Calculus Basics (Volume 1)

Author: Compiled by the Middle School Mathematics Department of the People's Education Press
Publisher:
Publishing Date: 2003-09-01
Features: This book selects the most fundamental calculus, linear algebra, and probability statistics from higher mathematics, which are widely applied in various fields, as the main content and is published in two volumes. The first volume covers nine chapters: Functions, Limits, and Continuity; Derivatives and Differentiation; Mean Value Theorems and Applications of Derivatives; Indefinite Integrals; Definite Integrals; Infinite Series; Space Analytic Geometry and Vector Algebra; Multivariable Function Differentiation and Multivariable Function Integration. The second volume covers ten chapters: Determinants; Matrices; Linear Dependence of Vector Sets; Similar Matrices and Quadratic Forms; Random Events and Probability; Random Variables and Their Distributions; Multidimensional Random Variables and Their Distributions; Digital Characteristics of Random Variables; Law of Large Numbers and Central Limit Theorem; and Mathematical Statistics. Each section is accompanied by an appropriate number of exercises; each chapter includes a summary of the chapter content, review questions, and a refined reading material for the readers' enjoyment; and the end of the book provides various relevant charts, solutions and hints for exercises. This book adheres to the principles of being concise, easy to learn, and practical, with well-chosen material, a rigorous structure, detailed explanations, and clear language. It includes numerous examples for self-study, is versatile, and has strong flexibility, making it suitable for students of different majors in higher normal universities. It can also be used as a textbook for junior colleges or correspondence courses in various institutions of higher learning.