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Author: Mark Levi
Publisher: Princeton University Press
ISBN: 1400830478
Category : Mathematics
Languages : en
Pages : 197
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Book Description
Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist. Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed, and includes an informative appendix of physical principles. The Mathematical Mechanic will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavors relate to the world around us.
Author: Mark Levi
Publisher: Princeton University Press
ISBN: 1400830478
Category : Mathematics
Languages : en
Pages : 197
Get Book Here
Book Description
Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist. Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed, and includes an informative appendix of physical principles. The Mathematical Mechanic will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavors relate to the world around us.
Author: Victor Dean Hawkins
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 222
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Book Description
Author: Albert T. Fromhold
Publisher: Courier Corporation
ISBN: 0486164691
Category : Science
Languages : en
Pages : 450
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Book Description
For upper-level undergraduates and graduate students: an introduction to the fundamentals of quantum mechanics, emphasizing aspects essential to an understanding of solid-state theory. Numerous problems (and selected answers), projects, exercises.
Author: Victor D Hawkins
Publisher: Legare Street Press
ISBN: 9781020292729
Category :
Languages : en
Pages : 0
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Book Description
An introductory textbook on the principles of physics for elementary level students. The book discusses various topics such as mechanics, thermodynamics, and electromagnetism in a clear and concise manner with practical examples and illustrations. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Albert T. Jr. Fromhold
Publisher: Elsevier
ISBN: 0323150098
Category : Science
Languages : en
Pages : 447
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Book Description
Quantum Mechanics for Applied Physics and Engineering is devoted to the use of quantum mechanics in applied physics and engineering. Topics covered include elementary quantum theory, quantum statistics and many-particle systems, and energy bands in crystals. Approximation techniques for the Schrödinger equation are also described. Comprised of seven chapters, this book opens with an overview of basic quantum mechanics and includes a discussion on wave-particle duality, probability current density, and periodic boundary conditions. Quantum statistics is then considered as a prelude to the free-electron theory of metals, along with the use of perturbation theory to evaluate modifications in free-electron theory. The following chapters explore the use of WKB approximation to deduce the transmission coefficient for electron tunneling in solids; the theory of electronic energy bands; and the application of the Schrödinger equation to the problem of the periodic potential of a crystalline solid. Examples from solid-state physics are employed to illustrate specific applications and to demonstrate the principal results that can be deduced by means of quantum theory. This monograph is written primarily for engineers and applied physicists.
Author: Mills College
Publisher:
ISBN:
Category :
Languages : en
Pages : 140
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Book Description
![Department of Engineering Sciences and Applied Physics, Containing an Announcement for [year] PDF](https://books.google.com/books/content/images/frontcover/rZ0O12Tt8X8C?fife=w80-h100)
Author: Harvard University
Publisher:
ISBN:
Category :
Languages : en
Pages : 538
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Book Description
Author: Adolphe Ganot
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 898
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Book Description
Author: University of Northern Colorado
Publisher:
ISBN:
Category :
Languages : en
Pages : 1148
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Book Description
Author: David A. B. Miller
Publisher: Cambridge University Press
ISBN: 1139471279
Category : Technology & Engineering
Languages : en
Pages : 575
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Book Description
If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839.
