capítulo por capítulo baixar COME, PLAY WITH x + iy NUMBERS: Complex Numbers Made Visual (English Edition)

What is i? Why did mathematics need it? And where does it actually live?

"If you've ever been introduced to i = √−1 and told to just accept it, this book is for you. Come, Play with x + iy Numbers doesn't start there — it starts with a question, the same one every beginner secretly has, and builds the entire idea of a complex number from scratch, one honest step at a time."

You'll watch the real number line reach its limit, discover why a new kind of number becomes necessary, and find out exactly where i lives — not by being told, but by reasoning it out yourself. From there, the number system grows into a plane, a complex number becomes a point you can actually see, and every rule that follows — rectangular form, polar form, modulus, argument, arithmetic, powers, and finally De Moivre's Theorem — is something you derive, not something you memorize.

No formula appears in this book without first showing you why it has to be true.

This is Book 1 of The Complex Number Journey — written for complete beginners meeting complex numbers for the first time, whether you're a student preparing for exams or simply someone who wants to actually understand a topic that's usually just handed to you in pieces.

Inside, you'll find:

• A first-principles build of the number system, from counting numbers to i
• A visual, geometric approach to the complex plane — not just algebra
• Rectangular and polar forms, and when to use each
• Full arithmetic: addition, subtraction, multiplication, and division
• Powers, roots, and De Moivre's Theorem, discovered rather than dictated
• Clear diagrams throughout, built to make every idea visible

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