Change of variables in multiple integrals

American Mathematical Monthly

Volumn 106, Issue 6, 1999, Pages 497-501

  Lax, Peter D ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033434415     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2589462     Document Type: Article

References (7)

1. L. Báez-Duarte, Brouwer's Fixed-Point Theorem and a Generalization of the Formula for Change of Variables in Multiple Integrals, J. Math. Anal. Appl. 177 (1993) 412-414.
2. N. Dunford and J. Schwartz, Linear Operators, Part I, Wiley-Interscience, New York, 1958.
3. J. Hadamard, Sur quelques applications de l'indice de Kronecker, pp. 437-477 in J. Tannery, Introduction à la théorie des fonctions d'une variable, vol. 2, Paris, 1910.
4. E. Heinz, An Elementary Analytic Theory of the Degree of Mapping n-Dimensional Space, J. Math. Mech. 8 (1959) 231-248.
5. Y. Kannai, An elementary proof of the no retraction theorem, Amer. Math. Monthly 88 (1981) 264-268.
6. H. Samelson, On the Brouwer fixed point theorem, Portugal. Math. 22 (1963) 189-191.
7. J. Schwartz, The formula for change in variables in a multiple integral, Amer. Math. Monthly 61 (1954) 81-85.