Description

Book Synopsis
Suitable for a first year graduate course on global analysis, this title proves the basics of Fourier transforms, Sobolev theory and interior regularity at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex.

Table of Contents
Sheaves and differential manifolds: Definitions and examples Differential operators Integration on differential manifolds Cohomology of sheaves and applications Connections on principal and vector bundles; Lifting of symbols Linear connections Manifolds with additional structures Local analysis of elliptic operators Vanishing theorems and applications Appendix Bibliography Index.

Global Calculus

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    A Hardback by Sundararaman Ramanan

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      View other formats and editions of Global Calculus by Sundararaman Ramanan

      Publisher: MP-AMM American Mathematical
      Publication Date: 12/30/2004 12:00:00 AM
      ISBN13: 9780821837023, 978-0821837023
      ISBN10: 0821837028

      Description

      Book Synopsis
      Suitable for a first year graduate course on global analysis, this title proves the basics of Fourier transforms, Sobolev theory and interior regularity at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex.

      Table of Contents
      Sheaves and differential manifolds: Definitions and examples Differential operators Integration on differential manifolds Cohomology of sheaves and applications Connections on principal and vector bundles; Lifting of symbols Linear connections Manifolds with additional structures Local analysis of elliptic operators Vanishing theorems and applications Appendix Bibliography Index.

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