Based on the formulas of advanced mathematics, this manual introduces the main formulas, definitions, theorems, graphs, problem-solving methods and skills of various advanced mathematics in a concise form. In addition to the basic contents and formulas, common problem-solving methods and skills in advanced mathematics textbooks, this manual also collects a large number of formulas, special problem-solving methods and skills that are not found in general textbooks.

Using this manual can help readers quickly review, recall and master the formulas, problem-solving methods and skills of advanced mathematics, thus improving the learning efficiency, problem-solving ability and test scores of advanced mathematics.

This manual is suitable for freshmen who study advanced mathematics (calculus), and also for seniors who review advanced mathematics and prepare for postgraduate entrance examination. It is also of reference value to other readers who study and review advanced mathematics.

This manual can also be used as a convenient teaching reference book and reference book for higher mathematics teachers.