Items related to Geometry: A Metric Approach with Models (Undergraduate...

Geometry: A Metric Approach with Models (Undergraduate Texts in Mathematics) - Softcover

 
9781468401325: Geometry: A Metric Approach with Models (Undergraduate Texts in Mathematics)

Synopsis

This book is intended as a first rigorous course in geometry. As the title indicates, we have adopted Birkhoff's metric approach (i.e., through use of real numbers) rather than Hilbert's synthetic approach to the subject. Throughout the text we illustrate the various axioms, definitions, and theorems with models ranging from the familiar Cartesian plane to the Poincare upper half plane, the Taxicab plane, and the Moulton plane. We hope that through an intimate acquaintance with examples (and a model is just an example), the reader will obtain a real feeling and intuition for non­ Euclidean (and in particular, hyperbolic) geometry. From a pedagogical viewpoint this approach has the advantage of reducing the reader's tendency to reason from a picture. In addition, our students have found the strange new world of the non-Euclidean geometries both interesting and exciting. Our basic approach is to introduce and develop the various axioms slowly, and then, in a departure from other texts, illustrate major definitions and axioms with two or three models. This has the twin advantages of showing the richness of the concept being discussed and of enabling the reader to picture the idea more clearly. Furthermore, encountering models which do not satisfy the axiom being introduced or the hypothesis of the theorem being proved often sheds more light on the relevant concept than a myriad of cases which do.

"synopsis" may belong to another edition of this title.

  • PublisherSpringer
  • Publication date2012
  • ISBN 10 1468401327
  • ISBN 13 9781468401325
  • BindingPaperback
  • LanguageEnglish
  • Number of pages372

Buy New

View this item

£ 2.49 shipping within United Kingdom

Destination, rates & speeds

Other Popular Editions of the Same Title

Search results for Geometry: A Metric Approach with Models (Undergraduate...

Stock Image

Millman, R.S.
Published by Springer 2012-01, 2012
ISBN 10: 1468401327 ISBN 13: 9781468401325
New PF

Seller: Chiron Media, Wallingford, United Kingdom

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

PF. Condition: New. Seller Inventory # 6666-IUK-9781468401325

Contact seller

Buy New

£ 48.26
Convert currency
Shipping: £ 2.49
Within United Kingdom
Destination, rates & speeds

Quantity: 10 available

Add to basket

Stock Image

Millman, R S; Parker, G D
Published by Springer, 2012
ISBN 10: 1468401327 ISBN 13: 9781468401325
New Softcover

Seller: Ria Christie Collections, Uxbridge, United Kingdom

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: New. In. Seller Inventory # ria9781468401325_new

Contact seller

Buy New

£ 50.82
Convert currency
Shipping: FREE
Within United Kingdom
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Stock Image

Millman, R S; Parker, G D
Published by Springer Nature B.V., 2012
ISBN 10: 1468401327 ISBN 13: 9781468401325
New PAP
Print on Demand

Seller: PBShop.store UK, Fairford, GLOS, United Kingdom

Seller rating 4 out of 5 stars 4-star rating, Learn more about seller ratings

PAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L0-9781468401325

Contact seller

Buy New

£ 51.46
Convert currency
Shipping: FREE
Within United Kingdom
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Stock Image

R S Millman
Published by Springer, 2012
ISBN 10: 1468401327 ISBN 13: 9781468401325
New Paperback / softback
Print on Demand

Seller: THE SAINT BOOKSTORE, Southport, United Kingdom

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 156. Seller Inventory # C9781468401325

Contact seller

Buy New

£ 56.09
Convert currency
Shipping: FREE
Within United Kingdom
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Stock Image

Millman, R S; Parker, G D
Published by Springer Nature B.V., 2012
ISBN 10: 1468401327 ISBN 13: 9781468401325
New PAP
Print on Demand

Seller: PBShop.store US, Wood Dale, IL, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

PAP. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L0-9781468401325

Contact seller

Buy New

£ 56.67
Convert currency
Shipping: FREE
From U.S.A. to United Kingdom
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Stock Image

Millman, R S; Parker, G D
Published by Springer, 2012
ISBN 10: 1468401327 ISBN 13: 9781468401325
New Softcover

Seller: California Books, Miami, FL, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: New. Seller Inventory # I-9781468401325

Contact seller

Buy New

£ 51.67
Convert currency
Shipping: £ 7.38
From U.S.A. to United Kingdom
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Seller Image

Millman, R. S.|Parker, G. D.
Published by SPRINGER NATURE, 2012
ISBN 10: 1468401327 ISBN 13: 9781468401325
New Softcover

Seller: moluna, Greven, Germany

Seller rating 4 out of 5 stars 4-star rating, Learn more about seller ratings

Condition: New. Seller Inventory # 902984848

Contact seller

Buy New

£ 58.59
Convert currency
Shipping: £ 21.07
From Germany to United Kingdom
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Stock Image

Millman, R S; Parker, G D
Published by Springer, 2012
ISBN 10: 1468401327 ISBN 13: 9781468401325
New Softcover

Seller: Lucky's Textbooks, Dallas, TX, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: New. Seller Inventory # ABLING22Oct2817100025352

Contact seller

Buy New

£ 48.63
Convert currency
Shipping: £ 55.33
From U.S.A. to United Kingdom
Destination, rates & speeds

Quantity: Over 20 available

Add to basket