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by hdjjhhvvhga 1683 days ago
Sure. I feel that many contemporary undergraduate/college textbooks are actually fine in this regard (like Topics in Contemporary Math by Bello, Britton, and Kaul). As for the rest, some of my favorites:

- Warner, Pure Mathematcis for Beginners

- Devlin, Introduction to Mathematical Thinking

- Stewart, Concepts of Modern Mathematics

- Herrmann, Sally, Number, Shape, and Symmetry

- Baylis, What is Mathematical Analysis?

- Feil, Krone, Essential Discrete Math for Computer Science

- Rotman, A First Course in Abstract Algebra with Applications

- Banjamin, Chartrand, Zhang, The Fascinating World of Graph Theory

- Zou, Mult-Variable Calculus: A First Step

- Hubbard, The World According to Wavelets

- Sayama, Introduction to the Modeling and Analysis of Complex Systems

- Darst, Introduction to Linear Programming: Applications and Extensions

- Sourin, Making Images with Mathematics

- Gallian, Contemporary Abstract Algebra

And many others. Of course, all such lists are completely arbitrary. Once I get familiar with a certain topic, elaborate explanations seem redundant and I feel like shouting, "Get to the point already!" - whereas the same explanations can be extremely helpful for a beginner.

1 comments

> - Gallian, Contemporary Abstract Algebra

That is an amazing book. I will also recommend "A walk through combinatorics" by Miklos Bona for simple explanations and well made exercises with solutions present in the book itself.