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Elements of Mathematical Analysis

An Informal Introduction for Physics and Engineering Students

Costas J Papachristou author

Format:Paperback

Publisher:Springer International Publishing AG

Published:15th Nov '23

Should be back in stock very soon

Elements of Mathematical Analysis cover

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.

ISBN: 9783031458538

Dimensions: unknown

Weight: unknown

126 pages

1st ed. 2024