Modern Calculus and Analytic Geometry (Dover Books on Mathematics)

Good book at low price. Plenty of worked examples

Dr. Richard A.Silverman was truly a one-of-a-kind scholar, teacher, mathematician, and gentleman with a keen grasp of just how to bring some of the more complicated formalisms of modern mathematics at least within reasonable and graspable proximity of his many students. I must admit that I did not use Dr. Silverman's book in studying the differential and integral calculus. I only wish that I had, particularly because of Dr. Silverman's unique ability to gently get his students involved with problem-solving. In the process of this latter, he rarely if ever forgot the necessary intermediate steps of, say, a proof or the solution of a worked out example. If ever there was a man who was the living antithesis of those who are more prone to the villainously overworked phrase "it can be easily shown that..", it was Dr. Silverman. It is as if he could easily anticipate those areas of a mathematical discussion which could potentially prove problematic to his young charges in the classroom or those who would eventually study his printed works. Why, the very girth of this work on calculus and analytic geometry alone gives visible testimony to the fact that he is not one to shy away from a clear, albeit at times lengthy, but truly understandable presentation of many a careful explanation of the nature and use of mathematical formalism and problem-solving techniques. I unreservedly recommend this particular work to any student seriously intent upon mastering the rudiments of integral and differential calculus, as well as analytic geometry.

There are things that the author left out. I do not know if it is because of when the book was written or if the author did not think that they were important topics. However, overall if you are learning calculus for the first time. This will be an incredible resource for you. It is unbeatable for the price. I tutor calculus and this is the book that I use. It is an amazing book to teach from. Barring the omissions, the author does an amazing job explaining the material.

I bought the Kindle version of this book and so far, in the first couple chapters, there are quite a few errors in the formulas do to typos and what not that are making some of the examples rather confusing. There are also several places where a little more explanation would have been awesome. The solution is kind of shown but no steps on how they got there are shown which means you are left trying to figure things out on your own at times...

It is a pretty thorough book covering multiple important subjects in calculus. I learned much from it.

Very Informative Book

The book does format is hard to read. Would be better to buy the book.

High quality and delivered on time.

It covers many topics, but it is a bit concise for a person who wants to study on their own.

Didactico, al grano, demostraciones incluidas... Una de las mejores introducciones al calculo , junto con Morris Kline, mas intuitivo Para matematicos SPIVAK sin duda. Para fisicos o ingenieros futuros

This is an excellent calculus book. My impression is that it was written by someone who thought about the subject for many years, and collected a large set of problems which are approachable, entertaining and get to the heart of the subtleties of the subject. The writing style is clear with lots of illuminating examples. My only non positive comment is that Taylor series and series in general are left right to end. Other famous calculus books do these (e.g. Spivak) but I wish they wouldn't, because series provide simpler methods for solving earlier problems and are so practically useful. Burkill defines exp(x) as its series early on, and this has many benefits.