New book | Elements of Mathematical Analysis

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

This short textbook is a concise, informal introduction to differentiation and integration of real functions of a single variable, supplemented with an elementary discussion of first-order differential equations, an introduction to differentiation and integration in higher dimensions, and an introduction to complex analysis. Functional series (and, in particular, power series) are also discussed. Proofs of theoretical statements are limited to those considered pedagogically useful, while the theory is amply supplemented with carefully chosen examples. The book may serve as a tutorial resource in a short-term introductory course of mathematical analysis for beginning students of physics and engineering who need to use differential and integral calculus primarily for applications. It is particularly suitable for self-study.

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