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[Edit: I have likely posted this in the wrong forum - any Mods are welcome to move it to a more apt location, apologies]

I'm forming a reading list (Undergrad) for myself comprising of modern texts and "classics" by those such as Euclid and Euler.

Advice often offered to Maths students is "read the greats" - so, suggest which texts constitute work by the Greats and should be read by students. That is, texts which are reasonably applicable today and offer wonderful insight to the respective subject.

I have only two of the aforementioned on my list thus far;

Euclid - Elements (All thirteen)

Gauss - Disquisitiones Arithmeticae

What other works by Greats should i have? And what are the opinions on the two listed above?

Ontop of;

General:

The Princeton Companion To Mathematics

Calculus:

Introduction to Calculus and Analysis - Courant

Calculus - Spivak

Elementary Differential Equations and Boundary Value Problems - Boyce & DiPrima

and Apostol's texts (but at £100+ each they can wait)

Algebra:

Elementary Linear Algebra: Applications Version - Anton & Rorres

Elementary Linear Algebra with Applications - Kollman & Hill

Pure Maths/ Numb Theory:

How to Prove It: A Structured Approach - Daniel J. Velleman (Author)

Concise Introduction to Pure Mathematics - Liebeck

Topology:

Introduction to Topology - Mendelson

First Concepts of Topology - W.G. Chinn (Author), N.E. Steenrod (Author)

Introduction to Topology and Modern Analysis - Simmons

Probability/Statistics:

A Modern Introduction to Probability and Statistics: Understanding Why and How - F.M. Dekking (Author), et al.

I only have a few opinions on any of these texts, i am here for more insight and any other suggestions. Indeed, warning me off of any texts is welcome also.

Oh, and also, for anyone suggesting/advocating texts - would it be possible for you to indiciate the pre-requisites for reading said text?

Thanks.

P.S. - I have already read through alot of Mathwonks thread and taken a few suggestions from it ("who wants to be a . . ").

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# The Greats - and more.

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