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020 _a9783031458545
_9978-3-031-45854-5
024 7 _a10.1007/978-3-031-45854-5
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
100 1 _aPapachristou, Costas J.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_967183
245 1 0 _aElements of Mathematical Analysis
_h[electronic resource] :
_bAn Informal Introduction for Physics and Engineering Students /
_cby Costas J. Papachristou.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aIX, 126 p. 24 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Physics,
_x2191-5431
505 0 _a1. Functions -- 2. Derivative and Differential -- 3. Some Applications of Derivatives -- 4. Indefinite Integral -- 5. Definite Integral -- 6. Series -- 7. An Elementary Introduction to Differential Equations -- 8. Introduction to Differentiation in Higher Dimensions -- 9. Complex Numbers -- 10. Introduction to Complex Analysis -- Appendix -- Answers to Selected Exercises -- Selected Bibliography -- Index.
520 _aThis 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.
650 0 _aMathematical physics.
650 0 _aDifference equations.
_967184
650 0 _aFunctional equations.
_967185
650 0 _aEngineering mathematics.
_964145
650 1 4 _aMathematical Physics.
650 2 4 _aDifference and Functional Equations.
_967186
650 2 4 _aEngineering Mathematics.
_964145
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031458538
776 0 8 _iPrinted edition:
_z9783031458552
830 0 _aSpringerBriefs in Physics,
_x2191-5431
_967187
856 4 0 _uhttps://doi.org/10.1007/978-3-031-45854-5
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c56547
_d56547