Calculus of one variable

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 inform...

Täydet tiedot

Tallennettuna:
Bibliografiset tiedot
Päätekijä: Hirst, Keith
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: London : Springer London [20..].
Cham : Springer Nature
Painos:1st ed. 2006.
Sarja:Springer Undergraduate Mathematics Series
Aiheet:
Linkit:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Huomautus: Description d'après consultation du 14 mars 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Calculus of one variable, Keith E. Hirst, London, Springer, 2006, 1 vol. (XI-267 p.), Springer undergraduate mathematics series, 1-85233-940-3
• Calculus of One Variable, Texte imprimé, 9781848008434
• Calculus of one variable, Keith E. Hirst, London, Springer, 2006, 1 vol. (XI-267 p.), Springer undergraduate mathematics series, 1-85233-940-3
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504 |a Index 
505 1 |a Functions and Graphs Limits of Functions Differentiation Techniques of Differentiation Applications of Differentiation Maclaurin and Taylor Expansions Integration Integration by Parts Integration by Substitution Integration of Rational Functions Geometrical Applications of Integration 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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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