An elementary course of infinitesimal calculus
著者
書誌事項
An elementary course of infinitesimal calculus
（Cambridge library collection, . Mathematical sciences）
Cambridge University Press, 2009
- : pbk
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注記
"This digitally printed version 2009"--T.p. verso
Facsim. of 3rd, rev. ed. published: Cambridge : Cambridge University Press, 1919, reprinted 1956
Includes index
内容説明・目次
内容説明
Sir Horace Lamb (1849-1934) the British mathematician, wrote a number of influential works in classical physics. A pupil of Stokes and Clerk Maxwell, he taught for ten years as the first professor of mathematics at the University of Adelaide before returning to Britain to take up the post of professor of physics at the Victoria University of Manchester (where he had first studied mathematics at Owens College). As a teacher and writer his stated aim was clarity: 'somehow to make these dry bones live'. The first edition of this work was published in 1897, the third revised edition in 1919, and a further corrected version just before his death. This edition, reissued here, remained in print until the 1950s. As with Lamb's other textbooks, each section is followed by examples.
目次
- Preface
- 1. Continuity
- 2. Derived functions
- 3. The exponential and logarithmic functions
- 4. Applications of the derived function
- 5. Derivatives of higher orders
- 6. Integration
- 7. Definite integrals
- 8. Geometrical applications
- 9. Special curves
- 10. Curvature
- 11. Differential equations of the first order
- 12. Differential equations of the second order
- 13. Linear equations with constant coefficients
- 14. Differentiation and integration of power-series
- 15. Taylor's theorem
- 16. Functions of several independent variables
- Appendix
- Index.
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