Advanced Mathematics

Author: Fan Wenxiang
Publisher:
Publish Date: 2005-09-01
Features: This textbook is primarily based on the "Basic Requirements for Teaching Higher Mathematics in Higher Vocational Education" issued by the Ministry of Education in 1998. The textbook consists of ten chapters, mainly covering limits and continuity, derivatives and differentials, applications of derivatives, indefinite integrals, definite integrals and their applications, differential calculus of multivariable functions, integral calculus of multivariable functions, differential equations, infinite series, and Laplace transforms. During the writing process, full consideration was given to the current state of adult education, and the following principles were strictly followed: strengthening fundamentals, emphasizing applications, downplaying theory, focusing on competence, implementing teaching in a tiered manner, proceeding step by step, enhancing the of mathematics, and reflecting modern mathematical concepts. Based on these principles and the objectives of professional talent cultivation, this textbook comprehensively and accurately explains the fundamental theories, basic knowledge, and essential skills of higher mathematics. The content is appropriately selected, the depth is suitable, the structure is rigorous, and theory is closely linked to practice, which is beneficial for cultivating students' self-study abilities, independent thinking skills, and innovative capabilities. This textbook can be used by students of various adult vocational education programs, as well as by those in correspondence courses, various vocational training programs, and individuals who are self-motivated to achieve success through self-study.