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Elements of Mathematical Analysis: An Informal Introduction for Physics and Engineering Students: SpringerBriefs in Physics

Autor Costas J. Papachristou
en Limba Engleză Paperback – 15 noi 2023
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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Specificații

ISBN-13: 9783031458538
ISBN-10: 3031458532
Pagini: 126
Ilustrații: IX, 126 p. 24 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.2 kg
Ediția:1st ed. 2024
Editura: Springer Nature Switzerland
Colecția Springer
Seria SpringerBriefs in Physics

Locul publicării:Cham, Switzerland

Cuprins

1. Functions.- 2. Derivative and Differential.- 3. Some Applications of Derivatives.- 4. Indefinite Integral.- 5. Definite Integral.- 6. Series.- 7. An Elementary Introduction to Differential Equations.- 8. Introduction to Differentiation in Higher Dimensions.- 9. Complex Numbers.- 10. Introduction to Complex Analysis.- Appendix.- Answers to Selected Exercises.- Selected Bibliography.- Index.

Notă biografică

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.

Caracteristici

Is suitable for self-study and also useful as a tutorial companion for introduction to differentiation and integration Provides the mathematical formulas and properties needed for the exercises in the appendix Serves as a tutorial resource in a short-term introductory course for first-year students in physics and engineering