Book Review: Introduction to spectral theory: Selfadjoint ordinary differential operators
Vangipuram Lakshmikantham · Bulletin of the American Mathematical Society · 1977
particular book) it is simply a mistake to try to teach this material to students without some background in abstract mathematics.They can not appreciate what is going on.For students with such a background, this could be a useful book, but it should be supplemented with many, many more examples and applications.Of course this is exactly the kind of thing a teacher can and should do. The Ponasse book.This book concentrates almost exclusively on the Completeness Theorem and its relation with Boolean algebra and general topology.The Compactness and Löwenheim-Skolem Theorems are there, but never discussed or used.There are almost no examples or applications, and the Incompleteness Theorems are not mentioned.What the book does cover could be useful to a student of logic, but it would be an unfortunate way to introduce mathematics students to the basic concerns of mathematical logic.