eShop USA > Books > The Four Pillars of Geometry (Undergraduate Texts in Mathematics)
The Four Pillars of Geometry (Undergraduate Texts in Mathematics)
List Price: $49.95Our Price: $39.96 You Save: $9.99 (20%)Prices subject to change.
Availability: Usually ships in 24 hours
Binding: Hardcover
Dewey Decimal Number: 516
EAN: 9780387255309
Edition: 1
ISBN: 0387255303
Label: Springer
Manufacturer: Springer
Number Of Items: 1
Number Of Pages: 229
Publication Date: August 09, 2005
Publisher: Springer
Studio: Springer
Accessories:
Related Items: Featured Listmania!
Editorial Review:This new 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.
Customer Reviews
Average Rating: 
Rating:  - Fine for School
This is a fine book for learning Euclidean and non-Euclidean geometry. Fairly clear. I wish it had more examples.
Rating:  - Makes the connections, simply, readably
This text makes the connections simply, readably among various interrelated branches of mathematics including geometry (four of them), trig, group theory, complex variables, and linear algebra. Recommended for every high school mathematics instructor.
Rating: - A textbook for that geometry course you wish existed
This nice book contains many things that every mathematics student should know (but don't). Chapters 1-2 are on Euclid. The main ideas are picked out very nicely, in welcome contrast to the usual "let ABCD..."-style books. Chapters 3-4 on linear algebra in geometry will probably be skimmed by most readers. This is perhaps just as well, since it consists of little more than the pearls from the usual linear algebra course and since the presentation feels somewhat forced (e.g., things like the inner ... Read More
Related Categories:
Recently viewed PC Hardware:
HP Pavilion DV6660SE 15.4-inch Entertainment Laptop (AMD Athlon 64 Processor TK-58, 2 GB RAM, 250 GB Hard Drive, Vista Premium)
|
Sony VAIO VGN-CR415E/B 14.1-inch Laptop (1.83 GHz Intel Core 2 Duo T5550 Processor, 3 GB RAM, 200 GB Hard Drive, DVD Drive, Vista Premium) Black
|
Samsung SyncMaster 214T 21.3-Inch LCD Monitor (Black)
|
Sony VAIO VGC-RC210G Desktop PC(Intel Pentium D Processor 930, 1 GB RAM, 320 GB Hard Drive, DVD+R Double Layer /DVD+/-RW Drive)
|
Samsung 244T-Silver 24" LCD Monitor
|
| |
 |
