New Edition Graduate Student Mathematics Entrance Examination Review Guide 2005 (Science and Engineering)

Author: Xu Bing
Publisher:
Publish Date: 2004-04-01
Features: This book is rich in content and novel, presenting the fundamental concepts and essential material required for the mathematics entrance exam for science and engineering majors in the form of lectures, exercises, and problem analysis. It clearly explains the required content in a well-organized manner, enabling readers to master the material outlined in the exam syllabus through a certain number of practice problems. The book emphasizes both review and improvement, divided into three parts, 17 chapters, and two appendices.
Part I is Calculus, including:
1. Functions, Limits, and Continuity
2. Differential Calculus of Univariate Functions
3. Integral Calculus of Univariate Functions
4. Vector Algebra and Space Analytic Geometry
5. Differential Calculus of Multivariate Functions
6. Integral Calculus of Multivariate Functions
7. Infinite Series
8. Ordinary Differential Equations (8 chapters)
Part II is Linear Algebra, including:
1. Determinants and Matrices
2. Vectors
3. Systems of Linear Equations
4. Similar Matrices and Quadratic Forms (4 chapters)
Part III is an Introduction to Probability Theory and Mathematical Statistics, including:
1. Random Events and Probability
2. Random Variables and Their Distributions
3. Digital Characteristics of Random Variables
4. Law of Large Numbers and Central Limit Theorem
5. An Introduction to Mathematical Statistics (5 chapters)
The appendices include the 2004 Mathematics (I) exam questions with reference answers and the 2004 Mathematics (II) exam questions with reference answers. This book is an important reference for students preparing for the postgraduate entrance exam in science and engineering majors. It can also serve as a reference for math enthusiasts and teachers.