Calculus II

by Jerold Marsden, Alan Weinstein

The goal of this text is to help students leam to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is an outgrowth of our teaching of calculus at Berkeley, and the present edition incorporates many improvements based on our use of the first edition. We list below some of the key features of the book. Examples and Exercises The exercise sets have been carefully constructed to be of maximum use to the students. With few exceptions we adhere to the following policies. • The section exercises are graded into three consecutive (a) The first exercises are routine, modelIed almost exactly on the exam­ pIes; these are intended to give students confidence. (b) Next come exercises that are still based directly on the examples and text but which may have variations of wording or which combine different ideas; these are intended to train students to think for themselves. (c) The last exercises in each set are difficult. These are marked with a star (*) and some will challenge even the best students. Difficult does not necessarily mean theoretical; often a starred problem is an interesting application that requires insight into what calculus is really about. • The exercises come in groups of two and often four similar ones.

Genres: Mathematics

363 pages, Paperback

First published April 19, 1985

Reviews

[Rupendra Dhillon · Rating 5 out of 5]

Continued from where Book I in this series left off. Very good explanation of various methods of calculating Integrals. Great detail about hyperbolic and inverse hyperbolic functions. The applications and techniques of integration are well explained. I almost breezed through the Limits, L'Hopital's rule and Numerical methods as well as the chapter on Infinite series (which I loved thoroughly) because of how well they are written.

All over the book the examples do a fantastic job of bringing home a certain concept in my mind and helping me with understanding why something is b ing called out.

I had to look at external references when it came to Differential Equations in general - whether it is in First order equations in Chapter 8 or second order equations in Chapter 12. The material can be made a bit less terse and Differential equations can in general be collected in a single bucket as well.

At the end of the day it is an undergraduate series textbook and does a good job. if you are expecting the detail at the level of Apostle then this book might seem basic to you.