2010;
243 pp;
Softcover

MSC: Primary 15; 51;

Print ISBN: 978-0-8218-4979-8

Product Code: MBK/75

List Price: $58.00

Individual Member Price: $46.40

**Electronic ISBN: 978-1-4704-1209-8
Product Code: MBK/75.E**

List Price: $58.00

Individual Member Price: $46.40

#### Supplemental Materials

# Mathematical Connections: A Capstone Course

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*John B. Conway*

This book illustrates connections between various courses taken by undergraduate mathematics majors. As such it can be used as a text for a capstone course. The chapters are essentially independent, and the instructor can choose the topics that will form the course and thus tailor the syllabus to suit the backgrounds and abilities of the students. At the end of such a course the graduating seniors should glimpse mathematics not as a series of independent courses but as something more like an integrated body of knowledge. The book has numerous exercises and examples so that the student has many opportunities to see the material illustrated and fleshed out.

#### Table of Contents

# Table of Contents

## Mathematical Connections: A Capstone Course

- Cover Cover11 free
- Title page iii4 free
- Contents vii8 free
- Preface xi12 free
- Trisecting angles 120 free
- Polyhedra 3756
- Hilbert spaces 6786
- The spectral theorem 87106
- Matrices and topology 117136
- Modules 143162
- Appendix 207226
- References 237256
- List of symbols 239258
- Subject index 241260
- Back Cover Back Cover1263

#### Readership

Undergraduate and graduate students interested in all areas of mathematics.

#### Reviews

[This book] is...a sourcebook to support many possible capstore courses (or supplement more traditional ones). Recommended.

`STML/56`

`MBK/48`

`STML/39`

[This book] is...a sourcebook to support many possible capstore courses (or supplement more traditional ones). Recommended.

`STML/56`

`MBK/48`

`STML/39`

-- D.V. Feldman, Choice