College Mathematics. Random Mathematics

Author: Gao Wensen
Publisher:
Publish Date: 2004-07-01
Features: College Mathematics: Random Mathematics is published and distributed by Higher Education Press. The College Mathematics series is a national-level planning textbook for general higher education under the "15th Five-Year Plan." It was developed based on the achievements of the reform and practice of mathematics courses for non-mathematics majors in science and engineering disciplines under the "Higher Education Teaching Content and Curriculum System Reform Plan for the 21st Century," as well as drawing on the experience of similar textbooks from abroad. This series aims to strengthen the foundation, enhance application, optimize holistically, and focus on long-term effects, with the following characteristics:
1. In terms of content, it emphasizes the unity of classics and modernity;
2. In terms of selection, it adheres to the unity of scientificity, systematicity, and feasibility;
3. In terms of teaching, it strives for the unity of imparting mathematical knowledge and cultivating mathematical literacy.
The textbook is rich in content, with some sections marked with an asterisk () to facilitate tiered teaching or learning according to the needs of teachers or readers. The exercises in the book are divided into two categories: (A) and (B):
- Category (A) consists of problems that reflect the basic teaching requirements and provide materials for mathematical experiment courses;
- Category (B) consists of problems that enhance, expand, and have certain comprehensive application properties.
This series is divided into five volumes: Calculus (Upper, Middle, and Lower), Linear Algebra, and Random Mathematics. This book is Random Mathematics, covering topics such as classical probability models, random variables and their distributions, the numerical characteristics of random variables, the law of large numbers, and the central limit theorem; mathematical statistics (parameter estimation, hypothesis testing, regression analysis, analysis of variance, and orthogonal experiments); and an introduction to stochastic processes. It is suitable for students of non-mathematics majors in science and engineering disciplines of general higher education institutions and can also be referenced by engineering and technical personnel.