Beginning Functional Analysis Karen Saxe is an English-language textbook aimed at functional analysis. This book serves as course material for advanced undergraduate students and beginning master’s students in mathematics. It requires prior knowledge of real analysis and linear algebra, without needing knowledge of the Lebesgue integral.
The book covers the basic concepts of functional analysis and provides an accessible overview, including, among other things, elementary facts about complex numbers. Specific properties of analytic functions are discussed in a separate section, including the necessary results for students without prior complex function theory.
Suitable for use in honours seminars, capstone courses, or independent study. It begins with a solid foundation in analysis and algebra and extends this into functional analysis within the mathematical context.
Part of the series Undergraduate Texts in Mathematics. Thematically aligned with topics such as calculus and mathematical analysis.