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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  
Hoboken, : Wiley, 2011
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Mathematica by example / / Martha L. Abell, James P. Braselton
Mathematica by example / / Martha L. Abell, James P. Braselton
Autore Abell Martha L. <1962->
Edizione [5th ed.]
Pubbl/distr/stampa London, England : , : Academic Press, , [2017]
Descrizione fisica 1 online resource (576 pages) : illustrations
Disciplina 510.28553
Soggetto topico Mathematics - Data processing
Matemáticas
ISBN 0-12-812482-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Getting started -- 2. Basic operations on numbers, expressions, and functions -- 3. Calculus -- 4. Introduction to lists and tables -- 5. Matrices and vectors: topics from linear algebra and vector calculus -- 6. Applications related to ordinary and partial differential equations.
Record Nr. UNINA-9910583453503321
Abell Martha L. <1962->  
London, England : , : Academic Press, , [2017]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui