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Mathematical analysis: foundations and advanced techniques for functions of several variables

editors, Mariano Giaquinta, Giuseppe Modica (Springer, 2012)

 Abstrak

This book builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory. The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differential forms, particularly k-forms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics. The authors conclude with the study of measure and integration theory, Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis.

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 Metadata

No. Panggil : e20418985
Entri tambahan-Nama orang :
Subjek :
Penerbitan : New York: Springer, 2012
Sumber Pengatalogan: LibUI eng rda
Tipe Konten: text
Tipe Media: computer
Tipe Pembawa: online resource
Deskripsi Fisik:
Tautan: http://link.springer.com/book/10.1007%2F978-0-8176-8310-8
Lembaga Pemilik:
Lokasi:
  • Ketersediaan
  • Ulasan
No. Panggil No. Barkod Ketersediaan
e20418985 20-22-83263577 TERSEDIA
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