Advanced mathematical analysis, richard beals advanced. Klaus janich vector analysis translated by leslie kay with 108 illustrations springer. Every chapter contains useful exercises for the students. Vector analysis mathematical association of america. Thus the book is not intended as a complete exposition of the theory of vector analysis, bu t as a.
Like the linear algebra quoted above, this book is written in a light. The aim of this book is to facilitate the use of stokes theorem in applications. It also is one of the subjects that has the largest number of dramatically different incarnations. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this. Calculate dot product, cross product, norm, projection, angle, gradient. Vector analysis, a textbook for the use of students of mathematics and physics, founded upon the lectures of j. Janich s exposition and mathematical taste are, as always, impeccable. Get your kindle here, or download a free kindle reading app. Students should contact instructor for the updated information on current course syllabus, textbooks, and. Vector analysis or vector calculus, as it is sometimes known, is one of the most fascinating subjects in the undergraduate mathematics curriculum. Ace your physics here with revision notes and practice questions for gce oa level. The hatcheresque style of writing in this particular text though isnt.
Janich s chapter 10 discusses classical vector analysis, relating stokess theorem in its modern form to the classical integrals theorems of vector analysis. Buy vector analysis undergraduate texts in mathematics on. Before you comment, i know a few things i can work on so if you have anything other than that, id appreciate constructive criticism. For the love of physics walter lewin may 16, 2011 duration. Schematic illustration of dot, cross and dotcross products of vec. Vector analysis by klaus janich and a great selection of related books, art and collectibles available now at vector analysis by klaus janich, klaus jhanich. Vector analysis undergraduate texts in mathematics by klaus janich. Seeking advanced vector analysis text mathematics stack. Topology undergraduate texts in mathematics by klaus janich.
Contents preface to the english edition preface to the first german edition v vii differentiable manifolds 1 1. Vector by janich abebooks vector analysis undergraduate texts in mathematics by j nich, klaus and a great selection of similar used, new and collectible books available now at. Math 3335 vector analysis this is a course guideline. Classical vector analysis deals with vector fields. Springer have made a bunch of books available for free, here are.