDF, ePub and Kindle
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.
Author | : Juan G. Santiago |
Publisher | : MIT Press |
Total Pages | : 179 |
Release | : 2019-10-22 |
Genre | : Technology & Engineering |
ISBN | : 0262355108 |
Download A First Course in Dimensional Analysis Book in PDF, ePub and Kindle
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.
Author | : Hans G. Hornung |
Publisher | : Courier Corporation |
Total Pages | : 80 |
Release | : 2013-01-18 |
Genre | : Science |
ISBN | : 048615047X |
Download Dimensional Analysis Book in PDF, ePub and Kindle
Derived from a course in fluid mechanics, this text for advanced undergraduates and graduate students employs symmetry arguments to illustrate the principles of dimensional analysis. 2006 edition.
Author | : Donald D. Gray |
Publisher | : Water Resources Publication |
Total Pages | : 518 |
Release | : 2000 |
Genre | : Science |
ISBN | : 9781887201117 |
Download A First Course in Fluid Mechanics for Civil Engineers Book in PDF, ePub and Kindle
Author | : J.C. Gibbings |
Publisher | : Springer Science & Business Media |
Total Pages | : 302 |
Release | : 2011-02-11 |
Genre | : Mathematics |
ISBN | : 1849963177 |
Download Dimensional Analysis Book in PDF, ePub and Kindle
For experiments, dimensional analysis enables the design, checks the validity, orders the procedure and synthesises the data. Additionally it can provide relationships between variables where standard analysis is not available. This widely valuable analysis for engineers and scientists is here presented to the student, the teacher and the researcher. It is the first complete modern text that covers developments over the last three decades while closing all outstanding logical gaps. Dimensional Analysis also lists the logical stages of the analysis, so showing clearly the care to be taken in its use while revealing the very few limitations of application. As the conclusion of that logic, it gives the author's original proof of the fundamental and only theorem. Unlike past texts, Dimensional Analysis includes examples for which the answer does not already exist from standard analysis. It also corrects the many errors present in the existing literature by including accurate solutions. Dimensional Analysis is written for all branches of engineering and science as a teaching book covering both undergraduate and postgraduate courses, as a guide for the lecturer and as a reference volume for the researcher.
Author | : John McCleary |
Publisher | : American Mathematical Soc. |
Total Pages | : 226 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 0821838849 |
Download A First Course in Topology Book in PDF, ePub and Kindle
How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincare argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. The notion of dimension itself presented a basic problem to the pioneers of topology. Cantor asked if dimension was a topological feature of Euclidean space. To answer this question, some important topological ideas were introduced by Brouwer, giving shape to a subject whose development dominated the twentieth century. The basic notions in topology are varied and a comprehensive grounding in point-set topology, the definition and use of the fundamental group, and the beginnings of homology theory requires considerable time.The goal of this book is a focused introduction through these classical topics, aiming throughout at the classical result of the Invariance of Dimension. This text is based on the author's course given at Vassar College and is intended for advanced undergraduate students. It is suitable for a semester-long course on topology for students who have studied real analysis and linear algebra. It is also a good choice for a capstone course, senior seminar, or independent study.
Author | : Giuseppe Da Prato |
Publisher | : Springer Science & Business Media |
Total Pages | : 217 |
Release | : 2006-08-25 |
Genre | : Mathematics |
ISBN | : 3540290214 |
Download An Introduction to Infinite-Dimensional Analysis Book in PDF, ePub and Kindle
Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention to their long-time behavior.
Author | : |
Publisher | : Bookboon |
Total Pages | : 145 |
Release | : |
Genre | : |
ISBN | : 8740300692 |
Download A First Course in Fluid Mechanics for Engineers Book in PDF, ePub and Kindle
Author | : Thomas Szirtes |
Publisher | : Butterworth-Heinemann |
Total Pages | : 853 |
Release | : 2007-04-27 |
Genre | : Technology & Engineering |
ISBN | : 0080555454 |
Download Applied Dimensional Analysis and Modeling Book in PDF, ePub and Kindle
Applied 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
Author | : I. M. Glazman |
Publisher | : Courier Corporation |
Total Pages | : 548 |
Release | : 2006-01-01 |
Genre | : Mathematics |
ISBN | : 0486453324 |
Download Finite-dimensional Linear Analysis Book in PDF, ePub and Kindle
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.