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Книга Infinite Processes A. Gardiner

Infinite Processes

Background to Analysis

Автор: A. Gardiner
Език: Английски език
Корици: С меки корици
Издател: Springer, Berlin
Наличност: Външен склад в ограничено количество
Изпращаме след 11-15 дни
59.29 € 115.97 лв
What shall we say of this metamorphosis in passing from finite to infinite? Galileo, Two New Science...

Информация за книгата

Автор
A. Gardiner
Език
Английски език
Корици
Книга - С меки корици
Издадена
2011
страници
306
EAN
9781461256564
ISBN
1461256569
Enbook ID
02179472
Издател
Springer, Berlin
Теглоt
492
Размери
155 x 235 x 17

Пълно описание

What shall we say of this metamorphosis in passing from finite to infinite? Galileo, Two New Sciences As its title suggests, this book was conceived as a prologue to the study of "Why the calculus works"--otherwise known as analysis. It is in fact a critical reexamination of the infinite processes arising in elementary math ematics: Part II reexamines rational and irrational numbers, and their representation as infinite decimals; Part III examines our ideas of length, area, and volume; and Part IV examines the evolution of the modern function-concept. The book may be used in a number of ways: firstly, as a genuine pro logue to analysis; secondly, as a supplementary text within an analysis course, providing a source of elementary motivation, background and ex amples; thirdly, as a kind of postscript to elementary analysis-as in a senior undergraduate course designed to reinforce students' understanding of elementary analysis and of elementary mathematics by considering the mathematical and historical connections between them. But the contents of the book should be of interest to a much wider audience than this including teachers, teachers in training, students in their last year at school, and others interested in mathematics.

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