Proofs and Concepts: The Fundamentals of Abstract Mathematics

Proofs and Concepts: The Fundamentals of Abstract Mathematics

简介:

证明在高等数学和理论计算机科学中起着核心作用,但许多学生第一次参加证明扮演重要角色的课程时就很挣扎。本本科教科书介绍了证明,逻辑,集合,函数和抽象数学的其他基本主题。它被设计为桥梁课程的教科书,向本科生介绍抽象数学,但它也适合本科生 (或数学上成熟的高中生) 的独立学习,或用作本科课程的非常便宜的补充在抽象数学的任何领域。它通过教学生阅读和编写证明所需的技术,帮助学生从解决问题过渡到证明定理。

英文简介:

This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics.  It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.

The book is being released online with a Creative Commons license (Attribution-NonCommercial-ShareAlike 2.0).  Although not in final form, it has already been used as a textbook for several semesters at the University of Lethbridge.  The preliminary version of November 2013 is approximately 200 pages.

书名
Proofs and Concepts: The Fundamentals of Abstract Mathematics
译名
证明和概念:抽象数学的基础
语言
英语
年份
2016
页数
195页
大小
841.15 kB
标签
  • 数学
  • 下载
    pdf iconProofs and Concepts: The Fundamentals of Abstract Mathematics.pdf
    密码
    65536

    最后更新:2025-04-12 23:57:46

    ←Book of Proof, Third Edition

    →Mathematical Reasoning: Writing and Proof