Elements of Mathematical Analysis: An Informal Introduction for Physics and Engineering Students
Papachristou, Costas J.
- 出版商: Springer
- 出版日期: 2023-11-15
- 售價: $2,420
- 貴賓價: 9.5 折 $2,299
- 語言: 英文
- 頁數: 126
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031458532
- ISBN-13: 9783031458538
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相關分類:
物理學 Physics
海外代購書籍(需單獨結帳)
相關主題
商品描述
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.
作者簡介
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.
