المصدر: كتاب : Mathematical analysis في منتدى : قسم الرياضيات Mathematical analysis Mathematical analysis Publisher: Oliver and Boyd | ISBN: 0050023462 | edition 1971 | PDF | 152 pages | 11,2 mb This book covers the material of a second analysis course in an Honours Mathematics degree programme, and is based on lectures given to second year undergraduates at the University of Nottingham. The basic ideas of abstract analysis are presented in an informal style, though the usual standards of mathematical rigour are consistently maintained. For example, several of the harder theorems are illustrated graphically, to give the reader an insight into why the results are valid. The many applications, discussed in the text, help to underline the importance of abstract analysis. The essential nature of the hypotheses of the stated theorems is frequently emphasised by appropriate counterexamples in the text or in the problems at the end of each chapter.
