Mathematical ideas, methods, and applications

Author: Zhang Shunyan
Publisher:
Publish Date: 2004-06-01
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 of the book. The sections on "Indefinite Equations" and "Poincaré Model of Hyperbolic Geometry" were removed, while new content such as "The Status and Role of Mathematics" related to mathematical quality education was added, making it more suitable for teaching needs in 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 has a novel concept, rich content, is easy to understand, and is engaging. It addresses many life-related 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 to convert the Sexagenary Cycle to the Common Era? How to use mathematics to train world-class sports champions? How to allocate votes? How to identify forgeries in famous paintings? The book constructs higher mathematics content from a fresh perspective, emphasizing mathematical thinking training and practical application, 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 at universities, 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 of the book. The sections on "Indefinite Equations" and "Poincaré Model of Hyperbolic Geometry" were removed, while new content such as "The Status and Role of Mathematics" related to mathematical quality education was added, making it more suitable for new teaching needs. 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 has a novel concept, rich content, is easy to understand, and is engaging. It addresses many life-related 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 to convert the Sexagenary Cycle to the Common Era? How to use mathematics to train world-class sports champions? How to allocate votes? How to identify forgeries in famous paintings? The book constructs higher mathematics content from a fresh perspective, emphasizing mathematical thinking training and practical application, 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 at universities, as well as a reference book and extracurricular reading for social science workers, high school students, and mathematics enthusiasts.