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Cambridge University Press 978-0-521-86744-3 - Calculus: Third Edition Michael Spivak Index More information INDEX © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-86744-3 - Calculus: Third Edition Michael Spivak Index More information © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-86744-3 - Calculus: Third Edition Michael Spivak Index More information AalbmcndoE, 273 Archimedian property Abel, Niels Henrik, 404, 513 for the rational numbers, 574 Abel summable, 514 for the real numbers, 136 Abel's formula for summation by parts, Archimedian spiral, 85, 246 388 Arcsec, 317, 379 Abel's Lemma, 389 Arcsin, 307 Abel's test, 488 addition formula for, 314 Abel's Theorem, 513 derivative of, 308 Absolute value, 11 Taylor series for, 509 of a complex number, 525 Arctan, 308 Absolutely convergent, 473, 547 addition formula for, 314 Absolutely summable, 473 derivative of, 308 Acceleration, 159 Taylor polynomial for, 407, 414 remainder term for, 422 Acta Eruditorum, 146 Addition, 3 Area, 250, 255 associative law for, 9 Arg cosh, 350 commutative law for, 9 Arg sinh, 350 of complex numbers, 522 Arg tanh, 350 Argument, 527 geometric interpretation of, 526 Argument function, 533 of vector-valued functions, 242 discontinuities of, 537 of vectors, 75 Argument of the hyperbolic Addition formula functions, 350 for arcsin, 314 Arithmetic mean, 33 for arctan, 314 Arrow, 75, 76 for cos, 311 \x arrow sin(x2)", 45 for sin, 310, 311 Associative law for
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