Calculus

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While commonly used in college courses, it can also be suitable for self-study with a strong foundation in algebra and trigonometry. Many problems are so difficult, especially if the hints are not consulted, that the best of students will probably have to attempt only those which especially interest them; from the less difficult problems it should be easy to select a portion which will keep a good class busy, but not frustrated.

There are in all about 160 new problems, many of which are intermediate in difficulty between the few routine problems at the beginning of each chapter and the more difficult ones that occur later.There are better books on mathematics around, but this is (still) perhaps the best single volume on calculus.

This book makes you go from struggling in abstraction to realizing that the whole field is intuitive and useful.A poor condition book can still make a good reading copy but is generally not collectible unless the item is very scarce. As other posters have said, if you are going to be a mathematics or physics major, there is no reason to even look at another calculus text. I expect to solve a good amount of hard calculus problems so I would choose whichever has more problems. A separate answer book contains the solutions of the other parts of these problems, and of all the other problems as well. It is probably obvious that an appeal to Pl will also suffice to prove the equality of the 14 possible ways of summing five numbers, but it may not be so clear how we can reasonably arrange a proof that this is so without actually listing these 14 sums.

In preparation for this, the old Appendix to Chapter 4 has been replaced by three Appendices: the first two cover vectors and conic sections, while polar coor­ dinates are now deferred until the third Appendix, which also discusses the polar coordinate equations of the conic sections. Spivak's celebrated Calculus combines leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort.

As we have just hinted, it is convenient to regard subtraction as an operation derived from addition: we consider a — b to be an abbreviation for a + (—b). Derivatives and Integrals 9 Derivatives 149 10 Differentiation 168 11 Significance of the Derivative 188 Appendix. Needles to say, they are not responsible for the deficiencies which remain, especially since I sometimes rejected suggestions which would have made the book appear suitable for a larger group of students. I have to make this disclaimer because sadly, in today's day and age, it is almost too much to ask of someone.

It focuses on developing a strong theoretical understanding of calculus rather than just teaching problem-solving techniques. It is the very paragon of both coldly beautiful terseness and the warmth that accompanies a clear stream of thought moving rationally from one idea to another. It is a good book for interesting problems, however this treatment will not make you any more successful in a Calculus course, perhaps the opposite since you are likely to be in a course that treats Calculus in a different way.By using the Web site, you confirm that you have read, understood, and agreed to be bound by the Terms and Conditions. When considering the sums of three numbers a, b, and c, only two sums were mentioned: (a + b) + c and a + (b + c). The statement of this property clearly renders a separate concept of the sum of three numbers superfluous; we simply agree that a + b + c denotes the number a + (b + c) = (a + b) + c. Most purchases from business sellers are protected by the Consumer Contract Regulations 2013 which give you the right to cancel the purchase within 14 days after the day you receive the item.