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Advanced Calculus: Theory and Practice (Textbooks in Mathematics), by John Srdjan Petrovic
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Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics.
The book takes a motivating approach that makes ideas less abstract to students. It explains how various topics in calculus may seem unrelated but in reality have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems. Proofs are also presented in an accessible way to students.
By strengthening skills gained through elementary calculus, this textbook leads students toward mastering calculus techniques. It will help them succeed in their future mathematical or engineering studies.
- Sales Rank: #1900851 in eBooks
- Published on: 2013-11-01
- Released on: 2013-11-01
- Format: Kindle eBook
Most helpful customer reviews
11 of 12 people found the following review helpful.
A good textbook on advanced calculus
By CheeLimCheung
This is a very good textbook on advanced calculus/mathematical analysis. There are solutions/hints to selected problems at the end of the book which should be helpful to students studying the subject for the first time. Little known historical nuggets sprinkled throughout the chapters enliven the text and may motivate the students to do some research on their own.
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