Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA303.SPR FCT 94691 (Browse shelf) | 1 | Available |
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QA303.SPR FCT 81423 Elementary analysis | QA303.SPR FCT 81508 Calculus with applications | QA303.SPR FCT 81634 More calculus of a single variable | QA303.SPR FCT 94691 Calculus of one variable | QA303.2.SPR FCT 81350 Calculus without derivatives | QA303.2.SPR FCT 81455 Applications of q-calculus in operator theory | QA304.HID FCT 95310 Differential calculus in normed linear spaces |
Colocação: Online
Understanding the techniques and applications of calculus is at the heart of mathematics, science and engineering. This book presents the key topics of introductory calculus through an extensive, well-chosen collection of worked examples, covering; algebraic techniques functions and graphs an informal discussion of limits techniques of differentiation and integration Maclaurin and Taylor expansions geometrical applications 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. .
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