A good problem book in undergraduate mathematics

In summary, a problem book in undergraduate mathematics is a collection of exercises and problems designed to supplement the material covered in a specific undergraduate math course. It is important for students to have a good problem book as it allows them to practice and apply the concepts learned in class, and provides a variety of problems to challenge themselves and prepare for exams. When choosing a problem book, consider the topics covered in your course and the level of difficulty. A problem book cannot replace a textbook, but is meant to supplement it. There are also resources available, such as solutions and online forums, to help with solving problems in a problem book.
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Qubix
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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...
 

What is a problem book in undergraduate mathematics?

A problem book in undergraduate mathematics is a collection of exercises and problems designed to supplement the material covered in a specific undergraduate math course. It typically includes a wide range of problems, from basic to advanced, to help students practice and deepen their understanding of the course material.

Why is it important for undergraduate students to have a good problem book in mathematics?

Having a good problem book in mathematics can greatly benefit undergraduate students in various ways. It allows them to practice and apply the concepts and techniques they have learned in class, which can improve their problem-solving skills and deepen their understanding of the subject. It also provides them with a variety of problems to challenge themselves and prepare for exams.

How do I choose a good problem book in undergraduate mathematics?

When choosing a problem book in undergraduate mathematics, consider the topics covered in your course and look for a book that aligns with those topics. Also, check the level of difficulty of the problems to make sure they are appropriate for your level. It's also helpful to read reviews and ask for recommendations from your professors or peers.

Can a good problem book in undergraduate mathematics replace a textbook?

No, a problem book in undergraduate mathematics is meant to supplement a textbook, not replace it. While a textbook provides explanations and examples, a problem book focuses on practicing and applying what is learned from the textbook. Both are important for a complete understanding of the subject.

Are there any resources available to help with solving problems in a problem book?

Yes, many problem books in undergraduate mathematics come with solutions or have solutions available online. Additionally, there are online resources such as forums and study groups where students can discuss and get help with solving problems. Your professor or teaching assistant may also be able to provide guidance and clarification on difficult problems.

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