Download Calculus: An Historical Approach by William McGowen Priestley (auth.) PDF

By William McGowen Priestley (auth.)

Show description

Read or Download Calculus: An Historical Approach PDF

Similar calculus books

Nonlinear Partial Differential Equations of Elliptic Type

The current publication relies on a one semester direction on the collage of Craiova. The target of this textbook is to supply the heritage that's essential to begin paintings on a Ph. D. thesis in utilized Nonlinear research. My goal is to supply for the coed a vast point of view within the topic, to demonstrate the wealthy number of phenomena encompassed by means of it and to impart a operating wisdom of an important recommendations of study of the recommendations of the equations.

Problems in Mathematical Analysis 1: Real Numbers, Sequences and Series

We study by way of doing. We study arithmetic by means of doing difficulties. This ebook is the 1st quantity of a chain of books of difficulties in mathematical research. it's in most cases meant for college students learning the fundamental rules of research. although, given its association, point, and choice of difficulties, it is going to even be an excellent selection for academic or problem-solving seminars, quite these aimed toward the Putnam examination.

Additional info for Calculus: An Historical Approach

Sample text

5. 6. Is 9 continuous at every point in its domain 7 Answer : Yes. 7. Consider the lunction f 01 Example 1. Is f continuous (a) at 07 (b) at -27 (c) at27 Give reasons justilying your answers. §9. Limits In everyday language the word limit has virtually the same meaning as bound. In calculus, however, it has a rather different meaning. The limit of a function, at a certain point, is (roughly speaking) wh at the function, at that point, is on the threshold of doing. * If c is the point in quest ion, then the limit of f at c is symbolized by Limitf(x), (9) or by Limf at c, and is found by investigating the action of f at points near c, while completely ignoring the value off at c.

3. 4. 5. 6. Is 9 continuous at every point in its domain 7 Answer : Yes. 7. Consider the lunction f 01 Example 1. Is f continuous (a) at 07 (b) at -27 (c) at27 Give reasons justilying your answers. §9. Limits In everyday language the word limit has virtually the same meaning as bound. In calculus, however, it has a rather different meaning. The limit of a function, at a certain point, is (roughly speaking) wh at the function, at that point, is on the threshold of doing. * If c is the point in quest ion, then the limit of f at c is symbolized by Limitf(x), (9) or by Limf at c, and is found by investigating the action of f at points near c, while completely ignoring the value off at c.

C) What is 1 + 2 + 3 + 4 + 5 + 6 + 7'1 (d) What is 1 + 2 + 3 + ... + l00? ) (e) What is the sum ofthe first n positive integers? 3. The following principle is self-evident: If the same amount is taken away from two figures having equal area, then the two modified figures have equal area. It is thought that Pythagoras might have employed this principle, as folIows: a b b b b The two large squares have equal area. Take away the four right triangles, use the principle above, and it becomes clear" that c2 = a 2 + b2 .

Download PDF sample

Rated 4.88 of 5 – based on 26 votes