Mathematics books that are visually rich

[Peteris Krumins]

Hi all!

I am looking for undergraduate and graduate level math books that are
rich in figures and have focus on visualizing the concepts.

I was going through "Visual Complex Analysis" by Tristan Needham and
it was pretty fantastic. Another similar book that I found was "Tensor
Geometry" by C.T.J. Dodson and T. Poston.

Can you share the visually rich books that you know?

Sincerely,
Peteris Krumins

[Marko Amnell]

On Dec 17, 10:26 pm, Peteris Krumins <peteris.krum...@gmail.com>
wrote:

One textbook that comes to mind right away is:

Calculus, 7th Edition, book and CD
by Howard A. Anton, Irl Bivens, and Stephen Davis

http://www.amazon.com/Calculus-7th-book-Howard-Anton/dp/0471381578

The book includes a CD ROM.

Just to quote a couple of reviews on Amazon:

"When my copy of Stewart fell apart awhile back, I decided to
order this to replace it, since it was one recommended by CAS/SOA
for Exam 1. I am not disappointed. This has more graphs and
pictures than Stewart to help explain some of the fundamentals
better."

"Besides, the book has a lot of computer graphics which make
reading inviting. Also, there are numerous examples in each
section which make the text easy to understand. There are too
many other features and I can't mention each of them."

[FredJeffries]

On Dec 17, 12:26 pm, Peteris Krumins <peteris.krum...@gmail.com>
wrote:

Marcus Pivato has several nice sets of lecture notes on his website
http://xaravve.trentu.ca/pivato/Teaching/teaching.html

including "Analysis, Measure & Probability: A Visual Introduction"
http://xaravve.trentu.ca/pivato/Teaching/measure.pdf

"Visual Abstract Algebra"
http://xaravve.trentu.ca/330/Notes/notes.pdf

"Lecture notes in Partial Differential Equations"
http://xaravve.trentu.ca/305/305.ps.gz

[Peteris Krumins]

On Dec 24, 12:05 pm, FredJeffries <FredJeffr...@gmail.com> wrote:
> On Dec 17, 12:26 pm, Peteris Krumins <peteris.krum...@gmail.com>
> wrote:
>
> > Hi all!
>
> > I am looking for undergraduate and graduate level math books that are
> > rich in figures and have focus on visualizing the concepts.
>
> > I was going through "Visual Complex Analysis" by Tristan Needham and
> > it was pretty fantastic. Another similar book that I found was "Tensor
> > Geometry" by C.T.J. Dodson and T. Poston.
>
> > Can you share the visually rich books that you know?
>
> > Sincerely,
> > Peteris Krumins
>

> Marcus Pivato has several nice sets of lecture notes on his websitehttp://xaravve.trentu.ca/pivato/Teaching/teaching.html

>
> including "Analysis, Measure & Probability: A Visual Introduction"http://xaravve.trentu.ca/pivato/Teaching/measure.pdf
>
> "Visual Abstract Algebra"http://xaravve.trentu.ca/330/Notes/notes.pdf
>
> "Lecture notes in Partial Differential Equations"http://xaravve.trentu.ca/305/305.ps.gz

Amazing material! Thank you so much!

P.Krumins

[Jonathan Groves]

One book I know that may qualify as visually rich is "Calculus" by Hostetler (spelling?), Larson, and Edwards, 7th edition. The 6th edition is about the same with pictures and diagrams. If there are editions beyond the 7th, I haven't heard of them or seen them, but I would guess they are the same or maybe even more visually rich than the 6th and 7th editions. I haven't looked at this calculus book in several years, and I'm not sure right now how much the pictures add to understanding, but I do remember that the book is not short on pictures! If I remember correctly, there are good pictures illustrating Reimann sums, finding volumes of solids of revolution by disks and washers and shells, conic sections, and quadric surfaces (like hyperbolic paraboloid, ellipsoid, elliptic paraboloid, etc.). And there are some pretty good pictures illustrating limit, derivative, and other calculus concepts.

There are some other books I am thinking may qualify that I own, but I wish to check them again before I post the information. I do not own the calculus book that I described above and have no way right now to get a copy. I wish I could have checked the book again before posting the information, but I couldn't.

Perhaps someone can add to what I said (or even refute me if I am wrong or have misunderstood exactly what is meant by "visually rich").

[Jonathan Groves]

Another book that is visually rich (at least, I would say it's pretty good on pictures and diagrams) is "Introduction to the Practice of Statistics" by David S. Moore and George P. McCabe, 3rd edition. This edition is old enough now that it might not be used in schools anymore (it came out in 1999). But it is likely there are newer editions and that these later editions are even more visually rich than the third edition.

It's also pretty good on showing screens from graphing calculators and Minitab.

If this isn't visually rich as you define it, then please realize that this term is subjective and that almost all math books I have looked at in recent years have few, if any, pictures in them. So compared to these books, the book I described above seems pretty darn visual to me! Maybe you should check it out first, if you can, before deciding for yourself. Even if it isn't as visually rich as you are hoping it will be, it's still a good stats books for those majoring in business, economics, etc. who need stats but not calculus.

[Jonathan Groves]

Another book that is good on pictures, at least in some of the chapters, and is pleasing to look at is "College Algebra" 4th edition by Michael Sullivan.