Item type | Current location | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
Books | 516 STI (Browse shelf) | Available | 032245 |
516 SCH Geometry of Complex Numbers | 516 SIN Geometry : plane and fancy | 516 STA Geometry : from Euclid to knots | 516 STI Four pillars of geometry | 516 TAB Geometry and billiards | 516 TAB Numbers : computers, philosophers and the search for meaning | 516 TAB Geometry : the language of space and form |
Includes bibliographical references and index
"This textbook demonstrates that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Euclid style construction and axiomatics seem the best way to start, but linear algebra smooths the later stages by replacing some tortuous arguments by simple calculations. And how can one avoid projective geometry? It not only explains why objects look the way they do; it also explains why geometry is entangled with algebra. Finally, one needs to know that there is not one geometry, but many, and transformation groups are the best way to distinguish between them. In this book, two chapters are devoted to each approach, the first being concrete and introductory, while the second is more abstract. Geometry, of all subjects, should be about taking different viewpoints, and geometry is unique among mathematical disciplines in its ability to look different from different angles. Some students prefer to visualize, while others prefer to reason or to calculate. Geometry has something for everyone, and students will find themselves building on their strengths at times, and working to overcome weaknesses at other times. This book will be suitable for a second course in geometry and contains more than 100 figures and a large selection of exercises in each chapter."
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