档案列表

Euclidean and Non-Euclidean Geometries: Development and History

欧几里德和非欧几里德几何：发展和历史

Marvin J. Greenberg马文·J·格林伯格

This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. A...

Understanding the Infinite

理解无穷性

Shaughan Lavine肖汉·拉维恩

How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working of a mathematician? Blending history, philosophy, mathematics, and logic, the author seeks to answers this question. Making use of the...

Sacred Mathematics: Japanese Temple Geometry

神圣的数学：日本庙宇几何

Fukagawa Hidetoshi & Tony Rothman深川秀俊和托尼·罗斯曼

Now Fukagawa Hidetoshi, a mathematics teacher, and writer Tony Rothman present a collection of Sangaku problems in their book, Sacred Mathematics. The puzzles range from simple algebra within the grasp of any intermediate-school student, to...

Mathematics and Logic

数学和逻辑

Mark Kac & Stanislaw M. Ulam马克·卡克和斯坦尼斯·M·乌拉姆

Fascinating study considers the origins and nature of mathematics, its development and role in the history of scientific thinking, impact of high-speed computers, 20th-century changes in the foundations of mathematics and mathematical logic,...

Introduction to the Geometry of Complex Numbers

复数几何介绍

Roland Deaux罗兰·都

Geared toward readers unfamiliar with complex numbers, this text explains how to solve the kinds of problems that frequently arise in the applied sciences, especially electrical studies. To assure an easy and complete understanding, topics a...

An Introduction to Matrices, Sets and Groups for Science Students

写给理科生的矩阵、集合和群简介

G. StephensonG·斯蒂芬森

I highly recommend this Dover text as either a self-tutorial or as a quick review of matrices. I initially thought that a text for the "non-mathematics science student" might prove too elementary to be useful. It actually provides a thorough...

18 Unconventional Essays on the Nature of Mathematics

18篇非常规数学性质论文

Reuben Hersh鲁本·赫什

This book collects some of the most interesting recent writings that are tackling, from various points of view, the problem of giving an accounting of the nature, purpose, and justification of real mathematical practice--mathematics as actua...

A Beautiful Math

美妙的数学

Tom Siegfried汤姆·齐格弗里德

Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics invented by John Nash’s beautiful mind. Today Nash’s beautiful math has become a universal language for research in the social s...

Riemannian Geometry: A Modern Introduction

黎曼几何：现代简介

Isaac Chavel艾萨克·沙韦尔

Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics in this second edition. He provides a clearer treatment of many topics, with new proofs of...

The Higher Arithmetic

高等算术

H. DavenportH·达文波特

Now into its Eighth edition, The Higher Arithmetic introduces the classic concepts and theorems of number theory in a way that does not require the reader to have an in-depth knowledge of the theory of numbers The theory of numbers is consid...