Elements of Mathematical Analysis: An Informal Introduction for Physics and Engineering Students - Brossura

Papachristou, Costas J.

 
9783031458538: Elements of Mathematical Analysis: An Informal Introduction for Physics and Engineering Students
Brossura
ISBN 10: 3031458532 ISBN 13: 9783031458538
Casa editrice: Springer, 2023

Sinossi

This book provides a comprehensive yet informal introduction to differentiating and integrating real functions with one variable. It also covers basic first-order differential equations and introduces higher-dimensional differentiation and integration.

 

The focus is on significant theoretical proofs, accompanied by illustrative examples for clarity. A comprehensive bibliography aids deeper understanding. The concept of a function's differential is a central theme, relating to the "differential" within integrals. The discussion of indefinite integrals (collections of antiderivatives) precedes definite integrals, naturally connecting the two. The Appendix offers essential math formulas, exercise properties, and an in-depth exploration of continuity and differentiability. Select exercise solutions are provided.

 

This book suits short introductory math courses for novice physics/engineering students. It equips them with vital differentialand integral calculus tools for real-world applications. It is also useful for first-year undergraduates, reinforcing advanced calculus foundations for better Physics comprehension.

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Informazioni sull?autore

Dr. Costas J. Papachristou is a senior faculty member at the Hellenic Naval Academy (The Naval Academy of Greece). He received a Ph.D. in Theoretical Physics from Brigham Young University, USA, and spent another year at BYU as a research faculty in Physics. At the HNA, he teaches freshman- and sophomore-level Physics. His research interests are mainly in Theoretical and Mathematical Physics (in particular, symmetry and integrability properties of classical field equations, classical electromagnetism), but he is also active in Physics Education. He is an amateur musician and a columnist for Greek newspapers and magazines.

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Editore
Springer
Data di pubblicazione
2023
Lingua
Inglese
ISBN 10 
3031458532
ISBN 13 
9783031458538
Rilegatura
Copertina flessibile
Numero edizione
1
Numero di pagine
136
Contatto del produttore
non disponibile
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