概率论入门

非线性振动，动力学系统和矢量场的分叉

Problems in dynamics have fascinated physical scientists (and mankind in general) for thousands of years. Notable among such problems are those of celestial mechanics, especially the study of the moti

椭圆曲线和模形式引论(影印版)

凸分析基础

This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since

经典力学和天体力学中的数学论题 第2版

This work describes the fundamental principles, problems, and methods of classical mechanics focussing on its mathematical aspects. The authors have striven to give an exposition stressing the working

椭圆曲线和模型式引论 第2版（影印版）

My purpose is to make the subject accessible to those who find it hard to read more advanced or more algebraically oriented treatments. At the same time I want to introduce topics which are at the for

高等数学分析

本书作者是当代数学大师，这本教材的蓝本从1968年开始使用，先后两次改版，重印四次，非常适合学过微积分的高校数学系本科生使用。本书重点论述一致收敛、一到极限，以及在积分或微分情况下普遍的一致性等理论。 　

椭圆曲线的算术理论

The preface to a textbook frequently contains the author's justification for offering the public "another book" on the given subject. For our chosen topic, the arithmetic of elliptic curves, there is

黎曼曲面

It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century. It is particularly pleasing that the subject of Riemann

黎曼曲面讲义

This book grew out of lectures on Riemann surfaces which the author gave at the universities of Munich, Regensburg and Munster. Its aim is to give an introduction to this rich and beautiful subject, w

紧李群的表示

This book is based on several courses given by the authors since 1966. It introduces the reader to the representation theory of compact Lie groups. We have chosen a geometrical and analytical approach

群论教程

傅立叶分析和偏微分方程

This book is the outcome of several courses and seminar talks held at the Instituto de Matematica Pura e Aplicada (IMPA) over the years.It is a greatly modified version of a previous work by the autho

几何偏微分方程和图象分析

This book is an introduction to the use of geometric partial differential equations (PDEs) in image processing and computer vision. This relatively new research area brings a number of new concepts in

数学家用的量子场论

After completing my dissertation in differential geometry, I returned to Maharishi University of Management to join the faculty there. The greatest need for my services was in the physics department,