Introductory books with lots of problems

  • Context: High School 
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SUMMARY

This discussion highlights the need for introductory mathematics books that provide a balance of theory and problem-solving for high school to first-year university students. "Schaum's Outlines" are mentioned as a resource, offering numerous examples and problems, although they lack depth in theoretical explanations. Participants seek recommendations for books that effectively bridge the gap between high school and university-level mathematics, specifically in trigonometry, algebra, geometry, and calculus.

PREREQUISITES
  • Understanding of high school mathematics concepts
  • Familiarity with trigonometry, algebra, geometry, and calculus
  • Knowledge of educational resources and textbooks
  • Ability to solve mathematical problems independently
NEXT STEPS
  • Research additional resources like "Art of Problem Solving" books
  • Explore "Calculus Made Easy" by Silvanus P. Thompson
  • Investigate online platforms offering problem sets, such as Khan Academy
  • Look into "Precalculus" textbooks that include extensive problem sections
USEFUL FOR

High school students transitioning to university, educators seeking supplemental teaching materials, and anyone looking to strengthen their problem-solving skills in mathematics.

h00zah
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Are there any good books that focus on teaching the subject then supplying many problems? For trig, algebra, geometry and calculus at high school (gr 12) -> first year university levels. Basically refresher books that will help bridge the gap nicely for going from high school to university.
 
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"Shaum's outlines" are available in any book store and, while not great for beginning study and low on theory, have many examples and problems.
 

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