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Differential calculus for engineers / / Gavriil Paltineanu, Ileana Bucur, Mariana Zamfir
| Differential calculus for engineers / / Gavriil Paltineanu, Ileana Bucur, Mariana Zamfir |
| Autore | Păltineanu Gavril |
| Pubbl/distr/stampa | Singapore : , : Springer, , [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 |
| ISBN | 981-19-2553-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNISA-996483154303316 |
Păltineanu Gavril
|
||
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Differential calculus for engineers / / Gavriil Paltineanu, Ileana Bucur, Mariana Zamfir
| Differential calculus for engineers / / Gavriil Paltineanu, Ileana Bucur, Mariana Zamfir |
| Autore | Păltineanu Gavril |
| Pubbl/distr/stampa | Singapore : , : Springer, , [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 |
| ISBN | 981-19-2553-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910585783203321 |
|
Păltineanu Gavril
|
||
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Integral calculus for engineers / / Gavril Păltineanu, Ileana Bucur, Mariana Zamfir
| Integral calculus for engineers / / Gavril Păltineanu, Ileana Bucur, Mariana Zamfir |
| Autore | Păltineanu Gavril |
| Pubbl/distr/stampa | Gateway East, Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (263 pages) |
| Disciplina | 515.43 |
| Soggetto topico |
Calculus, Integral
Engineering mathematics Càlcul integral Matemàtica per a enginyers |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-19-4793-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Indefinite Integrals -- 1.1 The Notion of Primitive Function (Antiderivative) of a Function -- 1.2 Basic Properties of Indefinite Integrals -- 1.3 Primitives of Rational Functions -- 1.4 Primitives of Trigonometric Functions -- 1.5 Primitives of Irrational Functions. Binomial Integrals -- 2 Definite Integrals -- 2.1 Area of a Curvilinear Trapezoid -- 2.2 Darboux Sums. Definition of Definite Integral -- 2.3 Integrability of Continuous and Monotonic Functions -- 2.4 Riemann Sums. Riemann Criterion for Integrability -- 2.5 Lebesgue Criterion for Integrability -- 2.6 Properties of Integrable Functions -- 2.7 Area of a Plane Figure -- 2.8 Approximating Definite Integral -- 3 Improper Integrals -- 3.1 Convergence and Divergence of Improper Integrals -- 3.2 Convergence Criteria for Improper Integrals -- 4 Integrals Depending on Parameter -- 4.1 Proper Integrals Depending on a Parameter -- 4.2 Improper Integrals Depending on a Parameter -- 4.3 Euler Integrals -- 5 Line Integrals -- 5.1 Parameterized Paths. Definition of a Curve -- 5.2 Rectifiable Paths and Curves -- 5.3 Natural Parameterization of a Curve -- 5.4 Line Integrals of the First Kind -- 5.5 Line Integrals of the Second Kind -- 5.6 Independence on the Path of Line Integral of the Second Kind -- 6 Double and Triple Integrals -- 6.1 Double Integral. Definition and Properties -- 6.2 Basic Properties of the Double Integral -- 6.3 Reducing a Double Integral to an Iterated Single Integral -- 6.4 Change of Variables in Double Integral -- 6.5 Applications of the Double Integral in Geometry and Mechanics -- 6.5.1 Mass of a Lamina -- 6.5.2 Coordinates of the Center of Mass of a Lamina -- 6.5.3 Moments of Inertia of a Lamina -- 6.6 Riemann-Green Formula -- 6.7 Improper Double Integrals -- 6.8 Volume of a Space Figure.
6.9 Triple Integrals. Definition and Basic Properties -- 6.10 Computing Triple Integral. Change of Variables in Triple Integral -- 6.11 Applications of the Triple Integral in Geometry and Mechanics -- 6.11.1 Volume of a Space Domain -- 6.11.2 Mass of a Solid -- 6.11.3 Coordinates of the Center of Mass of a Solid -- 6.11.4 Moment of Inertia of a Solid -- 7 Surface Integrals -- 7.1 Parameterized Surface Canvases. Definition of a Surface -- 7.2 The Area of a Smooth Surface -- 7.3 Surface Integral of the First Kind -- 7.4 Surface Integral of the Second Kind -- 7.5 Integral Formulas -- References -- Index. |
| Record Nr. | UNISA-996495171103316 |
|
Păltineanu Gavril
|
||
| Gateway East, Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Integral Calculus for Engineers / / by Gavriil Paltineanu, Ileana Bucur, Mariana Zamfir
| Integral Calculus for Engineers / / by Gavriil Paltineanu, Ileana Bucur, Mariana Zamfir |
| Autore | Păltineanu Gavril |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (263 pages) |
| Disciplina | 515.43 |
| Collana | Mathematics and Statistics Series |
| Soggetto topico |
Engineering mathematics
Engineering Mathematics |
| ISBN | 981-19-4793-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1 - Indefinite Integral -- Chapter 2 - Definite Integral -- Chapter 3 - Improper Integrals -- Chapter 4 - Integrals Dependent on Parameters -- Chapter 5 - Line Integrals -- Chapter 6 - Double and Triple Integrals -- Chapter 7 - Surface Integrals. |
| Record Nr. | UNINA-9910616359203321 |
|
Păltineanu Gavril
|
||
| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||