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A First Course in Calculus (Undergraduate Texts in Mathematics)

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A First Course in Calculus (Undergraduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples — one of the main improvements over previous editions.

Table of Contents

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.

Product Details

ISBN:
9781461264286
Author:
Lang, Serge
Publisher:
Springer
Subject:
Mathematical Analysis
Subject:
Calculus
Subject:
Real functions
Subject:
Mathematics-Analysis General
Copyright:
Edition Description:
Softcover reprint of the original 5th ed. 1986
Series:
Undergraduate Texts in Mathematics
Publication Date:
20121231
Binding:
TRADE PAPER
Language:
English
Pages:
746
Dimensions:
235 x 155 mm

Related Subjects

Education » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General

A First Course in Calculus (Undergraduate Texts in Mathematics) New Trade Paper
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Product details 746 pages Springer - English 9781461264286 Reviews:
"Synopsis" by , This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples — one of the main improvements over previous editions.
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