A course dealing with the fundamental theorems of infinitesimal calculus in a rigorous manner is now recognized as an essential part of the training of a mathematician. It appears in the curriculum of nearly every university, and is taken by students as "Advanced Calculus" in their last collegiate year, or as part of "Theory of Functions" in the first year of graduate work. This little volume is designed as a convenient reference book for such courses; the examples which may be considered necessary being supplied from other ...
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A course dealing with the fundamental theorems of infinitesimal calculus in a rigorous manner is now recognized as an essential part of the training of a mathematician. It appears in the curriculum of nearly every university, and is taken by students as "Advanced Calculus" in their last collegiate year, or as part of "Theory of Functions" in the first year of graduate work. This little volume is designed as a convenient reference book for such courses; the examples which may be considered necessary being supplied from other sources. The book may also be used as a basis for a rather short theoretical course on real functions, such as is now given from time to time in some of our universities.The general aim has been to obtain rigor of logic with a minimum of elaborate machinery.It is hoped that the systematic use of the Heine-Borel theorem has helped materially toward this end, since by means of this theorem it is possible to avoid almost entirely the sequential division or "pinching" process so common in discussions of this kind. The definition of a limit by means of the notion "value approached" has simplified the proofs of theorems, such as those giving necessary and sufficient conditions for the existence of limits, and in general has largely decreased the number of "'s and _'s. The theory of limits is developed for multiple-valued functions, which gives certain advantages in the treatment of the definite integral.
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Add this copy of Introduction to Infinitesimal Analysis, Functions of to cart. $14.00, very good condition, Sold by BingoBooks2 rated 4.0 out of 5 stars, ships from Vancouver, WA, UNITED STATES, published 1935 by stechert.
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Very Good. Reprint of 1907. Very good Hardback has light yellowing, no dustwrapper. Please Note: This book has been transferred to Between the Covers from another database and might not be described to our usual standards. Please inquire for more detailed condition information.
Add this copy of Introduction to Infinitesimal Analysis Functions of One to cart. $34.95, very good condition, Sold by Basement Seller 101 rated 5.0 out of 5 stars, ships from Cincinnati, OH, UNITED STATES, published 1935 by Unknown.
