A good problem book in undergraduate mathematics

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SUMMARY

The discussion centers on recommendations for problem books in undergraduate mathematics, specifically covering topics such as vector algebra, analysis (real and complex), differential equations, and algebra. K.A. Stroud's "Engineering Mathematics" and "Advanced Engineering Mathematics" are highlighted as essential resources, praised for their structured programs that facilitate logical progression through mathematical concepts. These books serve as comprehensive guides for mastering the material typically found in texts like Arfken & Weber and Riley, Hobson, and Bence.

PREREQUISITES
  • Familiarity with undergraduate mathematics topics such as vector algebra and differential equations.
  • Understanding of real and complex analysis concepts.
  • Basic knowledge of algebra and vector analysis.
  • Awareness of analytical and differential geometry principles.
NEXT STEPS
  • Explore K.A. Stroud's "Engineering Mathematics" for structured learning in undergraduate math.
  • Study "Advanced Engineering Mathematics" by K.A. Stroud for advanced problem-solving techniques.
  • Research additional resources on real and complex analysis to deepen understanding.
  • Investigate problem sets and exercises in differential equations to enhance practical skills.
USEFUL FOR

Undergraduate mathematics students, educators seeking effective teaching resources, and anyone looking to strengthen their problem-solving skills in mathematics.

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Does anyone know a good problem/exercise book in general undergraduate mathematics, the stuff covered by Arfken&Weber of Riley, Hobson and Bence: basically, vector algebra, analysis (real and complex),differential equations, algebra, vector analysis and maybe some geometry (analytical and differential) ?
 
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I would strongly recommend 'Engineering mathematics' and 'Advanced engineering mathematics' by K.A. Stroud. Pretty much everything I know about maths I've learned from those two books. They are not set out in the standard fashion, but are made up of carefully structured programmes which progress in a logical fashion...
 

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