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Linear Algebra with Python

Name: Linear Algebra with Python
Brand: Springer Nature Singapore
SKU: 47031907
Price: 60.27 EUR
Availability: InStock
Author: Yuji Kobayashi
ISBN: 9789819929535

Jazyk

Angličtina

Kniha Brožovaná

Libristo kód: 47031907

Nakladateľstvo Springer Nature Singapore, december 2024

This textbook is for those who want to learn linear algebra from the basics. After a brief mathemati... Celý popis

Libristo kód: 47031907

147 b

60.27 €

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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.