Advanced calculus II-1
Advanced calculus II-1
Convergence and differentiation
About the Book
Advanced calculus occupies the most fundamental position in mathematics training. It is an essential path from elementary numerical calculation to higher-level abstract thinking. Advanced calculus is a two-semester course, four credits per semester, 200 minutes of lectures a week, plus 2 hours of recitation, weekly homework, and four exams in a semester in the mathematics department of National Tsing Hua University of Taiwan. It can be said that it is the most loaded undergraduate course. Many students are quite afraid of it.
The author is trying to write some books that may help students in understanding the materials. In these books, all proofs are explained in detail, easy to understand and complete, with many graphics and colors. Also, they have to be easy to read on mobile phones.
With these ideas in mind, the author produces a series of textbooks: Advanced Calculus I-1, I-2 and Advanced Calculus II-1, II-2.
These books stemmed from lecture notes for courses of advanced calculus that the author taught in the mathematics department of National Tsing Hua University of Taiwan. A dim hope for these books is that students will be more receptive and more willing to spend time in this course.
Mathematical knowledge and the ability of abstract thinking become more and more important in modern sciences and technology industries. Mathematics is indispensable from automated processes and big data processing. Knowledge of calculus is not enough for applied sciences. This may be a reason that regardless of its heavy loading, it attracts students from electrical engineering, computer science, financial engineering, management and medical school to take.
In order to facilitate the use on mobile phones, the author needs to make the files of the books small. The content of Advanced Calculus II is divided into two books: Advanced calculus II-1 and Advanced Calculus II-2. Each contains two midterm exams. Exams and practice exams are all attached to the books. Each section is accompanied by exercises. These books can be regarded as self-complete and suitable for self-study.
The Leanpub 60-day 100% Happiness Guarantee
Within 60 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.
See full terms
80% Royalties. Earn $16 on a $20 book.
We pay 80% royalties. That's not a typo: you earn $16 on a $20 sale. If we sell 5000 non-refunded copies of your book or course for $20, you'll earn $80,000.
(Yes, some authors have already earned much more than that on Leanpub.)
In fact, authors have earnedover $12 millionwriting, publishing and selling on Leanpub.
Learn more about writing on Leanpub
Free Updates. DRM Free.
If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).
Most Leanpub books are available in PDF (for computers) and EPUB (for phones, tablets and Kindle). The formats that a book includes are shown at the top right corner of this page.
Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.