Math Without Numbers

Math Without Numbers by Milo Beckman offers a wonderfully refreshing and innovative exploration of abstract mathematics, suited for both those new to the subject and seasoned enthusiasts. Breaking away from the conventional, often intimidating, number-centric approach, Beckman skilfully guides readers through the realms of topology, analysis, and algebra using rich illustrations and an engaging narrative style. The book is devoid of numerical equations, ensuring that it remains accessible while still profoundly enlightening.

Beckman starts by introducing the reader to the exciting world of topology, the branch of mathematics concerned with the properties of space that are preserved under continuous transformations. With creative examples and wit, he demystifies concepts such as shape and dimension, making them approachable topics for everyone.

Next, the book delves into analysis, exploring the infinite and the infinitesimal. Through intuitive explanations, Beckman helps readers grasp these perplexing ideas that lie at the heart of calculus and much of modern mathematics.

The journey concludes with a foray into algebra, where symmetries and proofs take centre stage. Beckman’s conversational tone makes these abstract ideas tangible, letting readers appreciate the elegance and interconnectedness of mathematical truths.

Throughout Math Without Numbers, Beckman challenges our traditional perceptions of maths, asking thought-provoking questions like: How many shapes are there? Is anything bigger than infinity? And can mathematics be described as 'true'? Each chapter invites readers to consider these big ideas, blending humour, philosophy, and mathematical concepts to create a vivid tapestry of abstract thought.

Whether you are a curious novice or an experienced mathematician, Math Without Numbers promises a delightful intellectual journey that proves mathematics can be not only comprehensible but also profoundly enjoyable without the burden of numbers.