Mathematical Ideas, Methods, and Applications (Revised Edition)

Author: Zhang Shunyan
Publisher:
Publishing Date: 2003-05-03
Features: This edition is a "Key Textbook for Ordinary Higher Education under the 'Nine-Five' Plan of the Ministry of Education." Since its publication in November 1997, it has been widely welcomed by teachers and students. By May 2003, it had sold 27,000 copies. In the revised edition, the author, based on valuable feedback from readers and practical teaching experiences, further revised and adjusted the content and structure. The material on "Indefinite Equations" and "Poincaré Model of Hyperbolic Geometry" was removed, while content related to mathematical quality education, such as "The Status and Role of Mathematics," was added, making it more suitable for the teaching needs of the new century. The book is a higher mathematics textbook for liberal arts, covering topics such as: Number Systems and the th Mathematical Crisis, Continued Fractions and Their Applications in Astronomy, Mathematical Propositions and Proof Methods, Euclidean Geometry, Preliminary Probability Theory, Preliminary Linear Algebra, Space Analytic Geometry, Functions and Limits, Single Variable Calculus, Mathematical Models, and The Status and Role of Mathematics. The book is innovative in its approach, rich in content, easy to understand, and engaging. It addresses many relevant life questions, such as: Why is there a leap year every four years but one less leap year every century? How are intercalary months arranged in the lunar calendar? How can the Gregorian calendar and the sexagenary cycle be converted? How can mathematics help in cultivating world-class athletes? How can votes be allocated? How can forgeries in paintings be identified? The book constructs higher mathematics content from a fresh perspective, emphasizing mathematical thinking training and real-world applications, presenting traditional content in a new light. It can serve as a higher mathematics textbook for students and postgraduates in liberal arts, philosophy, and social sciences, as well as a reference book and extracurricular reading for social science workers, high school students, and mathematics enthusiasts. This edition is a "Key Textbook for General Higher Education under the 'Nine-Five' Plan of the Ministry of Education." Since its publication in November 1997, it has been widely welcomed by teachers and students. By May 2003, it had sold 27,000 copies. In the revised edition, the author, based on valuable feedback from readers and practical teaching experiences, further revised and adjusted the content and structure. The material on "Indefinite Equations" and "Poincaré Model of Hyperbolic Geometry" was removed, while content related to mathematical quality education, such as "The Status and Role of Mathematics," was added, making it more suitable for the teaching needs of the new century. The book is a higher mathematics textbook for liberal arts, covering topics such as: Number Systems and the th Mathematical Crisis, Continued Fractions and Their Applications in Astronomy, Mathematical Propositions and Proof Methods, Euclidean Geometry, Preliminary Probability Theory, Preliminary Linear Algebra, Space Analytic Geometry, Functions and Limits, Single Variable Calculus, Mathematical Models, and The Status and Role of Mathematics. The book is innovative in its approach, rich in content, easy to understand, and engaging. It addresses many relevant life questions, such as: Why is there a leap year every four years but one less leap year every century? How are intercalary months arranged in the lunar calendar? How can the Gregorian calendar and the sexagenary cycle be converted? How can mathematics help in cultivating world-class athletes? How can votes be allocated? How can forgeries in paintings be identified? The book constructs higher mathematics content from a fresh perspective, emphasizing mathematical thinking training and real-world applications, presenting traditional content in a new light. It can serve as a higher mathematics textbook for students and postgraduates in liberal arts, philosophy, and social sciences, as well as a reference book and extracurricular reading for social science workers, high school students, and mathematics enthusiasts.