Download Ebook Introduction to Graph Theory (Dover Books on Mathematics)
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Introduction to Graph Theory (Dover Books on Mathematics)
Download Ebook Introduction to Graph Theory (Dover Books on Mathematics)
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Product details
Series: Dover Books on Mathematics
Paperback: 224 pages
Publisher: Dover Publications; 2nd edition (February 9, 1994)
Language: English
ISBN-10: 0486678709
ISBN-13: 978-0486678702
Product Dimensions:
5.5 x 0.5 x 8.5 inches
Shipping Weight: 8.8 ounces (View shipping rates and policies)
Average Customer Review:
4.4 out of 5 stars
91 customer reviews
Amazon Best Sellers Rank:
#26,271 in Books (See Top 100 in Books)
This book is a gem to be sure. However, you need to appreciate what it is, and--just as importantly--what it isn't.I feel that, by re-titling the book "Introduction to Graph Theory", Dover has done this particular book a bit of a disservice. It is not in anyway comprehensive overview of Graph Theory, and it doesn't pretend to be. The content covered in this entire book is incredibly cursory, as has been mentioned before in many reviews, and constitutes perhaps 3 or 4 chapters worth of content in a more traditional book on Graph Theory. Of course, what content it does cover is treated very well, and I would highly recommend anyone interested in graph theory to pay the few bucks this book costs, and read it over as a precursor to a more rigorous and well-developed work on the subject. But, bear in mind that I do not see this as the primary purpose of the book.So, if this book isn't an overview of graph theory, then what is it? I feel as though this book uses graph theory as a vehicle to teach something far more general: the joy of mathematics. The book is littered with references to what mathematics is, and how mathematics works. It encourages people to view math not as a series of formulas and processes to be memorized, but as a game. A game that has very few rules, and a massive amount of freedom of experimentation.To that end, I think that the selection of graph theory as a narrative vehicle was a stroke of genius on the part of Trudeau. As an educator, the biggest problem that I've found with trying to teach mathematics is that students simply convince themselves that they are no good with numbers--and as a result they completely stunt their own mathematical growth. By focusing on graph theory, Trudeau teaches the important elements of mathematics: logic, creative thinking, proof, etc. without the stigma that comes with using numbers.Obviously there are numbers involved, but in general the topic of graph theory is different enough from that of standard arithmetic and algebra that it gives students a chance to actually engage with and learn mathematics, without constantly shooting themselves in the foot due to their fear of "normal" math. The lessons learned here can then serve as a basis to improve their mathematical skills in those "normal" branches of mathematics. Or, at the very least, the lessons might help them see mathematics in a new light.
This is an AMAZING book, the authors style is so clear, fun and entertaining, without much mathematical rigor. This is an excelent introduction to graph theory if I may say. Im an electrical engineer and been wanting to learn about the graph theory approach to electrical network analysis, surprisingly there is very little information out there, and very few books devoted to the subject. I started reading what is considered the reference in graph theory applied to electrical networks, namely "Linear Graphs and Electrical Networks" by Seshu and Reed, that book may be great when it comes to electrical networks, but it is just painful when explaining graph theory, just theorem after theorem followed by lengthy abstract proofs of such theorems. So I decided to look for something different to understand the basics of graph theory in a simpler way, and thus I found this book by Prof. Truedeau.This book is very well written, it has many examples and I never felt that the author skipped steps and assumed that the reader would fill in the blanks, everything is very detailed. The author seems to have a genuine interest on making things clear for the reader rather than displaying his vast knowledge on the subject. I must say however that I was disapointed that the book does not cover directed graphs, which are in fact needed for electrical network analysis and other physics related problems, yet most of the basics of graph theory are there. However I did fail to see basic concepts such as a "tree" (hidden under "open hamilton walk"), a "cut-set", the "rank" of a graph or the "nullity" of a graph and such, perhaps they are buried inside some of the end-of-chapter problems but I doubt it, some people may consider the use of such concepts belonging to a more advance graph theory book, although I think they are essential.Many chapters of the book are dedicated to the subject of planarity vs non planarity, and some basic concepts as the ones mentioned in the paragraph above were left out.This book by Prof. Trudeau has zero applied math examples, in fact the author begins the book by stating this is a purely mathematical book, however it serves as a great foundation for anyone wanting to understand graph theory. If you are like me, who is mostly interested in applied graph theroy, this book alone will not be enough, however this book is great to understand the basics of perhaps more difficult books on applied graph theory.So overall this is an amazing book, and the price is so low that makes this book a complete bargain, I highly recommend it.
This is a superb first introduction to graph theory. It's highly accessible and easy to follow; personally, it helped me get interested in a topic I thought I hated but realized after study that I just hadn't had a good introduction to it. If you're looking for a place to start, or a good overview of the field, this is the book to start with; it's definitely prepared me for more advanced reading in the field.It's definitely elementary, so you might want to read more about the topic later (especially if you're interested in computer science applications like graph algorithms, which aren't covered), but if you haven't read much about the topic, are teaching yourself, or haven't taken topology yet, this is a great place to start. (Heck, maybe an overview of the field is all you actually want/need).The only odd thing structurally is that, when this book was initially going to press, the four-color theorem had just been proven. Rather than revise the appropriate section they chose to add an appendix describing the proof. It would've been a little better, in my opinion, to just revise the chapter in question.
If you wanna go HAM on some graphs this problem set is amazing. Ideas build on each other and the small incremental discoveries you make interlock and lead to more exciting discoveries that honesty have me turnt on some graphs.
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