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Autore: | Păltineanu Gavril |
Titolo: | Differential calculus for engineers / / Gavriil Paltineanu, Ileana Bucur, Mariana Zamfir |
Pubblicazione: | Singapore : , : Springer, , [2022] |
©2022 | |
Descrizione fisica: | 1 online resource (191 pages) |
Disciplina: | 620.00151 |
Soggetto topico: | Differential calculus |
Matemàtica per a enginyers | |
Càlcul diferencial | |
Soggetto genere / forma: | Llibres electrònics |
Persona (resp. second.): | BucurI (Iliana) |
ZamfirMariana | |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | Intro -- Preface -- Contents -- 1 Sequences of Real Numbers -- 1.1 Real Numbers -- 1.2 Real Number Sequences -- 1.3 Extended Real Number Line -- 2 Real Number Series -- 2.1 Convergent and Divergent Series -- 2.2 Series with Positive Terms -- 2.3 Series with Arbitrary Terms -- 2.4 Approximating the Sum of a Leibniz's Series -- 2.5 Absolutely and Conditionally Convergent Series -- 2.6 Operations on Convergent Series -- 2.7 Sequences and Series of Complex Numbers -- 3 Sequences of Functions (Functional Sequences) -- 3.1 Simple and Uniformly Convergence -- 3.2 The Properties of the Uniformly Convergent Functional Sequences -- 4 Series of Functions (Functional Series) -- 4.1 Simple and Uniform Convergence -- 4.2 Properties of the Uniformly Convergent Series of Functions -- 4.3 Power Series -- 4.4 Taylor's Formula -- 4.5 Taylor's and Maclaurin's Series -- 4.6 Elementary Functions. Euler's Formulas. Hyperbolic Trigonometric Functions -- 5 Functions of Several Variables -- 5.1 Vector Space mathbbRn. Basic Notions and Notations -- 5.2 Convergent Sequences of Vectors in mathbbRn -- 5.3 Topology Elements on mathbbRn -- 5.4 Limits of Functions of Several Variables -- 5.5 Continuous Functions of Several Variables -- 5.6 Properties of Continuous Functions Defined on Compact or Connected Sets -- 5.7 Linear Continuous Maps from mathbbRn to mathbbRm -- 6 Differential Calculus of Functions of Several Variables -- 6.1 Partial Derivatives. Differentiability of a Function of Several Variables -- 6.2 Differentiability of Vector Functions. Jacobian Matrix -- 6.3 Differentiability of Composite Functions -- 6.4 The First Order Differenential and Its Invariance Form -- 6.5 The Directional Derivative. The Differential Operators: Gradient, Divergence, Curl and Laplacian -- 6.6 Partial Derivatives and Differentials of Higher Orders. |
6.7 Second-Order Partial Derivatives of Functions Composed of Two Variables -- 6.8 Change of Variables -- 6.9 Taylor's Formula for Functions of Several Variables -- 6.10 Local Extrema of a Function of Several Variables -- 6.11 Local Inversion Theorem -- 6.12 Regular Transformations -- 6.13 Implicit Functions -- 6.14 Local Conditional Extremum -- 6.15 Dependent and Independent Functions -- References -- Index. | |
Titolo autorizzato: | Differential calculus for engineers |
ISBN: | 981-19-2553-4 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910585783203321 |
Lo trovi qui: | Univ. Federico II |
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