Advanced Calculus

Proposta del 27 dicembre 2023
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Titolo: Advanced Calculus
Autori: James J. Callahan
Editore: Springer Science & Business Media
Anno pubbl.: 2010-09-09
ISBN: 9781441973320
Proposto a: BCI

Riferimento

In mathematics, you see things like “A Geometric Approach” so often without any real reason to back up these texts’ named approaches more than their peers’ generic takes. This is not the case with this book. The emphasis is on intuition but the author does not shy away from advanced concepts. The many diagrams and graphs have practical reasons to be there as they help with understanding. The examples are given to motivate the reader to do a great job at it. There are also some proofs whenever the proof is not very big. There are also proofs when the proof directly helps with the understanding. The writing style is also great, mixing a formal type of writing with a more conversational style.
It is of great use to physicists, engineers, and mathematicians to understand and reinforce one’s intuition behind these concepts (suitable for MA I and MA II students).

Also, the author states in the preface that the Feynman Lectures were a great influence due to the way that Feynman explained everything! So, this is a strong indication of an author trying(and succeeding) to write a book on mathematics using that very powerful way of thinking and explaining.

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