Advanced Mathematics (1) (6th Edition, Tongji University) (the textbook of the 11th Five-Year Plan for General Higher Education), which is completely new and genuine. Author: Department of Mathematics, Tongji University Editor: Market Price: 27.60 Yuan Basic Information Press: Higher Education Press.
Page number: 4 13
Publication date: 065438+2007 10.
ISBN: 9787040205497
Bar code: 9787040205497
Version: Version 1
Binding: paperback
Page number: 16
Text language: Chinese
Target audience: college students
Series Name: Introduction to the National Planning Textbook of the Eleventh Five-Year Plan for General Higher Education "Colleges and Universities" is the sixth edition of Higher Mathematics compiled by the Mathematics Department of Tongji University. According to the latest Basic Requirements of Mathematics Teaching for Engineering Undergraduates, it is revised for engineering majors in colleges and universities.
In this revision, the depth and breadth of the textbook have been moderately adjusted, so that students who study this course can meet the qualification requirements, and some contents marked with * have been set up to meet the needs of hierarchical teaching; Absorb the advantages of excellent textbooks at home and abroad, adjust and enrich the types and quantities of exercises, help students improve their mathematical literacy, cultivate their innovative consciousness and master the ability to solve practical problems with mathematical tools. It is more beneficial for students to learn and master by further tempering and adjusting the contents in the book and moving the application of differential equation as a function of one variable to the first book.
"Institutions of Higher Learning" is published in two volumes. The first volume includes function and limit, derivative and differential, differential mean value theorem and derivative application, indefinite integral, definite integral and its application, differential equation and so on. At the end of the book, there are brief introductions of second-order and third-order determinants, several commonly used songs, integral tables, answers and exercise tips. The editor suggested that colleges and universities should revise on the basis of the fifth edition. This book is divided into two volumes. Colleges and Universities is the first volume, including: function and limit, derivative and differential, differential mean value theorem and derivative application, indefinite integral, definite integral and its application, differential equation, etc. At the end of the book, there are brief introductions of second-order and third-order determinants, several commonly used curves, integral tables, answers and exercise tips. "College" is rich in content and easy to understand, and can be used as a mathematics textbook for students of various majors in colleges and universities. Table of Contents Chapter 1 Functions and Restrictions
Section 1 Mapping and Functions
The limit of sequence in the second quarter
The limit of the function in the third quarter
The fourth quarter infinitesimal and infinite
Section 5 Limit Algorithm
Section 6 Limit Existence Criterion Two Important Limits
Section 7 Comparison of infinitesimals
Section 8 Continuous Points and Discontinuous Points of Functions
Section 9 Operation of Continuous Functions and Continuity of Elementary Functions
Properties of continuous functions on 10 cut-off interval
General exercises
Chapter II Derivative and Differential
Section 1 The concept of derivative instruments
Rule of Derivation of Function in Section 2
Higher derivative in the third quarter
The fourth quarter implicit function and derivative correlation rate of function determined by parametric equation
Section 5 Differential of Functions
General exercise 2
Chapter III Differential Mean Value Theorem and Application of Derivative
Section 1 Differential Mean Value Theorem
L'H?pital's law in the second quarter
In the third quarter Taylor formula
Monotonicity of Function in Section 4 and Concave-convex of Curve
Section 5 Extreme Value, Maximum Value and Minimum Value of Functions
Section 6 Functional Graphic Description
Section 7 curvature
Approximate solution of the equation in section 8
General exercise 3
The fourth chapter indefinite integral
Section 1 Concept and Properties of Indefinite Integral
In the second quarter, substitution integral method
Section 3 Parts Integration
Section 4 Integration of Rational Functions
Section 5 Share of Integral Table
General exercise 4
Chapter V Application of Definite Integral
Section 1 Concept and Properties of Definite Integral
Section 2 Basic Calculus Formulas
Method of substitution and integration by parts of definite integral in the third quarter
The fourth quarter improper integral.
Section 5 The improper integral Function of Trial and Error Method
General exercise 5
Chapter VII Differential Equations, etc.
The first nodal element method of definite integral
The application of definite integral in geometry in the second quarter
Application of definite integral in physics
General exercise 6
Appendix I introduces the second and third determinants.
Appendix II Several Common Curves
Appendix III Integral Table
Answers and Hints to Higher Mathematics Exercises (Volume II) (National Planning Textbook for General Higher Education in the Eleventh Five-Year Plan), New Edition (NH). Author: Tongji University Department of Mathematics Editor: Tongji University Department of Mathematics
Market price: ￥23.60
Basic Information Press: Higher Education Press
Page number: 35 1
Publication date: 065438+2007 10.
ISBN:97870402 12778
Bar code: 97870402 12778
Version: Version 1
Binding: paperback
Page number: 16
Text language: Chinese
Target audience: college students
Series Name: Introduction to the National General Higher Education Planning Textbook during the Eleventh Five-Year Plan; Advanced Mathematics (Volume II) is the sixth edition of advanced mathematics compiled by the Mathematics Department of Tongji University, and the engineering major in colleges and universities is revised according to the latest Basic Requirements for Basic Mathematics Course Teaching for Engineering Undergraduates. In this revision, the depth and breadth of the textbook have been properly adjusted, so that students who study this course can meet the qualification requirements, and some contents marked with * have been set up to meet the needs of hierarchical teaching; Absorb the advantages of excellent textbooks at home and abroad, adjust and enrich the types and quantities of exercises, help students improve their mathematical literacy, cultivate their innovative consciousness and master the ability to solve practical problems with mathematical tools. Further tempering and adjusting the contents of the book, moving spatial analytic geometry and vector algebra to the second volume, and teaching them together with multivariate function calculus is more conducive to students' learning and mastering.
Advanced mathematics is published in two volumes. The second volume includes spatial analytic geometry and vector algebra, differential methods of multivariate functions and their applications, multiple integrals, curve integrals and surface integrals, infinite series and so on. At the end of the book, there are solutions and tips for exercises. The sixth edition of Advanced Mathematics (Volume II) recommended by the editor is a national planning textbook for general higher education during the Eleventh Five-Year Plan period, which has been further revised on the basis of the fifth edition. On the basis of retaining the advantages of the original textbook, such as strict structure, clear logic, detailed narration, easy to understand, many examples and easy to learn by themselves, the new textbook has appropriately adjusted the depth and breadth of the textbook to make it more suitable for the current teaching needs; At the same time, it absorbed the advantages of excellent foreign textbooks and made more adjustments and enrichment to the exercises; The contents of the book have been further tempered and properly adjusted, making it more adaptable to the new requirements of the popularization of higher education. Contents Chapter 8 Spatial Analytic Geometry and Vector Algebra
The first sectional vector and its linear operation
Section 2 Cross-products and Mixed Products of Quantity Products
The third section surface and its equation
Section 4 Spatial Curve and Its Equation
Section 5 Plane and Its Equation
Section 6 Spatial Straight Lines and Their Equations
General exercise 8
Chapter 9 Differential method of multivariate function and its application
Section 1 Basic Concepts of Multivariate Functions
Partial derivative of the second quarter
Section 3 Total balance
In the fourth quarter, the derivation rules of multivariate composite functions
Section 5 Derivation Formula of Implicit Function
Section 6 Geometric application of differential calculus of multivariate functions
Section 7 Direction Derivative and Gradient
Section 8 Extreme value of multivariate function and its solution
Section 9 Taylor formula of binary function
Section 10 Most customer service doubled.
General exercise 9
Chapter 10 Multiple Integrals
Section 1 Concept and Properties of Double Integral
The calculation method of double integral in the second quarter
The third quarter triple integral
The fourth quarter the application of multiple integrals
Section 5 Integration of Parameter Variables
General exercise 10
Chapter 11 Curve Integral and Surface Integral
The curve integral of arc length in the first section
The second quarter coordinate curve integral
Section 3 Green's Formula and Its Application
Surface integral of the area in the fourth quarter
The Surface Integral of Section 5 Coordinates
Section 6 Gauss Formula Flux and Divergence
Section 7 Stokes Formula Circulation and Curvature
General exercises 1 1
Chapter 12 Infinite Series
Section 1 Concepts and Properties of Constant Term Series
The Convergence Method of Constant Term Series in the Second Section
Power series in the third quarter
The function in the fourth quarter is expanded into a power series.
Application of power series expansion of function in section 5
Section 6 Uniform Convergence of Function Term Series and Basic Properties of Uniformly Convergent Series
Section 7 Fourier series
Section 8 Fourier series of general periodic functions
General exercise 12
Answers and tips for exercises