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Volumn 21, Issue 1, 1999, Pages 300-312

The change-of-variables formula using matrix volume

Author keywords

Change of variables in integration; Determinants; Fourier transform; Generalized pythagorean theorem; Jacobians; Matrix volume; Radon transform; Surface integrals

Indexed keywords


EID: 0033233450     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479895296896     Document Type: Article
Times cited : (51)

References (14)
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  • 2
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    • Springer-Verlag, New York, (translated by S. Levy)
    • M. BERGER AND B. GOSTIAUX, Differential Geometry: Manifolds, Curves and Surfaces, Grad. Texts in Math. 115, Springer-Verlag, New York, 1988 (translated by S. Levy).
    • (1988) Grad. Texts in Math. , vol.115
    • Berger, M.1    Gostiaux, B.2
  • 3
    • 0004056382 scopus 로고
    • Interscience Publishers, New York, (translated by E. J. McShane)
    • R. COURANT, Differential and Integral Calculus, Interscience Publishers, New York, 1936 (translated by E. J. McShane).
    • (1936) Differential and Integral Calculus
    • Courant, R.1
  • 5
    • 0001955111 scopus 로고    scopus 로고
    • Soft Warehouse, Honolulu, HI
    • Derive for Windows, Soft Warehouse, Honolulu, HI, 1996.
    • (1996) Derive for Windows
  • 8
    • 84943467461 scopus 로고
    • De determinantibus functionalibus
    • C. G. J. JACOBI, De Determinantibus Functionalibus, Crelle Journal für die reine und angewandte Mathematik, 22 (1841), pp. 319-359. Reprinted in C. G. J. Jacobi's Gesammelte Werke, Vol. 3, K. Weierstrass, ed., Berlin, 1884, pp. 393-438.
    • (1841) Crelle Journal für Die Reine und Angewandte Mathematik , vol.22 , pp. 319-359
    • Jacobi, C.G.J.1
  • 9
    • 84943467461 scopus 로고
    • K. Weierstrass, ed., Berlin
    • C. G. J. JACOBI, De Determinantibus Functionalibus, Crelle Journal für die reine und angewandte Mathematik, 22 (1841), pp. 319-359. Reprinted in C. G. J. Jacobi's Gesammelte Werke, Vol. 3, K. Weierstrass, ed., Berlin, 1884, pp. 393-438.
    • (1884) C. G. J. Jacobi's Gesammelte Werke , vol.3 , pp. 393-438
  • 10
    • 0003406424 scopus 로고
    • A course in the geometry of n dimensions
    • Hafner, Riverside, NJ
    • M. G. KENDALL, A Course in the Geometry of n Dimensions, Griffin's Statistical Monographs 8, Hafner, Riverside, NJ, 1961.
    • (1961) Griffin's Statistical Monographs , vol.8
    • Kendall, M.G.1
  • 12
    • 0003360039 scopus 로고
    • Spherical harmonics
    • Springer-Verlag, New York
    • C. MÜLLER, Spherical Harmonics, Lecture Notes in Math. 17, Springer-Verlag, New York, 1966.
    • (1966) Lecture Notes in Math. , vol.17
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.