Showing posts with label geometry. Show all posts
Showing posts with label geometry. Show all posts

How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics Review

How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
Average Reviews:

(More customer reviews)
It is made abundantly clear in this fascinating book that certain sub-disciplines in mathematics are extremely useful in describing the physical world in which we live. It is made equally clear, and admitted by the author, that many other of its sub-disciplines are (at least currently) completely useless in the sense that there are no known practical applications. The author, a mathematician, does an excellent job in providing the reader with an overview of both types of these sub-disciplines, while discussing various questions and issues in mathematics. To add a human element to these discussions, the author has peppered the text with many historical and micro-biographical snippets, as well as personal anecdotes - thus making the book all the more enjoyable. The writing style is authoritative, very friendly and generally clear; that is, some sections could have been made clearer if figures or diagrams had been included to complement the descriptions that are given, thus saving the reader a bit of re-reading and head scratching (such as in my case). The fact that many mathematical terms are used without being previously defined suggests that the reader should have some basic knowledge in math in order to better appreciate the topics being discussed. Consequently, the book would likely be most enjoyed by science and especially math buffs.

Click Here to see more reviews about: How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics



Buy NowGet 34% OFF

Click here for more information about How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics

Read More...

Euclid's Window : The Story of Geometry from Parallel Lines to Hyperspace Review

Euclid's Window : The Story of Geometry from Parallel Lines to Hyperspace
Average Reviews:

(More customer reviews)
Mlodinow ('M' below) writes entertainingly, as most of the other reviews here testify. It's good that the general public get a taste of the excitement of discovery/invention in these fields. He should just correct, in a subsequent edition, the serious distortions that IAS Professor Langlands (Notices of the American Mathematical Society, vol. 49, number 5, p. 554 - referred to as 'L' below) has pointed out; then the book could be a useful, reliable introduction to whet the appetite of people who might want to study the subjects in more depth. Here are a few of Langlands' criticisms:
1. M's portrayals of Proclus, Kant, Kronecker and Gauss' father are unfair caricatures. L provides evidence in their defense.
2. M strives for sensationalism, not fact. E.g., M speculates that Thales traded in leather dildos. Veracity is sacrificed to effect.
3. M missed the main point of Riemann's great 1854 habilitation lecture. L wrote: "I could hardly believe my eyes, but it seems [M] is persuaded that the introduction of elliptic geometry was the principal achievement of the lecture."
Since M acknowledges on p.205 that Einstein's general theory of relativity was based on Riemann's work, M owes the reader much more explanation of Riemann's new ideas, expanding on his p. 207 discussion, not dismissing Riemann by saying his work "wasn't pretty."
4. L criticizes M's account of Einstein's early years, saying: "...to represent Einstein as an academically narrow, misunderstood or mistreated high-school dropout is a cruel disservice to any young reader or to any educator who swallows such falsehoods."
5. L concludes that M's book is "thoroughly dishonest ... simply because the author shrinks from nothing in his desperation to be readable and entertaining."
I didn't dislike the book as much as L did. It would be a significant achievement to make great breakthroughs in mathematics and physics somewhat comprehensible to lay people in an entertaining way and to do so with integrity.
Even L concedes "There would be little point in reviewing the book, were it not that the germ of an excellent monograph is there."

Click Here to see more reviews about: Euclid's Window : The Story of Geometry from Parallel Lines to Hyperspace



Buy NowGet 32% OFF

Click here for more information about Euclid's Window : The Story of Geometry from Parallel Lines to Hyperspace

Read More...