<p>This book is your all-in-one guide to understanding mathematics clearly and efficiently. Each page tackles a single, central question with straightforward explanations on the left and practical examples on the right.</p><p>Ideal for anyone who</p><ul><li>wants (or needs) to truly understand math,</li><li>prefers visual learning,</li><li>likes finding the essentials at a glance,</li><li>only wants to read what’s relevant right now.</li></ul><p>What makes this book unique?</p><ul><li>Every page is self-contained and easy to follow.</li><li>Concepts are explained in a conversational style.</li><li>Examples are comprehensive, yet easy to follow.</li><li>No prior knowledge required, we start from the very beginning.</li></ul><p>From the basics to more advanced questions:</p><ul><li>How do you expand and reduce fractions?</li><li>What does “if and only if” mean?</li><li>...</li><li>How do you find the derivative of an inverse function?</li><li>When does an improper integral of a function exist?</li></ul><p>This book is a translation of the original German edition <em>Mathe übersichtlich: Von den Basics bis zur Analysis</em>, 3rd edition, by Adriane Gründers, published by Springer-Verlag GmbH, DE in 2025. The translation was done with the help of an artificial intelligence machine translation tool. A subsequent human revision was done in close cooperation with native speakers, but the book might still read stylistically differently from a conventional translation.</p>

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Math Made Clear: From the Basics to Calculus

  • Adriane Gründers

摘要

This book is your all-in-one guide to understanding mathematics clearly and efficiently. Each page tackles a single, central question with straightforward explanations on the left and practical examples on the right.

Ideal for anyone who

  • wants (or needs) to truly understand math,
  • prefers visual learning,
  • likes finding the essentials at a glance,
  • only wants to read what’s relevant right now.

What makes this book unique?

  • Every page is self-contained and easy to follow.
  • Concepts are explained in a conversational style.
  • Examples are comprehensive, yet easy to follow.
  • No prior knowledge required, we start from the very beginning.

From the basics to more advanced questions:

  • How do you expand and reduce fractions?
  • What does “if and only if” mean?
  • ...
  • How do you find the derivative of an inverse function?
  • When does an improper integral of a function exist?

This book is a translation of the original German edition Mathe übersichtlich: Von den Basics bis zur Analysis, 3rd edition, by Adriane Gründers, published by Springer-Verlag GmbH, DE in 2025. The translation was done with the help of an artificial intelligence machine translation tool. A subsequent human revision was done in close cooperation with native speakers, but the book might still read stylistically differently from a conventional translation.