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Jan 1, 1956 — —· 70 yrs

MATHEMATICS · GLOBAL DIFFERENTIAL GEOMETRY

Jürgen Jost

Also known as: Jurgen Jost, Jürgen Jost

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In recent years string theory has attracted great interest in physics and mathematics and has become one of the main sources of mutual stimulation and cross fertilization in these areas.

— from A mathematical introduction to string theory

Most acclaimed

#1

Partial differential equations

1985

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"This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view toward nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity methods. This book also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. Connections between elliptic, parabolic, and hyperbolic equations are explored, as well as the connection with Brownian motion and semigroups. This book can be utilized for a one-year course on partial differential equations."--BOOK JACKET.

#2

Calculus of variations

1925

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#3

Compact Riemann Surfaces

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Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporary mathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

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