Calculus
Concepts and Methods
(Sprache: Englisch)
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...
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Klappentext zu „Calculus “
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 zu „Calculus “
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.
Autoren-Porträt von Ken Binmore, Joan Davies
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Bibliographische Angaben
- Autoren: Ken Binmore , Joan Davies
- 2019, 570 Seiten, Maße: 18,9 x 24,6 cm, Kartoniert (TB), Englisch
- Herausgegeben: J. Davies
- Verlag: Cambridge University Press
- ISBN-10: 0521775418
- ISBN-13: 9780521775410
- Erscheinungsdatum: 22.03.2019
Sprache:
Englisch
Rezension zu „Calculus “
'... well illustrated and has a good supply of examples and exercises ... an excellent textbook for courses in intermediate calculus for students of mathematics as well as economics.' Zentralblatt fur Mathematik 'The book not only broadens one's mathematical scope and improves one's mathematical skill but, even more usefully, it shows the reader how powerful are the tools that mathematics offers, and that mathematics allows us to participate in processes where our presence is impossible: through mathematics we can enter forbidden worlds, through mathematics we can see the future. Although the book contains no formal definitions, theorems or proofs, it is a genuine mathematical textbook showing how and why the explained methods and concepts work. One hardly can imagine a better textbook of this type.' EMS '... a welcome addition to the ever increasing library of texts introducing the calculus of several real variables. The book is carefully thought out and well written with its target audience always in mind.' The Mathematical Gazette
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