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Advanced calculus : an introduction to vectors / / Tunc Geveci
Advanced calculus : an introduction to vectors / / Tunc Geveci
Autore Geveci Tunc
Pubbl/distr/stampa New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica 1 online resource (45 pages) : illustrations
Disciplina 515
Soggetto topico Calculus
Vector analysis
Soggetto genere / forma Libros electronicos.
ISBN 1-60650-877-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Cartesian coordinates in three dimensions -- Surfaces --
2. Vectors in different dimensions -- Two dimensional vectors -- Standard basis vectors -- Three dimensional vectors --
3. An introduction to the dot product -- The definition of the dot product -- Projections --
4. Understanding the cross product -- The definition of the cross product -- The scalar triple product -- Planes --
Index.
Record Nr. UNINA-9910467289703321
Geveci Tunc  
New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced calculus : using differential functions of several variables, volume II / / Tunc Geveci
Advanced calculus : using differential functions of several variables, volume II / / Tunc Geveci
Autore Geveci Tunc
Pubbl/distr/stampa New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica 1 online resource (68 pages) : illustrations
Disciplina 515
Soggetto topico Calculus
Differential calculus
Soggetto genere / forma Libros electronicos.
ISBN 1-60650-879-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. The chain rule for functions of several variables -- Implicit differentiation --
2. Directional derivatives -- The chain rule and the gradient -- Functions of three or more variables --
3. Understanding local maxima and minima -- The definitions and preliminary examples -- The second derivative test for local extrema -- A plausibility argument for the second derivative test --
4. Absolute extrema -- Lagrange multipliers -- Maximizing output under budgetary constraints --
Index.
Record Nr. UNINA-9910467288603321
Geveci Tunc  
New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced calculus : vector analysis, volume II / / Tunc Geveci
Advanced calculus : vector analysis, volume II / / Tunc Geveci
Autore Geveci Tunc
Pubbl/distr/stampa New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica 1 online resource (63 pages) : illustrations
Disciplina 515
Soggetto topico Calculus
Vector analysis
Soggetto genere / forma Libros electronicos.
ISBN 1-60650-882-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Using surface integrals -- Surface area -- Surface integrals of scalar functions -- Flux integrals -- Alternative notations and some proofs (optional) --
2. Understanding and using Green's theorem -- Green's theorem in simply connected regions -- Green's theorem in multiply connected regions -- Interpretations of Green's theorem -- Irrotational and incompressible flow -- Sufficient conditions for the existence of a potential function --
3. Understanding and using Stoke's theorem -- The meaning and plausibility of Stokes' theorem -- A plausibility argument for Stokes' theorem (optional) --
4. Understanding and using Gauss' theorem -- The meaning and plausibility of Gauss' theorem -- A plausibility argument for Gauss' theorem (optional) --
Index.
Record Nr. UNINA-9910467286903321
Geveci Tunc  
New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced calculus : using multiple integrals / / Tunc Geveci
Advanced calculus : using multiple integrals / / Tunc Geveci
Autore Geveci Tunc
Pubbl/distr/stampa New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica 1 online resource (69 pages) : illustrations
Disciplina 515
Soggetto topico Calculus
Multiple integrals
Soggetto genere / forma Libros electronicos.
ISBN 1-60650-880-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Using double integrals over rectangles --
2. Using double integrals over non-rectangular regions --
3. Using double integrals in polar coordinates --
4. Physical applications of double integrals -- Density and mass -- Moments and center of mass -- Probability --
5. Understanding triple integrals --
6. Using triple integrals in three dimensional polar coordinate systems -- Cylindrical coordinates -- Triple integrals in cylindrical coordinates -- Spherical coordinates -- Triple integrals in spherical coordinates --
7. Understanding a change of variables in multiple integrals -- A plausibility argument for the theorem --
Index.
Record Nr. UNINA-9910467288103321
Geveci Tunc  
New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced calculus : vector analysis / / Tunc Geveci
Advanced calculus : vector analysis / / Tunc Geveci
Autore Geveci Tunc
Pubbl/distr/stampa New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica 1 online resource (70 pages) : illustrations
Disciplina 515
Soggetto topico Calculus
Vector analysis
Soggetto genere / forma Libros electronicos.
ISBN 1-60650-881-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Understanding vector fields, divergence, and curl vector fields -- The divergence and curl of a vector field --
2. Understanding line integrals -- The integral of a scalar function with respect to arc length -- The line integral of a vector field in the plane -- The line integral as an integral with respect to arc length -- The differential form notation -- Curves in R3 -- Precise definitions and proofs --
3. Conservative vector fields -- The fundamental theorem for line integrals -- Conditions for a field to be conservative --
4. Parametrized surfaces -- Parametrized surfaces -- Normal vectors, tangent planes and orientation -- The orientation of a surface and an expression for the normal vector (optional) --
Index.
Record Nr. UNINA-9910467287503321
Geveci Tunc  
New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced calculus : vector analysis, volume II / / Tunc Geveci
Advanced calculus : vector analysis, volume II / / Tunc Geveci
Autore Geveci Tunc
Pubbl/distr/stampa New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica 1 online resource (63 pages) : illustrations
Disciplina 515
Soggetto topico Calculus
Vector analysis
Soggetto genere / forma Libros electronicos.
ISBN 1-60650-882-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Using surface integrals -- Surface area -- Surface integrals of scalar functions -- Flux integrals -- Alternative notations and some proofs (optional) --
2. Understanding and using Green's theorem -- Green's theorem in simply connected regions -- Green's theorem in multiply connected regions -- Interpretations of Green's theorem -- Irrotational and incompressible flow -- Sufficient conditions for the existence of a potential function --
3. Understanding and using Stoke's theorem -- The meaning and plausibility of Stokes' theorem -- A plausibility argument for Stokes' theorem (optional) --
4. Understanding and using Gauss' theorem -- The meaning and plausibility of Gauss' theorem -- A plausibility argument for Gauss' theorem (optional) --
Index.
Record Nr. UNINA-9910794881603321
Geveci Tunc  
New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced calculus : an introduction to vectors / / Tunc Geveci
Advanced calculus : an introduction to vectors / / Tunc Geveci
Autore Geveci Tunc
Pubbl/distr/stampa New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica 1 online resource (45 pages) : illustrations
Disciplina 515
Soggetto topico Calculus
Vector analysis
Soggetto genere / forma Libros electronicos.
ISBN 1-60650-877-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Cartesian coordinates in three dimensions -- Surfaces --
2. Vectors in different dimensions -- Two dimensional vectors -- Standard basis vectors -- Three dimensional vectors --
3. An introduction to the dot product -- The definition of the dot product -- Projections --
4. Understanding the cross product -- The definition of the cross product -- The scalar triple product -- Planes --
Index.
Record Nr. UNINA-9910794881803321
Geveci Tunc  
New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced calculus : using differential functions of several variables / / Tunc Geveci
Advanced calculus : using differential functions of several variables / / Tunc Geveci
Autore Geveci Tunc
Pubbl/distr/stampa New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica 1 online resource (71 pages) : illustrations
Disciplina 515
Soggetto topico Calculus
Differential calculus
Soggetto genere / forma Libros electronicos.
ISBN 1-60650-878-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Parametrized functions -- Parametrized curves -- Tangent vectors -- Velocity --
2. Differential equations for acceleration and curvature -- Acceleration -- The moving frame -- Arc length -- Curvature -- Tangential and normal components of acceleration --
3. Real-valued functions -- Real-valued functions of two variables -- Real-valued functions of three or more variables --
4. An introduction to partial derivatives -- Limits and continuity -- The definition and evaluation of partial derivatives -- The geometric interpretation of partial derivatives -- Higher-order partial derivatives --
5. Linear approximations -- Local linear approximations -- The differential -- Functions of more than two variables --
Index.
Record Nr. UNINA-9910794882003321
Geveci Tunc  
New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced calculus : using multiple integrals / / Tunc Geveci
Advanced calculus : using multiple integrals / / Tunc Geveci
Autore Geveci Tunc
Pubbl/distr/stampa New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica 1 online resource (69 pages) : illustrations
Disciplina 515
Soggetto topico Calculus
Multiple integrals
Soggetto genere / forma Libros electronicos.
ISBN 1-60650-880-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Using double integrals over rectangles --
2. Using double integrals over non-rectangular regions --
3. Using double integrals in polar coordinates --
4. Physical applications of double integrals -- Density and mass -- Moments and center of mass -- Probability --
5. Understanding triple integrals --
6. Using triple integrals in three dimensional polar coordinate systems -- Cylindrical coordinates -- Triple integrals in cylindrical coordinates -- Spherical coordinates -- Triple integrals in spherical coordinates --
7. Understanding a change of variables in multiple integrals -- A plausibility argument for the theorem --
Index.
Record Nr. UNINA-9910794881403321
Geveci Tunc  
New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced calculus : vector analysis / / Tunc Geveci
Advanced calculus : vector analysis / / Tunc Geveci
Autore Geveci Tunc
Pubbl/distr/stampa New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica 1 online resource (70 pages) : illustrations
Disciplina 515
Soggetto topico Calculus
Vector analysis
Soggetto genere / forma Libros electronicos.
ISBN 1-60650-881-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Understanding vector fields, divergence, and curl vector fields -- The divergence and curl of a vector field --
2. Understanding line integrals -- The integral of a scalar function with respect to arc length -- The line integral of a vector field in the plane -- The line integral as an integral with respect to arc length -- The differential form notation -- Curves in R3 -- Precise definitions and proofs --
3. Conservative vector fields -- The fundamental theorem for line integrals -- Conditions for a field to be conservative --
4. Parametrized surfaces -- Parametrized surfaces -- Normal vectors, tangent planes and orientation -- The orientation of a surface and an expression for the normal vector (optional) --
Index.
Record Nr. UNINA-9910794881703321
Geveci Tunc  
New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui