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Lessons in Geometry: I. Plane Geometry

A co-publication of the AMS and Education Development Center
Available Formats:
Hardcover ISBN: 978-0-8218-4367-3
Product Code: MBK/57
330 pp
List Price: $69.00 MAA Member Price:$62.10
AMS Member Price: $55.20 Electronic ISBN: 978-1-4704-1203-6 Product Code: MBK/57.E 330 pp List Price:$65.00
MAA Member Price: $58.50 AMS Member Price:$52.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $103.50 MAA Member Price:$93.15
AMS Member Price: $82.80 Click above image for expanded view Lessons in Geometry: I. Plane Geometry A co-publication of the AMS and Education Development Center Available Formats:  Hardcover ISBN: 978-0-8218-4367-3 Product Code: MBK/57 330 pp  List Price:$69.00 MAA Member Price: $62.10 AMS Member Price:$55.20
 Electronic ISBN: 978-1-4704-1203-6 Product Code: MBK/57.E 330 pp
 List Price: $65.00 MAA Member Price:$58.50 AMS Member Price: $52.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$103.50
MAA Member Price: $93.15 AMS Member Price:$82.80
• Book Details

2008
MSC: Primary 01; 51;

This is a book in the tradition of Euclidean synthetic geometry written by one of the twentieth century's great mathematicians. The original audience was pre-college teachers, but it is useful as well to gifted high school students and college students, in particular, to mathematics majors interested in geometry from a more advanced standpoint.

The text starts where Euclid starts, and covers all the basics of plane Euclidean geometry. But this text does much more. It is at once pleasingly classic and surprisingly modern. The problems (more than 450 of them) are well-suited to exploration using the modern tools of dynamic geometry software. For this reason, the present edition includes a CD of dynamic solutions to select problems, created using Texas Instruments' TI-Nspire™ Learning Software. The TI-Nspire™ documents demonstrate connections among problems and—through the free trial software included on the CD—will allow the reader to explore and interact with Hadamard's Geometry in new ways. The material also includes introductions to several advanced topics. The exposition is spare, giving only the minimal background needed for a student to explore these topics. Much of the value of the book lies in the problems, whose solutions open worlds to the engaged reader.

And so this book is in the Socratic tradition, as well as the Euclidean, in that it demands of the reader both engagement and interaction. A forthcoming companion volume that includes solutions, extensions, and classroom activities related to the problems can only begin to open the treasures offered by this work. We are just fortunate that one of the greatest mathematical minds of recent times has made this effort to show to readers some of the opportunities that the intellectual tradition of Euclidean geometry has to offer.

Readership

Undergraduate students and professors interested in Euclidean geometry.

• Table of Contents

• Chapters
• Introduction
• Book I. On the straight line
• Book II. On the circle
• Book III. On similarity
• Complements to book III
• Book IV. On areas
• Note A. On the methods of geometry
• Note B. On Euclid’s postulate
• Note C. On the problem of tangent circles
• Note D. On the notion of area
• Miscellaneous problems and problems proposed in various contests
• Appendix. Malfatti’s problem
• Additional Material

• Reviews

• Overall, this is a fascinating book in which to dabble, with much elegance, and much that will inspire the reader. It is recommended to all readers from graduate students up.

Mathematical Reviews
• Hadamard's prose is clean and clear, focused and without frills.

MAA Reviews
• Request Exam/Desk Copy
• Request Review Copy
2008
MSC: Primary 01; 51;

This is a book in the tradition of Euclidean synthetic geometry written by one of the twentieth century's great mathematicians. The original audience was pre-college teachers, but it is useful as well to gifted high school students and college students, in particular, to mathematics majors interested in geometry from a more advanced standpoint.

The text starts where Euclid starts, and covers all the basics of plane Euclidean geometry. But this text does much more. It is at once pleasingly classic and surprisingly modern. The problems (more than 450 of them) are well-suited to exploration using the modern tools of dynamic geometry software. For this reason, the present edition includes a CD of dynamic solutions to select problems, created using Texas Instruments' TI-Nspire™ Learning Software. The TI-Nspire™ documents demonstrate connections among problems and—through the free trial software included on the CD—will allow the reader to explore and interact with Hadamard's Geometry in new ways. The material also includes introductions to several advanced topics. The exposition is spare, giving only the minimal background needed for a student to explore these topics. Much of the value of the book lies in the problems, whose solutions open worlds to the engaged reader.

And so this book is in the Socratic tradition, as well as the Euclidean, in that it demands of the reader both engagement and interaction. A forthcoming companion volume that includes solutions, extensions, and classroom activities related to the problems can only begin to open the treasures offered by this work. We are just fortunate that one of the greatest mathematical minds of recent times has made this effort to show to readers some of the opportunities that the intellectual tradition of Euclidean geometry has to offer.

Readership

Undergraduate students and professors interested in Euclidean geometry.

• Chapters
• Introduction
• Book I. On the straight line
• Book II. On the circle
• Book III. On similarity
• Complements to book III
• Book IV. On areas
• Note A. On the methods of geometry
• Note B. On Euclid’s postulate
• Note C. On the problem of tangent circles
• Note D. On the notion of area
• Miscellaneous problems and problems proposed in various contests
• Appendix. Malfatti’s problem
• Overall, this is a fascinating book in which to dabble, with much elegance, and much that will inspire the reader. It is recommended to all readers from graduate students up.

Mathematical Reviews
• Hadamard's prose is clean and clear, focused and without frills.

MAA Reviews
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