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BOOK EXCERPT:
This is a rare book on a rare topic: it is about 'action' and the Principle of Least Action. A surprisingly well-kept secret, these ideas are at the heart of physical science and engineering. Physics is well known as being concerned with grand conservatory principles (e.g. the conservation of energy) but equally important is the optimization principle (such as getting somewhere in the shortest time or with the least resistance). The book explains: why an optimization principle underlies physics, what action is, what `the Hamiltonian' is, and how new insights into energy, space, and time arise. It assumes some background in the physical sciences, at the level of undergraduate science, but it is not a textbook. The requisite derivations and worked examples are given but may be skim-read if desired. The author draws from Cornelius Lanczos's book "The Variational Principles of Mechanics" (1949 and 1970). Lanczos was a brilliant mathematician and educator, but his book was for a postgraduate audience. The present book is no mere copy with the difficult bits left out - it is original, and a popularization. It aims to explain ideas rather than achieve technical competence, and to show how Least Action leads into the whole of physics.
Product Details :
Genre |
: Electronic book |
Author |
: Jennifer Coopersmith |
Publisher |
: Oxford University Press |
Release |
: 2017 |
File |
: 280 Pages |
ISBN-13 |
: 9780198743040 |
eBook Download
BOOK EXCERPT:
This is a rare book on a rare topic: it is about 'action' and the Principle of Least Action. A surprisingly well-kept secret, these ideas are at the heart of physical science and engineering. Physics is well known as being concerned with grand conservatory principles (e.g. the conservation of energy) but equally important is the optimization principle (such as getting somewhere in the shortest time or with the least resistance). The book explains: why an optimization principle underlies physics, what action is, what `the Hamiltonian' is, and how new insights into energy, space, and time arise. It assumes some background in the physical sciences, at the level of undergraduate science, but it is not a textbook. The requisite derivations and worked examples are given but may be skim-read if desired. The author draws from Cornelius Lanczos's book "The Variational Principles of Mechanics" (1949 and 1970). Lanczos was a brilliant mathematician and educator, but his book was for a postgraduate audience. The present book is no mere copy with the difficult bits left out - it is original, and a popularization. It aims to explain ideas rather than achieve technical competence, and to show how Least Action leads into the whole of physics.
Product Details :
Genre |
: Science |
Author |
: Jennifer Coopersmith |
Publisher |
: Oxford University Press |
Release |
: 2017-04-28 |
File |
: 272 Pages |
ISBN-13 |
: 9780191060724 |
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BOOK EXCERPT:
Product Details :
Genre |
: |
Author |
: Symposium on Operating Systems Principles |
Publisher |
: |
Release |
: 1989 |
File |
: 246 Pages |
ISBN-13 |
: 0897913388 |
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BOOK EXCERPT:
Product Details :
Genre |
: Encyclopedias and dictionaries |
Author |
: Robert Hunter |
Publisher |
: |
Release |
: 1897 |
File |
: 1360 Pages |
ISBN-13 |
: UOM:39015038668334 |
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BOOK EXCERPT:
Product Details :
Genre |
: Encyclopedias and dictionaries |
Author |
: |
Publisher |
: |
Release |
: 1898 |
File |
: 1358 Pages |
ISBN-13 |
: MINN:31951002024483J |
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BOOK EXCERPT:
Product Details :
Genre |
: Literature |
Author |
: Ainsworth Rand Spofford |
Publisher |
: |
Release |
: 1894 |
File |
: 448 Pages |
ISBN-13 |
: NYPL:33433066586128 |
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BOOK EXCERPT:
Product Details :
Genre |
: |
Author |
: |
Publisher |
: |
Release |
: 1879 |
File |
: 732 Pages |
ISBN-13 |
: NYPL:33433081644878 |
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BOOK EXCERPT:
Product Details :
Genre |
: |
Author |
: United States. Patent Office |
Publisher |
: |
Release |
: 1879 |
File |
: 1524 Pages |
ISBN-13 |
: UCAL:C2539729 |
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BOOK EXCERPT:
Product Details :
Genre |
: Encyclopedias and dictionaries |
Author |
: |
Publisher |
: |
Release |
: 1886 |
File |
: 882 Pages |
ISBN-13 |
: UIUC:30112057100213 |
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BOOK EXCERPT:
Product Details :
Genre |
: |
Author |
: |
Publisher |
: |
Release |
: 1886 |
File |
: 894 Pages |
ISBN-13 |
: |