9/14/2023 0 Comments Best calculus textbook![]() This book is also very modern, pulling in results from the 1980's and later, which are often left out of most books written at this level. It has a focus on mathematical logic, and it draws connections between abstract structures in diverse branches of mathematics, leading towards an understanding of math that is both broad and deep. However, more advanced students and professors may also find it incredibly useful. It is oriented towards the beginning graduate student, and is ideal for self-study before beginning grad school in mathematics. This book can be great if you are a math teacher or professor, looking to come up with interesting results, problems, or topics that can stir up passion, enthusiasm, or a sense of awe and wonder at mathematical truth.Įric Schechter's Handbook of Analysis and its Foundations is a completely different book. The book is accessible but generally requires a fairly thorough understanding of calculus to get the most out of. Robert Young's Excursions in Calculus is a book of bizarre tricks that will wow any math lover who has a solid understanding of Calculus. ![]() It will better prepare students who are planning to do graduate coursework in math, or more advanced undergraduate work.ĭo you want to have fun with math, and also understand it on a deeper level? Do you want to appreciate the strangeness in the field of Calculus? Here I highlight two books are not textbooks, but which I think offer something really unique and refreshing for the math lover. I also find that the Apostol book teaches deeper mathematical concepts. But it is not the order in which the subject is taught in most modern classes. This book follows the natural order in which Calculus was historically developed. It teaches integration (calculation of area) first, and then teaches differentiation (calculation of slope / rates of change). I find the Larson/Edwards book more accessible and prefer it for this reason. The Larson/Edwards and Stewart texts are very similar to each other. The Stewart text is the one I taught from at University of Delaware, and is perhaps very slightly more technical and rigorous. The Larson/Edwards or Larson/Edwards/Hostetler book was the book I used in high school. I have used all these books (although not the current editions) and would recommend all of them. They are suitable for the classes most people know as "Calc I" and"Calc II", and they cover the material for the AP Calculus AB and BC exams as well. These are standard intro calculus books for college students or advanced high-school students. This page shares my experiences with the books I found most useful, starting from high school, so that you can make an informed decision, whether you're choosing a book for a class, or buying your own book for self-study. ![]() In the course of my studies, I read (and at times, taught from) many different math books. I have taught calculus I and II at the undergraduate level, and have tutored all levels of math from 2nd grade through Ph.D. in Statistics from Yale University (2008). in Applied Mathematics from the University of Delaware (2007) and an M.A. in Mathematics from Oberlin College (2002), an M.S. This page provides recommendations of calculus textbooks and other books on calculus at three levels: basic intro level (Calc I and II, and Calc III/Multivariable), two calculus-related books for people who already know calculus, that provide a novel approach and new perspectives, and the Advanced Calculus or introductory Mathematical Analysis course most grad students or advanced undergraduates take. ![]()
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