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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 | ||
| ||
Introduction to differential calculus [[electronic resource] ] : systematic studies with engineering applications for beginners / / Ulrich L. Rohde ... [et al.]
| Introduction to differential calculus [[electronic resource] ] : systematic studies with engineering applications for beginners / / Ulrich L. Rohde ... [et al.] |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2012 |
| Descrizione fisica | 1 online resource (779 p.) |
| Disciplina | 515/.33 |
| Altri autori (Persone) | RohdeUlrich L |
| Soggetto topico |
Differential calculus
Càlcul diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
1-283-40083-9
9786613400833 1-118-13014-6 1-118-13015-4 1-118-13012-X |
| Classificazione | MAT005000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
INTRODUCTION TO DIFFERENTIAL CALCULUS: Systematic Studies with Engineering Applications for Beginners; CONTENTS; Foreword; Preface; Biographies; Introduction; Acknowledgments; 1 From Arithmetic to Algebra (What must you know to learn Calculus?); 1.1 Introduction; 1.2 The Set of Whole Numbers; 1.3 The Set of Integers; 1.4 The Set of Rational Numbers; 1.5 The Set of Irrational Numbers; 1.6 The Set of Real Numbers; 1.7 Even and Odd Numbers; 1.8 Factors; 1.9 Prime and Composite Numbers; 1.10 Coprime Numbers; 1.11 Highest Common Factor (H.C.F.); 1.12 Least Common Multiple (L.C.M.)
1.13 The Language of Algebra1.14 Algebra as a Language for Thinking; 1.15 Induction; 1.16 An Important Result: The Number of Primes is Infinite; 1.17 Algebra as the Shorthand of Mathematics; 1.18 Notations in Algebra; 1.19 Expressions and Identities in Algebra; 1.20 Operations Involving Negative Numbers; 1.21 Division by Zero; 2 The Concept of a Function (What must you know to learn Calculus?); 2.1 Introduction; 2.2 Equality of Ordered Pairs; 2.3 Relations and Functions; 2.4 Definition; 2.5 Domain, Codomain, Image, and Range of a Function; 2.6 Distinction Between "f " and "f(x)" 3 Discovery of Real Numbers: Through Traditional Algebra (What must you know to learn Calculus?)3.1 Introduction; 3.2 Prime and Composite Numbers; 3.3 The Set of Rational Numbers; 3.3 The Set of Rational Numbers; 3.4 The Set of Irrational Numbers; 3.5 The Set of Real Numbers; 3.6 Definition of a Real Number; 3.7 Geometrical Picture of Real Numbers; 3.8 Algebraic Properties of Real Numbers; 3.9 Inequalities (Order Properties in Real Numbers); 3.10 Intervals; 3.11 Properties of Absolute Values; 3.12 Neighborhood of a Point; 3.13 Property of Denseness; 3.14 Completeness Property of Real Numbers 3.15 (Modified) Definition II (l.u.b.)3.16 (Modified) Definition II (g.l.b.); 4 From Geometry to Coordinate Geometry (What must you know to learn Calculus?); 4.1 Introduction; 4.2 Coordinate Geometry (or Analytic Geometry); 4.3 The Distance Formula; 4.4 Section Formula; 4.5 The Angle of Inclination of a Line; 4.6 Solution(s) of an Equation and its Graph; 4.7 Equations of a Line; 4.8 Parallel Lines; 4.9 Relation Between the Slopes of (Nonvertical) Lines that are Perpendicular to One Another; 4.10 Angle Between Two Lines; 4.11 Polar Coordinate System 5 Trigonometry and Trigonometric Functions (What must you know to learn Calculus?) |
| Record Nr. | UNINA-9910139737003321 |
| Hoboken, N.J., : Wiley, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to differential calculus : systematic studies with engineering applications for beginners / / Ulrich L. Rohde ... [et al.]
| Introduction to differential calculus : systematic studies with engineering applications for beginners / / Ulrich L. Rohde ... [et al.] |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2012 |
| Descrizione fisica | 1 online resource (779 p.) |
| Disciplina | 515/.33 |
| Altri autori (Persone) | RohdeUlrich L |
| Soggetto topico |
Differential calculus
Càlcul diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
1-283-40083-9
9786613400833 1-118-13014-6 1-118-13015-4 1-118-13012-X |
| Classificazione | MAT005000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
INTRODUCTION TO DIFFERENTIAL CALCULUS: Systematic Studies with Engineering Applications for Beginners; CONTENTS; Foreword; Preface; Biographies; Introduction; Acknowledgments; 1 From Arithmetic to Algebra (What must you know to learn Calculus?); 1.1 Introduction; 1.2 The Set of Whole Numbers; 1.3 The Set of Integers; 1.4 The Set of Rational Numbers; 1.5 The Set of Irrational Numbers; 1.6 The Set of Real Numbers; 1.7 Even and Odd Numbers; 1.8 Factors; 1.9 Prime and Composite Numbers; 1.10 Coprime Numbers; 1.11 Highest Common Factor (H.C.F.); 1.12 Least Common Multiple (L.C.M.)
1.13 The Language of Algebra1.14 Algebra as a Language for Thinking; 1.15 Induction; 1.16 An Important Result: The Number of Primes is Infinite; 1.17 Algebra as the Shorthand of Mathematics; 1.18 Notations in Algebra; 1.19 Expressions and Identities in Algebra; 1.20 Operations Involving Negative Numbers; 1.21 Division by Zero; 2 The Concept of a Function (What must you know to learn Calculus?); 2.1 Introduction; 2.2 Equality of Ordered Pairs; 2.3 Relations and Functions; 2.4 Definition; 2.5 Domain, Codomain, Image, and Range of a Function; 2.6 Distinction Between "f " and "f(x)" 3 Discovery of Real Numbers: Through Traditional Algebra (What must you know to learn Calculus?)3.1 Introduction; 3.2 Prime and Composite Numbers; 3.3 The Set of Rational Numbers; 3.3 The Set of Rational Numbers; 3.4 The Set of Irrational Numbers; 3.5 The Set of Real Numbers; 3.6 Definition of a Real Number; 3.7 Geometrical Picture of Real Numbers; 3.8 Algebraic Properties of Real Numbers; 3.9 Inequalities (Order Properties in Real Numbers); 3.10 Intervals; 3.11 Properties of Absolute Values; 3.12 Neighborhood of a Point; 3.13 Property of Denseness; 3.14 Completeness Property of Real Numbers 3.15 (Modified) Definition II (l.u.b.)3.16 (Modified) Definition II (g.l.b.); 4 From Geometry to Coordinate Geometry (What must you know to learn Calculus?); 4.1 Introduction; 4.2 Coordinate Geometry (or Analytic Geometry); 4.3 The Distance Formula; 4.4 Section Formula; 4.5 The Angle of Inclination of a Line; 4.6 Solution(s) of an Equation and its Graph; 4.7 Equations of a Line; 4.8 Parallel Lines; 4.9 Relation Between the Slopes of (Nonvertical) Lines that are Perpendicular to One Another; 4.10 Angle Between Two Lines; 4.11 Polar Coordinate System 5 Trigonometry and Trigonometric Functions (What must you know to learn Calculus?) |
| Record Nr. | UNINA-9910820116203321 |
| Hoboken, N.J., : Wiley, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smooth functions and maps / / Boris M. Makarov, Anatolii N. Podkorytov
| Smooth functions and maps / / Boris M. Makarov, Anatolii N. Podkorytov |
| Autore | Makarov B. M. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (296 pages) |
| Disciplina | 511.4 |
| Collana | Moscow lectures |
| Soggetto topico |
Smoothness of functions
Funcions Càlcul diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-79438-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910495214403321 |
|
Makarov B. M.
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smooth functions and maps / / Boris M. Makarov, Anatolii N. Podkorytov
| Smooth functions and maps / / Boris M. Makarov, Anatolii N. Podkorytov |
| Autore | Makarov B. M. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (296 pages) |
| Disciplina | 511.4 |
| Collana | Moscow lectures |
| Soggetto topico |
Smoothness of functions
Funcions Càlcul diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-79438-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466389603316 |
|
Makarov B. M.
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
