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"The impulse which led to the writing of the present book has emerged from my many years of lecturing in special courses for selected students at the College of Civil Engineering of the Tech nical University in Prague, from experience gained as supervisor and consultant to graduate students-engineers in the field of applied mathematics, and - last but not least - from frequent consultations with technicians as well as with physicists who have asked for advice in overcoming difficulties encountered in solving theoretical problems. Even though a varied combination of problems of the most diverse nature was often in question, the problems discussed in this book stood forth as the most essential to this category of specialists. The many discussions I have had gave rise to considerations on writing a book which should fill the rather unfortunate gap in our literature. The book is designed, in the first place, for specialists in the fields of theoretical engineering and science. However, it was my aim that the book should be of interest to mathematicians as well. I have been well aware what an ungrateful task it may be to write a book of the present type, and what problems such an effort can bring: Technicians and physicists on the one side, and mathematicians on the other, are often of diametrically opposing opinions as far as books con ceived for both these categories are concerned."
"Výklady se opírají o aparát funkcionální analýzy a o teorii diferenciálních rovnic. Při výkladu funkcionální analýzy autor nejprve definuje skalární součin, normu a metriku na množině dostatečně hladkých funkcí, abstraktní Hilbertův prostor a pojednává o Lebesgueově integrálu. V první polovině knihy je teorie budována na větě o minimu kvadratického funkcionálu. V druhé polovině se uvažuje o nesymetrických operátorech, formulují se nehomogenní okrajové podmínky a vystupuje tu jasná představa o struktuře funkcionálnich prostorů a o problematice stabilních a nestabilních okrajových podmínek."
"Hilbert space; Variational methods; Application of variational methods to the solution of boundary value problems in ordinary and partial differential equations; Theory of boundary value problems in differential equations based on the concept of a weak solution and on the lax-milgram theorem; The eigenvalue problem; Some special methods. Regularity of the weak solution."

genre

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"Handbooks, manuals, etc"
"Příručky"
"Electronic books"
"Variationsanalysis"

name

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"Variační metody v inženýrských problémech a v problémech matematické fyziky"
"Variational methods in mathematics science and engineering"
"Variationsmethoden in Mathematik, Physik und Technik"
"Variační metody v inzenýrských problémech a v problémech matematické fyziky"
"Variational methods in mathematics, science, and engineering"@en
"Variational methods in mathematics, science, and engineering"
"Variational methods in mathmematics, science and engineering"
"Variational Methods in Mathematics, Science and Engineering"
"Variational methods in mathematics"@en
"Variational methods in mathematics, science, and engineering [engl.]"
"Variational methods in mathematics, science and engineering"@it
"Variational methods in mathematics, science and engineering"
"Variational methods in mathematics, science and engineering"@en
"Variační metody v inženýrských problémech a v problémech matematické fyziky : Určeno [také] posl. vys. škol"

workExample

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