# Various Books

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

## Favourite Books

## American Mathematical Monthly Ideal for undergraduate students, this Journal contains both recreational and technical mathematics generally having a "higher learning curve" than other mathematical periodicals suited for undergraduates. Very accessible | ## MAA's Mathematics Magazine A lighter mathematical periodical in terms of mathematical prerequisites than The American Mathematical Monthly periodical. Ideal for High School students. | ## Love and Math A good read by one of Berkeley's mathematics faculty. Edward Frenkel reminisces about his early experiences in mathematics and how that has molded into something fruitful. In doing so, he explores the interconnectedness of different fields of mathematics ( Topology, Number Theory, and different parts of Algebra ) in a very accessible way to readers with little background in these subjects ( and for those who have experience in these fields of study there's an entire back section dedicated to make rigourous his "soft" ideas presented within the text ). Inspiring to read for those who want to get into the field of mathematics or want inspiration in studying these broad but interconnected subjects. |

## American Mathematical Monthly

## MAA's Mathematics Magazine

## Love and Math

## Gödel, Escher, Bach One of those pop math books. A good, long read. About mathematical logic, metamathematics, foundations of mathematics, computer science, music, and art. All distinct? Read this and find otherwise. | ## Flatland - A Romance of Many Dimensions A gifted, two-dimensional square explores the various dimensions from one to three. The sad part is that no-one believes in his theory of dimensions. Offers a intuitive-way of looking and experiencing different dimensions - something that we humans may not always imagine since we live constantly live in a three-dimensional world. | ## Secrets of Mental Math The title describes it all - learn arithmetic techniques so that in a real-life situation you can be seconds or minutes faster than other people. The techniques presented in this book come from a renowned "mathemagician" and professor of mathematics specializing in combinatorics ( so he really knows how to "count" things ). A sneak peak: one interesting technique utilizes a strange "mapping" between alphabets and numbers in performing horrendous looking calculations. |

## Gödel, Escher, Bach

## Flatland - A Romance of Many Dimensions

## Secrets of Mental Math

## Books worth Sharing

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

*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.