Advanced Calculus: Theory and Practice

Advanced Calculus: Theory and Practice, Second Edition, is a text for a one- or two-semester course on advanced calculus or analysis. It 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. It also includes nearly 300 examples and 1,000 new exercises, with solutions or hints.

Format: Paperback / softback
Length: 622 pages
Publication date: 21 February 2023
Publisher: Taylor & Francis Ltd

The second edition of Advanced Calculus: Theory and Practice is an excellent resource for students taking a one- or two-semester course on advanced calculus or analysis. Written by John Srdjan Petrovic, a professor at Western Michigan University, the text aims to improve students' problem-solving and proof-writing skills, familiarize them with the historical development of calculus concepts, and help them understand the connections among different topics.

The book begins by explaining how various topics in calculus may seem unrelated but have common roots. It emphasizes historical perspectives, giving 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, making the text engaging and accessible to students.

The second edition of Advanced Calculus: Theory and Practice features several improvements to enhance the learning experience. The book has been reorganized to address common preferences, with chapters rearranged to make the content more organized and easier to follow. An expanded and organized exercise collection is also included, with close to 1,000 new exercises. These exercises are classified based on difficulty level, with computation-oriented exercises paired and solutions or hints provided for the odd-numbered questions.

In addition to the improvements in content, the second edition also includes enrichment material to enhance students' understanding of the subject. Historical facts and biographies of over 60 mathematicians are included, providing context and insight into the development of calculus. Thirty-five new illustrations are also added to guide students through examples or proofs.

John Srdjan Petrovic is a well-respected professor in the field of mathematics, and his expertise is evident in the second edition of Advanced Calculus: Theory and Practice. The text is well-written, clear, and concise, making it easy for students to understand and apply the concepts presented. Whether you are a student of mathematics or a professional seeking to advance your knowledge of calculus, this book is an excellent choice.

In conclusion, Advanced Calculus: Theory and Practice, Second Edition is an excellent resource for students taking a one- or two-semester course on advanced calculus or analysis. With its improved organization, enhanced coverage of axiomatic systems, expanded and organized exercise collection, enrichment material, and illustrations, the book provides students with the tools they need to succeed in the field. Whether you are a student or a professional, this text is a must-have for anyone interested in advancing their knowledge of calculus.

Weight: 1150g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032474335
Edition number: 2 ed