Calculus, Volume 1

Inbunden, Engelska, 1975

4 140 kr

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Beskrivning

An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

Produktinformation

Utgivningsdatum:1975-01-01
Mått:176 x 263 x 42 mm
Vikt:1 325 g
Format:Inbunden
Språk:Engelska
Antal sidor:688
Upplaga:2
Förlag:John Wiley & Sons Inc
ISBN:9780471000051

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

TOM M. APOSTOL, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project MATHEMATICS!, a series of computer-animated mathematics videotapes.

Innehållsförteckning

I. IntroductionPart 1. Historical IntroductionPart 2. Some Basic Concepts of the theory of setsPart 3. A set of Axioms for the Real-Number SystemPart 4. Mathematical Induction, Summation Notation,and Related Topics1. The Concepts of Integral Calculus2. Some Applications of Integration3. Continuous Functions4. Differential Calculus5. The Relation Between Integration and Differentiation6. The Logarithm,the Exponential,and the Inverse Trigonmetric Functions7. Polynomial Approximations to Functions8. Introduction to Differential Equations9. Complex Numbers10. Sequences, Infinite Series, Improper Integrals11. Sequences and Series of functions12. Vector algebra13. Applications of Vector Algebra to Analytic Geometry14. Calculus of Vector Valued Functions15. Linear Spaces16. Linear Transformations and MatricesAnswers to exercises 617Index 657