Elements of Mathematical Analysis: An Informal Introduction for Physics and Engineering Students (SpringerBriefs in Physics) - Softcover

Book 132 of 151: SpringerBriefs in Physics

Papachristou, Costas J.

 
9783031458538: Elements of Mathematical Analysis: An Informal Introduction for Physics and Engineering Students (SpringerBriefs in Physics)
Softcover
ISBN 10: 3031458532 ISBN 13: 9783031458538
Publisher: Springer, 2023

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2023
Language
English
ISBN 10 
3031458532
ISBN 13 
9783031458538
Binding
Paperback
Edition number
1
Number of pages
136