Calculus (complete) by Edwin E. Moise (PDF)

Description

This book includes Part I, Functions of One Variable and Part II, Infinite Series, Linear Algebra, and Functions of Several Variables. 788 pages.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book deserves to be recognized as one of the best calculus texts ever written and gets myhighest possible recommendation. Moise was a world famous geometer and professor of mathematics at Harvard.It is a crime that Stewart’s book is on everyone’s shelf these days and thisbook (if you are lucky) exists only as a single worn dusty copy on the shelf of your local university library (and as a point of reference the Cal Tech library no longer has a copy of this book).There are two branches of calculus texts, the first is the applied branchconsisting of books such as Strang and Thomas and the second branch consists of the texts that encroach on real analysis such as Spivak, Apostol, or Courant.Where does this book fit in the mix? Its center of mass is closer to the second branch but it is quite a bitmore elementary than Spivak and is more focused on using the techniques of calculus to solve physical problems. It not only covers all the usual Calculus 101 topics but also wanders throughterritory outside themainstream and discusses the relationship between polynominals/partial fraction decomposition and the integers, mathematical induction, linear algebra and matrices, complex numbers, Fourier series, and basic ideas of multivariable calculus. Surprisingly, given its depth and extent of coverage, it is also much shorter andlighter (under 800 pages and about 2 lbs) thanyour modern 5 pound multi-colored 1200+ page calculus book. If your goal is to obtain a deep understanding of calculus this book is an absolute must have. This book would also beappreciated by those who already know calculus but want to see how the subject was presented by a master of mathematics.If you like Moise, check out Calculus by Bers, Calculus with an Introduction to Linear Algebra by Hocking, and Calculus by Lax / Burstein / Lax. These classic texts by world famous mathematicians absolutely blow away the modernwatered down treatment of Calculus as presented in Stewart. Another excellent old Calculus text is the 2nd edition of Calculus and Analytic Geometry by Schwartz of City College of New York. This is a finetext that is more mainstream and traditional (for example, Moise, Bers, and Hocking all take issue due with writing the chain rule in its most suggestive and understandable form dy/dx = (dy/du)*(du/dx) whereas Schwartz does not)and geared toward applications in the physical sciences. Good Luck !

⭐I first read Mr. Moise’s calculus book back in 1968, when I was in college. This book saved me from failing calculus. The professor who taught the course did not know how to teach, and he routinely failed 70% of the students for each class he taught. He was famous for doing this, and he didn’t care because he had tenure, and could not be fired by the university. So he didn’t care if you learned calculus or not. I had no choice but to attempt to read the textbook, in order to try to pass the course. As it turned out, that was one of the best decisions I ever made. This book is wonderful. It’s so clear and logical in it’s presentation, that you cannot help but learn calculus. All you have to do is read it line by line, without skipping anything, and you will learn calculus. Thank you Mr. Moise. I’m sure he’s probably passed on by now, but I wanted to thank him anyway, for making the complex so clear and simple. I got a “B” on my final exam. This in a class, where more than 1/2 of the class failed that same final exam.

⭐Easily the best Calculus book I’ve used. Comprehensive, funny, rigorous and smart; taking time out to let the student smell the roses, kick the tires and occasionally learn a little about the history of Calculus and Mathematics. Compare, for example, the methodology for showing the lim sin x/x = 1, most textbooks including my 2nd Edition Stewart use areas of triangles and the squeeze theorem, Moise approaches it from the definition of the length of a circular arc.Can’t recommend this book enough for anyone looking to learn or brush up on their Calculus or who finds their assigned textbook lacking and wants an alternative reference work.

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