An Elementary Transition to Abstract Mathematics
暫譯: 初步過渡到抽象數學
Effinger, Gove, Mullen, Gary L.
- 出版商: CRC
- 出版日期: 2019-10-28
- 售價: $4,110
- 貴賓價: 9.5 折 $3,905
- 語言: 英文
- 頁數: 282
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0367336936
- ISBN-13: 9780367336936
海外代購書籍(需單獨結帳)
商品描述
An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role.
The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials.
Features:
- The material is presented in many short chapters, so that one concept at a time can be absorbed by the student.
- Two looking back chapters at the outset (pre-calculus and calculus) are designed to start the student's transition by working with familiar concepts.
- Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns.
- A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student.
商品描述(中文翻譯)
《初步過渡到抽象數學》將幫助學生從入門課程過渡到更注重嚴謹性和證明的課程。
本書分為五個基本部分：第一部分回顧了預備微積分和微積分中的選定主題，以更嚴謹的方式處理，並涵蓋各種證明技術；第二部分涵蓋數學歸納法、集合、函數、基數、複數、排列和矩陣；第三部分介紹基本數論，包括其在密碼學中的應用；第四部分介紹抽象代數中的關鍵對象；最後一部分專注於多項式。
特色：
- 內容以許多短章節呈現，讓學生能夠一次吸收一個概念。
- 開頭有兩個回顧章節（預備微積分和微積分），旨在通過熟悉的概念開始學生的過渡。
- 每個概念都提供了許多例子，以使材料盡可能具體，並強調尋找模式的重要性。
- 全書採用對話式的寫作風格，以鼓勵學生主動學習。
作者簡介
Gove Effinger received his Ph.D. in Mathematics from the University of Massachusetts (Amherst) in 1981 and subsequently taught at Bates College for 5 years and then Skidmore College for 29 years. He is the author of two books: Additive Number Theory of Polynomials over a Finite Field (with David R. Hayes), and Common-Sense BASIC: Structured Programming with Microsoft QuickBASIC (with Alice M. Dean), as well as numerous research papers. His research focus has primarily been concerned with the similarities of the ring of polynomials over a finite field to the ring of ordinary integers.
Gary L. Mullen is Professor of Mathematics at the Pennsylvania State University, University Park, PA. He has taught both undergraduate and graduate courses there for over 40 years. In addition, he has written more than 150 research papers and five books, including both graduate as well as undergraduate textbooks. He also served as department head for seven years and has served as an editor on numerous editorial boards, including having served as Editor-in-Chief of the journal Finite Fields and Their Applications since its founding in 1995.
作者簡介(中文翻譯)
戈夫·艾芬格於1981年在麻薩諸塞州大學（阿默斯特）獲得數學博士學位，隨後在貝茨學院任教5年，然後在斯基德莫爾學院任教29年。他是兩本書的作者：《有限域上的多項式加法數論》（與大衛·R·海斯合著）和《常識BASIC：使用Microsoft QuickBASIC的結構化程式設計》（與愛麗絲·M·迪恩合著），以及多篇研究論文。他的研究重點主要關注有限域上的多項式環與普通整數環之間的相似性。
加里·L·穆倫是賓夕法尼亞州立大學（University Park, PA）的數學教授。他在那裡教授本科和研究生課程超過40年。此外，他撰寫了超過150篇研究論文和五本書籍，包括研究生和本科教科書。他還擔任了七年的系主任，並在多個編輯委員會中擔任編輯，自1995年創刊以來擔任期刊《有限域及其應用》的主編。
