ENGLISH

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

By Costas J. Papachristou

Book information

Publisher
Springer
Year
2023
ISBN
3031458532, 9783031458538, 9783031458545
DOI
10.1007/978-3-031-45854-5
ISSN
2191-5423
ASIN
B0CJ4C2Y2V
UDC
517
LBC
22.161
LCC
QA300
Language
english
Format
PDF
Filesize
3 MB (2804533 bytes)
Series
SpringerBriefs in Physics
Edition
1
Pages
ix, 126\127
Orientation
portrait
Paginated
no
Scanned
no
Time added
2023-11-16 22:20:48
Mathematical Analysis; Differential; Indefinite In

Description

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 differential and 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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