1.

Record Nr.

UNINA9910820129103321

Autore

Gillispie Charles Coulston

Titolo

Science and polity in France : the revolutionary and Napoleonic years / / Charles Coulston Gillispie

Pubbl/distr/stampa

Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2004

©2004

ISBN

0-691-11541-9

1-4008-6531-X

1-322-11689-X

1-282-08718-5

9786612087189

Edizione

[Course Book]

Descrizione fisica

1 online resource (763 p.)

Disciplina

509.44

Soggetti

Science - France - History

Science and state - France

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

This volume is: The revolutionary and Napoleonic years.

Originally published: Science and polity in France at the end of the Old Regime. Princeton, N.J. : Princeton University Press, c1980.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Contents -- Preface -- A Note on the Citations -- Part One. Institutions -- Chapter I. The State And Science -- Chapter II. Science and the State -- Part Two. Professions -- Chapter III. Science and Medicine -- CHAPTER IV. Scientists and Charlatans -- Part Three. Applications -- CHAPTER V. Trades and Agriculture -- CHAPTER VI. Industry and Invention -- CHAPTER VII. Engineering, Civil and Military -- Conclusion -- Bibliography -- Index

Sommario/riassunto

By the end of the eighteenth century, the French dominated the world of science. And although science and politics had little to do with each other directly, there were increasingly frequent intersections. This is a study of those transactions between science and state, knowledge and power--on the eve of the French Revolution. Charles Gillispie explores how the links between science and polity in France were related to governmental reform, modernization of the economy, and



professionalization of science and engineering.

2.

Record Nr.

UNINA9910746081803321

Autore

Giga Mi-Ho

Titolo

A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations / / by Mi-Ho Giga, Yoshikazu Giga

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023

ISBN

3-031-34796-X

Edizione

[1st ed. 2023.]

Descrizione fisica

1 online resource (163 pages)

Collana

Compact Textbooks in Mathematics, , 2296-455X

Altri autori (Persone)

GigaYoshikazu

Disciplina

515.35

515.353

Soggetti

Differential equations

Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

1 Uniqueness of solutions to initial value problems for ordinary differential equation -- 2 Ordinary differential equations and transport equation -- 3 Uniqueness of solutions to initial value problems for a scalar conversation law -- 4 Hamilton-Jacobi equations -- 5 Appendix: Basic terminology.

Sommario/riassunto

This book addresses the issue of uniqueness of a solution to a problem – a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon. This book is intended to be a short introduction to uniqueness questions for initial value problems. One often weakens the notion of a solution to include non-differentiable solutions. Such a solution is called a weak solution. It is easier to find a weak solution, but it is more difficult to establish its uniqueness. This book examines three very fundamental equations: ordinary differential equations, scalar conservation laws, and Hamilton-Jacobi equations. Starting from the standard Gronwall inequality, this book discusses less regular ordinary differential equations. It includes an introduction of advanced



topics like the theory of maximal monotone operators as well as what is called DiPerna-Lions theory, which is still an active research area. For conservation laws, the uniqueness of entropy solution, a special (discontinuous) weak solution is explained. For Hamilton-Jacobi equations, several uniqueness results are established for a viscosity solution, a kind of a non-differentiable weak solution. The uniqueness of discontinuous viscosity solution is also discussed. A detailed proof is given for each uniqueness statement. The reader is expected to learn various fundamental ideas and techniques in mathematical analysis for partial differential equations by establishing uniqueness. No prerequisite other than simple calculus and linear algebra is necessary. For the reader’s convenience, a list of basic terminology is given at the end of this book.