Bernard R. Gelbaum Livres

Focusing on advanced analysis, this revised edition features an expanded collection of 878 problems and solutions, including a new section on complex analysis. It corrects previous errors and enhances the index, glossary, and symbol list for better navigation. Designed for readers familiar with real and complex analysis, the book aims to deepen understanding of modern analytical concepts. Conventions and special terms are clarified throughout, ensuring a comprehensive resource for students and practitioners alike.

These counterexamples deal mostly with the part of analysis known as "real variables." The 1st half of the book discusses the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, more. The 2nd half examines functions of 2 variables, plane sets, area, metric and topological spaces, and function spaces. 1962 edition. Includes 12 figures.