Full Product Details
Author: Peter Bürgisser ,
Felipe Cucker
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: Softcover reprint of the original 1st ed. 2013
Volume: 349
Dimensions:
Width: 15.50cm
, Height: 3.00cm
, Length: 23.50cm
Weight: 8.774kg
ISBN: 9783642440120
ISBN 10: 3642440126
Pages: 554
Publication Date: 22 August 2015
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
“The book under review is divided into three parts, ‘which approximately correspond to themes of conditioning in linear algebra, linear programming, and polynomial equation solving’. … Given its detailed covering of a wide range of topics and its geometric approach, I think this book may well become a must-have for all who are seriously interested in numerical algorithms.” (S. C. Coutinho, The Mathematical Gazette, Vol. 99 (546), November, 2015) “This book published in 2013 is the first book devoted entirely on this subject. It must be said that this book is a full success since it realizes a synthesis of ideas and works on the mathematical foundations on conditioning. … The book is self contained and easy to read … . The book ends with the statement of eighteen open problems that shows that Mr. Condition has a bright future ahead of him.” (Jean-Claude Yakoubsohn, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 117, 2015) “The authors intend with this book to fill the gap by addressing the probabilistic analysis of the algorithms related to condition numbers. … Under the vigilant eyes of so many famous scientists, it is sure that this book is a milestone in this area of research. … The monograph under review is without any doubt a very carefully prepared one, and researchers interested in numerical analysis (and related topics) should become familiar with this book.” (Elena Pelican, Mathematical Reviews, August, 2014) “This book studies a type of numerical imprecision that arises universally. … Bürgisser (Technical Univ. of Berlin, Germany) and Cucker (City Univ. of Hong Kong) provide the first book-length treatment of the concept. … Summing Up: Recommended. Upper-division undergraduates through researchers/faculty.” (D. V. Feldman, Choice, Vol. 51 (11), July, 2014) “The authors of this book discuss the ways that such errors are produced in a computer, and consider the use of condition numbers to understand the performance of numerical algorithms. … this monograph not only offers a well-organized and systematic introduction to the subject, but also works as a useful reference for advanced researchers.” (Tanbir Ahmed, Computing Reviews, November, 2013)
The book under review is divided into three parts, `which approximately correspond to themes of conditioning in linear algebra, linear programming, and polynomial equation solving'. ... Given its detailed covering of a wide range of topics and its geometric approach, I think this book may well become a must-have for all who are seriously interested in numerical algorithms. (S. C. Coutinho, The Mathematical Gazette, Vol. 99 (546), November, 2015) This book published in 2013 is the first book devoted entirely on this subject. It must be said that this book is a full success since it realizes a synthesis of ideas and works on the mathematical foundations on conditioning. ... The book is self contained and easy to read ... . The book ends with the statement of eighteen open problems that shows that Mr. Condition has a bright future ahead of him. (Jean-Claude Yakoubsohn, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 117, 2015) The authors intend with this book to fill the gap by addressing the probabilistic analysis of the algorithms related to condition numbers. ... Under the vigilant eyes of so many famous scientists, it is sure that this book is a milestone in this area of research. ... The monograph under review is without any doubt a very carefully prepared one, and researchers interested in numerical analysis (and related topics) should become familiar with this book. (Elena Pelican, Mathematical Reviews, August, 2014) This book studies a type of numerical imprecision that arises universally. ... Burgisser (Technical Univ. of Berlin, Germany) and Cucker (City Univ. of Hong Kong) provide the first book-length treatment of the concept. ... Summing Up: Recommended. Upper-division undergraduates through researchers/faculty. (D. V. Feldman, Choice, Vol. 51 (11), July, 2014) The authors of this book discuss the ways that such errors are produced in a computer, and consider the use of condition numbers to understand the performance of numerical algorithms. ... this monograph not only offers a well-organized and systematic introduction to the subject, but also works as a useful reference for advanced researchers. (Tanbir Ahmed, Computing Reviews, November, 2013)
The book under review is divided into three parts, 'which approximately correspond to themes of conditioning in linear algebra, linear programming, and polynomial equation solving'. ... Given its detailed covering of a wide range of topics and its geometric approach, I think this book may well become a must-have for all who are seriously interested in numerical algorithms. (S. C. Coutinho, The Mathematical Gazette, Vol. 99 (546), November, 2015) This book published in 2013 is the first book devoted entirely on this subject. It must be said that this book is a full success since it realizes a synthesis of ideas and works on the mathematical foundations on conditioning. ... The book is self contained and easy to read ... . The book ends with the statement of eighteen open problems that shows that Mr. Condition has a bright future ahead of him. (Jean-Claude Yakoubsohn, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 117, 2015) The authors intend with this book to fill the gap by addressing the probabilistic analysis of the algorithms related to condition numbers. ... Under the vigilant eyes of so many famous scientists, it is sure that this book is a milestone in this area of research. ... The monograph under review is without any doubt a very carefully prepared one, and researchers interested in numerical analysis (and related topics) should become familiar with this book. (Elena Pelican, Mathematical Reviews, August, 2014) This book studies a type of numerical imprecision that arises universally. ... Burgisser (Technical Univ. of Berlin, Germany) and Cucker (City Univ. of Hong Kong) provide the first book-length treatment of the concept. ... Summing Up: Recommended. Upper-division undergraduates through researchers/faculty. (D. V. Feldman, Choice, Vol. 51 (11), July, 2014) The authors of this book discuss the ways that such errors are produced in a computer, and consider the use of condition numbers to understand the performance of numerical algorithms. ... this monograph not only offers a well-organized and systematic introduction to the subject, but also works as a useful reference for advanced researchers. (Tanbir Ahmed, Computing Reviews, November, 2013)
Author Information
Peter Bürgisser is an internationally recognized expert in complexity theory. He is associate editor of the journal Computational Complexity and he was invited speaker at the 2010 International Congress Mathematicians. Felipe Cucker is well known for his work on complexity over the real numbers, jointly with L. Blum, S. Smale and M. Shub. He also worked in learning theory and made seminal contributions to condition numbers in optimization and their probabilistic analyses. F.C. is former chair of the Society for the Foundations of Computational Mathematics and the current managing editor of the society's journal.
