Techniques of Constructive Analysis von Douglas S. Bridges | ISBN 9780387381473

Techniques of Constructive Analysis

von Douglas S. Bridges und Luminita Simona Vita
Mitwirkende
Autor / AutorinDouglas S. Bridges
Autor / AutorinLuminita Simona Vita
Buchcover Techniques of Constructive Analysis | Douglas S. Bridges | EAN 9780387381473 | ISBN 0-387-38147-3 | ISBN 978-0-387-38147-3

From the reviews:

„Constructive mathematics is often mistakenly thought to be a branch of formal logic, or to involve recursive function theory. The recent Bridges-Vîta textbook is an exemplar of perseverance in efforts to correct this situation. For students at the graduate level it is an excellent introduction to constructive mathematics: for the more experienced reader it is a portal to some of the latest research using constructive methods.“ (Mark Mandelkern, Zentralblatt MATH, Vol. 1107 (9), 2007)

„Bridges and Vita (both, Univ. of Canterbury, New Zealand) offer a book, written jointly by an associate (Bridges) of the famous Errett Bishop … . Thorough index; plentiful exercises and references. Eminently suitable. Summing Up: Recommended. Upper-division undergraduates through faculty.“ (F. E. J. Linton, CHOICE, Vol. 44 (11), August, 2007)

„The authors have written a valuable introduction to constructive analysis, devoting the larger part of their space and efforts to subjects from constructive functional analysis, a field to which they have made important contributions themselves. … Without a doubt, this well-written book shows constructive analysis to be a serious and important subject. The authors, who have thought on their subject long and deeply, deserve our thanks.“ (Wim Veldman, Mathematical Reviews, Issue 2008 a)

Techniques of Constructive Analysis

von Douglas S. Bridges und Luminita Simona Vita
Mitwirkende
Autor / AutorinDouglas S. Bridges
Autor / AutorinLuminita Simona Vita
Only book to deal with developments in Bishop-style constructive analysis over the past 20 years Specific focus on techniques and themes, and includes many simplified or improved proofs Instead of using classical logic, author uses intuitionistic logic Computer scientists interested in implementing mathematics will find it a good source of proofs from which to extract programs