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"Conway and Smith’s book is a wonderful introduction to the normed division algebras … They develop these number systems from scratch, explore their connections to geometry, and even study number theory in quaternionic and octonionic versions of the integers. … a lucid and elegant introduction. … remarkably self-contained. It assumes no knowledge of number theory, string theory, Lie theory, or lower-case Gothic letters."—John C. Baez, Bulletin of the American Mathematical Society, January 2005
"A resonant spike above background noise in one parameter as another parameter is varied is a frequent indicator…"—Geoffrey Dixon, Mathematical Intelligencer, May 2004
"Those readers who are fascinated by the links between geometry and groups will find that this book gives them new insights."—Hugh Williams, The Mathematical Gazette, July 2004
"This is a beautiful and fascinating book on the geometry and arithmetic of the quaternion algebra and the octonion algebra. … most intriguing to read: it is an excellent exposition of very attractive topics, and it contains several new and significant results."—Theo Grundhöfer, Mathematical Reviews, 2003

On Quaternions and Octonions

Practical Tools to Help You Deal with Life's Challenges

Managing Worry and Anxiety

World's Greatest Word Game

Birthday Party Mad Libs

The Evidence of Local Documents and Poll Books

How Bedfordshire Voted, 1735-1784

Who Is Simone Biles?

7 Ways to Find Calm in the Chaos

Still

Understanding the Social Lives of Children

Best Friends, Worst Enemies

Dictionnaire De Médecine: Ou, Répertoire Général Des Sciences Médicales Considérées Sous Le Rapport Théorique Et Pratique; Volume 9

Being an Expose of the Secret Rites and Ceremonies of the Latter Day Saints (LARGE PRINT EDITION)

Life in Utah or The Mysteries and Crimes of Mormonism

Blues in the Night

Finde mit Naturkräften Stabilität, Schutz und Erdung

Energetische Selbstfürsorge

Der Tag mit Papa

Sharpen Your Lessons, Season Your Classes, and Make Math Meaningful

The Classroom Chef

Jimmy

Addressing Our Conflicted Generation

The Baby Boom Prophet

Must Know High School Computer Programming

Poultry Fattening

A Roadmap for Urban Transformation

Implementing Data-Driven Strategies in Smart Cities

Joining in God's Mission

Every Believer a Disciple!

El Sagrado Corazón de Jesús

Eine zeitgemäße Annäherung an einen verborgenen Text

Den Koran entdecken

National Trust: Ben Plants a Butterfly Garden

Stories From the Thousand and One Nights

Localized Corrosion in Complex Environments

Ein homöopathischer und naturheilkundlicher Ratgeber

Angst bei Katzen behandeln mit Homöopathie und Schüsslersalzen

Aquatic Environment Management

The History of Troilus and Cressida

Gordon Smith is down to earth about his heavenly talents.

The case for supernatural phenomena in the modern world, with a foreword by Maria Ahern, a leading barrister

Erkelenz Impressionen (Wandkalender 2026 DIN A3 quer), CALVENDO Monatskalender

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