A First Course in Calculus 微积分基础教程（第5版）

基本信息

Format Paperback | 731 pages

Dimensions 155 x 235 x 38.1mm | 1,133g

Publication date 13 Sep 2012

Publisher Springer-Verlag New York Inc.

Language English

Edition Revised

Edition Statement 5th ed. 1986. Softcover reprint of the original 5th ed. 1986

ISBN10 1461264286

ISBN13 9781461264286

页面参数仅供参考，具体以实物为准

书籍简介

塞尔日·兰这本书的第五版涵盖了传统上在第一年微积分课程中教授的所有课题。微积分基础教程分为五个部分，每一部分都包含与所涉及的主题有关的例子和应用。此外，书的后面还包含了大量习题的详细解答，使它们可以作为练习题来使用—这是对以前版本的主要改进之一。

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.

目录

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.

作者简介

Serge Lang

塞尔日·兰是一位法裔美国数学家和活动家，职业生涯的大部分时间都在耶鲁大学任教。他因在数论方面的工作和他的数学教科书而闻名，包括有影响力的《代数》。他在1960年获得了弗兰克·纳尔逊·科尔奖，是布尔巴基的成员之一。

Serge Lang (French: [lɑ̃ɡ]; May 19, 1927 – September 12, 2005) was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He received the Frank Nelson Cole Prize in 1960 and was a member of the Bourbaki group.