A First Course in Calculus (Undergraduate Texts in Mathematics)

Serge Lang

ISBN 10: 0387962018 / ISBN 13: 9780387962016

Editore: Springer 1998-03-01, 1998

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Codice articolo 6666-GRD-9780387962016

Dati bibliografici

• Titolo: A First Course in Calculus (Undergraduate Texts in Mathematics)
• Editore: Springer 1998-03-01
• Data di pubblicazione: 1998
• Lingua: Inglese
• ISBN 10: 0387962018
• ISBN 13: 9780387962016
• Rilegatura: Hardcover
• Edizione: quinta edizione o successive
• Condizione: New

Descrizione articolo

Riassunto

This is the fifth edition of Lang's caclulus book. It covers all of the topics traditionally taught in the first-year calculus sequence. The book consists of five parts: Review of Basic Material, Differention and Elementary Functions, Integration, Taylor's Formula and Series and Functions of Several Variables. Each section of A FIRST COURSE IN CALCULUS contains examples and applications of the topic covered. In addition, the back of the book contains detailed solutions to a large number of the exercises. These can be used as worked-out examples, and constitute one of the main changes from previous editions.

Contenuti

I: Review of Basic Material. * Numbers and Functions. * Graphs and Curves. II: Differention and Elementary Functions. * The Derivative. * Sine and Cosine. * The Mean Value Theorem. * Sketching Curves. * Inverse Functions * Exponents and Logarithms. III: Integration. * Integration. * Properties of the Integral. * Techniques of Integration. * Applications of Integration. IV: Taylor's Formula and Series. * Taylor's Formula. * Series. Appendix. V: Functions of Several Variables. * Vectors. * Differention of Vectors. * Functions of Several Variables. * The Chain Rule and the Gradient.