The best-selling A TRANSITION TO ADVANCED MATHEMATICS, 8TH EDITION helps students bridge the gap between calculus and advanced math courses. Students gain a foundation in the major concepts needed for continued study as they learn to express themselves mathematically, analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors introduce modern algebra and analysis with an emphasis on reading and writing proofs and spotting common errors in proofs. Clear explanations and detailed examples support concepts, while exercises provide practice in routine and more challenging problems. Students master the mathematical reasoning for later courses while learning how mathematicians approach and solve problems.