國立虎尾科技大學 |

Linear algebra with Python = theory and applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Linear algebra with Python/ by Makoto Tsukada ... [et al.].
其他題名:	theory and applications /
其他作者:	Tsukada, Makoto.
出版者:	Singapore :Springer Nature Singapore : : 2023.,
面頁冊數:	xv, 309 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Algebras, Linear - Data processing. -
電子資源:	https://doi.org/10.1007/978-981-99-2951-1
ISBN:	9789819929511

Linear algebra with Python = theory and applications /
Linear algebra with Pythontheory and applications /[electronic resource] :by Makoto Tsukada ... [et al.]. - Singapore :Springer Nature Singapore :2023. - xv, 309 p. :ill., digital ;24 cm. - Springer undergraduate texts in mathematics and technology,1867-5514. - Springer undergraduate texts in mathematics and technology..

Mathematics and Python -- Linear Spaces and Linear Mappings -- Basis and Dimension -- Matrices -- Elementary Operations and Matrix Invariants -- Inner Product and Fourier Expansion -- Eigenvalues and Eigenvectors -- Jordan Normal Form and Spectrum -- Dynamical Systems -- Applications and Development of Linear Algebra.

This textbook is for those who want to learn linear algebra from the basics. After a brief mathematical introduction, it provides the standard curriculum of linear algebra based on an abstract linear space. It covers, among other aspects: linear mappings and their matrix representations, basis, and dimension; matrix invariants, inner products, and norms; eigenvalues and eigenvectors; and Jordan normal forms. Detailed and self-contained proofs as well as descriptions are given for all theorems, formulas, and algorithms. A unified overview of linear structures is presented by developing linear algebra from the perspective of functional analysis. Advanced topics such as function space are taken up, along with Fourier analysis, the Perron-Frobenius theorem, linear differential equations, the state transition matrix and the generalized inverse matrix, singular value decomposition, tensor products, and linear regression models. These all provide a bridge to more specialized theories based on linear algebra in mathematics, physics, engineering, economics, and social sciences. Python is used throughout the book to explain linear algebra. Learning with Python interactively, readers will naturally become accustomed to Python coding. By using Python's libraries NumPy, Matplotlib, VPython, and SymPy, readers can easily perform large-scale matrix calculations, visualization of calculation results, and symbolic computations. All the codes in this book can be executed on both Windows and macOS and also on Raspberry Pi.

ISBN: 9789819929511

Standard No.: 10.1007/978-981-99-2951-1doiSubjects--Topical Terms:

528139
Algebras, Linear
--Data processing.

LC Class. No.: QA185.D37

Dewey Class. No.: 512.502855133

Linear algebra with Python = theory and applications /
LDR:02933nam a2200337 a 4500 001 1120438
003 DE-He213
005 20231206191939.0
006 m d
007 cr nn 008maaau
008 240612s2023 si s 0 eng d
020 $a 9789819929511 $q (electronic bk.)
020 $a 9789819929504 $q (paper)
024 7 $a 10.1007/978-981-99-2951-1 $2 doi
035 $a 978-981-99-2951-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA185.D37
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.502855133 $2 23
090 $a QA185.D37 $b L754 2023
245 0 0 $a Linear algebra with Python $h [electronic resource] : $b theory and applications / $c by Makoto Tsukada ... [et al.].
260 $a Singapore : $c 2023. $b Springer Nature Singapore : $b Imprint: Springer,
300 $a xv, 309 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer undergraduate texts in mathematics and technology, $x 1867-5514
505 0 $a Mathematics and Python -- Linear Spaces and Linear Mappings -- Basis and Dimension -- Matrices -- Elementary Operations and Matrix Invariants -- Inner Product and Fourier Expansion -- Eigenvalues and Eigenvectors -- Jordan Normal Form and Spectrum -- Dynamical Systems -- Applications and Development of Linear Algebra.
520 $a This textbook is for those who want to learn linear algebra from the basics. After a brief mathematical introduction, it provides the standard curriculum of linear algebra based on an abstract linear space. It covers, among other aspects: linear mappings and their matrix representations, basis, and dimension; matrix invariants, inner products, and norms; eigenvalues and eigenvectors; and Jordan normal forms. Detailed and self-contained proofs as well as descriptions are given for all theorems, formulas, and algorithms. A unified overview of linear structures is presented by developing linear algebra from the perspective of functional analysis. Advanced topics such as function space are taken up, along with Fourier analysis, the Perron-Frobenius theorem, linear differential equations, the state transition matrix and the generalized inverse matrix, singular value decomposition, tensor products, and linear regression models. These all provide a bridge to more specialized theories based on linear algebra in mathematics, physics, engineering, economics, and social sciences. Python is used throughout the book to explain linear algebra. Learning with Python interactively, readers will naturally become accustomed to Python coding. By using Python's libraries NumPy, Matplotlib, VPython, and SymPy, readers can easily perform large-scale matrix calculations, visualization of calculation results, and symbolic computations. All the codes in this book can be executed on both Windows and macOS and also on Raspberry Pi.
650 0 $a Algebras, Linear $x Data processing. $3 528139
650 0 $a Python (Computer program language) $3 566246
650 1 4 $a Linear Algebra. $3 1207620
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Python. $3 1115944
700 1 $a Tsukada, Makoto. $3 1435721
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Springer undergraduate texts in mathematics and technology. $3 1021402
856 4 0 $u https://doi.org/10.1007/978-981-99-2951-1
950 $a Mathematics and Statistics (SpringerNature-11649)