How Long to Read Elementary Mathematics from a Higher Standpoint

How Long Does it Take to Read Elementary Mathematics from a Higher Standpoint?

It takes the average reader 4 hours and 28 minutes to read Elementary Mathematics from a Higher Standpoint by Felix Klein

Assuming a reading speed of 250 words per minute. Learn more

Description

​These three volumes constitute the first complete English translation of Felix Klein’s seminal series “Elementarmathematik vom höheren Standpunkte aus”. “Complete” has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein’s far-reaching conception of elementarisation, of the “elementary from a higher standpoint”, in its implementation for school mathematics. In Volume III, Klein explores the relationship between precision and approximation mathematics. He crosses the various fields of mathematics – from functions in one and two variables to practical geometry to space curves and surfaces – underlining the relation between the exactness of the idealised concepts and the approximations to be considered in applications. Logical procedures are confronted with the way in which concepts arise starting from observations. It is a comparison between properties pertaining only to the theoretical field of abstract mathematics and properties that can be grasped by intuition. The final part, which concerns gestalt relations of curves and surfaces, shows Klein to be the master of the art of description of geometric forms.

How long is Elementary Mathematics from a Higher Standpoint?

Elementary Mathematics from a Higher Standpoint by Felix Klein is 259 pages long, and a total of 67,081 words.

This makes it 87% the length of the average book. It also has 82% more words than the average book.

How Long Does it Take to Read Elementary Mathematics from a Higher Standpoint Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 6 minutes to read Elementary Mathematics from a Higher Standpoint aloud.

What Reading Level is Elementary Mathematics from a Higher Standpoint?

Elementary Mathematics from a Higher Standpoint is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Elementary Mathematics from a Higher Standpoint?

Elementary Mathematics from a Higher Standpoint by Felix Klein is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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