Proofs 101: An Introduction to Formal Mathematics
暫譯: 證明入門：正式數學導論

Kirtland, Joseph

Proofs 101: An Introduction to Formal Mathematics
  • 出版商: CRC
  • 出版日期: 2020-11-20
  • 售價: $2,560
  • 貴賓價: 9.5 折 $2,432
  • 語言: 英文
  • 頁數: 176
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0367536811
  • ISBN-13: 9780367536817

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and a first course in linear algebra.

The book prepares students for the proofs they will need to analyze and write the axiomatic nature of mathematics and the rigors of upper-level mathematics courses. Basic number theory, relations, functions, cardinality, and set theory will provide the material for the proofs and lay the foundation for a deeper understanding of mathematics, which students will need to carry with them throughout their future studies.

Features
  • Designed to be teachable across a single semester
  • Suitable as an undergraduate textbook for Introduction to Proofs or Transition to Advanced Mathematics courses
  • Offers a balanced variety of easy, moderate, and difficult exercises

商品描述(中文翻譯)

證明101：正式數學入門 是一本為已完成微積分序列（至少微積分I和II）及線性代數初階課程的數學專業學生所設計的證明入門書籍。

本書為學生準備了他們在分析和撰寫數學公理性質及高級數學課程的嚴謹性所需的證明。基本數論、關係、函數、基數和集合論將提供證明所需的材料，並為學生未來的學習奠定更深入理解數學的基礎。

特色


  • 設計為可在一個學期內教授

  • 適合作為本科生的證明入門或高級數學過渡課程的教科書

  • 提供平衡的簡單、中等和困難的練習題

作者簡介

Author

Joseph Kirtland received his BS from Syracuse University and PhD in mathematics from the University of New Hampshire. He joined the faculty of Marist College in 1992. A highly respected teacher, he has been selected ten times by the students for the Faculty Recognition Award in the School of Computer Science and Mathematics. In 2000, he was presented with the Marist College Board of Trustee's Distinguished Teaching Award, and in 2002, he received the Award for Distinguished College or University Teaching of Mathematics given by the Metropolitan New York section of the Mathematical Association of America. In addition, his first book Identification Numbers and Check Digit Schemes won the Mathematical Association of America's Beckenbach Book Prize in 2002.

Dr. Kirtland's professional interests include finite and infinite group theory, applications of group theory, and mathematics education. He also enjoys poetry (Philip Larkin and Mary Oliver are two of his favorite poets), hiking (he and his wife have hiked nearly ever trail in the Catskill Mountains), and cycling (his bike can often be found in northern Dutchess County, NY).

作者簡介(中文翻譯)

作者

約瑟夫·基特蘭德（Joseph Kirtland）於雪城大學獲得學士學位，並在新罕布什爾大學獲得數學博士學位。他於1992年加入馬里斯特學院的教職。作為一位備受尊敬的教師，他十次被學生選為計算機科學與數學學院的教職員表彰獎得主。2000年，他獲得馬里斯特學院董事會頒發的傑出教學獎，並在2002年獲得美國數學協會大都會紐約分會頒發的數學傑出大學教學獎。此外，他的第一本書《識別號碼與檢查位數方案》（Identification Numbers and Check Digit Schemes）於2002年獲得美國數學協會的貝肯巴赫書獎（Beckenbach Book Prize）。

基特蘭德博士的專業興趣包括有限與無限群論、群論的應用以及數學教育。他也喜愛詩歌（菲利普·拉金（Philip Larkin）和瑪麗·奧利弗（Mary Oliver）是他最喜愛的兩位詩人）、健行（他和妻子幾乎走遍了喀茲基爾山的每一條小徑）以及騎自行車（他的自行車經常出現在紐約北達奇斯縣）。

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