The Mathematical Analysis of Physical Systems

Sprache: Englisch

Verlag: Van Nostrand Reinhold, 1985

0442260776 / 9780442260774

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Artikelbeschreibung des Verkäufers

Hardcover, sturdy vinyl boards, x + 357 pages. A couple of foreign stamps on the front endpaper & pastedown. Text pages very good, clean and bright throughout, untanned, with unmarked text, firmly bound. Gentle handling marks on outer page edges. Boards show a bit of rubbing to the edges. Issued without a dust jacket. -- This book is a collection of essays that explores the powerful role mathematics plays in understanding physical systems. It opens with two landmark papers on the surprising effectiveness of mathematics in the natural sciences, including the celebrated essay by Nobel Prize-winning physicist Eugene P. Wigner. These philosophical reflections are followed by a series of technical chapters that examine advanced mathematical methods and their direct application to concrete problems in physics. The volume includes discussions on gauge invariance as a fundamental principle in nature, the Radon transform and its mathematical foundations, the geometry of quantum flow, the intricate relationship between classical chaos, phase space structure, and semiclassical quantisation, the adiabatic method in many-body quantum systems, and an accessible introduction to catastrophe theory. Rather than presenting a single unified narrative, the book brings together diverse but complementary perspectives that range from deep philosophical questions about the nature of scientific explanation to highly technical treatments of sophisticated mathematical tools. The contributions demonstrate how abstract mathematical structures can reveal essential features of physical reality that are not easily accessible through experiment or numerical simulation alone. The volume is particularly notable for bridging fundamental philosophical inquiry with practical mathematical physics. It reflects a serious attempt to show working scientists how advanced mathematical thinking can be applied productively across a wide range of physical problems and remains a valuable resource for those interested in the deeper mathematical foundations of physics. -- Contents: 1-1. The Unreasonable Effectiveness of Mathematics in the Natural Sciences / Eugene P. Wigner; 1-2. The Unreasonable Effectiveness of Mathematics / R.W. Hamming; 2. Gauge Invariance in Nature: A Simple View / Sylvester J. Gates, Jr.; 3. The Radon Transform / Stanley R. Deans; 4. The Geometry of Quantum Flow / James V. Lindesay and Harry L. Morrison; 5. Classical Chaos, the Geometry of Phase Space, and Semiclassical Quantization / William P. Reinhardt; 6. The Adiabatic Method in the Theory of Many-Body Systems / Vladimir Z. Kresin and William A. Lester, Jr.; 7. Catastrophe Theory: What It Is, Why It Exists, How It Works / Robert Gilmore.…

Bestandsnummer des Verkäufers 012824

Titel
The Mathematical Analysis of Physical Systems
Autor
Ronald Mickens
Verlag
Van Nostrand Reinhold
Erscheinungsjahr
1985
Zustand
Good
Einband
Hardcover
Sprache
Englisch
ISBN-10
0442260776
ISBN-13
9780442260774
Auflage
1st Edition

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All U.S.-bound orders are now shipped with UPS for reliable delivery. Additional customs or import fees are highly unlikely; however, please note buyers remain responsible for any duties or taxes that U.S. Customs may assess. -- Killarneybooks is a family-run bookshop based in the Republic of Ireland. We take pride in accurate listings, careful packaging, and prompt service - most orders ship within 24 hours. All books listed are in stock and ready for immediate dispatch - we are not dropshippers. Inquiries always welcome.…

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