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[null,"1.","Record Nr.",null,"UNINA9910585783203321"]
[null,null,"Autore",null,"Păltineanu Gavril"]
[null,null,"Titolo",null,"Differential calculus for engineers / / Gavriil Paltineanu, Ileana Bucur, Mariana Zamfir"]
[null,null,"Pubbl/distr/stampa",null,"Singapore : , : Springer, , [2022]"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"981-19-2553-4"]
[null,null,"Descrizione fisica",null,"1 online resource (191 pages)"]
[null,null,"Disciplina",null,"620.00151"]
[null,null,"Soggetti",null,"Differential calculus"]
[{"$nulls":4},"Matemàtica per a enginyers"]
[{"$nulls":4},"Càlcul diferencial"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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. "]
[{"$nulls":4},"Differentiability of a Function of Several Variables -- 6.2 Differentiability of Vector Functions. Jacobian Matrix -- 6.3 Differentiability of Composite Functions -- 6.4 The First Order Differenential and Its Invariance Form -- 6.5 The Directional Derivative. The Differential Operators: Gradient, Divergence, Curl and Laplacian -- 6.6 Partial Derivatives and Differentials of Higher Orders."]
[{"$nulls":4},"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."]