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001484241 001__ 1484241
001484241 003__ OCoLC
001484241 005__ 20240117003318.0
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001484241 020__ $$a9783031439148$$qelectronic book
001484241 020__ $$a3031439147$$qelectronic book
001484241 020__ $$z3031439139
001484241 020__ $$z9783031439131
001484241 0247_ $$a10.1007/978-3-031-43914-8$$2doi
001484241 035__ $$aSP(OCoLC)1410493339
001484241 040__ $$aYDX$$beng$$erda$$cYDX$$dOCLCO$$dGW5XE$$dYDX$$dOCLCO
001484241 049__ $$aISEA
001484241 050_4 $$aQA303.2$$b.M47 2023
001484241 08204 $$a515$$223/eng/20231207
001484241 1001_ $$aMercer, Peter R.
001484241 24512 $$aA compact capstone course in classical calculus /$$cPeter R. Mercer.
001484241 264_1 $$aCham :$$bBirkhäuser,$$c2023.
001484241 300__ $$a1 online resource
001484241 336__ $$atext$$btxt$$2rdacontent
001484241 337__ $$acomputer$$bc$$2rdamedia
001484241 338__ $$aonline resource$$bcr$$2rdacarrier
001484241 4901_ $$aCompact textbooks in mathematics
001484241 504__ $$aIncludes bibliographical references and index.
001484241 5050_ $$aChapter 1. Prelude: Vi`etes Product -- Chapter. 2. Calculus Warm-up -- Chapter. 3. The Probability Integral & Gamma Function -- Chapter. 4. Walliss Product -- Chapter. 5. Interlude: How Big is a Ball ? -- Chapter. 6. Convexity Tangents -- Chapter. 7. Some Important Series -- Chapter. 8. Geometric Probability -- Chapter. 9. Convexity Chords -- Chapter. 10. Interlude: Minkowski Distance -- Chapter. 11. The Basel Problem -- Chapter. 12. Interlude: Beyond Basel -- Chapter. 13. Stirlings Formula -- Chapter. 14. Eulers Sine Product -- Chapter. 15. Postlude: Stirlings Formula Again -- Index.
001484241 506__ $$aAccess limited to authorized users.
001484241 520__ $$aThis textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The authors enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal prerequisites. Readers will gain a broad knowledge of the area, with approaches based on those found in recent literature, as well as historical remarks that deepen the exposition. Specific topics covered include the binomial theorem, the harmonic series, Euler's constant, geometric probability, and much more. Over the fifteen chapters, readers will discover the elegance of calculus and the pivotal role it plays within mathematics. A Compact Capstone Course in Classical Calculus is ideal for exploring interesting topics in mathematics beyond the standard calculus sequence, particularly for undergraduates who may not be taking more advanced math courses. It would also serve as a useful supplement for a calculus course and a valuable resource for self-study. Readers are expected to have completed two one-semester college calculus courses.
001484241 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 7, 2023).
001484241 650_6 $$aCalcul infinitésimal.
001484241 650_0 $$aCalculus.$$vProblems, exercises, etc.$$0(DLC)sh2008100023
001484241 655_0 $$aElectronic books.
001484241 77608 $$iPrint version: $$z3031439139$$z9783031439131$$w(OCoLC)1393243528
001484241 830_0 $$aCompact textbooks in mathematics.
001484241 852__ $$bebk
001484241 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-43914-8$$zOnline Access$$91397441.1
001484241 909CO $$ooai:library.usi.edu:1484241$$pGLOBAL_SET
001484241 980__ $$aBIB
001484241 980__ $$aEBOOK
001484241 982__ $$aEbook
001484241 983__ $$aOnline
001484241 994__ $$a92$$bISE