One-variable calculus, with an introduction to linear algebra

Tome M. Apostol

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[目次]

  • Historical Introduction. Some Basic Concepts of the Theory of Sets. A Set of Axioms for the Real Number System. Mathematical Induction, Summation Notation, and Related Topics. The Concepts of the Integral Calculus. Some Applications of Differentiation. Continuous Functions. Differential Calculus. The Relation between Integration and Differentiation. The Logarithm, the Exponential, and the Inverse Trigonometric Functions. Polynomial Approximations to Functions. Introduction to Differential Equations. Complex Numbers. Sequences, Infinite Series, Improper Integrals. Sequences and Series of Functions. Vector Algebra. Applications of Vector Algebra to Analytic Geometry. Calculus of Vector--Valued Functions. Linear Spaces. Linear Transformations and Matrices. Exercises. Answers to Exercises. Index.

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この本の情報

書名 One-variable calculus, with an introduction to linear algebra
著作者等 Apostol, Tom M.
シリーズ名 Calculus
出版元 John Wiley
刊行年月 1967
版表示 2nd ed
ページ数 xx, 666 p.
大きさ 26 cm
ISBN 0471000051
NCID BA10766044
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言語 英語
出版国 アメリカ合衆国
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