Mathematical Bridge, A: An Intuitive Journey in Higher Mathematics 1st Edition by Stephen Fletcher Hewson (PDF)

Description

This book is an alternative and highly engaging introduction to the highlights of a typical undergraduate mathematics course. Building on very simple principles, it develops these mathematical highlights, known to every well-rounded mathematician, in an intuitive and entertaining way. The aim of the book is to motivate and inspire the reader to discover and understand some of these truly amazing mathematical structures and ideas which are frequently not fully grasped, pass unnoticed or simply swamped in an undergraduate mathematics course. For the experienced mathematician the book offers refreshing, often enlightening, hindsight. For the novice it is an exciting intellectual journey.

User’s Reviews

Editorial Reviews: Review .,.” has a wide selection of exercises, suggestions for further reading, and appendices with useful background material.”

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐not exactly what i was looking for i think you need a mathematical background to fullyunderstand the points the author lays out,however ,to me, i didn’t get the gistof the subject discussions.

⭐There are relatively few books on mathematics and theoretical physics that are decidedly user-friendly. Fewer still endeavor to approach their subject from a perspective significantly different from the standard textbook approach. I was therefore eager to examine Hewson’s “A Mathematical Bridge,” with its promise of an “intuitive journey,” to see whether it could offer some fresh insights on material I already knew and perhaps shine some light on some less familiar material. I even decided to take notes while going through the book to record any ideas that the material might evoke. Sadly, my notes up to this point are largely made up of the book’s errata. As a previous reviewer mentioned, some of it is simply typographical (and that does not excuse the book’s editors from their oversight), though the errors that glare to the mathematically trained could serve to confuse the less prepared reader. There are also numerous errors of English that I find particularly troublesome for a book that should have been adequately proofread. Far more troublesome, however, are what appear to be errors of notation, algebraic errors, and a few faulty mathematical arguments. There are also a few other things in the book that disagree with other sources (one example being the 2×2 matrix definition of quaternions, which switches around the matrix representations of i, j, and k relative to the order presented by Arfken). Just within the book’s first 80 pages, I have compiled a list of errors spanning five handwritten pages, not a very promising sign. It is a shame, since I believe the layout of the book and the plan of the covered material are both very sound. Especially considering the book’s expense, I cannot recommend it to the lay reader, and I think the mathematician will only tire of its faults. I can only hope that a future edition will address and correct the errors present in this volume. For now, it is merely a book of unrealized potential, but one worthy of being given another chance.UPDATE, 12/11/2008: The review above refers to the first edition of the book. I see that a second edition is currently planned for release in spring 2009. The good news is that the publisher’s errata list for this title addresses most (but, unfortunately, not all) of my complaints from the first edition, so this should be a much-improved book when it comes out. Again, I must say that the plan followed in this book is very good; it was just its density of errors that kept me from rating it highly. Although I have not yet seen the second edition (but I hope to), I think that the Amazon reader can safely add one star to my original rating for the second edition (new rating: four out of five).

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