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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Two, Three, Four, and More: The Mathematically Special Dimensions

Two, Three, Four, and More: The Mathematically Special Dimensions

Stillwell, John

Hardcover

AlgebraGeneral Mathematics

PREORDER - Expected ship date July 27, 2027

ISBN10: 0691296421
ISBN13: 9780691296425
Publisher: Princeton University Press
Published: Jul 27 2027
Pages: 456
Language: English

A beautifully illustrated exploration of the remarkable world of mathematics in low dimensions

Highly valued results in mathematics are often general: proofs in all dimensions, solutions for all degrees of polynomials. Yet great richness can be found in particular cases. John Stillwell presents a visual panorama of the multitudes that live in dimensions 2, 3, and 4--and a few higher dimensions--through the interplay of geometry, topology, and algebra.

We tend to think of the dimensions 2, 3, and 4 as the dimensions of our physical experience in space and time, but they are also of exceptional mathematical interest. Together with the degrees 2, 3, and 4 of equations, they cover some of the most remarkable mathematical objects and pose problems ranging from easy, to hard, to unsolvable. Each chapter of this engaging book focuses on a dimension or degree, starting at 2 dimensions and ascending to 4 dimensions and then beyond to objects such as the Leech lattice in 24 dimensions. The gradual increase in dimension reveals what is gained and what is lost with a bit more space to work in. Along the way, Stillwell brings the mathematics to life through rich examples, engaging historical context, and vivid anecdotes about the mathematicians who uncovered surprising solutions--or revealed why some problems can't be solved.

With hundreds of illustrations, Two, Three, Four, and More is an illuminating mathematical tour by one of the discipline's leading expositors, revealing how these intriguing special cases underpin some of the deepest ideas in mathematics.

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