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

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Dickson, Leonard E. (Leonard Eugene), 1874-1954 Dickson, Leonard E. (Leonard Eugene), 1874-1954
English
Okay, I know what you're thinking: a century-old math textbook? Hear me out. This isn't just any textbook. It's like finding the original blueprint for a skyscraper you see every day. Leonard Dickson, a mathematical giant, wrote this to be the first real step into higher math. The 'conflict' here isn't about characters—it's the quiet, intense battle to understand the hidden rules that govern equations. Why do some have solutions and others seem impossible? How are all the answers connected? It's a short, dense book that builds the entire foundation. If you've ever been curious about where algebra *really* starts, this is the genuine article, straight from a master builder.
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for this curious child was very fond of pretending to be two people. “But it’s no use now,” thought poor Alice, “to pretend to be two people! Why, there’s hardly enough of me left to make _one_ respectable person!” Soon her eye fell on a little glass box that was lying under the table: she opened it, and found in it a very small cake, on which the words “EAT ME” were beautifully marked in currants. “Well, I’ll eat it,” said Alice, “and if it makes me grow larger, I can reach the key; and if it makes me grow smaller, I can creep under the door; so either way I’ll get into the garden, and I don’t care which happens!” She ate a little bit, and said anxiously to herself, “Which way? Which way?”, holding her hand on the top of her head to feel which way it was growing, and she was quite surprised to find that she remained the same size: to be sure, this generally happens when one eats cake, but Alice had got so much into the way of expecting nothing but out-of-the-way things to happen, that it seemed quite dull and stupid for life to go on in the common way. So she set to work, and very soon finished off the cake. * * * * * * * * * * * * * * * * * * * * CHAPTER II. The Pool of Tears “Curiouser and curiouser!” cried Alice (she was so much surprised, that for the moment she quite forgot how to speak good English); “now I’m opening out like the largest telescope that ever was! Good-bye, feet!” (for when she looked down at her feet, they seemed to be almost out of sight, they were getting so far off). “Oh, my poor little feet, I wonder who will put on your shoes and stockings for you now, dears? I’m sure _I_ shan’t be able! I shall be a great deal too far off to trouble myself about you: you must manage the best way you can;—but I must be kind to them,” thought Alice, “or perhaps they won’t walk the way I want to go! Let me see: I’ll give them a new pair of boots every Christmas.” And she went on planning to herself how she would manage it. “They must go by the carrier,” she thought; “and how funny it’ll seem, sending presents to one’s own feet! And how odd the directions will look! _Alice’s Right Foot, Esq., Hearthrug, near the Fender,_ (_with Alice’s love_). Oh dear, what nonsense I’m talking!” Just then her head struck against the roof of the hall: in fact she was now more than nine feet high, and she at once took up the little golden key and hurried off to the garden door. Poor Alice! It was as much as she could do, lying down on one side, to look through into the garden with one eye; but to get through was more hopeless than ever: she sat down and began to cry again. “You ought to be ashamed of yourself,” said Alice, “a great girl like you,” (she might well say this), “to go on crying in this way! Stop this moment, I tell you!” But she went on all the same, shedding gallons of tears, until there was a large pool all round her, about four inches deep and reaching half down the hall. After a time she heard a little pattering of feet in the distance, and she hastily dried her eyes to see what was...

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Forget everything you think you know about dry, modern textbooks. First Course in the Theory of Equations is a direct telegram from the early 20th century mathematical front lines. It doesn't waste time. Dickson gets right to the point: equations are puzzles, and he's giving you the master key. The book systematically walks you from the basics you think you know (like what a 'root' really means) straight into deeper waters—exploring complex numbers, symmetric functions, and methods for solving higher-degree equations. It's a straight shot from high school algebra to the gateway of university-level math.

Why You Should Read It

There's a raw clarity here that's often polished away in newer books. Reading Dickson feels like getting a private lesson from a brilliant, no-nonsense professor. You see the logical skeleton of algebra laid bare. It’s not about flashy applications or endless practice problems; it's about understanding the 'why' behind the rules. This focus makes the 'aha!' moments incredibly satisfying. You finish a chapter feeling like you've built something solid in your mind, piece by logical piece.

Final Verdict

This is a niche pick, but a glorious one. It's perfect for the curious student who feels short-changed by cookie-cutter algebra courses and wants to see the real structure underneath. It’s also a fascinating read for anyone interested in the history of science education—this is how the giants learned. It’s not an easy lounge read; it demands a pencil, paper, and your full attention. But if you give it that, it rewards you with a rock-solid understanding that feels earned.



🏛️ License Information

This book is widely considered to be in the public domain. Preserving history for future generations.

Daniel Nguyen
7 months ago

Recommended.

David Nguyen
1 month ago

Used this for my thesis, incredibly useful.

Jessica Martinez
3 months ago

This is one of those stories where it manages to explain difficult concepts in plain English. I would gladly recommend this title.

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