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Advanced Mathematics Book Information II
Publishing House: Peking University Publishing House; Version 1

Authors: Lu Baoxian, Lu Bingqing,

Word count: 490,000 words

Pricing: ¥34.00

Release date: June 2008-10

Name of Series: 2 1 Century National Mathematics Planning Textbook for Higher Vocational Colleges

Paperback: 353 pages

Text Language: Simplified Chinese

Format: 16, 16.

ISBN: 730 109 1257

Bar code: 978730 109 1258

Product size: 22.9 x18.4x1.2cm.

Product weight: 440 g This textbook is one of the "2 1 Century National Teaching Planning Textbooks for Higher Vocational Colleges", which is compiled according to the training objectives of higher vocational colleges. In the content arrangement, some tedious reasoning and proofs are deleted, and some practical contents are added compared with the traditional mathematics textbooks, which makes the mathematics content simple and easy to understand, and the key point is to make students accept the thinking methods and habits of higher education. It is concise, practical, easy to understand and intuitive, and is suitable for teachers' teaching and students' self-study.

This textbook is published in two volumes. The first volume includes: limit and continuity of function, derivative and differential, application of derivative, indefinite integral, definite integral and its application, analytic geometry of space, preliminary calculus of multivariate function, ordinary differential equation, infinite series and so on. This textbook has certain flexibility, and some optional contents have been compiled, and the parts marked with "*" in the book are optional contents. Chapter 65438 Limit and continuity of +0 function

1. 1 elementary function

The limit of 1.2 function

Operation of 1.3 limit

1.4 Infinite and Infinite

Continuity of 1.5 function

Review questions 1

Chapter II Derivative and Differential

2. The concept of1derivative

2.2 Four operations of derivative products

2.3 Derivation of Elementary Functions

2.4 higher derivative

2.5 Implicit functions and derivatives of functions determined by parametric equations

2.6 differential and its operation

Review question 2

Chapter III Application of Derivatives

3. 1 mean value theorem

3.2 Laws of L'H?pital

3.3 Monotonicity and Extremum of Functions

3.4 Functional graphic description

Review question 3

The fourth chapter indefinite integral

4. The concept of1indefinite integral

4.2 Basic formulas and rules of integral

4.3 Alternative integration method

4.4 parts integration

4.5 Application of Integral Table

Review question 4

The fifth chapter definite integral and its application

5. The concept of1definite integral

5.2 Newton-Leibniz formula

5.3 Calculation of definite integral

5.4 Application of definite integral

5.5 generalized integral

Review question 4

Chapter VI Spatial Analytic Geometry

6. 1 space rectangular system

6.2 the concept and operation of vector

6.3 product of quantity and product of vector

6.4 plane equation

6.5 Spatial linear equation

6.6 Common surface equations

Review question 6

The seventh chapter is the preliminary study of multivariate function calculus.

7. The concept of1multivariate function

7.2 Partial Derivatives Higher-order Partial Derivatives

7.3 Total differential and its simple application

7.4 Partial derivatives of composite functions and implicit functions

7.5 Extreme value of multivariate function

7.6 Geometric application of multivariate function differential method

7.7 double integral

Review question 7

Chapter VIII Ordinary Differential Equations

Chapter 9 Infinite Series

Appendix general integral table

Practice reference answers

Peking University Edition Advanced Mathematics