A Modern Introduction to Mathematical Analysis

This textbook covers the basics of mathematical analysis for the first two years, introducing the Kurzweil-Henstock integral from the beginning and providing clear guidance for students and instructors.

Format: Hardback
Length: 431 pages
Publication date: 23 March 2023
Publisher: Birkhauser Verlag AG

This comprehensive textbook serves as an essential guide for the initial two years of a course in mathematical analysis, encompassing a wide range of topics from the fundamental natural numbers to the renowned Stokes-Cartan Theorem. What sets this book apart is its innovative approach of introducing the Kurzweil-Henstock integral from the very beginning. While this requires a modest additional effort from the student, it ultimately yields significant benefits in the development of the theory and later when delving into more advanced subjects. The text adeptly leads the reader through a seamless exploration of the diverse subjects, equipping them with all the necessary tools without requiring any prior prerequisites. Both students and instructors will greatly benefit from this book and its novel approach, transforming their journey into mathematical analysis into a fulfilling and successful experience.

Weight: 846g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031237126
Edition number: 1st ed. 2023