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Essentials of Mathematics: Introduction to Theory, Proof, and the Professional Culture
 
Essentials of Mathematics
MAA Press: An Imprint of the American Mathematical Society
eBook ISBN:  978-0-88385-982-7
Product Code:  CLRM/21.E
List Price: $55.00
MAA Member Price: $41.25
AMS Member Price: $41.25
Essentials of Mathematics
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Essentials of Mathematics: Introduction to Theory, Proof, and the Professional Culture
MAA Press: An Imprint of the American Mathematical Society
eBook ISBN:  978-0-88385-982-7
Product Code:  CLRM/21.E
List Price: $55.00
MAA Member Price: $41.25
AMS Member Price: $41.25
  • Book Details
     
     
    Classroom Resource Materials
    Volume: 211996; 180 pp
    MSC: Primary 00

    Every mathematician must make the transition from the calculations of high school to the structural and theoretical approaches of graduate school. Essentials of Mathematics provides the knowledge needed to move onto advanced mathematical work and a glimpse of what being a mathematician might be like. No other book takes this particular holistic approach to the task. Essentials of Mathematics is designed as both a textbook and outside reading for college students who want to prepare themselves for mathematics courses beyond the first-year level and take courses in which proofs play a major role. There are also narratives on the nature of mathematics and the mathematics profession.

  • Table of Contents
     
     
    • Chapters
    • 0. Mathematics
    • 1. Logic
    • 2. Set Theory
    • 3. The Natural Numbers
    • 4. The Positive Rational Numbers
    • 5. The Real Numbers
    • 6. The Complex Numbers
    • 7. And Beyond$\ldots $
  • Reviews
     
     
    • This beautifully written book is intended to be used by first or second year undergraduate university students to bridge the gap from school mathematics to "what comes next." ... This is a wonderful book. ... It is a thought-provoking resource for anyone involved in curriculum development and teaching of mathematics at the university entrance level ... It should be essential reading for every enthusiastic undergraduate.

      Cheryl E. Praeger, Gazette, Australian Mathematical Society
    • The presentations style is conversational, employing frequent thought questions and directions for readers to try for themselves. A unique and refreshing feature of this book is the introduction of the interesting and fun problems in mathematics that students do not usually encounter in a core course. ... The book breaks the mold of traditional texts by portraying mathematics in a different light. Through this broader view of mathematics, this text may attract more undergraduate students into the beautiful and delightful world of mathematics.

      The American Statistician
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Accessibility – to request an alternate format of an AMS title
Volume: 211996; 180 pp
MSC: Primary 00

Every mathematician must make the transition from the calculations of high school to the structural and theoretical approaches of graduate school. Essentials of Mathematics provides the knowledge needed to move onto advanced mathematical work and a glimpse of what being a mathematician might be like. No other book takes this particular holistic approach to the task. Essentials of Mathematics is designed as both a textbook and outside reading for college students who want to prepare themselves for mathematics courses beyond the first-year level and take courses in which proofs play a major role. There are also narratives on the nature of mathematics and the mathematics profession.

  • Chapters
  • 0. Mathematics
  • 1. Logic
  • 2. Set Theory
  • 3. The Natural Numbers
  • 4. The Positive Rational Numbers
  • 5. The Real Numbers
  • 6. The Complex Numbers
  • 7. And Beyond$\ldots $
  • This beautifully written book is intended to be used by first or second year undergraduate university students to bridge the gap from school mathematics to "what comes next." ... This is a wonderful book. ... It is a thought-provoking resource for anyone involved in curriculum development and teaching of mathematics at the university entrance level ... It should be essential reading for every enthusiastic undergraduate.

    Cheryl E. Praeger, Gazette, Australian Mathematical Society
  • The presentations style is conversational, employing frequent thought questions and directions for readers to try for themselves. A unique and refreshing feature of this book is the introduction of the interesting and fun problems in mathematics that students do not usually encounter in a core course. ... The book breaks the mold of traditional texts by portraying mathematics in a different light. Through this broader view of mathematics, this text may attract more undergraduate students into the beautiful and delightful world of mathematics.

    The American Statistician
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Accessibility – to request an alternate format of an AMS title
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