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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Theoretische Physik Problems and Solutions on Vector Spaces for Physicists
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Problems and Solutions on Vector Spaces for Physicists
Robert B. Scott (Broschiert, Englisch)
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Beschreibung
This book offers supporting material for the comprehensive textbook Mathematical Physics—A Modern Introduction to Its Foundations authored by Sadri Hassani. The book covers mathematical preliminaries and all of Part I in Hassani’s textbook. The subjects covered here include the key topics necessary for physicists to form a solid mathematical foundation: vectors and linear maps, algebras,… operators, matrices, and spectral decomposition. In particular, the vector space concept is a central unifying theme in later chapters of Hassani’s textbook. Detailed solutions are provided to one third of the end-of-chapter exercises in the first six chapters of his text. The present volume helps upper-undergraduate and early postgraduate physics students deepen their understanding of the mathematics that they encounter in physics, learn physics more efficiently, and use mathematics with more confidence and creativity. The content is thus presented rigorously but remains accessible tophysics students. New exercises are also proposed, some with solutions, some without, so that the total number of unsolved exercises remains unchanged. They are chosen to help explain difficult concepts, amplify key points in Hassani's textbook, or make further connections with applications in physics. Taken together with Hassani's work, the two form a self-contained set and the solutions make detailed reference to Hassani's text. The solutions also refer to other mathematics and physics textbooks, providing entry points to further literature that finds a useful place in the physicist's personal library. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
11.08.2024
Sprache
Englisch
EAN
9783031312205
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Robert B. Scott
Seitenanzahl
178
Einbandart
Broschiert
Buch Untertitel
From Part I in Mathematical Physics—A Modern Introduction to Its Foundations
Schlagwörter
Finite-Dimensional Vector Spaces, Schwarz Inequality, Gram-Schmidt Process, Total Matrix Algebra, Hermitian Operator, Unitary Operator, Projection Operator, Inverse of a Matrix, Trace of a Matrix, Spectral Decomposition, Polar Decomposition, Infinite-Dimensional Vector Spaces, Hilbert Spaces, Orthogonal Polynomials, Laguerre Polynomials, Legendre Polynomials, Hermite Polynomials, Fourier Analysis, Hassani Solution Manual, Hassani Mathematical Physics Solutions
Thema-Inhalt
PHU - Mathematische Physik
PBW - Angewandte Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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