Advanced Calculus: An Introduction to Modem Analysis, an advanced
undergraduate textbook,provides mathematics majors, as well as
students who need mathematics in their field of study,with an
introduction to the theory and applications of elementary analysis.
The text presents, inan accessible form, a carefully maintained
balance between abstract concepts and applied results
ofsignificance that serves to bridge the gap between the two- or
three-cemester calculus sequence andsenior/graduate level courses
in the theory and appplications of ordinary and partial
differentialequations, complex variables, numerical methods, and
measure and integration theory.The book focuses on topological
concepts, such as compactness, connectedness, and metric spaces,and
topics from analysis including Fourier series, numerical analysis,
complex integration, generalizedfunctions, and Fourier and Laplace
transforms. Applications from genetics, spring systems,enzyme
transfer, and a thorough introduction to the classical vibrating
string, heat transfer, andbrachistochrone problems illustrate this
book's usefulness to the non-mathematics major. Extensiveproblem
sets found throughout the book test the student's understanding of
the topics andhelp develop the student's ability to handle more
abstract mathematical ideas.Advanced Calculus: An Introduction to
Modem Analysis is intended for junior- and
senior-levelundergraduate students in mathematics, biology,
engineering, physics, and other related disciplines.An excellent
textbook for a one-year course in advanced calculus, the methods
employed in thistext will increase students' mathematical maturity
and prepare them solidly for senior/graduatelevel topics. The
wealth of materials in the text allows the instructor to select
topics that are ofspecial interest to the student. A two- or three
ll?lester calculus sequence is required for successfuluse of this
book.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!