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by Stephen Hewson

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Author: Stephen Hewson
ISBN: 9812834087
Language: English
Pages: 672 pages
Category: Mathematics
Publisher: World Scientific Publishing Company; 2 edition (January 20, 2009)
Rating: 4.5
Formats: txt doc rtf lit
FB2 size: 1455 kb | EPUB size: 1942 kb | DJVU size: 1576 kb
Sub: Math

This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.

This book bridges this mathematical gap. The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks

There are relatively few books on mathematics and theoretical physics that are decidedly user-friendly

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.

A Mathematical Bridge book. Goodreads helps you keep track of books you want to read. Start by marking A Mathematical Bridge: An Intuitive Journey in Higher Mathematics as Want to Read: Want to Read saving. This book is an alternative and highly engaging introduction to the. Start by marking A Mathematical Bridge: An Intuitive Journey in Higher Mathematics as Want to Read: Want to Read savin. ant to Read.

A Mathematical Bridge: An Intuitive Journey in Higher Mathematics. Stephen Fletcher Hewson. Publisher: World Scientific. Stephen Fletcher Hewson says we could be doing a better job. The literature, according to Hewson's preface, is bipolar. He writes that he wants to provide others with "the book I would have loved to own before beginning my career as a mathematician. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks

Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel .

Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap.

ISBN 13: 9789812834072. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks

Nearly new, copy of A Mathematical Bridge by Stephen Fletcher Hewson. An alternative introduction to the highlights of a typical undergraduate mathematics course, this book starts from very simple levels or principles and develops in an intuitive and entertaining way.

Nearly new, copy of A Mathematical Bridge by Stephen Fletcher Hewson. No markings on pages, cover in very good condition. Read full description. See details and exclusions. Product Identifiers.

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Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does. The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.
Comments (3)
Mullador
Although I use math extensively in my lectures, I am not a mathematician. Often engineers see mathematics simply as a toolbox. This book can really change this viewpoint. Although sometimes the author advances a bit too slowly on certain topics, the overall outcome is a nice "full of insight" view of major themes in higher Mathematics. In this respect the author has successfully achieved what is promised in the title. I strongly recommend this book for those who teach mathematics at high-school or college, especially for future engineers.
Jerdodov
not exactly what i was looking for i think you need a mathematical background to fully
understand the points the author lays out,however ,to me, i didn't get the gist
of the subject discussions.
Grarana
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 2x2 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).