This concise text provides a gentle introduction to functional analysis. Chapters cover
essential topics such as special spaces normed spaces linear functionals and Hilbert spaces.
Numerous examples and counterexamples aid in the understanding of key concepts while exercises
at the end of each chapter provide ample opportunities for practice with the material. Proofs
of theorems such as the Uniform Boundedness Theorem the Open Mapping Theorem and the Closed
Graph Theorem are worked through step-by-step providing an accessible avenue to understanding
these important results. The prerequisites for this book are linear algebra and elementary real
analysis with two introductory chapters providing an overview of material necessary for the
subsequent text. Functional Analysis offers an elementary approach ideal for the
upper-undergraduate or beginning graduate student. Primarily intended for a one-semester
introductory course this text is also a perfect resource for independent study or as the basis
for a reading course.
