Advanced Analysis - Ramadan Sabra - Bog

In this book we introduce eleven chapters which cover the most important subjects in mathematical analysis, Calculus, Series, Reimann's Integral, Measure Theory, Lebesgue Integral, Complex Analysis, Metric Space, Normed Space, Hilbert Space, Operators, Generalized Functions. This book is important for undergraduate and graduate students because we introduce the main subjects of mathematical analysis.In the last chapter ( Generalized Functions ) we introduce the generalized function as a linear bounded functional on the space of test functions.Also we define the translations in the space of generalized functions. We show that the operation of multiplication is not associative.