Softcover ISBN:  9781470465803 
Product Code:  TEXT/24.S 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781614446132 
Product Code:  TEXT/24.E 
List Price:  $59.00 
MAA Member Price:  $44.25 
AMS Member Price:  $44.25 
Softcover ISBN:  9781470465803 
eBook: ISBN:  9781614446132 
Product Code:  TEXT/24.S.B 
List Price:  $124.00 $94.50 
MAA Member Price:  $93.00 $70.88 
AMS Member Price:  $93.00 $70.88 
Softcover ISBN:  9781470465803 
Product Code:  TEXT/24.S 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781614446132 
Product Code:  TEXT/24.E 
List Price:  $59.00 
MAA Member Price:  $44.25 
AMS Member Price:  $44.25 
Softcover ISBN:  9781470465803 
eBook ISBN:  9781614446132 
Product Code:  TEXT/24.S.B 
List Price:  $124.00 $94.50 
MAA Member Price:  $93.00 $70.88 
AMS Member Price:  $93.00 $70.88 

Book DetailsAMS/MAA TextbooksVolume: 24; 2013; 171 pp
Mathematics is not a spectator sport; successful students of mathematics grapple with ideas for themselves. Distilling Ideas presents a carefully designed sequence of exercises and theorem statements that challenge students to create proofs and concepts. As students meet these challenges, they discover strategies of proofs and strategies of thinking beyond mathematics. In other words, Distilling Ideas helps its users to develop the skills, attitudes, and habits of mind of a mathematician, and to enjoy the process of distilling and exploring ideas. Distilling Ideas is an ideal textbook for a first proofbased course. The text engages the range of students' preferences and aesthetics through a corresponding variety of interesting mathematical content from graphs, groups, and epsilondelta calculus. Each topic is accessible to users without a background in abstract mathematics because the concepts arise from asking questions about everyday experience. All the common proof structures emerge as natural solutions to authentic needs. Distilling Ideas or any subset of its chapters is an ideal resource either for an organized Inquiry Based Learning course or for individual study.

Table of Contents

Chapters

Chapter 1. Introduction

Chapter 2. Graphs

Chapter 3. Groups

Chapter 4. Calculus

Chapter 5. Conclusion


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Mathematics is not a spectator sport; successful students of mathematics grapple with ideas for themselves. Distilling Ideas presents a carefully designed sequence of exercises and theorem statements that challenge students to create proofs and concepts. As students meet these challenges, they discover strategies of proofs and strategies of thinking beyond mathematics. In other words, Distilling Ideas helps its users to develop the skills, attitudes, and habits of mind of a mathematician, and to enjoy the process of distilling and exploring ideas. Distilling Ideas is an ideal textbook for a first proofbased course. The text engages the range of students' preferences and aesthetics through a corresponding variety of interesting mathematical content from graphs, groups, and epsilondelta calculus. Each topic is accessible to users without a background in abstract mathematics because the concepts arise from asking questions about everyday experience. All the common proof structures emerge as natural solutions to authentic needs. Distilling Ideas or any subset of its chapters is an ideal resource either for an organized Inquiry Based Learning course or for individual study.

Chapters

Chapter 1. Introduction

Chapter 2. Graphs

Chapter 3. Groups

Chapter 4. Calculus

Chapter 5. Conclusion