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Differential and Integral Calculus Vol. 1 / Richard Courant
| Differential and Integral Calculus Vol. 1 / Richard Courant |
| Autore | Courant Richard |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2011 |
| Descrizione fisica | 1 recurso en línea (696 p.) |
| Altri autori (Persone) | CourantR |
| Collana | Wiley Classics Library |
| Soggetto topico |
Cálculo
Cálculo integral Matemáticas Números |
| Soggetto genere / forma | Libros electrónicos |
| ISBN |
1-283-29874-0
9786613298744 1-118-03324-8 1-118-03148-2 |
| Classificazione | B0220 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Differential and Integral Calculus; CONTENTS; Chapter I PRELIMINARY REMARKS ON ANALYTICAL GEOMETRY AND VECTOR ANALYSIS; 1. Rectangular Co-ordinates and Vectors; 2. The Area of a Triangle, the Volume of a Tetrahedron, the Vector Multiplication of Vectors; 3. Simple Theorems on Determinants of the Second and Third Order; 4. Affine Transformations and the Multiplication of Determinants; Chapter II FUNCTIONS OF SEVERAL VARIABLES AND THEIR DERIVATIVES; 1. The Concept of Function in the Case of Several Variables; 2. Continuity; 3. The Derivatives of a Function
4. The Total Diflerential of a Function and its Geometrical Meaning5. Functions of Functions (Compound Functions) and the Introduction of New Independent Variables; 6. The Mean Value Theorem and Taylor's Theorem for Functions of Several Variables; 7. The Application of Vector Methods; APPENDIX; 1. The Principle of the Point of Accumulation in Several Dimensions and its Applications; 2. The Concept of Limit for Functions of Several Variables; 3. Homogeneous Functions; Chapter III DEVELOPMENTS AND APPLICATIONS OF THE DIFFERENTIAL CALCULUS; 1. Implicit Functions 2. Curves and Surfaces in Implicit Form3. Systems of Functions, Transformations, and Mappings; 4. Applications; 5. Families of Curves, Families of Surfaces, and their Envelopes; 6. Maxima and Minima; APPENDIX; 1. Sufficient Conditions for Extreme Values; 2. Singular Points of Plane Curves; 3. Singular Points of Surfaces; 4. Connexion between Euler's and Lagrange's Representations of the Motion of a Fluid; 5. Tangential Representation of a Closed Curve; Chapter IV MULTIPLE INTEGRALS; 1. Ordinary Integrals as Functions of a Parameter 2. The Integral of a Continuous Function over a Region of the Plane or of Space3. Reduction of the Multiple Integral to Repeated Single Integrals; 4. Transformation of Multiple Integrals; 5. Improper Integrals; 6. Geometrical Applications; 7. Physical Applications; APPENDIX; 1. The Existence of the Multiple Integral; 2. General Formula for the Area (or Volume) of a Region bounded by Segments of Straight Lines or Plane Areas (Guldin's Formula). The Polar Planimeter; 3. Volumes and Areas in Space of any Number of Dimensions; 4. Improper Integrals as Functions of a Parameter 5. The Fourier Integral6. The Eulerian Integrals (Gamma Function); 7. Differentiation and Integration to Fractional Order. Abel's Integral Equation; 8. Note on the Definition of the Area of a Curved Surface; Chapter V INTEGRATION OVER REGIONS IN SEVERAL DIMENSIONS; 1. Line Integrals; 2. Connexion between Line Integrals and Double Integrals in the Plane. (The Integral Theorems of Gauss, Stokes, and Green); 3. Interpretation and Applications of the Integral Theorems for the Plane; 4. Surface Integrals; 5. Gauss's Theorem and Green's Theorem in Space; 6. Stokes's Theorem in Space 7. The Connexion between Differentiation and Integration for Several Variables |
| Record Nr. | UNISA-996197536903316 |
Courant Richard
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| Hoboken, : Wiley, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Differential and integral calculus . Volume II / / by R. Courant ; translated by E. J. McShane
| Differential and integral calculus . Volume II / / by R. Courant ; translated by E. J. McShane |
| Autore | Courant Richard <1888-1972.> |
| Edizione | [Wiley classics library ed.] |
| Pubbl/distr/stampa | [New York], : Interscience Publishers, 1988 |
| Descrizione fisica | 1 recurso en línea (696 p.) |
| Altri autori (Persone) | McShaneE. J <1904-> (Edward James) |
| Collana | Wiley classics library |
| Soggetto topico |
Calculus
Differential calculus Calculus, Integral |
| ISBN |
9786613298744
9781283298742 1283298740 9781118033241 1118033248 9781118031483 1118031482 |
| Classificazione | B0220 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Differential and Integral Calculus; CONTENTS; Chapter I PRELIMINARY REMARKS ON ANALYTICAL GEOMETRY AND VECTOR ANALYSIS; 1. Rectangular Co-ordinates and Vectors; 2. The Area of a Triangle, the Volume of a Tetrahedron, the Vector Multiplication of Vectors; 3. Simple Theorems on Determinants of the Second and Third Order; 4. Affine Transformations and the Multiplication of Determinants; Chapter II FUNCTIONS OF SEVERAL VARIABLES AND THEIR DERIVATIVES; 1. The Concept of Function in the Case of Several Variables; 2. Continuity; 3. The Derivatives of a Function
4. The Total Diflerential of a Function and its Geometrical Meaning5. Functions of Functions (Compound Functions) and the Introduction of New Independent Variables; 6. The Mean Value Theorem and Taylor's Theorem for Functions of Several Variables; 7. The Application of Vector Methods; APPENDIX; 1. The Principle of the Point of Accumulation in Several Dimensions and its Applications; 2. The Concept of Limit for Functions of Several Variables; 3. Homogeneous Functions; Chapter III DEVELOPMENTS AND APPLICATIONS OF THE DIFFERENTIAL CALCULUS; 1. Implicit Functions 2. Curves and Surfaces in Implicit Form3. Systems of Functions, Transformations, and Mappings; 4. Applications; 5. Families of Curves, Families of Surfaces, and their Envelopes; 6. Maxima and Minima; APPENDIX; 1. Sufficient Conditions for Extreme Values; 2. Singular Points of Plane Curves; 3. Singular Points of Surfaces; 4. Connexion between Euler's and Lagrange's Representations of the Motion of a Fluid; 5. Tangential Representation of a Closed Curve; Chapter IV MULTIPLE INTEGRALS; 1. Ordinary Integrals as Functions of a Parameter 2. The Integral of a Continuous Function over a Region of the Plane or of Space3. Reduction of the Multiple Integral to Repeated Single Integrals; 4. Transformation of Multiple Integrals; 5. Improper Integrals; 6. Geometrical Applications; 7. Physical Applications; APPENDIX; 1. The Existence of the Multiple Integral; 2. General Formula for the Area (or Volume) of a Region bounded by Segments of Straight Lines or Plane Areas (Guldin's Formula). The Polar Planimeter; 3. Volumes and Areas in Space of any Number of Dimensions; 4. Improper Integrals as Functions of a Parameter 5. The Fourier Integral6. The Eulerian Integrals (Gamma Function); 7. Differentiation and Integration to Fractional Order. Abel's Integral Equation; 8. Note on the Definition of the Area of a Curved Surface; Chapter V INTEGRATION OVER REGIONS IN SEVERAL DIMENSIONS; 1. Line Integrals; 2. Connexion between Line Integrals and Double Integrals in the Plane. (The Integral Theorems of Gauss, Stokes, and Green); 3. Interpretation and Applications of the Integral Theorems for the Plane; 4. Surface Integrals; 5. Gauss's Theorem and Green's Theorem in Space; 6. Stokes's Theorem in Space 7. The Connexion between Differentiation and Integration for Several Variables |
| Record Nr. | UNINA-9910141248003321 |
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Courant Richard <1888-1972.>
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| [New York], : Interscience Publishers, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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