New Horizons in Geometry (Dolciani Mathematical Expositions)

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9780883853542: New Horizons in Geometry (Dolciani Mathematical Expositions)

New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors Tom Apostol and Mamikon Mnatsakanian. It serves as a capstone to an amazing collaboration. Apostol and Mamikon provide fresh and powerful insights into geometry that requires only a modest background in mathematics. Using new and intuitively rich methods, they give beautifully illustrated proofs of results, the majority of which are new, and frequently develop extensions of familiar theorems that are often surprising and sometimes astounding. It is mathematical exposition of the highest order.

The hundreds of full color illustrations by Mamikon are visually enticing and provide great motivation to read further and savor the wonderful results. Lengths, areas, and volumes of curves, surfaces, and solids are explored from a visually captivating perspective. It is an understatement to say that Apostol and Mamikon have breathed new life into geometry.

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Book Description:

This volume represents a striking collection of results that reveal surprising connections between lengths, areas and volumes in various geometric figures. The exposition, enhanced throughout with beautiful illustrations, is original and lucid with an emphasis on dynamic visual thinking. Recommended for any student or teacher of geometry and calculus.

About the Author:

Tom Apostol is an Emeritus Professor of Mathematics at the California Institute of Technology.

Mamikon Mnatsakanian is Project Associate at 'Project Mathematics!' at the California Institute of Technology.

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Tom M. Apostol, Mamikon A. Mnatsakanian
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Book Description Mathematical Association of America, United States, 2013. Hardback. Book Condition: New. UK ed.. Language: English . Brand New Book. The collaborative work of Tom Apostol and Mamikon Mnatsakanian has been lauded for its clarity and originality. In this volume the authors present an impressive collection of geometric results that reveal surprising connections between lengths, areas and volumes in various shapes, and allow one to compute difficult integrals, all using intuitive visual calculations. One noteworthy idea that the reader will encounter is Mamikon s Sweeping Tangent Theorem from which the authors obtain a visual derivation of the property that the length of an arc of a catenary is proportional to the area under the arc. This is one of many proofs without words contained within. In addition, a variety of results are derived visually for cycloids, conic sections, and many more geometric objects. As befits a book that emphasises visual thinking, the text is beautifully illustrated. This is a book that will inspire students and enrich any geometry or calculus course. Bookseller Inventory # AAA9780883853542

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Book Description Mathematical Association of America, United States, 2013. Hardback. Book Condition: New. UK ed.. Language: English . Brand New Book. The collaborative work of Tom Apostol and Mamikon Mnatsakanian has been lauded for its clarity and originality. In this volume the authors present an impressive collection of geometric results that reveal surprising connections between lengths, areas and volumes in various shapes, and allow one to compute difficult integrals, all using intuitive visual calculations. One noteworthy idea that the reader will encounter is Mamikon s Sweeping Tangent Theorem from which the authors obtain a visual derivation of the property that the length of an arc of a catenary is proportional to the area under the arc. This is one of many proofs without words contained within. In addition, a variety of results are derived visually for cycloids, conic sections, and many more geometric objects. As befits a book that emphasises visual thinking, the text is beautifully illustrated. This is a book that will inspire students and enrich any geometry or calculus course. Bookseller Inventory # AAA9780883853542

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Book Description Cambridge University Press Jun 2013, 2013. Buch. Book Condition: Neu. Neuware - A beautifully illustrated collection of striking and original results in geometry. Recommended for students and teachers of geometry and calculus. Englisch. Bookseller Inventory # 9780883853542

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Book Description Book Condition: New. The collaborative work of Tom Apostol and Mamikon Mnatsakanian has been lauded for its clarity and originality. In this volume the authors present an impressive collection of geometric results that r.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 526 pages. 1.634. Bookseller Inventory # 9780883853542

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