Smith/Minton’s Early Transcendental Functions, 3/e focuses on student comprehension of calculus. The authors’ writing style is clear and understandable, reminiscent of a classroom lecture, which enables students to better grasp techniques and acquire content mastery. Modern applications in examples and exercises connect the calculus with relevant and interesting topics and situations. Detailed examples provide students with helpful guidance that emphasizes what is important and where common pitfalls occur. The exercise sets are balanced with routine, medium, and challenging problems. Technology is integrated throughout the text, but only where it makes sense. These elements all combine to provide a superior text from which students can read, understand, and very effectively learn calculus.
In my math minor we covered, like, 10-11 of the 15 chapters in this Pretty Damn Thorough textbook, and so a lil personal goal I gave myself post-graduation was to work through the remaining four chapters/review the content I felt fuzzy on and do a fair amount of the exercises to ~familiarize myself with and solidify~ the concepts present, and I don’t regret it aaaaaat all 😤
I’ll be honest, I find higher-level math Quite Thrilling and Elegant and Beautiful in the same way that solving a complicated puzzle, a well-realized twist in a narrative, or the sensation of something working Exactly Right evokes, and I kinda had a blast with this textbook 😅 Really thorough, explains the concepts well enough in the chapters that doing the exercises is (normally) easy enough if you review the content, and the content itself is just SO fun to me, frankly 🤷♂️
The last couple chapters (Vector Calculus and Second-Order Differential Equations) left me sweating with frustration and thinking I may need to take an Actual Course to get better at, like, calculating curvature and whatnot, but damn was it fun! Go math! Without calculus the modern world could never exist! And it’s fun and challenging and elegant! Hell yeah!
Think I’ll look through/review my Linear Algebra textbook next or try my hand at a Differential Equations textbook, we’ll see 🤷♂️