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Problems and solutions on vector spa...

Scott, Robert B.

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Problems and solutions on vector spaces for physicists = from part I in Mathematical physics : a modern introduction to its foundations /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Problems and solutions on vector spaces for physicists/ by Robert B. Scott.
Reminder of title:	from part I in Mathematical physics : a modern introduction to its foundations /
Author:	Scott, Robert B.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xv, 178 p. :ill., digital ;24 cm.
[NT 15003449]:	Mathematical Preliminaries -- Vectors and Linear Maps -- Algebras -- Operator Algebra -- Matrices -- Spectral Decomposition.
Contained By:	Springer Nature eBook
Subject:	Mathematical physics. -
Online resource:	https://doi.org/10.1007/978-3-031-31218-2
ISBN:	9783031312182

Problems and solutions on vector spaces for physicists = from part I in Mathematical physics : a modern introduction to its foundations /
Scott, Robert B.

Problems and solutions on vector spaces for physicistsfrom part I in Mathematical physics : a modern introduction to its foundations /[electronic resource] :by Robert B. Scott. - Cham :Springer International Publishing :2023. - xv, 178 p. :ill., digital ;24 cm.

Mathematical Preliminaries -- Vectors and Linear Maps -- Algebras -- Operator Algebra -- Matrices -- Spectral Decomposition.

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 to physics 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.

ISBN: 9783031312182

Standard No.: 10.1007/978-3-031-31218-2doiSubjects--Topical Terms:

516853
Mathematical physics.

LC Class. No.: QC20 / .S36 2023

Dewey Class. No.: 530.15

Problems and solutions on vector spaces for physicists = from part I in Mathematical physics : a modern introduction to its foundations /
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505 0 $a Mathematical Preliminaries -- Vectors and Linear Maps -- Algebras -- Operator Algebra -- Matrices -- Spectral Decomposition.
520 $a 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 to physics 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.
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