Analysis and Probability: Wavelets, Signals, Fractals: 234 (Graduate Texts in Mathematics)

Book Details:

• Publisher: Springer

• Author: Palle E. T. Jorgensen

• Language: English

• Edition: 2006 ed.

• ISBN: 9780387295190

• Pages: 280

• Cover: Hardcover (Illustrated)

• Dimensions: 9.4 x 6.5 x 0.9 inches

About The Book:

Analysis by Palle E. T. Jorgensen takes a unique approach to traditional graduate-level analysis courses by emphasizing connections to other fields, such as wavelets, fractals, and signals. These interdisciplinary connections make the book not just an analysis text, but also an exploration into how different branches of mathematics intersect, offering fresh insights into applied mathematics.

The book's structure weaves together various themes that complement each other, offering a holistic view of analysis. The author takes a broad approach to the subject, helping students understand how modern trends in mathematics have blurred the lines between core disciplines. Despite this broader scope, the text is designed to be intuitive and visually guided, requiring minimal prerequisites—typically no more than the foundation covered in most graduate programs.

This makes it an ideal text for students who are seeking to deepen their understanding of analysis while also learning about its applications in real-world problems. The book's focus on connections to probabilistic concepts and its accessible treatment of complex topics sets it apart from traditional analysis texts, making it a valuable resource for both students and professionals in mathematics and related fields.

With a clear, approachable style and a focus on natural, geometric, and visual understanding, Analysis provides a comprehensive introduction to modern analysis and its exciting intersections with other areas of mathematics.