From the reviews of the second edition:

“The authors write with a strong narrative thrust and a sensitive appreciation of the needs of the average student so that, by the final chapter, there is a real feeling of having “gotten somewhere worth getting” by a sensibly paced, clearly signposted route.” Mathematical Gazette, 2000

“It is a fine book, with material well-organized and well-presented. A particularly useful feature is the material on compact operators and applications to differential equations.” CHOICE magazine

“The presentation is quite elementary, and there are sufficiently many illuminating examples and exercises… this nice textbook perfectly fits the readership, i.e., undergraduate students in mathematics and physics… It may be recommended to all students who want to get in touch with the basic ideas of functional analysis and operator theory for the first time.” Zentralblatt MATH

“I highly recommend this book for independent study or as a supplement to a text. You can see if you’re on the right track with exercises because the text has solutions and hints in the back. … This undergrad text is extremely clear, with lots of examples and exercises.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, October, 2013)

“This is the second edition of a gentle introduction to basic normed, linear functional analysis. … it provides a first course on the topic on an (early) undergraduate level. … The text is carefully written and the clear and precise style makes it an easy read. The book contains many instructive examples and a wealth of exercises including solutions.” (R. Steinbauer, Monatshefte für Mathematik, Vol. 162 (3), March, 2011)

“This book is an excellent introductory textbook for upper-level undergraduate (pure) mathematics students and is very well written with much care given to clear, precise, and complete notation and argumentation. … Plenty of cross-references are included to point the reader to relevant material covered earlier in the book.” (Greg E. Fasshauer, SIAM Review, Vol. 52 (1), 2010)

Product details