Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they work together. This book provides those students with the coherent account that they need. ""A Companion to Analysis"" explains the problems that must be resolved in order to procure a rigorous development of the calculus and shows the student how to deal with those problems. Starting with the real line, the book moves on to finite-dimensional spaces and then to metric spaces. Readers who work through this text will be ready for courses such as measure theory, functional analysis, complex analysis, and differential geometry.Moreover, they will be well on the road that leads from mathematics student to mathematician. With this book, well-known author Thomas Korner provides able and hard-working students a great text for independent study or for an advanced undergraduate or first-level graduate course. It includes many stimulating exercises. An appendix contains a large number of accessible but non-routine problems that will help students advance their knowledge and improve their technique.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
T. W. Körner, University of Cambridge, Cambridge, England
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. Explains the problems that must be resolved in order to procure a rigorous development of the calculus and shows the student how to deal with those problems. Starting with the real line, this book also covers finite-dimensional spaces and metric spaces. Series: Graduate Studies in Mathematics. Num Pages: 590 pages, Illustrations. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 184 x 262 x 36. Weight in Grams: 1236. . 2003. Hardcover. . . . . N° de réf. du vendeur V9780821834473
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Etat : New. Explains the problems that must be resolved in order to procure a rigorous development of the calculus and shows the student how to deal with those problems. Starting with the real line, this book also covers finite-dimensional spaces and metric spaces. Series: Graduate Studies in Mathematics. Num Pages: 590 pages, Illustrations. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 184 x 262 x 36. Weight in Grams: 1236. . 2003. Hardcover. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780821834473
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