東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linear algebra and group theory for ...

Shapira, Yair.

Linked to FindBook

Google Book

Amazon

博客來

Linear algebra and group theory for physicists and engineers

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear algebra and group theory for physicists and engineers/ by Yair Shapira.
Author:	Shapira, Yair.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xxxi, 441 p. :ill., digital ;24 cm.
[NT 15003449]:	Part I Introduction to Linear Algebra -- Vectors and Matrices -- Vector Product in Geometrical Mechanics -- Markov Chain in a Graph -- Special Relativity - Algebraic Point of View -- Part II Introduction to Group Theory -- Group Representation and Isomorphism Theorems -- Projective Geometry in Computer Graphics -- Quantum Mechanics - Algebraic Point of View -- Part III Polynomials and Basis Functions -- Polynomials and their Gradient -- Basis Functions: Barycentric Coordinates in 3-D -- Part IV Finite Elements in 3-D -- Automatic Mesh Generation -- Mesh Regularity -- Numerical Integration -- Spline: Variational Model -- Part V Advanced Applications in Physics and Chemistry -- Quantum Chemistry: Electronic Structure -- General Relativity: Einstein Equations -- References.
Contained By:	Springer eBooks
Subject:	Algebras, Linear. -
Online resource:	https://doi.org/10.1007/978-3-030-17856-7
ISBN:	9783030178567

Linear algebra and group theory for physicists and engineers
Shapira, Yair.

Linear algebra and group theory for physicists and engineers[electronic resource] /by Yair Shapira. - Cham :Springer International Publishing :2019. - xxxi, 441 p. :ill., digital ;24 cm.

Part I Introduction to Linear Algebra -- Vectors and Matrices -- Vector Product in Geometrical Mechanics -- Markov Chain in a Graph -- Special Relativity - Algebraic Point of View -- Part II Introduction to Group Theory -- Group Representation and Isomorphism Theorems -- Projective Geometry in Computer Graphics -- Quantum Mechanics - Algebraic Point of View -- Part III Polynomials and Basis Functions -- Polynomials and their Gradient -- Basis Functions: Barycentric Coordinates in 3-D -- Part IV Finite Elements in 3-D -- Automatic Mesh Generation -- Mesh Regularity -- Numerical Integration -- Spline: Variational Model -- Part V Advanced Applications in Physics and Chemistry -- Quantum Chemistry: Electronic Structure -- General Relativity: Einstein Equations -- References.

This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with applications to mechanics and statistics, followed by group theory with applications to projective geometry. Then, high-order finite elements are presented to design a regular mesh and assemble the stiffness and mass matrices in advanced applications in quantum chemistry and general relativity. This text is ideal for undergraduates majoring in engineering, physics, chemistry, computer science, or applied mathematics. It is mostly self-contained--readers should only be familiar with elementary calculus. There are numerous exercises, with hints or full solutions provided. A series of roadmaps are also provided to help instructors choose the optimal teaching approach for their discipline.

ISBN: 9783030178567

Standard No.: 10.1007/978-3-030-17856-7doiSubjects--Topical Terms:

521915
Algebras, Linear.

LC Class. No.: QA184.2 / .S537 2019

Dewey Class. No.: 512.5

Linear algebra and group theory for physicists and engineers
LDR:02848nmm a2200325 a 4500 001 2191547
003 DE-He213
005 20191031155443.0
006 m d
007 cr nn 008maaau
008 200504s2019 gw s 0 eng d
020 $a 9783030178567 $q (electronic bk.)
020 $a 9783030178550 $q (paper)
024 7 $a 10.1007/978-3-030-17856-7 $2 doi
035 $a 978-3-030-17856-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA184.2 $b .S537 2019
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.5 $2 23
090 $a QA184.2 $b .S529 2019
100 1 $a Shapira, Yair. $3 907883
245 1 0 $a Linear algebra and group theory for physicists and engineers $h [electronic resource] / $c by Yair Shapira.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2019.
300 $a xxxi, 441 p. : $b ill., digital ; $c 24 cm.
505 0 $a Part I Introduction to Linear Algebra -- Vectors and Matrices -- Vector Product in Geometrical Mechanics -- Markov Chain in a Graph -- Special Relativity - Algebraic Point of View -- Part II Introduction to Group Theory -- Group Representation and Isomorphism Theorems -- Projective Geometry in Computer Graphics -- Quantum Mechanics - Algebraic Point of View -- Part III Polynomials and Basis Functions -- Polynomials and their Gradient -- Basis Functions: Barycentric Coordinates in 3-D -- Part IV Finite Elements in 3-D -- Automatic Mesh Generation -- Mesh Regularity -- Numerical Integration -- Spline: Variational Model -- Part V Advanced Applications in Physics and Chemistry -- Quantum Chemistry: Electronic Structure -- General Relativity: Einstein Equations -- References.
520 $a This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with applications to mechanics and statistics, followed by group theory with applications to projective geometry. Then, high-order finite elements are presented to design a regular mesh and assemble the stiffness and mass matrices in advanced applications in quantum chemistry and general relativity. This text is ideal for undergraduates majoring in engineering, physics, chemistry, computer science, or applied mathematics. It is mostly self-contained--readers should only be familiar with elementary calculus. There are numerous exercises, with hints or full solutions provided. A series of roadmaps are also provided to help instructors choose the optimal teaching approach for their discipline.
650 0 $a Algebras, Linear. $3 521915
650 0 $a Group theory. $3 523248
650 1 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 891082
650 2 4 $a Mathematical Applications in Computer Science. $3 1567978
650 2 4 $a Group Theory and Generalizations. $3 893889
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-030-17856-7
950 $a Mathematics and Statistics (Springer-11649)