國立虎尾科技大學 |

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Problems and solutions on vector spaces for physicists/ by Robert B. Scott.
其他題名:	from part I in Mathematical physics : a modern introduction to its foundations /
作者:	Scott, Robert B.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xv, 178 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Applications of Mathematics. -
電子資源:	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:

669175
Applications of Mathematics.

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 /
LDR:02773nam a2200325 a 4500 001 1116384
003 DE-He213
005 20230809151722.0
006 m d
007 cr nn 008maaau
008 240123s2023 sz s 0 eng d
020 $a 9783031312182 $q (electronic bk.)
020 $a 9783031312175 $q (paper)
024 7 $a 10.1007/978-3-031-31218-2 $2 doi
035 $a 978-3-031-31218-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20 $b .S36 2023
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 530.15 $2 23
090 $a QC20 $b .S428 2023
100 1 $a Scott, Robert B. $3 1429623
245 1 0 $a Problems and solutions on vector spaces for physicists $h [electronic resource] : $b from part I in Mathematical physics : a modern introduction to its foundations / $c by Robert B. Scott.
260 $a Cham : $c 2023. $b Springer International Publishing : $b Imprint: Springer,
300 $a xv, 178 p. : $b ill., digital ; $c 24 cm.
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.
650 2 4 $a Applications of Mathematics. $3 669175
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 768900
650 1 4 $a Mathematical Methods in Physics. $3 670749
650 0 $a Vector spaces. $3 528614
650 0 $a Mathematical physics. $3 527831
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-31218-2
950 $a Physics and Astronomy (SpringerNature-11651)