Hirst, Keith E.

Calculus of one variable - New Delhi: Springer India, 2006. - 267p.; pbk; 23cm. - Springer undergraduate mathematics series .

Includes index and 72 figures.

Aimed at first-year undergraduates in mathematics and the physical sciences, the only prerequisites are basic algebra, coordinate geometry and the beginnings of differentiation as covered in school. The transition from school to university mathematics is addressed by means of a systematic development of important classes of techniques, and through careful discussion of the basic definitions and some of the theorems of calculus, with proofs where appropriate, but stopping short of the rigour involved in Real Analysis.

The influence of technology on the learning and teaching of mathematics is recognised through the use of the computer algebra and graphical package MAPLE to illustrate many of the ideas. Readers are also encouraged to practice the essential techniques through numerous exercises which are an important component of the book. Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web.

https://link.springer.com/book/10.1007/1-84628-222-5

9788184894790


Calculus of a single variable
Integration
Real functions
Calculus
Real analysis

515.83 / HIR