An analytical calculus : for school and university

著者

• Maxwell, E. A. (Edwin Arthur)

書誌事項

An analytical calculus : for school and university

by E. A. Maxwell

Cambridge University Press, 2008

Digitally printed version

• v. 1 : pbk
• v. 2 : pbk
• v. 3 : pbk

タイトル別名

An analytical calculus

注記

Originally published: 1954

内容説明・目次

巻冊次

v. 1 : pbk ISBN 9780521090353

内容説明

This is the first volume of a series of four volumes covering all stages of development of the Calculus, from the last year at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies, with their emphasis on rigour. This volume is concerned with the basic ideas and applications of differentiation and integration in relation to algebraic and trigonometric functions, but excluding logarithmic and exponential functions. Integration begins on the 'Riemann integral' basis, and the treatment of curves combines accuracy with simplicity, without shirking the awkward problems of sign. Each section has examples; at the end of each chapter there are problems from school-leaving and open scholarship examinations.

目次

• Preface
• Introduction
• 1. The idea of differentiation
• 2. The evaluation of differential coefficients
• 3. Applications of differentiation
• 4. The idea of integration
• 5. Devices in integration
• 6. Applications of integration
• Answers to examples
• Index.

巻冊次

v. 2 : pbk ISBN 9780521090360

内容説明

This is the second of a series of four volumes covering all stages of development of the Calculus, from the last years at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies. with their emphasis on rigour. This treatment of algebraic and trigonometric functions is here developed to cover logarithmic, exponential and hyperbolic functions and the expansion of all these functions as power series. There is a chapter on curves and the idea of complex numbers is introduced for the first time. In the two final chapters, the author begins a systematic treatment of methods of integrating functions, introducing principles into what often seems rather a haphazard process. This volume, like the others, is well endowed with examples.

目次

• Preface
• 7. The logarithmic and exponential functions
• 8. Taylor's series and allied results
• 9. The hyperbolic functions
• 10. Curves
• 11. Complex numbers
• 12. Systematic integration
• 13. Integrals involving 'infinity'
• Appendix
• Answers to examples
• Index.

巻冊次

v. 3 : pbk ISBN 9780521090377

内容説明

This is the third volume of a series of four volumes covering all stages of development of the Calculus, from the last year at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies, with their emphasis on rigour. The volume treats of the theory of functions of more than one variable. Partial differentiation and multiple integrals are explained in detail. Each section has examples; at the end of each chapter there are problems from school-leaving and open scholarship examinations. This volume is most suitable for the first or second year at British universities.

目次

• Preface
• Introduction
• 14. Partial differentiation
• 15. Maxima and minima
• 16. Jacobins
• 17. Multiple integrals
• 18. The sketching of curves
• Answers to examples
• Index.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA89057056
• ISBN:
  • 9780521090353
  • 9780521090360
  • 9780521090377
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: 3 v.
• 大きさ: 22 cm
• 分類:
  • DC22 : 515
• 件名:
  • LCSH : Calculus