The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings.
By introducing logic and emphasizing the structure and nature of the arguments used, this text helps students move carefully from computationally oriented courses to abstract mathematics with its emphasis on proofs.
Applied Mathematics
En revanche, la fonction f atteint son minimum de valeur nulle en tout point du bord de T. 2. Un minimum absolu est un minimum global. 1. On peut aussi former « naturellement » cette équation. 484 Chapitre 11. Calcul différentiel.
责任者译名:波利亚。
本书共十七章,讲述了元函数微积分学;多元函数微积分学;广义积分、无穷级数、傅里叶级数等内容。
新编数学分析
Acknowledgement These are notes of a series of lectures given in the Seminario de Análisis Matemático de la Universidad de Sevilla in March 2004. I express my gratitude to Prof. Rafael Villa - Caro and the people at the Department of ...
Introduction to Mathematical Analysis
An Introduction to Analysis
"This self-study text for practicing engineers and scientists explains the mathematical tools that are required for advanced technological applications, but are often not covered in undergraduate school.