000			nam a22 4500
999			_c33036 _d33036
008			240314b xxu||||| |||| 00| 0 eng d
020			_a9783031458538
082			_a530.15 _bPAP
100			_aPapachristou, Costas J.
245			_aElements of mathematical analysis : an informal introduction for physics and engineering students
260			_bSpringer, _c2024 _aCham :
300			_aix, 126 p. ; _bill., _c24 cm.
365			_b44.99 _c€ _d93.50
490			_aSpringerBriefs in physics
504			_aIncludes bibliographical references and 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 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.
650			_aLeibniz rule
650			_aPeriodic
650			_aDerivative
650			_aDefinite-Indefnite Integral
650			_aGeometrical series
942			_2ddc _cBK