First Course in Calculus

Inbunden, Engelska, 1986

AvSerge Lang

779 kr

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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.

Produktinformation

Utgivningsdatum1986-01-15
Mått155 x 235 x 39 mm
Vikt2 690 g
FormatInbunden
SpråkEngelska
SerieUndergraduate Texts in Mathematics
Antal sidor731
Upplaga5
FörlagSpringer-Verlag New York Inc.
ISBN9780387962016

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Beräkning och matematisk analys inom Naturvetenskap och teknik

One Review of Basic Material.- I Numbers and Functions.- II Graphs and Curves.- Two Differentiation and Elementary Functions.- III The Derivative.- IV Sine and Cosine.- V The Mean Value Theorem.- VI Sketching Curves.- VII Inverse Functions.- VIII Exponents and Logarithms.- Three Integration.- IX Integration.- X Properties of the Integral.- XI Techniques of Integration.- XII Applications of Integration.- Four Taylor’s Formula and Series.- XIII Taylor's Formula.- XIV Series.- Five Functions of Several Variables.- XV Vectors.- XVI Differentiation of Vectors.- XVII Functions of Several Variables.- XVIII The Chain Rule and the Gradient.- Answer.