H.M. Schey. Div, grad, curl, and all that. An informal text on vector calculus

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размер 33.74 МБ
добавлен 25 июля 2011 г.

H. M. Schey. Div, grad, curl, and all that. An informal text on vector calculus.
Эта книга написана на английском языке. Она отличается от большинства русских изданий простотой изложения таких, сложных на первый взгляд, математических понятий, как дивергенция, ротор и градиент. Это является предметом, из которого слишком много авторов и учителей сделали «тяжелую погоду». Автор стремится смягчить математическую суровость, которая является препятствием к изучению этого предмета на первых порах, и обращается в максимально возможной степени к физической и геометрической интуиции.
В книге предмет векторного исчисления представлен в контексте простой электростатики. Для изучения векторного исчисления надо знать немного или почти ничего об электростатике. Чтобы читать и понимать этот текст, не требуется никакого очень большого знания физики: вовлечены только самые простые особенности электростатики, и они представлены в нескольких первых страницах книги.
Однако Вы должен знать, как работать с функциями нескольких переменных, частные производные и кратные (двойной и тройной) интегралы, и кроме того кое что о векторах: определение вектора, сложение и вычитание векторов, скалярное и векторное произведения векторов, и наконец, разложение векторов на компоненты.

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