First Course in the Theory of Equations by Leonard E. Dickson

(8 User reviews)   5025
By Charlotte Girard Posted on Nov 15, 2025
In Category - Philosophy
Dickson, Leonard E. (Leonard Eugene), 1874-1954 Dickson, Leonard E. (Leonard Eugene), 1874-1954
English
So, I just finished this classic math book from 1922, and it's not what you'd expect. Forget dry equations and boring proofs. This is like finding the original recipe for something you've only ever eaten at a chain restaurant. Dickson doesn't just show you how to solve polynomial equations; he takes you backstage to see why the methods work, revealing the beautiful logic behind the symbols. It’s surprisingly direct and clear, written in a time before math textbooks got overly complicated. If you’ve ever been curious about where all those algebra rules actually come from, this short, focused book is a fascinating and satisfying deep dive into the foundations.
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small room looking out on a very uninteresting London street. It was about three o’clock on a November afternoon, that season of fogs and rains and mud, when towns-people long for fresh air and hillsides, and country-folk think wistfully of the warmth and lights of a city, when nobody is satisfied, and everybody has a cold. Outside the window of the room there were a few feet of earth adorned with a low bush or two, a line of railings, a stone-paved street, and on the other side a long row of uniform yellow brick houses. The apartment itself was a modest chamber, containing a minimum of rented furniture and a flickering gas-stove. By a small caseful of medical treatises and a conspicuous stethoscope, the least experienced could see that it was labelled consulting-room. Dr Twiddel was enjoying one of those moments of repose that occur even in the youngest practitioner’s existence. For the purposes of this narrative he may briefly be described as an amiable-looking young man, with a little bit of fair moustache and still less chin, no practice to speak of, and a considerable quantity of unpaid bills. A man of such features and in such circumstances invites temptation. At the present moment, though his waistcoat was unbuttoned and his feet rested on the mantelpiece, his mind seemed not quite at ease. He looked back upon a number of fortunate events that had not occurred, and forward to various unpleasant things that might occur, and then he took a letter from his pocket and read it abstractedly. “I can’t afford to refuse,” he reflected, lugubriously; “and yet, hang it! I must say I don’t fancy the job.” When metal is molten it can be poured into any vessel; and at that moment a certain deep receptacle stood on the very doorstep. The doctor heard the bell, sat up briskly, stuffed the letter back into his pocket, and buttoned his waistcoat. “A patient at last!” and instantly there arose a vision of a simple operation, a fabulous fee, and twelve sickly millionaires an hour ever after. The door opened, and a loud voice hailed him familiarly. “Only Welsh,” he sighed, and the vision went the way of all the others. The gentleman who swaggered in and clapped the doctor on the back, who next threw himself into the easiest chair and his hat and coat over the table, was in fact Mr Robert Welsh. From the moment he entered he pervaded the room; the stethoscope seemed to grow less conspicuous, Dr Twiddel’s chin more diminutive, the apartment itself a mere background to this guest. Why? It would be hard to say precisely. He was a black-moustached, full-faced man, with an air of the most consummate assurance, and a person by some deemed handsome. Yet somehow or other he inevitably recalled the uncles of history. Perhaps this assurance alone gave him his atmosphere. You could have felt his egotism in the dark. He talked in a loud voice and with a great air of mastery over all the contingencies of a life about town. You felt that here sat one who had seen the world and gave things their proper proportions, who had learned how meretricious was orthodoxy, and which bars could really be recommended. He chaffed, patronised, and cheered the doctor. Patients had been scarce, had they? Well, after all, there were many consolations. Did Twiddle say he was hard up? Welsh himself in an even more evil case. He narrated various unfortunate transactions connected with the turf and other pursuits, with regret, no doubt, and yet with...

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Let's be clear: this is not a novel. First Course in the Theory of Equations is a math textbook, originally published in 1922. But calling it just a textbook feels like an understatement. It's more of a masterclass in clarity. The 'story' here is the logical journey of understanding polynomial equations—the ones with x's raised to powers. Dickson starts with the basics you might remember, like factoring and quadratic equations, and systematically builds up to more complex ideas about the roots (or solutions) of these equations. He shows you the connections between the coefficients (the numbers in front of the x's) and the roots, and guides you through methods for finding them.

Why You Should Read It

You should read it for its sheer elegance. Dickson writes with a precision and economy of words that is almost artistic. There's no fluff, no distracting sidebars—just clean, logical progression. Reading it feels like having a brilliant, patient professor explain concepts one-on-one, focusing on the 'why' as much as the 'how.' It demystifies topics that often seem abstract. You finish a chapter and think, 'Oh, so that's why that trick works!' It’s intellectually satisfying in a way few modern textbooks achieve.

Final Verdict

This book is perfect for a specific reader: the curious student, the lifelong learner, or the professional who uses algebra and wants a deeper, foundational understanding. It's for anyone tired of formulaic math instruction and hungry to see the elegant structure underneath. It’s not for absolute beginners, but for someone with a bit of high school algebra under their belt, it’s a revelation. Think of it as the concise, classic guide to the grammar of algebra.



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Patricia Davis
6 months ago

Enjoyed every page.

Charles Gonzalez
2 months ago

Having read this twice, the arguments are well-supported by credible references. One of the best books I've read this year.

Donna Wright
6 months ago

Honestly, the author's voice is distinct and makes complex topics easy to digest. I will read more from this author.

5
5 out of 5 (8 User reviews )

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