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Handbook of global analysis

Krupka, D.

Handbook of global analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Handbook of global analysisedited by Demeter Krupka and David Saunders.
remainder title:	Global analysis
other author:	Krupka, D.
Published:	Amsterdam ;Elsevier,2008.
Description:	xii, 1229 p. ;25 cm.
Subject:	Global analysis (Mathematics)
Online resource:	An electronic book accessible through the World Wide Web; click for information
ISBN:	9780444528339

Handbook of global analysis
Handbook of global analysis[electronic resource] /Global analysisedited by Demeter Krupka and David Saunders. - 1st ed. - Amsterdam ;Elsevier,2008. - xii, 1229 p. ;25 cm.

Includes bibliographical references and index.

Preface -- Contents -- 1. Global aspects of Finsler geometry (T. Aikou and L. Kozma) -- 2. Morse theory and nonlinear differential equations (T. Bartsch, A. Szulkin and M. Willem) -- 3. Index theory (D. Bleecker) -- 4. Partial differential equations on closed and open manifolds (J. Eichhorn) -- 5. Spectral geometry (P. Gilkey) -- 6. Lagrangian formalism on Grassmann manifolds (D.R. Grigore) -- 7. Sobolev spaces on manifolds (E. Hebey and F. Robert) -- 8. Harmonic maps (F. �Hlein and J.C. Wood) -- 9. Topology of differentiable mappings (K. Houston) -- 10. Group actions and Hilbert's fifth problem (S. Illman) -- 11. Exterior differential systems (N. Kamran) -- 12. Weil bundles as generalized jet spaces (I. Ko�lr) -- 13. Distributions, vector distributions, and immersions of manifolds in Euclidean spaces (J. Korbas) -- 14. Geometry of differential equations (B. Kruglikov and V. Lychagin) -- 15. Global variational theory in fibred spaces (D. Krupka) -- 16. Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations (O. Krupko�v and G.E. Prince) -- 17. Elements of noncommutative geometry (G. Landi) -- 18. De Rham cohomology (M.A. Malakhaltsev) -- 19. Topology of manifolds with corners (J. Margalef-Roig and E. Outerelo Do�mnguez) -- 20. Jet manifolds and natural bundles (D.J. Saunders) -- 21. Some aspects of differential theories (J. Szilasi and R.L. Lovas) -- 22. Variational sequences (R. Vitolo) -- 23. The Oka-Grauert-Gromov principle for holomorphic bundles (P-M. Wong) -- A. Abstracts.

This is a comprehensive exposition of topics covered by the American Mathematical Societys classification Global Analysis, dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics. This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics - Written by world-experts in the field - Up-to-date contents.

Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2008.

Mode of access: World Wide Web.

ISBN: 9780444528339

Source: 134152:134279Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

199030
Global analysis (Mathematics)
Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA614 / .H36 2008eb

Dewey Class. No.: 514.74

Handbook of global analysis
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245 0 0 $a Handbook of global analysis $h [electronic resource] / $c edited by Demeter Krupka and David Saunders.
246 3 $a Global analysis
250 $a 1st ed.
260 $a Amsterdam ; $a Boston : $b Elsevier, $c 2008.
300 $a xii, 1229 p. ; $c 25 cm.
504 $a Includes bibliographical references and index.
505 0 $a Preface -- Contents -- 1. Global aspects of Finsler geometry (T. Aikou and L. Kozma) -- 2. Morse theory and nonlinear differential equations (T. Bartsch, A. Szulkin and M. Willem) -- 3. Index theory (D. Bleecker) -- 4. Partial differential equations on closed and open manifolds (J. Eichhorn) -- 5. Spectral geometry (P. Gilkey) -- 6. Lagrangian formalism on Grassmann manifolds (D.R. Grigore) -- 7. Sobolev spaces on manifolds (E. Hebey and F. Robert) -- 8. Harmonic maps (F. �Hlein and J.C. Wood) -- 9. Topology of differentiable mappings (K. Houston) -- 10. Group actions and Hilbert's fifth problem (S. Illman) -- 11. Exterior differential systems (N. Kamran) -- 12. Weil bundles as generalized jet spaces (I. Ko�lr) -- 13. Distributions, vector distributions, and immersions of manifolds in Euclidean spaces (J. Korbas) -- 14. Geometry of differential equations (B. Kruglikov and V. Lychagin) -- 15. Global variational theory in fibred spaces (D. Krupka) -- 16. Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations (O. Krupko�v and G.E. Prince) -- 17. Elements of noncommutative geometry (G. Landi) -- 18. De Rham cohomology (M.A. Malakhaltsev) -- 19. Topology of manifolds with corners (J. Margalef-Roig and E. Outerelo Do�mnguez) -- 20. Jet manifolds and natural bundles (D.J. Saunders) -- 21. Some aspects of differential theories (J. Szilasi and R.L. Lovas) -- 22. Variational sequences (R. Vitolo) -- 23. The Oka-Grauert-Gromov principle for holomorphic bundles (P-M. Wong) -- A. Abstracts.
505 0 $a Global aspects of Finsler geometry / T. Aikou and L. Kozma -- Morse theory and nonlinear differential equations / T. Bartsch, A. Szulkin and M. Willem -- Index theory / D. Bleecker -- Partial differential equations on closed and open manifolds / J. Eichhorn -- Spectral geometry / P. Gilkey -- Lagrangian formalism on Grassmann manifolds / D.R. Grigore -- Sobolev spaces on manifolds / E. Hebey and F. Robert -- Harmonic maps / F. Helein and J.C. Wood -- Topology of differentiable mappings / K. Houston -- Group actions and Hilbert's fifth problem / S. Illman -- Exterior differential systems / N. Kamran -- Weil bundles as generalized jet spaces / I. Kolar -- Distributions, vector distributions, and immersions of manifolds in Euclidean spaces / J. Korbas -- Geometry of differential equations / B. Kruglikov and V. Lychagin -- Global variational theory in fibred spaces / D. Krupka -- Second order ordinary differential equations in jet bundles and the inverse problem of the calculus of variations / O. Krupkova and G.E. Prince -- Elements of noncommutative geometry / G. Landi -- De Rham cohomology / M.A. Malakhaltsev -- Topology of manifolds with corners / J. Margalef-Roig and E. Outerelo Dominguez -- Jet manifolds and natural bundles / D.J. Saunders -- Some aspects of differential theories / J. Szilasi and R.L. Lovas -- Variational sequences / R. Vitolo -- The Oka-Grauert-Gromov principle for holomorphic bundles / P-M. Wong.
520 $a This is a comprehensive exposition of topics covered by the American Mathematical Societys classification Global Analysis, dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics. This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics - Written by world-experts in the field - Up-to-date contents.
533 $a Electronic reproduction. $b Amsterdam : $c Elsevier Science & Technology, $d 2008. $n Mode of access: World Wide Web. $n System requirements: Web browser. $n Title from title screen (viewed on May 14, 2008). $n Access may be restricted to users at subscribing institutions.
650 0 $a Global analysis (Mathematics) $3 199030
650 0 $a Mathematical physics. $3 190854
655 7 $a Electronic books. $2 local. $3 214472
700 1 $a Krupka, D. $3 454711
700 1 $a Saunders, D. J. $3 454712
710 2 $a ScienceDirect (Online service) $3 307425
776 1 $c Original $z 9780444528339 $z 0444528334 $w (OCoLC)190776638
856 4 0 $3 ScienceDirect $u http://www.sciencedirect.com/science/book/9780444528339 $z An electronic book accessible through the World Wide Web; click for information
994 $a C0 $b TEF