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Cover: 9780521775410 | Calculus | Concepts and Methods | Joan Davies | Taschenbuch | Englisch
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Calculus
Concepts and Methods
Taschenbuch von Joan Davies
Sprache: Englisch

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Beschreibung
This second edition of a text for a course on calculus of functions of several variables begins with basics of matrices and vectors and a chapter recalling the important points of the theory in one dimension. It then introduces partial derivatives via functions of two variables and then extends the discussion to more than two variables. This pattern is repeated throughout the book, with two variables being used as a springboard for the more general case. The book distinguishes itself from the competition with its introduction of elementary difference equations, including the use of the difference operator, as well as differential equations and complex numbers. It overcomes the difficulty of visualizing curves and surfaces from equations with the use of many computer graphics in full color, and it contains more than 250 exercises. With applications to economics and an emphasis on practical problem-solving in the sciences rather than the proof of formal theorems, this text should provide excellent motivation to students.
This second edition of a text for a course on calculus of functions of several variables begins with basics of matrices and vectors and a chapter recalling the important points of the theory in one dimension. It then introduces partial derivatives via functions of two variables and then extends the discussion to more than two variables. This pattern is repeated throughout the book, with two variables being used as a springboard for the more general case. The book distinguishes itself from the competition with its introduction of elementary difference equations, including the use of the difference operator, as well as differential equations and complex numbers. It overcomes the difficulty of visualizing curves and surfaces from equations with the use of many computer graphics in full color, and it contains more than 250 exercises. With applications to economics and an emphasis on practical problem-solving in the sciences rather than the proof of formal theorems, this text should provide excellent motivation to students.
Inhaltsverzeichnis
Preface; Preliminaries; 1. Matrices and vectors; 2. Functions of one variable; 3. Functions of several variables; 4. Stationary points; 5. Vector-valued functions; 6. Optimization of scalar-valued functions; 7. Inverse functions; 8. Implicit functions; 9. Differentials; 10. Sums and integrals; 11. Multiple integrals; 12. Differential and difference equations of order one; 13. Complex numbers; 14. Higher order differential and difference equations.
Details
Erscheinungsjahr: 2019
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 570
ISBN-13: 9780521775410
ISBN-10: 0521775418
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Davies, Joan
Hersteller: Cambridge University Press
Maße: 246 x 189 x 31 mm
Von/Mit: Joan Davies
Erscheinungsdatum: 22.03.2019
Gewicht: 1,088 kg
preigu-id: 108308287
Inhaltsverzeichnis
Preface; Preliminaries; 1. Matrices and vectors; 2. Functions of one variable; 3. Functions of several variables; 4. Stationary points; 5. Vector-valued functions; 6. Optimization of scalar-valued functions; 7. Inverse functions; 8. Implicit functions; 9. Differentials; 10. Sums and integrals; 11. Multiple integrals; 12. Differential and difference equations of order one; 13. Complex numbers; 14. Higher order differential and difference equations.
Details
Erscheinungsjahr: 2019
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 570
ISBN-13: 9780521775410
ISBN-10: 0521775418
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Davies, Joan
Hersteller: Cambridge University Press
Maße: 246 x 189 x 31 mm
Von/Mit: Joan Davies
Erscheinungsdatum: 22.03.2019
Gewicht: 1,088 kg
preigu-id: 108308287
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