eBook ISBN:  9780883859827 
Product Code:  CLRM/21.E 
List Price:  $55.00 
MAA Member Price:  $41.25 
AMS Member Price:  $41.25 
eBook ISBN:  9780883859827 
Product Code:  CLRM/21.E 
List Price:  $55.00 
MAA Member Price:  $41.25 
AMS Member Price:  $41.25 

Book DetailsClassroom Resource MaterialsVolume: 21; 1996; 180 ppMSC: 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 firstyear 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 thoughtprovoking 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


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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 firstyear 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 thoughtprovoking 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