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Nicholas Warren (New York, NY USA)

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Advanced Algebra
Advanced Algebra
by S. & Child, J.M. Barnard
Edition: Hardcover

5.0 out of 5 stars Five Stars, 10 Jun. 2016
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This review is from: Advanced Algebra (Hardcover)
Excellent quality and shipped overseas quickly. Highly recommend. Many thanks.


Differential Equations: Theory, Technique, and Practice
Differential Equations: Theory, Technique, and Practice
by George F Simmons
Edition: Paperback

2 of 2 people found the following review helpful
5.0 out of 5 stars Excellent, 24 Dec. 2013
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For a first course on differential equations this book is outstanding. Simmons as always explains very clearly both a principle and its underlying reasons (look-up other maths books by him; you will probably never be disappointed). The worked examples and applications are very thorough and aimed at someone studying mathematical methods as part of a physics first degree course. The questions (with solutions to those that are odd-numbered) are good and allow students to discover other techniques and applications for themselves. I was particularly impressed by a chapter reviewing linear algebra and showing its application to solving linear differential equations. Many people taking a linear algebra course learn and understand the techniques and proofs but don't have a clear idea of what are the uses that make it so valuable. Connecting linear algebra with linear differential equations make this crystal clear.

While this book is primarily aimed at science/engineering students, a mathematics student would benefit enormously before studying a more formal mathematics book of the definition-theorem-proof type. I recommend this book without hesitation.


Bridging the Gap to University Mathematics
Bridging the Gap to University Mathematics
by Edward Hurst
Edition: Paperback
Price: £15.99

34 of 35 people found the following review helpful
5.0 out of 5 stars An excellent book, 4 Aug. 2010
This book delivers exactly what it promises. It is a very clear explanation of the mathematics that will used again and again at University in the first year. It assumes only a good understanding of High School mathematics.

It does not lead you much into the more rigorous approach to proof used at University, but makes sure you know the mathematics needed as tools in applications. As such, the book would be at least as valuable (if not more so) to a prospective physicist, chemist, economist or engineer as mathematician. There are many exercises and I have checked many of the given solutions at the back for accuracy. The topics are very well explained and can be used stand-alone for self-study. The book is also written in a lively fashion, as entertainingly as endless definition-theorem-proof in a standard mathematics textbook is not! There is also a good set of references to explore topics further.

If every student about to enter University for a quantitative degree carefully studied this book over the summer, he/she would be very well prepared.

I know nothing about the authors (other than I believe they come from the U.K.) but, congratulations for a job well done!


The Black Cloud (Penguin science fiction)
The Black Cloud (Penguin science fiction)
by Sir Fred Hoyle
Edition: Paperback

3 of 4 people found the following review helpful
4.0 out of 5 stars Good story, good science, 24 Sept. 2008
I don't often read science fiction but I read, and enjoyed, this book on the recommendation of Richard Dawkins (Oxford Book of Science Writing).

The characters and dialogue seem a little dated now, but the story-line is strong and interesting. You know that when the physics of the black cloud is discussed, which is frequent, it is correct. The testing of theory by observation provides a strong illustration of the application of the scientific method. I particularly enjoyed being educated about the effects of the heating of the earth -- simple things, perhaps, but enlightening (e.g.,how we can, and can not, maintain our critical body temperature with little variation allowed, and why the daytime temperature near the equator is usually far less than in non-equatorial desert regions.)

The book deserves to be in-print again. It would make interesting reading for a A-level science candidate who wanted to learn some real science from a master, while being entertained at the same time (as long as he/she didn't mind the historical flavour of the style and story.)
Comment Comment (1) | Permalink | Most recent comment: Jan 28, 2014 11:04 PM GMT


Calculus: Concepts and Methods
Calculus: Concepts and Methods
by Ken Binmore
Edition: Paperback
Price: £49.99

18 of 20 people found the following review helpful
5.0 out of 5 stars An outstanding book, 2 Feb. 2006
This book would also be of considerable value to physicists and engineers, although the primary audience is probably economists. The aproach is a thoroughly modern one of using a linear algebra approach to calculus.
The book makes no pretense about avoiding the formal definition-theorem-proof approach appropriate to a mathematician. It is not intended to be a rigorous approach. Instead, it focuses on geometric intuition and the "whys" as well as the "hows." The many excellent multi-colo(u)r diagrams are extremely helpful in explaining concepts. Although the book says that prerequisites are basic familiarity with single-variable calculus and linear algebra, the review sections on those topics are thorough enough to learn from, as long as the reader is not completely unfamiliar, by working through the carefully constructed exercises. In fact, the first chapter is, in of itself, an excellent primer on linear algebra.
My hope, for the next edition, is that the authors, having beautifully developed the vector calculus of Grad, might extend the development to Div and Curl (along the intuitive lines of Schey - Div, Grad, Curl and All That) to make the book even more appropriate to physicists/engineers.
If you want a crystal-clear exposition of multi-variable calculus, while learning linear algebra at the same time, this is THE book (and there is nothing else like it that I have seen out there). The book is wonderfully laid out, attractive to work through, and the examples and problem sets are first rate. I hesitate to say it, but I believe you will actually really enjoy the topic, whatever your previous misgivings about calculus may have been. If that is true, you will learn a tremendous amount from this book.
Bravo, the authors!
Comment Comments (2) | Permalink | Most recent comment: Dec 31, 2007 11:32 PM GMT


The Skeleton Key of Mathematics: A Simple Account of Complex Algebraic Theories (Dover Books on Mathematics)
The Skeleton Key of Mathematics: A Simple Account of Complex Algebraic Theories (Dover Books on Mathematics)
by D. E. Littlewood
Edition: Paperback
Price: £6.29

2 of 2 people found the following review helpful
5.0 out of 5 stars Outstanding for beginning University students, 6 Jun. 2005
It's an old-fashioned look and style, but don't let that put you off. This book contains a birds-eye view, very clearly explained, of a lot of very important mathematics. The conciseness enables the reader to see the connections between algebraic topics, rather than missing them through the text-book definition, theorem, proof approach - that can come later.
Read this in the summer vacation before going to University for both mathematicians, as well as physicists/engineers (there are excellent explanations of some applied math topics like tensors). If, having finished the book, you want more details, problems, examples and a more formal textbook style, the same author's University Algebra (out-of-print, but available used through Amazon) follows much the same format.


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