Inverse and ill-posed problems [[electronic resource] ] : theory and applications / / Sergey I. Kabanikhin

• Record Nr.: UNINA9910791969603321
• Autore: Kabanikhin S. I
• Pubbl/distr/stampa: Berlin ; ; Boston, : De Gruyter, c2012
• ISBN: 3-11-022401-1
• Descrizione fisica: 1 online resource (475 p.)
• Collana: Inverse and ill-posed problems series, , 1381-4524 ; ; 55
• Classificazione: SK 950
• Disciplina: 515/.357
• Soggetti: Inverse problems (Differential equations); Boundary value problems - Improperly posed problems
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Frontmatter -- Preface / Kabanikhin, Sergey I. -- Denotations -- Contents -- Chapter 1. Basic concepts and examples -- Chapter 2. Ill-posed problems -- Chapter 3. Ill-posed problems of linear algebra -- Chapter 4. Integral equations -- Chapter 5. Integral geometry -- Chapter 6. Inverse spectral and scattering problems -- Chapter 7. Linear problems for hyperbolic equations -- Chapter 8. Linear problems for parabolic equations -- Chapter 9. Linear problems for elliptic equations -- Chapter 10. Inverse coefficient problems for hyperbolic equations -- Chapter 11. Inverse coefficient problems for parabolic and elliptic equations -- Appendix A -- Appendix B -- Epilogue -- Bibliography -- Index
• Sommario/riassunto: The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a subject in which its creator takes a keen interest. The concept of ill-posed problems was introduced by Hadamard with the comment that these problems are physically meaningless and not worthy of the attention of serious researchers. Despite Hadamard's pessimistic forecasts, however, his unloved "child" has turned into a powerful theory whose results are used in many fields of pure and applied mathematics. What is the secret of its success? The answer is clear. Ill-posed problems occur everywhere and it is unreasonable to ignore them. Unlike ill-posed problems, inverse problems have no strict mathematical definition. In general, they can be described as the task of recovering a part of the data of a ; corresponding direct (well-posed) problem from information about its solution. Inverse problems were first encountered in practice and are mostly ill-posed. The urgent need for their solution, especially in geological exploration and medical diagnostics, has given powerful impetus to the development of the theory of ill-posed problems. Nowadays, the terms "inverse problem" and "ill-posed problem" are inextricably linked to each other. Inverse and ill-posed problems are currently attracting great interest. A vast literature is devoted to these problems, making it necessary to systematize the accumulated material. This book is the first small step in that direction. We propose a classification of inverse problems according to the type of equation, unknowns and additional information. We consider specific problems from a single position and indicate relationships between them. The problems relate to different areas of mathematics, such as linear algebra, theory of integral equations, integral geometry, spectral theory and mathematical physics. We give examples of applied problems that can be studied using the techniques we describe. This book was conceived as a textbook on the foundations of the theory of inverse and ill-posed problems for university students. The author's intention was to explain this complex material in the most accessible way possible. The monograph is aimed primarily at those who are just beginning to get to grips with inverse and ill-posed problems but we hope that it will be useful to anyone who is interested in the subject.

African Perspectives on Poverty, Indigenous Knowledge Systems, and Innovation / / edited by Oliver Mtapuri

• Record Nr.: UNINA9910631078403321
• Pubbl/distr/stampa: Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022
• ISBN: 9789811958564
• Edizione: [1st ed. 2022.]
• Descrizione fisica: 1 online resource (236 pages)
• Collana: Social Sciences Series
• Disciplina: 001.089
• Soggetti: Economic development; Africa - Politics and government; Welfare economics; Welfare state; Political planning; Development Studies; African Politics; Social Economy; Welfare; Public Policy
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Introduction. Tackling poverty and inequality -- Part 1 Povery and Indigenous Knowledge Systems -- Chapter 1. Onomastic and Conceptual Pathologisation of African Culture as a Creation and Perpetuation of African Poverty in Zimbabwe -- Cha.pter 2. Empirecrafting or Statecrafting Africa? Beyond Banal “Traditional” Witchery and Towards Rebuilding the Moral Economy -- Chapter 3. Impoverishment as a Constraint to Africa’s Social Development -- Chapter 4. Indigenous Knowledge and Poverty Alleviation in Contemporary Zimbabwe -- Chapter 5. The Efficacy of Traditional Institutions in the Conservation of Sacred Heritage Resources in Zimbabwe.
• Sommario/riassunto: This book examines the connections between poverty and innovation in Africa. Through case studies and theorizations from a distinctly African ; perspective, it stands in contrast to current theoretical works in the field, which remain very much rooted in Western-orientated thinking. The book investigates the application of methodologies which explain numerous African contexts in connection with issues of poverty and inequality. It reflects on comparative practices and praxes on the African continent, including commonplace traditions and practices in alleviating poverty, taken against a background of the failure of current prescriptions for poverty alleviation, such as the Structural Adjustment Programmes (SAPs) and the Poverty Reduction Strategy Papers (PRSP). There is a dire need for new practical perspectives which move Africa forward using its indigenous knowledge. Owing to a general lack of recorded African theories and methodologies on poverty, inequality and innovation, this book represents a pioneering corpus of African knowledge addressing poverty and inequality through local innovations. Adopting a transdisciplinary approach, it is relevant to students and scholars in development studies and economics, African studies, social studies, political history and political economy, climate studies, anthropology and geography.