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1. |
Record Nr. |
UNINA9910809748503321 |
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Autore |
Geveci Tunc |
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Titolo |
Advanced calculus : vector analysis / / Tunc Geveci |
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Pubbl/distr/stampa |
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New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016 |
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ISBN |
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Descrizione fisica |
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1 online resource (70 pages) : illustrations |
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Disciplina |
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Soggetti |
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Calculus |
Vector analysis |
Libros electronicos. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Co-published with Cognella Academic Publishing. |
Includes index. |
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Nota di contenuto |
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1. Understanding vector fields, divergence, and curl vector fields -- The divergence and curl of a vector field -- |
2. Understanding line integrals -- The integral of a scalar function with respect to arc length -- The line integral of a vector field in the plane -- The line integral as an integral with respect to arc length -- The differential form notation -- Curves in R3 -- Precise definitions and proofs -- |
3. Conservative vector fields -- The fundamental theorem for line integrals -- Conditions for a field to be conservative -- |
4. Parametrized surfaces -- Parametrized surfaces -- Normal vectors, tangent planes and orientation -- The orientation of a surface and an expression for the normal vector (optional) -- |
Index. |
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2. |
Record Nr. |
UNINA9910845500403321 |
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Autore |
Haghighi Aliakbar Montazer |
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Titolo |
Higher Mathematics for Science and Engineering / / by Aliakbar Montazer Haghighi, Abburi Anil Kumar, Dimitar P. Mishev |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 |
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ISBN |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (682 pages) |
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Altri autori (Persone) |
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KumarAbburi Anil |
MishevD. P (Dimiter P.) |
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Disciplina |
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Soggetti |
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Engineering mathematics |
Mathematics |
Mathematical physics |
Chemometrics |
Engineering Mathematics |
General Mathematics |
Mathematical Physics |
Mathematical Applications in Chemistry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Preliminaries -- Linear Algebra and Vector Space -- Calculus with functions of Multivariables -- Theory of Complex Variables -- Transforms -- Ordinary and Partial Differential Equations -- Difference Equations -- Optimization -- Probability -- Statistics -- Reliability -- Applications. |
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Sommario/riassunto |
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This textbook provides a comprehensive, thorough and up-to-date treatment of topics of mathematics that an engineer and scientist would need, at the basic levels that contents of engineering and sciences are built by. For this purpose, natural readers would be junior and senior undergraduate students, who normally have the content of this book under different names on their degree plans. Also, engineers and scientists will benefit from this book since the book is a comprehensive volume for such audiences. This book is written in a way that it balances both theory and practical applications of topics from linear algebra, matrix theory, calculus of multivariable, theory of |
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complex variables, several transforms, ordinary and partial differential equations, difference equations, optimization, probability, statistics, theory of reliability and finally, applications from variety of areas of sciences and engineering. |
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