Elementary Functions

This textbook covers the study of elementary functions in high school Algebra and Calculus, emphasizing rigorous mathematical analysis and proof techniques. It is suitable for university freshmen and high-school students interested in learning strict mathematical reasoning and preparing for advanced study of elementary functions.

Format: Paperback / softback
Length: 481 pages
Publication date: 17 May 2023
Publisher: Birkhauser Verlag AG

This comprehensive textbook delves into the study of diverse elementary functions, which are essential in both high school Algebra and Calculus. By employing fundamental techniques accessible to high school students, it analyzes a range of functions, from polynomials to trigonometric ones, while maintaining the mathematical rigor appropriate for university-level courses. Unlike other pre-Calculus books, this textbook prioritizes the rigorous study of elementary functions, tailored to the academic standards of university mathematics. While the exposition is limited to pre-limit topics and techniques, it offers valuable insights into mathematical reasoning. On the one hand, it serves as an introduction to logical reasoning and methods of proof in mathematical analysis, providing a solid foundation for further studies in elementary functions at the advanced level of Calculus and Analysis. On the other hand, it serves as a preparatory course, covering the properties of various elementary functions. The textbook is designed for university freshmen and high-school students with a keen interest in rigorous mathematical reasoning and in building a strong foundation for advanced study of elementary functions in Calculus and Analysis. The required prerequisites align with the level of high school Algebra, ensuring a smooth transition into the subject matter. The initial part of the text comprehensively covers all the preliminary concepts and results related to elementary functions, making it suitable for both classroom instruction and self-study.

Weight: 746g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031290749
Edition number: 1st ed. 2023