國立虎尾科技大學 |

Linear Algebra and Group Theory for Physicists and Engineers

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Linear Algebra and Group Theory for Physicists and Engineers/ by Yair Shapira.
作者:	Shapira, Yair.
面頁冊數:	XXI, 441 p. 93 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Matrix theory. -
電子資源:	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. - 1st ed. 2019. - XXI, 441 p. 93 illus., 1 illus. in color.online resource.

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:

1023862
Matrix theory.

LC Class. No.: QA184-205

Dewey Class. No.: 512.5

Linear Algebra and Group Theory for Physicists and Engineers
LDR:03241nam a22003975i 4500 001 1011238
003 DE-He213
005 20200704073654.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030178567 $9 978-3-030-17856-7
024 7 $a 10.1007/978-3-030-17856-7 $2 doi
035 $a 978-3-030-17856-7
050 4 $a QA184-205
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
100 1 $a Shapira, Yair. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 681820
245 1 0 $a Linear Algebra and Group Theory for Physicists and Engineers $h [electronic resource] / $c by Yair Shapira.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2019.
300 $a XXI, 441 p. 93 illus., 1 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Matrix theory. $3 1023862
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Computer science—Mathematics. $3 1253519
650 0 $a Computer mathematics. $3 1199796
650 0 $a Group theory. $3 527791
650 1 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
650 2 4 $a Mathematical Applications in Computer Science. $3 815331
650 2 4 $a Group Theory and Generalizations. $3 672112
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030178550
776 0 8 $i Printed edition: $z 9783030178574
776 0 8 $i Printed edition: $z 9783030178581
856 4 0 $u https://doi.org/10.1007/978-3-030-17856-7
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)