Calculus

Very good book

Nützliches und gut erklärendes Buch. Achtung, Buch ist auf Englisch! Es ist sehr groß und schwer aber dafür beinhaltet auch viel und detailliert erklärt.

I am just very disappointed to pay SGD$240+ for a used version of this book which was priced at $70.

Absolutely amazing introductory Calculus textbook! I have used this book for four Calculus classes and it has been superbly clear, illustrious, explicit, and sometimes entertaining. I particularly like Stewart's treatment of each new theorem/topic via geometry, algebra, and plain words. This allows the student to more simply define the new concept in more ways than one, or the way that best suits them. My only complaint is the lacking of even problem solutions. However, online websites such as Chegg or Slader suffice, or are even better, considering they come with step-by-step solutions. If you are the wondrous student, oftentimes Stewart includes the proofs of new theorems or definitions, allowing the student to internalize more deeply the concept. I especially like the historic side notes in nearly every section i.e. history of different notations, Newton & Leibiniz, Cauchy, Rolle, Lagrange, etc. The most fundamental reason this text was a success for me was the increasing difficulty and explanation of example problems after the introduction of a new topic. Much mathematical literature introduces a new concept, and usually introduces hard examples first or even trick problems. This is not the way to initially understand a concept. Stewart will introduce easier examples and even introduce the exceptions or odd ball cases to every defintion afterwards. This way, the book teaches through progressively harder examples. If you are in search of a rigorous calculus textbook, this is a supplement to that rigorous textbook. It is introductory, and addresses mostly elementary situations (although addressing more relevant problems in the problems section), therefore perhaps Spivak's Calculus may suit a more advanced or honors oriented class. Please please pick this book up! It is a gem for undergraduates!

Just an awful book. So many complex problems in the exercises, but there are not any examples on how to solve them.

This will be nearby for many years to come as a good reference point for calculus.