A Gyrovector Space Approach to Hyperbolic Geometry (Synthesis Lectures on Mathematics and Statistics)

4 avg rating
( 1 ratings by Goodreads )
 
9781598298222: A Gyrovector Space Approach to Hyperbolic Geometry (Synthesis Lectures on Mathematics and Statistics)
View all copies of this ISBN edition:
 
 

The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. These novel analogies that this book captures stem from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Remarkably, the mere introduction of Thomas gyration turns Euclidean geometry into hyperbolic geometry, and reveals mystique analogies that the two geometries share. Accordingly, Thomas gyration gives rise to the prefix "gyro" that is extensively used in the gyrolanguage of this book, giving rise to terms like gyrocommutative and gyroassociative binary operations in gyrogroups, and gyrovectors in gyrovector spaces. Of particular importance is the introduction of gyrovectors into hyperbolic geometry, where they are equivalence classes that add according to the gyroparallelogram law in full analogy with vectors, which are equivalence classes that add according to the parallelogram law. A gyroparallelogram, in turn, is a gyroquadrilateral the two gyrodiagonals of which intersect at their gyromidpoints in full analogy with a parallelogram, which is a quadrilateral the two diagonals of which intersect at their midpoints. Table of Contents: Gyrogroups / Gyrocommutative Gyrogroups / Gyrovector Spaces / Gyrotrigonometry

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

Top Search Results from the AbeBooks Marketplace

1.

Ungar, Abraham A.
Published by Morgan and Claypool Publishers (2008)
ISBN 10: 1598298224 ISBN 13: 9781598298222
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Morgan and Claypool Publishers, 2008. PAP. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9781598298222

More information about this seller | Contact this seller

Buy New
US$ 39.54
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

2.

Abraham Ungar
Published by Morgan Claypool Publishers, United States (2009)
ISBN 10: 1598298224 ISBN 13: 9781598298222
New Paperback Quantity Available: 1
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description Morgan Claypool Publishers, United States, 2009. Paperback. Condition: New. Language: English . Brand New Book. The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. These novel analogies that this book captures stem from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Remarkably, the mere introduction of Thomas gyration turns Euclidean geometry into hyperbolic geometry, and reveals mystique analogies that the two geometries share. Accordingly, Thomas gyration gives rise to the prefix gyro that is extensively used in the gyrolanguage of this book, giving rise to terms like gyrocommutative and gyroassociative binary operations in gyrogroups, and gyrovectors in gyrovector spaces. Of particular importance is the introduction of gyrovectors into hyperbolic geometry, where they are equivalence classes that add according to the gyroparallelogram law in full analogy with vectors, which are equivalence classes that add according to the parallelogram law. A gyroparallelogram, in turn, is a gyroquadrilateral the two gyrodiagonals of which intersect at their gyromidpoints in full analogy with a parallelogram, which is a quadrilateral the two diagonals of which intersect at their midpoints. Seller Inventory # AAN9781598298222

More information about this seller | Contact this seller

Buy New
US$ 49.46
Convert currency

Add to Basket

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

3.

Abraham Ungar
Published by Morgan Claypool Publishers, United States (2009)
ISBN 10: 1598298224 ISBN 13: 9781598298222
New Paperback Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Morgan Claypool Publishers, United States, 2009. Paperback. Condition: New. Language: English . Brand New Book. The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. These novel analogies that this book captures stem from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Remarkably, the mere introduction of Thomas gyration turns Euclidean geometry into hyperbolic geometry, and reveals mystique analogies that the two geometries share. Accordingly, Thomas gyration gives rise to the prefix gyro that is extensively used in the gyrolanguage of this book, giving rise to terms like gyrocommutative and gyroassociative binary operations in gyrogroups, and gyrovectors in gyrovector spaces. Of particular importance is the introduction of gyrovectors into hyperbolic geometry, where they are equivalence classes that add according to the gyroparallelogram law in full analogy with vectors, which are equivalence classes that add according to the parallelogram law. A gyroparallelogram, in turn, is a gyroquadrilateral the two gyrodiagonals of which intersect at their gyromidpoints in full analogy with a parallelogram, which is a quadrilateral the two diagonals of which intersect at their midpoints. Seller Inventory # AAN9781598298222

More information about this seller | Contact this seller

Buy New
US$ 50.36
Convert currency

Add to Basket

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

4.

Ungar, Abraham A.
Published by Morgan & Claypool 1/15/2009 (2009)
ISBN 10: 1598298224 ISBN 13: 9781598298222
New Paperback or Softback Quantity Available: 10
Seller:
BargainBookStores
(Grand Rapids, MI, U.S.A.)
Rating
[?]

Book Description Morgan & Claypool 1/15/2009, 2009. Paperback or Softback. Condition: New. A Gyrovector Space Approach to Hyperbolic Geometry. Book. Seller Inventory # BBS-9781598298222

More information about this seller | Contact this seller

Buy New
US$ 51.78
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

5.

Abraham Ungar
ISBN 10: 1598298224 ISBN 13: 9781598298222
New Quantity Available: 5
Seller:
ReadWhiz
(Portland, OR, U.S.A.)
Rating
[?]

Book Description Condition: New. Seller Inventory # ria9781598298222_ing

More information about this seller | Contact this seller

Buy New
US$ 52.39
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

6.

Ungar, Abraham
Published by Morgan and Claypool Publishers (2018)
ISBN 10: 1598298224 ISBN 13: 9781598298222
New Paperback Quantity Available: > 20
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Morgan and Claypool Publishers, 2018. Paperback. Condition: New. Never used! This item is printed on demand. Seller Inventory # 1598298224

More information about this seller | Contact this seller

Buy New
US$ 53.39
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

7.

Abraham Ungar
Published by Morgan & Claypool Publishers
ISBN 10: 1598298224 ISBN 13: 9781598298222
New Paperback Quantity Available: 6
Seller:
THE SAINT BOOKSTORE
(Southport, United Kingdom)
Rating
[?]

Book Description Morgan & Claypool Publishers. Paperback. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9781598298222

More information about this seller | Contact this seller

Buy New
US$ 46.11
Convert currency

Add to Basket

Shipping: US$ 9.08
From United Kingdom to U.S.A.
Destination, rates & speeds

8.

Ungar, Abraham A.
Published by Morgan and Claypool Publishers (2008)
ISBN 10: 1598298224 ISBN 13: 9781598298222
New Quantity Available: 6
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Morgan and Claypool Publishers, 2008. PAP. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # CE-9781598298222

More information about this seller | Contact this seller

Buy New
US$ 43.68
Convert currency

Add to Basket

Shipping: US$ 11.77
From United Kingdom to U.S.A.
Destination, rates & speeds

9.

Abraham Ungar
Published by Morgan Claypool Publishers, United States (2009)
ISBN 10: 1598298224 ISBN 13: 9781598298222
New Paperback Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Morgan Claypool Publishers, United States, 2009. Paperback. Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. These novel analogies that this book captures stem from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Remarkably, the mere introduction of Thomas gyration turns Euclidean geometry into hyperbolic geometry, and reveals mystique analogies that the two geometries share. Accordingly, Thomas gyration gives rise to the prefix gyro that is extensively used in the gyrolanguage of this book, giving rise to terms like gyrocommutative and gyroassociative binary operations in gyrogroups, and gyrovectors in gyrovector spaces. Of particular importance is the introduction of gyrovectors into hyperbolic geometry, where they are equivalence classes that add according to the gyroparallelogram law in full analogy with vectors, which are equivalence classes that add according to the parallelogram law. A gyroparallelogram, in turn, is a gyroquadrilateral the two gyrodiagonals of which intersect at their gyromidpoints in full analogy with a parallelogram, which is a quadrilateral the two diagonals of which intersect at their midpoints. Seller Inventory # LIE9781598298222

More information about this seller | Contact this seller

Buy New
US$ 56.14
Convert currency

Add to Basket

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

10.

Ungar, Abraham
Published by Morgan and Claypool Publishers (2009)
ISBN 10: 1598298224 ISBN 13: 9781598298222
New Paperback Quantity Available: 10
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Morgan and Claypool Publishers, 2009. Paperback. Condition: New. Seller Inventory # INGM9781598298222

More information about this seller | Contact this seller

Buy New
US$ 55.13
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

There are more copies of this book

View all search results for this book