National　Health - 数学 1

This book presents the theory of fractional calculus formulated by an operator-based method. The differentiation operator in the classical calculus is extended to a general linear operator which satisfies Leibniz's rule. The key idea in this theory is to consider a sequence of functions produced b……続きを見る

summary statement Fractional calculus is an extension of differentiation and integration to fractional order. The birth of fractional calculus was in almost the same times as differential and integral calculus. Therefore, the study of fractional calculus has a long history over three centuries. T……続きを見る

This book is a monograph on the theory of fractional calculus formulated by an operator-based method. The differential operator in the classical fractional calculus is extended to a general linear operator which satisfies Leibniz's rule. The key idea in this theory is a function sequence produced ……続きを見る

The subject of this book is the fractional calculus which treats differentiation and integration to fractional order. This book presents a new approach to the fractional calculus being based on linear differentiator-like operators to arbitrary order. In this book, many theorems, corollaries, and l……続きを見る

全編英語の常微分方程式(ODE)の教科書。自然現象の数理モデルの例とともに常微分方程式の解法とPythonを使った数値計算法を学ぶ。〔内容〕1st Order ODE／2nd Order ODE／Numerics for ODEs／ODE and Chaos続きを見る