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**Selected works of Eberhard Hopf. With commentaries. Edited by Cathleen S. Morawetz, James B. Serrin and Yakov G. Sinai.**
*(English)*
Zbl 1011.01017

Collected works. No. 17. Providence, RI: American Mathematical Society (AMS). xiii, 396 p. (2002).

Eberhard Hopf’s contributions to mathematics are impressive by their deepness and their diversity. Mathematicians hear very early about his maximum principle, his bifurcation theorem, his existence theorem for Navier-Stokes equation, his concept of chain in ergodic theory, Burgers-Hopf equation.

Therefore it was very appropriate to propose a selection of Hopf’s more important papers, which allows to find easily the original papers containing those seminal contributions, and to discover that Hopf has also written important papers on other topics.

The value and interest of the book is also highly increased by the commentaries on Hopf’s main achievements, written by experts like Golubitsky, Lax, Morawetz, Nirenberg, Ornstein, Rabinowitz, Serrin, Sinai, Temam, Weinberger, Widom. Most of them are real gems.

The book also contains a short curriculum vitae, a complete list of publications and a portrait of Eberhard Hopf. It should be in every mathematical library.

Therefore it was very appropriate to propose a selection of Hopf’s more important papers, which allows to find easily the original papers containing those seminal contributions, and to discover that Hopf has also written important papers on other topics.

The value and interest of the book is also highly increased by the commentaries on Hopf’s main achievements, written by experts like Golubitsky, Lax, Morawetz, Nirenberg, Ornstein, Rabinowitz, Serrin, Sinai, Temam, Weinberger, Widom. Most of them are real gems.

The book also contains a short curriculum vitae, a complete list of publications and a portrait of Eberhard Hopf. It should be in every mathematical library.

Reviewer: Jean Mawhin (Louvain-la-Neuve)

### MSC:

01A75 | Collected or selected works; reprintings or translations of classics |

28-03 | History of measure and integration |

35-03 | History of partial differential equations |

37-03 | History of dynamical systems and ergodic theory |