高等数学基础

所属分类:数学  
出版时间:2005-1   出版时间:高等教育   作者:马知恩等[著]   页数:390   字数:470000  

前言

In order to improve the English level of students in China and to make use of successful teaching experiences in Western countries,universities in China have begun to use bilingual teaching in classrooms.To accomodate this,Eng. 1ish language textbooks are

内容概要

The aim of this book is to meet the requirements of teaching Calculus in English or in bilin-gual education according to the customs of teaching and the present domestic conditions. It is divided into two volumes. The first volume contains Calculus of single variable, simple differential equations, infinite series, and the second volume contains the rest.     The selection of the contents is in accordance with the fundamental requirements of teaching issued by the Ministry of Education of China, and is based on the accomplishments of reform in teaching during the past ten years. The arrangement and explanation of the main contents in this book are approximately the same as the published Chinese version with the same title and edited in chief by the first two authors. It may help readers to understand the mathematics and to improve the level of their English by reading one of them and using the other one as a reference.     This book may be used as a textbook for undergraduate students in the science and engi-neering schools whose majors are not mathematics, and may also be suitable to the readers at the same level.

书籍目录

IntroductionChapter
1
Theoretical
Basis
of
Calculus
1.1
Sets
and
Functions
1.1.1
Sets
and
their
operations
1.1.2
Concepts
of
mappings
and
functions
1.1.3
Composition
of
mappings
and
composition
of
functions
1.1.4
Inverse
mappings
and
inverse
functions
1.1.5
Elementary
functions
and
hyperbolic
functions
1.1.6
Some
examples
for
modelling
of
functions
in
practical
problems
Exercises
1.1
1.2
Limit
of
Sequence
1.2.1
Concept
of
limit
of
a
sequence
1.2.2
Conditions
for
convergence
of
a
sequence
1.2.3
Rules
of
operations
on
convergent
sequences
Exercises
1.2
1.3
Limit
of
Function
1.3.1
The
concept
of
limit
of
a
function
1.3.2
The
properties
and
operation
rules
of
functional
limits
1.3.3
Two
important
limits
Exercises
1.3
1.4
Infinitesimal
and
Infinite
Quantities
1.4.1
Infinitesimal
quantities
and
their
order
1.4.2
Equivalence
transformations
of
infinitesimals
1.4.3
Infinite
quantities
Exercises
1.4
1.5
Continuous
Functions
1.5.1
The
concept
of
continuous
function
and
classification
of
discontinuous
points
1.5.2
Operations
on
continuous
functions
and
the
continuity
of
elementary
functions
1.5.3
Properties
of
continuous
functions
on
a
closed
interval
Exercises
1.5Chapter
2
The
Differential
Calculus
and
Its
Applications
2.1
Concept
of
Derivatives
2.1.1
Definition
of
derivatives
2.1.2
Relationship
between
derivability
and
continuity
2.1.3
Some
examples
of
derivative
problems
in
science
and
technology
Exercises
2.1
2.2
Fundamental
Derivation
Rules
2.2.1
Derivation
rules
for
sum,
difference,
product
and
quotient
of
functions
2.2.2
Derivation
rule
for
composite
functions
2.2.3
The
derivative
of
an
inverse
function
2.2.4
Higher-order
derivatives
Exercises
2.2
2.3
Derivation
of
Implicit
Functions
and
Functions
Defined
by
Parametric
Equations
2.3.1
Method
of
derivation
of
implicit
functions
2.3.2
Method
of
derivation
of
a
function
defined
by
parametric
equations
2.3.3
Related
rates
of
change
Exercises
2.3
2.4
The
Differential
2.4.1
Concept
of
the
differential
2.4.2
Geometric
meaning
of
the
differential
2.4.3
Rules
of
operations
on
differentials
……Chapter
3
The
Integral
Calculus
and
Its
ApplicationsChpater
4
Infinite
SeriesAppendix:Answers
and
Hints
for
Exercises

章节摘录

插图:

图书封面


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用户评论 (总计2条)

 
 

  •     内容暂且不说。书的排版令人讨厌,内容不突出,词语字母间本身空格过大,看起来非常累。纸张质量更是不敢恭维,特别薄的一张纸,从这边都恨不得看到下一张写什么内容,根本没法看啊!没见过阅读体验这么差的书。给一星,如果有零星,我肯定给零星。
  •     这是本很好的用英语诠释高数的书籍,比较适合我。
 

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