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A First Course in Differential Geometry, by Chuan-Chih Hsiung
Get Free Ebook A First Course in Differential Geometry, by Chuan-Chih Hsiung
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This book is designed to introduce differential geometry to beginning graduate students as well as to advanced undergraduate students. In the last couple of decades, differential geometry, along with other branches of mathematics, has been greatly developed. In this book we will study only the traditional topics: namely, curves and surfaces in a three-dimensional Euclidean space E3. Unlike most classical books on the subject, however, more attention is paid here to the relationships between local and global properties, as opposed to local properties only. Although we restrict our attention to curves and surfaces in E3, most global theorems for curves and surfaces in this book can be extended to higher dimensional spaces, to more general curves and surfaces, or to both. Moreover, geometric interpretations are given along with analytic expressions. This enables students to make use of geometric intuition, which is a precious tool for studying geometry and related problems.
- Sales Rank: #1812348 in Books
- Published on: 2013-10-10
- Dimensions: 10.00" h x .82" w x 7.00" l, 1.72 pounds
- Binding: Paperback
- 362 pages
Most helpful customer reviews
19 of 19 people found the following review helpful.
Finally, a book on differential geometry for someone who doesn't already know it.
By Phillip C. Adkins
I have been looking for a really long time for a decent introduction to differential geometry. I rate this one 5 stars just because out of all the books I have gotten from my school library (probably about 10 by now), this one is the only one I have seen that doesn't assume that you already are good with all the shorthand notation that is often used in texts on differential geometry. It has been really frustrating to find a simple explanation of the symbols used in most of these books, and none of them, though they claimed to be introductions to the topic, ever really explained themselves adequately. Basically, this book has been the only one so far that has been able to bridge the gap for me between the sort of undergraduate mathematics I am used to and differential geometry. I had previously felt like there was this nearly impenetrable barrier - created by some sort of inner circle that I had to belong to, either by taking a class or having it explained to me by someone who was already familiar with it - that I was just going to have to but my head up against until I broke it down.
But fortunately this book came along, which has made the whole thing very simple for me, and is at just the right level so that when I finish it off, I can go off into those other textbooks that seemed to have been written in a different language and be able to understand what they are saying!
I give this book a 5 star rating for the above reasons, coupled with the fact that this book actually has all the answers (nearly) for the problems in the back - why on earth don't most books just put the darned answers in the back? Otherwise, how do you know if you are doing the problems correctly, I think its rather ridiculous - I surely learn the most when I see that I have done a problem the wrong way, and I go hunting for errors, and usually either find something trivial, or have to rework my entire conception of the idea - which would be impossible without the answers! Either way, this is a good book that really takes you from the basics and gets you into the door on this interesting subject!
0 of 1 people found the following review helpful.
Needlessly complicating
By Carolyn Rhodes
The shipping of the book was timely and the cost was fine - the actually textbook is horrible. I spend more time trying to figure out what figure, definition or example the author is referring to than I do actually trying to understand the material. My professor has to give out page numbers for the homework because instead of assigning #1-6 of section 2.1 as you'd say in other textbooks, you have to say do #1-6 of chapter 2 section 2.2.1. I'm sure it sounds petty, but I really would like something straightforward in the formatting when I'm trying to approach a subject I've never seen before.
0 of 7 people found the following review helpful.
Five Stars
By Thomas R. Schulte
Excellent book and excellent service!
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