Knut Sydsaeter

This is an excellent undergraduate calculus textbook for non maths students, which manages to be rigorous while mantaining and engaging style. It assumes very little in terms of pre-requisites, and indeed the first five chapters allow students to catch up on pre-calculus material (including factoring of polynomials, equations and inequalities and functions).

It is packed with exercises, with solutions available either at the end of the book or in the rel="nofollow" target="_top">student's manual, and there is also a companion website to keep you entartained with multiple choice questions divided by chapter (you will get immediate feedback for them - however these should be meant as a quick check of your comprehension, as nothing substitutes sweating through the exercises in the textbook).

If you are an instructor, there are plenty more thoughtful exercises in the instructor's manual. In terms of coverage, it is almost perfect for students in economics, as it covers static optimisation (unconstrained, constrained with both equality and inequality constraints), a bit of linear algebra and linear programming. No dynamic optimization here, as for that you will need [b:Further Mathematics for Economic Analysis|6379546|Further Mathematics for Economic Analysis|Knut Sydsaeter|http://photo.goodreads.com/books/1266668016s/6379546.jpg|394840].

Be warned however: this is not a mathematical economics textbook, but a text of the maths needed for economics and the social sciences. So there are a number of economic applications (e.g. cost functions and profit functions are used in exercises, and you are shown the connection between logarithmic derivatives and elasticity), but this in not a "baby" version of e.g. [b:Foundations of Mathematical Economics|12368306|Foundations of Mathematical Economics|Michael Carter|http://photo.goodreads.com/books/1327915322s/12368306.jpg|1757391].… (meer)