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Automata, Formal Languages And Algebraic Systems - Proceedings Of Aflas 2008 (Hardcover): Masami Ito, Yuji Kobayashi, Kunitaka... Automata, Formal Languages And Algebraic Systems - Proceedings Of Aflas 2008 (Hardcover)
Masami Ito, Yuji Kobayashi, Kunitaka Shoji
R2,630 Discovery Miles 26 300 Ships in 12 - 17 working days

This volume consists of papers selected from the presentations at the workshop and includes mainly recent developments in the fields of formal languages, automata theory and algebraic systems related to the theoretical computer science and informatics. It covers the areas such as automata and grammars, languages and codes, combinatorics on words, cryptosystems, logics and trees, Grobner bases, minimal clones, zero-divisor graphs, fine convergence of functions, and others.

Linear Algebra with Python - Theory and Applications (1st ed. 2023): Makoto Tsukada, Yuji Kobayashi, Hiroshi Kaneko, Sin-Ei... Linear Algebra with Python - Theory and Applications (1st ed. 2023)
Makoto Tsukada, Yuji Kobayashi, Hiroshi Kaneko, Sin-Ei Takahasi, Kiyoshi Shirayanagi, …
R1,525 Discovery Miles 15 250 Ships in 9 - 15 working days

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.

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