EAN: 9783031458538

SPRINGERBRIEFS IN PHYSICS ELEMENTS OF MATHEMA...

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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