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Lectures on the geometry of manifolds / by Liviu I. Nicolaescu.

By: Nicolaescu, Liviu IMaterial type: TextTextPublication details: New Jersey : World Scientific, ©2007. Edition: 2nd edDescription: 1 online resource (xvii, 589 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9789812770295; 9812770291Subject(s): Geometry, Differential | Manifolds (Mathematics) | MATHEMATICS -- Geometry -- Differential | Geometry, Differential | Manifolds (Mathematics)Genre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Lectures on the geometry of manifolds.DDC classification: 516.3/62 LOC classification: QA649 | .N53 2007ebOnline resources: Click here to access online
Contents:
1. Introduction -- 2. Natural constructions on manifolds -- 3. Calculus on manifolds -- 4. Riemannian geometry -- 5. Elements of the calculus of variations -- 6. The fundamental group and covering spaces -- 7. Cohomology -- 8. Characteristic classes -- 9. Classical integral geometry -- 10. Elliptic equations on manifolds -- 11. Dirac operators.
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Includes bibliographical references (pages 579-582) and index.

Print version record.

1. Introduction -- 2. Natural constructions on manifolds -- 3. Calculus on manifolds -- 4. Riemannian geometry -- 5. Elements of the calculus of variations -- 6. The fundamental group and covering spaces -- 7. Cohomology -- 8. Characteristic classes -- 9. Classical integral geometry -- 10. Elliptic equations on manifolds -- 11. Dirac operators.

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