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Titlebook: Variational Methods in Mathematics, Science and Engineering; Karel Rektorys Book 1977 Karel Rektorys 1977 Mathematica.applied mathematics.

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發(fā)表于 2025-3-21 18:55:45 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Variational Methods in Mathematics, Science and Engineering
編輯Karel Rektorys
視頻videohttp://file.papertrans.cn/981/980596/980596.mp4
圖書封面Titlebook: Variational Methods in Mathematics, Science and Engineering;  Karel Rektorys Book 1977 Karel Rektorys 1977 Mathematica.applied mathematics.
描述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
出版日期Book 1977
關(guān)鍵詞Mathematica; applied mathematics; design; differential equation; elasticity; finite element method; operat
版次1
doihttps://doi.org/10.1007/978-94-011-6450-4
isbn_softcover978-94-011-6452-8
isbn_ebook978-94-011-6450-4
copyrightKarel Rektorys 1977
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沙發(fā)
發(fā)表于 2025-3-21 20:54:36 | 只看該作者
Existence of the Minimum of the Functional , in the Space ,. Generalized Solutionsd of Chap. 9 we have noted that Theorem 9.2 has a conditional character since it assumes either the existence of the solution . ∈ . of the given equation or the existence of the element . ∈ . minimizing the functional . on ., while the existence of such an element . is a priori guaranteed in neither the first nor the second case.
板凳
發(fā)表于 2025-3-22 01:06:16 | 只看該作者
Introductionand — consequently — also of phenomena arising in fields related to physics as well as in fields which have broken away from physics as independent scientific disciplines (as, for instance, the theory of elasticity, etc.).
地板
發(fā)表于 2025-3-22 05:50:03 | 只看該作者
5#
發(fā)表于 2025-3-22 12:25:53 | 只看該作者
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發(fā)表于 2025-3-22 16:08:58 | 只看該作者
Theorem on the Minimum of a Quadratic Functional and its Consequenceson (9.3) on .. We have shown (cf. Theorem 8.6, or Remark 8.5 and Exs. 8.8 and 8.10) that . is dense in the Hilbert space .(.) and that the operator -Δ is symmetric and positive on .. We have mentioned that it will be shown later that this operator is even positive definite.
7#
發(fā)表于 2025-3-22 19:06:23 | 只看該作者
s 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 wh
8#
發(fā)表于 2025-3-22 23:02:48 | 只看該作者
Prefaceollege of Civil Engineering of the Technical 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
9#
發(fā)表于 2025-3-23 03:49:37 | 只看該作者
Introductiont one of the youngest. The reason lies in the fact that through differential equations the majority of phenomena studied in physics may be described, and — consequently — also of phenomena arising in fields related to physics as well as in fields which have broken away from physics as independent sc
10#
發(fā)表于 2025-3-23 07:21:28 | 只看該作者
Inner Product of Functions. Norm, Metricn connected set in the Euclidean space .. Only bounded domains with the so-called . will be considered in this book. The definition of this concept is rather complicated and would cause the reader unnecessary difficulties at this opening stage. Therefore, it is left over to Chap. 28. Here we note on
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