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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
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| Gateway East, Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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More (Almost) Impossible Integrals, Sums, and Series : A New Collection of Fiendish Problems and Surprising Solutions / / by Cornel Ioan Vălean
| More (Almost) Impossible Integrals, Sums, and Series : A New Collection of Fiendish Problems and Surprising Solutions / / by Cornel Ioan Vălean |
| Autore | Vălean Cornel Ioan |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (847 pages) |
| Disciplina | 515.076 |
| Collana | Problem Books in Mathematics |
| Soggetto topico |
Sequences (Mathematics)
Functions, Special Number theory Functions of real variables Mathematical physics Engineering mathematics Sequences, Series, Summability Special Functions Number Theory Real Functions Mathematical Methods in Physics Engineering Mathematics Càlcul integral Successions (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-21262-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Integrals -- Chapter 2. Hints -- Chapter 3. Solutions -- Chapter 4. Sums and Series -- Chapter 5. Hints -- Chapter 6. Solutions. |
| Record Nr. | UNINA-9910728395503321 |
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Vălean Cornel Ioan
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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