This monograph is unique in its treatment of the application of methods of nonstandard analysis to the theory of curves in the calculus of variations. It will be of particular value to researchers in the calculus of variations and optimal control theory.
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First Sentence:
In 1939, L. C. Young introduced the idea of a generalized curve in order to make more problems in the calculus of variations solvable, and to streamline the solution-existence theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
coarse timelines, infinitesimal zigzag, hyperfinite set, generalized curves, continuous lifting, internal subset, lifting theorem, turbulence problem, nonstandard analysis, absolutely continuous functions, free boundary problems, nonlinear partial differential equations Key Phrases - Capitalized Phrases (CAPs): (learn more)
S-Fubini Theorem, Transfer Principle, Anderson's Criterion, Overspill Principle, Saturation Principle, Keisler's Lemma, Rodenhausen's Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In 1939, L. C. Young introduced the idea of a generalized curve in order to make more problems in the calculus of variations solvable, and to streamline the solution-existence theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
coarse timelines, infinitesimal zigzag, hyperfinite set, generalized curves, continuous lifting, internal subset, lifting theorem, turbulence problem, nonstandard analysis, absolutely continuous functions, free boundary problems, nonlinear partial differential equations Key Phrases - Capitalized Phrases (CAPs): (learn more)
S-Fubini Theorem, Transfer Principle, Anderson's Criterion, Overspill Principle, Saturation Principle, Keisler's Lemma, Rodenhausen's Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 8
books:
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2
books
cite this book:
- Model Theory, Third Edition (Studies in Logic and the Foundations of Mathematics) by C.C. Chang in Back Matter (1), and Back Matter (2)
- Calculus of Variations with Applications (Mathematics Series) by George M. Ewing in Back Matter
- Elementary Calculus: An Infinitesimal Approach by H. Jerome Keisler in Back Matter
- Calculus of Variations (Dover Books on Mathematics) by I. M. Gelfand in Back Matter
- Science Foundation by Brian Arnold in Front Matter
See all 8 books this book cites
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