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**Table of contents**

- Glimpses of Algebra and Geometry
- Undergraduate Texts in Mathematics - Wikipedia
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- Download Glimpses of Algebra and Geometry (Undergraduate Texts in by Gabor Toth PDF
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Return to Book Page. Glimpses of Algebra and Geometry really liked it 4. Previous edition sold copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over illustrations, as well as text and Maple files, are available via the web facilitate understanding: Contains an insert with 4-color illustrations; Includes numerous examples and Previous edition sold copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over illustrations, as well as text and Maple files, are available via the web facilitate understanding: Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problem Hardcover , pages.

Published May 2nd by Springer first published January 1st To see what your friends thought of this book, please sign up. To ask other readers questions about Glimpses of Algebra and Geometry , please sign up. Be the first to ask a question about Glimpses of Algebra and Geometry.

- Are there other nice math books close to the style of Tristan Needham? - MathOverflow.
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## Glimpses of Algebra and Geometry

A Universal Concept in Nonlinear Sciences is very well-written. Mathematics for Science Students by Louis Lyons.

He explains some basic topics that science students need to know. Excellent explanation, extremely intuitive and beautiful. The barrier, imposed by our three dimensional habitation and perceptual experience, has been breached by this innovative and versatile methodology. There are beautiful visuals of multidimensional objects and insights into multidimensional problems: A Radical Approach to Real Analysis http: They are not as visual as the book by Needham, but like the books by Stillwell, they combine history and insight.

By the way, Needham and Stillwell both work at Univ. I visted there once. How Not to Be Wrong: Also a lot of history. Surprising and clearly written. By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service , privacy policy and cookie policy , and that your continued use of the website is subject to these policies.

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## Undergraduate Texts in Mathematics - Wikipedia

Are there other nice math books close to the style of Tristan Needham? It's a truly remarkable book that should be read by anyone seriously interested in analysis or physics,particularly for it's historical insight.

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On the other hand I should probably -1 because it's a bad question well, at least as long as it's phrased the way it is and since it's not community-wiki. So I'll do neither for now. I'll just leave this comment: I'm not going to recommend a particular book because most of them are great I say 'most' and not 'all' because I haven't read them all. Professor Stillwell is acknowledged in the introduction to Needham's book as a strong influence on the style of the text.

We can all learn a great deal from Professor Stillwell's texts,emphasizing the historical development of the great edifice of mathematics. A student struggling with a more rigorous presentation-such as Alfhors or Narisham-will benefit tremendously from the geometric and historical presentation of the basics and drawing connections between them. A student who has mastered a rigorous presentation will gain much deeper insight into what the abstract construction "means". I would just like to second this opinion!

There are several concepts I never entirely understood until a single sentence of Stillwell's--perfectly phrased--cleared years of fog. Understanding how Lie brackets connect to the conventional cross-product is one such "Oh!

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The historical notes at the end of the book are particularly enlightening. I also had the sheer pleasure of being lectured by John Stillwell when he was here in Australia in the early to mid s: The original German edition of the book is true marvel to behold I own a Russian translation and have used AMS translation, but they are not in the same league. They either did it with superb insight or with an almost soul-crushing slog of work - both to be admired.

My day job is optical engineering and I am putting together a Lie theory text in my spare time - I truly believe that the only significant but absolutely fundamental way my jobs would differ without computers is that I would be lost without the ability to graph and visualise that they give Comment continued Think of Abramowitz and Stegun - all those graphs drawn by hand. Or, there is a plot of the radiation pattern from a Mie scattering sphere in Born and Wolf, Principles of Optics. It has exquisitely fine structure in the plot, which was all done by hand calculation. I had to write a Mie scattering software function once, and I used Born and Wolf's hand calculations to debug my work - the hand calculations were right and I was wrong!

It should have been the other way around!! Re Alice's Adventures, you may want to take a look at bl. Caicedo Jul 14 '10 at I totally agree,but these books are considerably harder then Needham's. But if you're serious about understanding the deeper aspects of the theory of ODE's,they are a necessity. Indeed-all Arnold's book are a testament to one of the great mathematicians and teachers of all time and his awesome perspective unifying both mathematics and physical sciences through the shared language of geometry.

I wouldn't have called it difficult, though -- Arnold's style makes it a comfortable read for most graduate students, I'd say. It actually makes quite nice "pleasure reading" when you want a break from more strenuous stuff. But an undergraduate-unless they're superior-will find them pretty tough. Especially the Classical Mechanics text,which is clearly a graduate level text by anyone's measure.

I wasn't able to find the picture of the front cover to embed and David Wright's website seems to be down. If you know where to get one, please, put it in! There you go, Victor! Great, thank you very much, Joseph! It certainly catches the eye and made me discover this great book ,thank you! WetSavannaAnimal aka Rod Vance. In his own words: Euclid and Beyond Robin Hartshorne.

Combinatorics and Graph Theory Michael J. Introduction to Cryptography Johannes Buchmann. Complex Analysis Theodore W. Back cover copy The purpose of Glimpses of Algebra and Geometry is to fill a gap between undergraduate and graduate mathematics studies.

## Download Glimpses of Algebra and Geometry (Undergraduate Texts in by Gabor Toth PDF

It is one of the few undergraduate texts to explore the subtle and sometimes puzzling connections between Number Theory, Classical Geometry and Modern Algebra in a clear and easily understandable style. Over computer-generated images, accessible to readers via the World Wide Web, facilitate an understanding of mathematical concepts and proofs even further. Glimpses also sheds light on some of the links between the first recorded intellectual attempts to solve ancient problems of Number Theory and Geometry and twentieth century mathematics.

GLIMPSES will appeal to students who wish to learn modern mathematics, but have few prerequisite courses, and to high-school teachers who always had a keen interest in mathematics, but seldom the time to pursue background technicalities. Even postgraduate mathematicians will enjoy being able to browse through a number of mathematical disciplines in one sitting.

Professor Toths main fields of interest involve the geometry of eigenmaps and spherical minimal immersions and the visualization of mathematics via computers. Review Text From the reviews of the second edition: This second edition is a revised and substantially expanded version, so for example it includes a detailed treatment of the solution of the cubic and quartic, as well as a long new chapter on Klein's famous work on the quintic and the icosahedron.

So this second edition hopefully will not be the last one. I recommend the text as a good read for mathematicians of all specialities.

### Bestselling Series

It intends to close the gap between undergraduate and graduate studies in number theory, classical geometry and modern algebra. Each of the chapters is a good read and the book adds up to a wholly appealing entity. It can be warmly recommended I can well imagine that teachers Lang, Internationale Mathematische Nachrichten, Vol.

Review quote From the reviews of the second edition: