Full Product Details
Author: Frédéric Chazal ,
Vin de Silva ,
Marc Glisse ,
Steve Oudot
Publisher: Springer International Publishing AG
Imprint: Springer International Publishing AG
Edition: 1st ed. 2016
Dimensions:
Width: 15.50cm
, Height: 0.70cm
, Length: 23.50cm
Weight: 2.117kg
ISBN: 9783319425436
ISBN 10: 3319425439
Pages: 120
Publication Date: 17 October 2016
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
This book offers an excellent introduction to anyone interested in understanding the fundamentals of persistent homology. The exposition is clear, concise and easy to read. ... A fair overview of similar results appearing elsewhere is given, and an extensive list of suggested further reading is provided for the inspired reader. ... In short, the book offers a self-contained introduction to topics such as persistence modules, persistence diagrams, interleavings, and the famous algebraic stability theorem. (Magnus Bakke Botnan, zbMATH, 2017) This monograph develops the theory of persistence modules over the real line in a manner that is well-motivated, accessible, thorough, and self-contained. ... In this monograph, the theory of persistence modules over the reals is presented from scratch, with the main results and their proofs in a natural framework that is convenient to learn and to use. (Henry Hugh Aams, Mathematical Reviews, 2017)
This book is a very nice contribution to the subject of Topological Data Analysis. In this slim volume, the novice will find a collection of main results with their proofs and many references; additionally, experts will see persistence developed more generally than usual using measure theory. ... There are many synthesizing comments throughout the text to help the reader put the material in context, and the writing itself is lucid. (Michele Intermont, MAA Reviews, October, 2017) This monograph develops the theory of persistence modules over the real line in a manner that is well-motivated, accessible, thorough, and self-contained. (Henry Hugh Adams, Mathematical Reviews, October, 2017) This book offers an excellent introduction to anyone interested in understanding the fundamentals of persistent homology. The exposition is clear, concise and easy to read. ... A fair overview of similar results appearing elsewhere is given, and an extensive list of suggested further reading is provided for the inspired reader. ... In short, the book offers a self-contained introduction to topics such as persistence modules, persistence diagrams, interleavings, and the famous algebraic stability theorem. (Magnus Bakke Botnan, zbMATH, 2017) This monograph develops the theory of persistence modules over the real line in a manner that is well-motivated, accessible, thorough, and self-contained. ... In this monograph, the theory of persistence modules over the reals is presented from scratch, with the main results and their proofs in a natural framework that is convenient to learn and to use. (Henry Hugh Aams, Mathematical Reviews, 2017)
“This book is a very nice contribution to the subject of Topological Data Analysis. In this slim volume, the novice will find a collection of main results with their proofs and many references; additionally, experts will see persistence developed more generally than usual using measure theory. … There are many synthesizing comments throughout the text to help the reader put the material in context, and the writing itself is lucid.” (Michele Intermont, MAA Reviews, October, 2017) “This monograph develops the theory of persistence modules over the real line in a manner that is well-motivated, accessible, thorough, and self-contained.” (Henry Hugh Adams, Mathematical Reviews, October, 2017) “This book offers an excellent introduction to anyone interested in understanding the fundamentals of persistent homology. The exposition is clear, concise and easy to read. … A fair overview of similar results appearing elsewhere is given, and an extensive list of suggested further reading is provided for the inspired reader. … In short, the book offers a self-contained introduction to topics such as persistence modules, persistence diagrams, interleavings, and the famous algebraic stability theorem.” (Magnus Bakke Botnan, zbMATH, 2017) “This monograph develops the theory of persistence modules over the real line in a manner that is well-motivated, accessible, thorough, and self-contained. … In this monograph, the theory of persistence modules over the reals is presented from scratch, with the main results and their proofs in a natural framework that is convenient to learn and to use.” (Henry Hugh Aams, Mathematical Reviews, 2017)
