Volume I (Chapters 1 to 7)
Chapter 1 Functions and limitations
Chapter II Derivative and Differential
Chapter III Differential Mean Value Theorem and Application of Derivative
The fourth chapter indefinite integral
The fifth chapter definite integral
Chapter VI Application of Definite Integral
Chapter VII Differential Equation
Volume II (Chapter 8- 12)
Chapter 8 Spatial Analytic Geometry and Vector Algebra
Chapter 9 Differential method of multivariate function and its application
Chapter 10 Multiple Integrals
Chapter 11 Curve Integral and Surface Integral
Chapter 12 Infinite Series
Advanced Mathematics (6th Edition) is the sixth edition of advanced mathematics compiled by the Department of Mathematics of Tongji University according to the latest Basic Mathematics Course Teaching for Engineering Undergraduates.
Basic requirements, revised for engineering students in colleges and universities. 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 (6th Edition) is published in two volumes. The first volume includes series, functions, limits, calculus and differential equations, and 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, etc. At the end of the book, there are solutions and tips for exercises.
References:
Advanced Mathematics 6th Edition _ Baidu Encyclopedia