Approximately calculus.
9780821837504
Approximately calculus.
Shahriari, Shahriar.
Amer. Mathematical Society
2006
292 pages
$49.00
Hardcover
QA301
This calculus textbook by Shahriari (Pomona College Pomona College: see Claremont Colleges. ) is intended
for students who have completed the standard one-semester course in
single-variable calculus and wish to extend their studies of calculus
topics This is a list of calculus topics.
Note: the ordering of topics in sections is a suggestion to students. Before calculus (precalculus)
- Graph of a function
- Linear function
- Secant
- Slope
- Tangent
- Concavity
- Finite difference
. At the heart of the text is the use of approximation theory In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterising the errors introduced thereby. Note that what is meant by best and simpler will depend on the application. and
the approximation of the number of primes up to a number x as a tool to
encourage students to think about mathematics analytically. Along the
way, he treats standard topics such as derivatives, integrals,
transcendental functions, sequences and series, differential equations,
and convergence, as well as more unusual topics, including curvature,
Pade approximants, the logarithmic integral, public key cryptography An encryption method that uses a two-part key: a public key and a private key. To send an encrypted message to someone, you use the recipient's public key, which can be sent to you via regular e-mail or made available on any public Web site or venue. ,
and the qualitative analysis Qualitative Analysis
Securities analysis that uses subjective judgment based on nonquantifiable information, such as management expertise, industry cycles, strength of research and development, and labor relations. of the logistic equation.
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