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Selected Works of Eberhard Hopf with Commentaries
 
Edited by: Cathleen S. Morawetz New York University-Courant Institute, New York, NY
James B. Serrin University of Minnesota, Minneapolis, MN
Yakov G. Sinai Princeton University, Princeton, NJ
Selected Works of Eberhard Hopf with Commentaries
This title is not currently available
Selected Works of Eberhard Hopf with Commentaries
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Selected Works of Eberhard Hopf with Commentaries
Edited by: Cathleen S. Morawetz New York University-Courant Institute, New York, NY
James B. Serrin University of Minnesota, Minneapolis, MN
Yakov G. Sinai Princeton University, Princeton, NJ
This title is not currently available
  • Book Details
     
     
    Collected Works
    Volume: 172002; 396 pp
    MSC: Primary 30; 34; 35; 37; Secondary 45; 47

    This work celebrates the work of Eberhard Hopf, a founding father of ergodic theory, a mathematician who produced many beautiful, elegantly written, and now classical, results in integral equations and partial differential equations. Hopf's results remain at the core of these fields, and the title includes Hopf's original mathematical papers, still notable for their elegance and clarity of the writing, with accompanying summaries and commentary by well-known mathematicians.

    Today, ergodic theory and P.D.E. continue to be active, important areas of mathematics. In this volume the reader will find the roots of many ergodic theory concepts and theorems. Hopf authored fundamental results for P.D.E., such as the maximum principle of elliptic equations and the complete solution of Burger's equation. The familiar properties of elliptic equations were proved for the first time in his earliest work and are included here. His bifurcation theorem, still used over and over again, is a particular gem. The proof of the Wiener-Hopf Theorem is a stunning application of deep analysis.

    The volume is presented in two main parts. The first section is dedicated to classical papers in analysis and fluid dynamics, and the second to ergodic theory.

    These works and all the others in the Selected Works carry commentaries by a stellar group of mathematicians who write of the origin of the problems, the important results that followed. Many a mathematical researcher and graduate student will find these collected works to be an excellent resource.

    Readership

    Graduate students and research mathematicians interested in analysis.

  • Reviews
     
     
    • The value and interest of the book is also highly increased by the commentaries on Hopf's main achievements, written by experts ... 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.

      Zentralblatt MATH
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 172002; 396 pp
MSC: Primary 30; 34; 35; 37; Secondary 45; 47

This work celebrates the work of Eberhard Hopf, a founding father of ergodic theory, a mathematician who produced many beautiful, elegantly written, and now classical, results in integral equations and partial differential equations. Hopf's results remain at the core of these fields, and the title includes Hopf's original mathematical papers, still notable for their elegance and clarity of the writing, with accompanying summaries and commentary by well-known mathematicians.

Today, ergodic theory and P.D.E. continue to be active, important areas of mathematics. In this volume the reader will find the roots of many ergodic theory concepts and theorems. Hopf authored fundamental results for P.D.E., such as the maximum principle of elliptic equations and the complete solution of Burger's equation. The familiar properties of elliptic equations were proved for the first time in his earliest work and are included here. His bifurcation theorem, still used over and over again, is a particular gem. The proof of the Wiener-Hopf Theorem is a stunning application of deep analysis.

The volume is presented in two main parts. The first section is dedicated to classical papers in analysis and fluid dynamics, and the second to ergodic theory.

These works and all the others in the Selected Works carry commentaries by a stellar group of mathematicians who write of the origin of the problems, the important results that followed. Many a mathematical researcher and graduate student will find these collected works to be an excellent resource.

Readership

Graduate students and research mathematicians interested in analysis.

  • The value and interest of the book is also highly increased by the commentaries on Hopf's main achievements, written by experts ... 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.

    Zentralblatt MATH
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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