Various Books

“There is no friend as loyal as a book.” - Ernest Hemingway

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Favourite Books

Amongst my favorite books are mathematical reads - both technical and recreational. I would classify technical reads as those that consists of presentation of proofs which require knowledge or familiarity in a field of mathematics; eg. arguments from mathematical analysis - which often can get pretty involved ( perhaps I just prefer "discrete mathematics" over the continuous ). The recreational reads are, to me, those readings which ( more to come ) do not necessarily require "advanced" knowledge ( from say upper division mathematics courses ) and all the knowledge needed are established in the book in a way accessible to most high school students ( although the more knowledge one has, the better as one can see the connections that the author makes ). Below, I shall present books mainly from the second category ( the mathematical periodicals contain a mix of both technical and recreational forms of articles ).

Books worth Sharing

Why not the above gallery of books? They're all leisurely reads, except perhaps the mathematical periodicals. Even then, there are surely articles within these periodicals that require much "advanced" mathematics. To motivate the uninitiated, these periodicals can serve to springboard interested readers deeper into specific fields. So if love the beauty and elegance of number-theoretical problems or ideas, these periodicals can serve as motivations into studying Number Theory and Algebra - in which many of the results in the former arise naturally when studying Algebra.


Love and Math, written by Berkeley Mathematic faculty Edward Frenkel, is ( last thing/writing I need to add: I might add more to this but otherwise this section probably will remain incomplete )


If you have or desire a informal and light introduction to Mathematical Logic or Metamathematics ( or the Foundations of Mathematics ), Godel, Escher, Bach is an excellent read. Albeit slightly as large in appearance as most Harry Potter books, one would gain tremendous insight into not only Mathematical Logic/Metamathematics but also its strange and loopy connections to art and music. The author's wisdom


Flatland introduces readers the concept of dimension in a clear, intuitive way. This book's especially recommended to readers who are interested in visuals, geometry, and mathematics - specifically, how they're all intertwined. Salient are the ideas presented in this book are the most basic in understanding Topology, a branch of mathematics which studies spaces and shapes.


Secrets of Mental Math is probably the easiest of the books presented in the above gallery. Requiring just elementary high school algebraic arithmetic, this book attempts to present a handful of useful tricks and nibnets in performing arithmetic in one's head. I believe that the most "advanced" concept presented in this book is the idea of "modular arithmetic" - or, perhaps, in more familiar terms, "clock arithmetic (see http://en.wikipedia.org/wiki/Modular_arithmetic for more ). The author, Arthur Benjamin, is a renowned professor of mathematics, specializing in the field of combinatorics, and well-known for his performances on "mathemagics" in which he shows off his arithmetic skills. This book teaches readers many of his arithmetic

Not so Great Books

Japanese comics - or any types of comics. I absolutely cannot stand comics and squeam to those that find them a joy - I absolutely cannot understand how or why they like this kind of entertainment. You might say that it's a form of entertainment but I retort that entertainment presented on the television screen and those presented on paper medium are quite different - it feels different to be looking at something continuous rather than discrete, picture slide by picture slide on a paper.


Obviously this is just on the top of my mind at the moment, and I am sure that there are other genre of books that I do not especially like. Maybe, autobiographies since they "look" dry/ancient/and long to read, but I don't know since I have not been exposed to many autobiographies to make a decision about them. Perhaps I have more to add on this in a later time.

Beautiful video illustrating how the Fibonacci Numbers ( see http://en.wikipedia.org/wiki/Fibonacci_number for more ) arise naturally and beautifully in the world we live.
NATURE BY NUMBERS