Zobrazeno 1 - 10
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pro vyhledávání: '"Adel N. Boules"'
Autor:
Adel N. Boules
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 13, Iss 4, Pp 645-650 (1990)
In this paper a proof of the existence of the solution of Burgers' equation for n≤4 is presented. The technique used is shown to be valid for equations with more general types of nonlinearities than is present in Burgers' equation.
Externí odkaz:
https://doaj.org/article/5f8f3c0244b240deafe3e9dd6ffa03ac
Autor:
Adel N. Boules
Publikováno v:
Fundamentals of Mathematical Analysis
The chapter is an extensive account of the metric topology and is a prerequisite for all the subsequent chapters. The leading sections develop the basic metric properties such as closure and interior, continuity and equivalent metrics, separation pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e75a6a09755f2d014183accc2b4a0629
https://doi.org/10.1093/oso/9780198868781.003.0004
https://doi.org/10.1093/oso/9780198868781.003.0004
Autor:
Adel N. Boules
Fundamentals of Mathematical Analysis is a beginning graduate textbook on real and functional analysis, with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a conci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3449c030a2c43eddc3617864efa0996e
https://doi.org/10.1093/oso/9780198868781.001.0001
https://doi.org/10.1093/oso/9780198868781.001.0001
Autor:
Adel N. Boules
The Lebesgue measure on ?n (presented in section 8.4) is a pivotal component of this chapter. The approach in the chapter is to extend the positive linear functional provided by the Riemann integral on the space of continuous, compactly supported fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0294078c49a195d55fc1507537bd1442
https://doi.org/10.1093/oso/9780198868781.003.0008
https://doi.org/10.1093/oso/9780198868781.003.0008
Autor:
Adel N. Boules
In addition to giving a very brief reminder of set notation and basic set operations, this chapter provides a brief refresher on basic mathematical concepts. The natural, rational and real number systems are taken for granted. However, it does develo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::143066dbd64db3258692b557f32279cd
https://doi.org/10.1093/oso/9780198868781.003.0001
https://doi.org/10.1093/oso/9780198868781.003.0001
Autor:
Adel N. Boules
This chapter is a good introduction to Hilbert spaces and the elements of operator theory. The two leading sections contains staple topics such as the projection theorem, projection operators, the Riesz representation theorem, Bessel’s inequality,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08bc022cde0ff438098182164aebd533
https://doi.org/10.1093/oso/9780198868781.003.0007
https://doi.org/10.1093/oso/9780198868781.003.0007
Autor:
Adel N. Boules
The first four sections of this chapter form its core and include classical topics such as bounded linear transformations, the open mapping theorem, the closed graph theorem, the uniform boundedness principle, and the Hahn-Banach theorem. The chapter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::912510f913f847f7411d34559d0b0daf
https://doi.org/10.1093/oso/9780198868781.003.0006
https://doi.org/10.1093/oso/9780198868781.003.0006
Autor:
Adel N. Boules
Publikováno v:
Fundamentals of Mathematical Analysis
The first eight sections of this chapter constitute its core and are generally parallel to the leading sections of chapter 4. Most of the sections are brief and emphasize the nonmetric aspects of topology. Among the topics treated are normality, regu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66675f9ad70a828b10d71174fb75e163
https://doi.org/10.1093/oso/9780198868781.003.0005
https://doi.org/10.1093/oso/9780198868781.003.0005