This is a text of local differential geometry considered as an application of advanced calculus and linear algebra. The discussion is designed for advanced undergraduate or beginning graduate study, and presumes of readers only a fair knowledge of matrix algebra and of advanced calculus of functions of several real variables.

The author, who is a Professor of Mathematics at the Polytechnic Institute of New York, begins with a discussion of plane geometry and then treats the local theory of Lie groups and transformation groups, solid differential geometry, and Riemannian geometry, leading to a general theory of connections.

The author presents a full development of the Erlangen Program in the foundations of geometry as used by Elie Cartan as a basis of modern differential geometry; the book can serve as an introduction to the methods of E. Cartan. The theory is applied to give a complete development of affine differential geometry in two and three dimensions.

Although the text deals only with local problems (except for global problems that can be treated by methods of advanced calculus), the definitions have been formulated so as to be applicable to modern global differential geometry. The algebraic development of tensors is equally accessible to physicists and to pure mathematicians. The wealth of specific resutls and the replacement of most tensor calculations by linear algebra makes the book attractive to users of mathematics in other disciplines.

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

Published by
Dover Publishers

ISBN 10: 0486634337
ISBN 13: 9780486634333

New
Quantity Available: > 20

Seller:

Rating

**Book Description **Dover Publishers. Condition: New. Brand New. Seller Inventory # 0486634337

ISBN 10: 0486634337
ISBN 13: 9780486634333

New
Quantity Available: 3

Seller:

Rating

**Book Description **1977. PAP. Condition: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Seller Inventory # IB-9780486634333

Published by
Dover Publications

ISBN 10: 0486634337
ISBN 13: 9780486634333

New
PAPERBACK
Quantity Available: 1

Seller:

Rating

**Book Description **Dover Publications. PAPERBACK. Condition: New. 0486634337. Seller Inventory # Z0486634337ZN

Published by
Dover Publications

ISBN 10: 0486634337
ISBN 13: 9780486634333

New
PAPERBACK
Quantity Available: > 20

Seller:

Rating

**Book Description **Dover Publications. PAPERBACK. Condition: New. 0486634337 *BRAND NEW* Ships Same Day or Next!. Seller Inventory # NATARAJB1FI999565

Published by
Dover Publications
(1977)

ISBN 10: 0486634337
ISBN 13: 9780486634333

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **Dover Publications, 1977. Paperback. Condition: New. Never used!. Seller Inventory # 0486634337

Published by
Dover Publications Inc., United States
(1977)

ISBN 10: 0486634337
ISBN 13: 9780486634333

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **Dover Publications Inc., United States, 1977. Paperback. Condition: New. Language: English . Brand New Book. This is a text of local differential geometry considered as an application of advanced calculus and linear algebra. The discussion is designed for advanced undergraduate or beginning graduate study, and presumes of readers only a fair knowledge of matrix algebra and of advanced calculus of functions of several real variables. The author, who is a Professor of Mathematics at the Polytechnic Institute of New York, begins with a discussion of plane geometry and then treats the local theory of Lie groups and transformation groups, solid differential geometry, and Riemannian geometry, leading to a general theory of connections. The author presents a full development of the Erlangen Program in the foundations of geometry as used by Elie Cartan as a basis of modern differential geometry; the book can serve as an introduction to the methods of E. Cartan. The theory is applied to give a complete development of affine differential geometry in two and three dimensions. Although the text deals only with local problems (except for global problems that can be treated by methods of advanced calculus), the definitions have been formulated so as to be applicable to modern global differential geometry. The algebraic development of tensors is equally accessible to physicists and to pure mathematicians. The wealth of specific resutls and the replacement of most tensor calculations by linear algebra makes the book attractive to users of mathematics in other disciplines. Seller Inventory # AAC9780486634333

Published by
Dover Publications Inc., United States
(1977)

ISBN 10: 0486634337
ISBN 13: 9780486634333

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **Dover Publications Inc., United States, 1977. Paperback. Condition: New. Language: English . Brand New Book. This is a text of local differential geometry considered as an application of advanced calculus and linear algebra. The discussion is designed for advanced undergraduate or beginning graduate study, and presumes of readers only a fair knowledge of matrix algebra and of advanced calculus of functions of several real variables. The author, who is a Professor of Mathematics at the Polytechnic Institute of New York, begins with a discussion of plane geometry and then treats the local theory of Lie groups and transformation groups, solid differential geometry, and Riemannian geometry, leading to a general theory of connections. The author presents a full development of the Erlangen Program in the foundations of geometry as used by Elie Cartan as a basis of modern differential geometry; the book can serve as an introduction to the methods of E. Cartan. The theory is applied to give a complete development of affine differential geometry in two and three dimensions. Although the text deals only with local problems (except for global problems that can be treated by methods of advanced calculus), the definitions have been formulated so as to be applicable to modern global differential geometry. The algebraic development of tensors is equally accessible to physicists and to pure mathematicians. The wealth of specific resutls and the replacement of most tensor calculations by linear algebra makes the book attractive to users of mathematics in other disciplines. Seller Inventory # AAC9780486634333

ISBN 10: 0486634337
ISBN 13: 9780486634333

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **Paperback. Condition: New. Paperback. Designed for advanced undergraduate or beginning graduate study, this text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of g.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 378 pages. 0.422. Seller Inventory # 9780486634333

Published by
Dover Publications

ISBN 10: 0486634337
ISBN 13: 9780486634333

New
Paperback
Quantity Available: 2

Seller:

Rating

**Book Description **Dover Publications. Paperback. Condition: New. 378 pages. Dimensions: 8.0in. x 5.6in. x 0.9in.This is a text of local differential geometry considered as an application of advanced calculus and linear algebra. The discussion is designed for advanced undergraduate or beginning graduate study, and presumes of readers only a fair knowledge of matrix algebra and of advanced calculus of functions of several real variables. The author, who is a Professor of Mathematics at the Polytechnic Institute of New York, begins with a discussion of plane geometry and then treats the local theory of Lie groups and transformation groups, solid differential geometry, and Riemannian geometry, leading to a general theory of connections. The author presents a full development of the Erlangen Program in the foundations of geometry as used by Elie Cartan as a basis of modern differential geometry; the book can serve as an introduction to the methods of E. Cartan. The theory is applied to give a complete development of affine differential geometry in two and three dimensions. Although the text deals only with local problems (except for global problems that can be treated by methods of advanced calculus), the definitions have been formulated so as to be applicable to modern global differential geometry. The algebraic development of tensors is equally accessible to physicists and to pure mathematicians. The wealth of specific resutls and the replacement of most tensor calculations by linear algebra makes the book attractive to users of mathematics in other disciplines. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9780486634333

Published by
Dover Publications Inc.

ISBN 10: 0486634337
ISBN 13: 9780486634333

New
Paperback
Quantity Available: 3

Seller:

Rating

**Book Description **Dover Publications Inc. Paperback. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9780486634333