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What textbooks/resources are an excelent introduction to physical mathematics?

Thanks

Nathan

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- Thread starter Nathan Elward
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- #1

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What textbooks/resources are an excelent introduction to physical mathematics?

Thanks

Nathan

- #2

fresh_42

Mentor

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However, there is always a risk to learn wrong, i.e. to interpret the subtleties of a subject in a wrong way: e.g. the difference between a linear transformation or vector and its representation by coordinates, the concept of continuity, i.e. confusing the ##\varepsilon - \delta## definition.

- #3

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Thanks. Openstax is a decent resource I hadn't heard of before. I'll definitely be using it.

- #4

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https://www.amazon.com/dp/B0006BNQDG/?tag=pfamazon01-20

Also purchase another introductory book to reference. Maybe Giancoli Physics for Scienties and Engineers or Serway Physics. Always choose the older editions. Much cheaper, and practically the same.

Edwin E. Moise : Calculus. Much easier than Spivak/Apostol/Courant. Everything is motivated carefully. Great precise, clear, and informative writing. Explains things like the well ordering principle, the power and motivation behind the Mean Value Theorem. Fields and their axioms are explained. Explains what a parabolic sector is, and how Archimedes approached the area of a curve. Logirithmic functions and their integrals are constructed and well defined.

Explains sequences and series very well.Mathematically correct derivation of arc length, most modern calculus book that have a proof of this are incorrect. Great place to learn to think mathematically. Great balance between theory and application. Reminds of a gentler Courant Calculus.

https://www.amazon.com/dp/B000L3UO2A/?tag=pfamazon01-20

Stewart Calculus. It's more towards engineers and very generic. Use it as a problems book.

https://www.amazon.com/dp/0538497815/?tag=pfamazon01-20

Thomas Calculus 3rd ed. Mathwonk wrote a great summary of the books strengths. More of an applied approach, but a goody. I learned Calculus from this book.

https://www.amazon.com/dp/B00GMPZBGA/?tag=pfamazon01-20

I recommend that you read Moise as the main book, and supplement it with Thomas. If Moise is too hard, you can use Thomas, and later do Moise.

This should be enough for now.

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Be careful with the edition, though. There are many bad reviews that criticize the international edition.

- #6

vela

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The OpenStax physics book,

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