The Calculus of a Single Variable with Analytic Geometry

This calculus book is the best calculus book I've ever seen! Here are my reasons! 1. Many definitions are thoroughly stated in the most accurate way. Unlike many other text, you will be able to understand what he's talking about without any confusion since the terms he uses are already defined for you.2. He presents most of theorems of calculus (like twice more theorems than James Stewart's) with clear examples and explanations. 3. Most importantaly, he does not avoid proving the theorems although some proofs are hard to grasp and understood(many other texts, will just say, 'it can be shown' or 'it is intuitively clear'). He's not afraid of intimidating first year calculus students by showing them the true mathmatics and how it should be done!This text treats the subject very seriously, so if you're a serious math, science, or engineering major student this book has potential of becoming the bible for you. But if you're like Biology major, just forget it.

Calculus with Analytic Geometry by Louis Leithold teaches math the old fashioned way by Theorom-Proof, Theorom-Proof. It does not try to water down the math, nor does it try to make the math interesting. This book is for serious math students who have an interest in the subject and who have been looking for good mathematical explanations of the subjects in Calculus. It is very complete and has many examples with many exercises to pound in the ideas it presents. It is very good, but one must be warned that this book does not try to simplify so be ready for math, pure and complete.