Singularities of Mappings: The Local Behaviour of Smooth and Complex Analytic Mappings: Grundlehren der mathematischen Wissenschaften, cartea 357
Autor David Mond, Juan J. Nuño-Ballesterosen Limba Engleză Paperback – 24 ian 2021
Part I of the book develops the now classical real C∞ and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic.
By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material,make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (1) | 516.56 lei 38-44 zile | |
Springer International Publishing – 24 ian 2021 | 516.56 lei 38-44 zile | |
Hardback (1) | 786.15 lei 38-44 zile | |
Springer International Publishing – 24 ian 2020 | 786.15 lei 38-44 zile |
Din seria Grundlehren der mathematischen Wissenschaften
- Preț: 353.84 lei
- 18% Preț: 723.26 lei
- Preț: 410.21 lei
- 24% Preț: 587.87 lei
- 17% Preț: 498.73 lei
- Preț: 592.75 lei
- 24% Preț: 893.28 lei
- 20% Preț: 824.73 lei
- 24% Preț: 632.96 lei
- 15% Preț: 584.63 lei
- 15% Preț: 700.05 lei
- Preț: 333.01 lei
- 15% Preț: 463.61 lei
- Preț: 349.35 lei
- Preț: 474.65 lei
- 15% Preț: 443.67 lei
- Preț: 447.46 lei
- 15% Preț: 694.42 lei
- Preț: 414.57 lei
- 15% Preț: 435.33 lei
- 15% Preț: 517.16 lei
- 15% Preț: 577.75 lei
- Preț: 346.30 lei
- 18% Preț: 712.93 lei
- Preț: 380.17 lei
- 15% Preț: 445.58 lei
- 15% Preț: 471.31 lei
- Preț: 455.19 lei
- Preț: 341.78 lei
- Preț: 354.78 lei
- Preț: 478.30 lei
- 15% Preț: 438.54 lei
- Preț: 411.37 lei
- Preț: 380.72 lei
- Preț: 410.79 lei
- 15% Preț: 569.27 lei
- Preț: 487.73 lei
- Preț: 353.28 lei
- Preț: 379.96 lei
- Preț: 411.37 lei
- 18% Preț: 711.07 lei
- Preț: 444.63 lei
- Preț: 378.63 lei
- Preț: 352.33 lei
Preț: 516.56 lei
Nou
Puncte Express: 775
Preț estimativ în valută:
98.89€ • 102.79$ • 81.99£
98.89€ • 102.79$ • 81.99£
Carte tipărită la comandă
Livrare economică 01-07 februarie 25
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9783030344429
ISBN-10: 3030344428
Pagini: 567
Ilustrații: XV, 567 p.
Dimensiuni: 155 x 235 mm
Greutate: 1.04 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria Grundlehren der mathematischen Wissenschaften
Locul publicării:Cham, Switzerland
ISBN-10: 3030344428
Pagini: 567
Ilustrații: XV, 567 p.
Dimensiuni: 155 x 235 mm
Greutate: 1.04 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria Grundlehren der mathematischen Wissenschaften
Locul publicării:Cham, Switzerland
Cuprins
Introduction.- Part I Thom-Mather Theory: Right-Left Equivalence, Stability,Versal Unfoldings, Finite Determinacy.- Manifolds and Smooth Mappings.- Left-Right Equivalence and Stability.- Contact Equivalence.- Versal Unfoldings.- Finite Determinacy.- Classification of Stable Germs by Their Local Algebras.- Part II Images and Discriminants: The Topology of Stable Perturbations.- Stable Images and Discriminants.- Multiple Points.- Calculating the Homology of the Image.- Multiple Points in the Target: The Case of Parameterised Hypersurfaces.- Appendix A: Jet Spaces and Jet Bundles.- Appendix B Stratifications.- Appendix C Background in Commutative Algebra.- Appendix D Local Analytic Geometry.- Appendix E Sheaves. References.- Index
Recenzii
“Exercises at the end of each section are intended to help the interested reader to study the material in depth. … In general, this book is a nice supplement to the classical and modern monographs devoted to various sides of singularity theory. It comprises a lot of material scattered throughout numerous papers and presents it in a systematic and rigorous way. No doubt, it will become a common reference for various issues covered in this book.” (Eugenii Shustin, Mathematical Reviews, January, 2023)
“The book is written in a clear pedagogical style; it contains many examples, exercises, comments, remarks, nice pictures, very useful instructive and systematic references, computational algorithms with implementation in the computer algebra software systems Macaulay 2 and Mathematica, etc. … Without a doubt, the book is understandable, interesting and useful for graduate students and can serve as a good starting point for those who are interested in various aspects of both pure and applied mathematics.” (Aleksandr G. Aleksandrov, zbMATH 1448.58032, 2020)
“The book is written in a clear pedagogical style; it contains many examples, exercises, comments, remarks, nice pictures, very useful instructive and systematic references, computational algorithms with implementation in the computer algebra software systems Macaulay 2 and Mathematica, etc. … Without a doubt, the book is understandable, interesting and useful for graduate students and can serve as a good starting point for those who are interested in various aspects of both pure and applied mathematics.” (Aleksandr G. Aleksandrov, zbMATH 1448.58032, 2020)
Notă biografică
David Mond received his PhD at the University of Liverpool and has held positions at the National University of Colombia, Bogotá, and at the University of Warwick, where he is a full professor. His main field of research is the theory of singularities of mappings, especially the geometry and topology of images and discriminants, and their relation to the deformation theory of unstable germs map-germs.
Juan J. Nuño-Ballesteros is Professor at the University of Valencia. His research is in the field of singularities of real and complex mappings and his main contributions to the subject include the topological classification of real analytic map-germs and also the Whitney equisingularity of complex analytic families of map-germs. He has also other important contributions in generic geometry (applications of Singularity Theory to the differential geometry of submanifolds in Euclidean spaces) and about global aspects of singularities of smooth mappings.
Juan J. Nuño-Ballesteros is Professor at the University of Valencia. His research is in the field of singularities of real and complex mappings and his main contributions to the subject include the topological classification of real analytic map-germs and also the Whitney equisingularity of complex analytic families of map-germs. He has also other important contributions in generic geometry (applications of Singularity Theory to the differential geometry of submanifolds in Euclidean spaces) and about global aspects of singularities of smooth mappings.
Textul de pe ultima copertă
The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings.
Part I of the book develops the now classical real C∞ and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic.
By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.
By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.
Caracteristici
Provides a self-contained introduction to the theory of singularities of mappings and ends at the frontier of current research Includes hundreds of exercises, with many designed to help master techniques of calculation A self-contained reference with 5 appendices on background material