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.

This book is of great value, it is one of the best calculus book I have ever encountered. Mr. Leithold really explains the lessons step-by-step by truly applying the "learn by example"method in teaching. Many examples are given ranging from simple to complicated ones. It will really guide the student in developing his calculus skills. Another thing more, the author uses very plain language in explaining the topics in the book. This helps giving students some motivation in a subject that is traditionally looked as a very difficult one. Coverage on the theoretical and applied aspects of calculus are kept into balance by presenting proofs into both simple and complex theorems while simultaneously providing sample problems dealing with real-life applications that gives an idea to students the practical side of what they are learning. Loads of problems to solve are present that will also aid the student to develop and practise. In addition, the book provides a good guide in learning calculus in conjunction with a graphics calculator. Numerous examples are provided guiding the learner in the use of the graphics calculator in a certain calculus topic.

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.