Self-Studying Applied Mathematics

TL;DR

A math instructor suggests "Advanced Engineering Mathematics" by Kreisig and recommends taking courses on complex analysis, abstract algebra, topology, and linear algebra to complement applied math studies.

Transcript

hi in this video I'm going to be answering an email I received from a viewer and I will do my best to answer the email on the spot so here we go his name is Jimmy and the subject is book course recommendations for Applied Mathematics okay and I have not read this email that's what makes it fun hello I really enjoy your videos I find the book recomm... Read More

Key Insights

• 📔 "Advanced Engineering Mathematics" by Kreisig is a recommended book for anyone interested in Applied Mathematics.
• ❓ Courses on complex analysis, abstract algebra, topology, and linear algebra are suggested to complement studies in economics and physics.
• 🉐 The instructor emphasizes the importance of gaining a broader perspective and exploring different areas within mathematics.
• 🧑‍🎓 Graduating math students often take classes in analysis, algebra, and topology, highlighting their significance in mathematical education.
• 👏 The recommended book is praised for its comprehensive coverage of basic and advanced mathematics.
• 🫵 Additional recommendations from viewers in physics or applied math are encouraged.
• 🧑‍🎓 The instructor demonstrates enthusiasm for helping students and enjoys providing book recommendations.

Questions & Answers

Q: What is the recommended book for Applied Mathematics?

The instructor suggests "Advanced Engineering Mathematics" by Kreisig as a highly valuable book that covers a wide range of mathematical topics and is well-regarded for its clarity and organization.

Q: Which courses in mathematics can complement studies in economics and physics?

The instructor recommends taking courses on complex analysis, abstract algebra, topology, and linear algebra to broaden one's mathematical knowledge and gain different perspectives.

Q: Why is it beneficial to take classes beyond the standard curriculum?

Taking additional courses provides the opportunity to discover new areas of interest within mathematics, gain a more comprehensive understanding of the subject, and potentially uncover useful concepts applicable to economics and physics.

Q: Are there any downsides to the suggested book?

The instructor mentions that the thickness of "Advanced Engineering Mathematics" by Kreisig can make it difficult to keep the book open while reading or solving problems. However, the extensive content compensates for this inconvenience.

Summary & Key Takeaways

• The video addresses an email from a viewer named Jimmy, who seeks book recommendations for Applied Mathematics and suggestions for complementary courses in economics and physics.

• The instructor recommends "Advanced Engineering Mathematics" by Kreisig as a comprehensive book covering various topics in mathematics.

• The instructor suggests taking courses on complex analysis, abstract algebra, topology, and linear algebra to gain a broader perspective and discover new areas of interest within the field.