10.1007/978-94-015-8589-7
doi
repertoire
concept
circumstances
calculus students
graduate students
beliefs
insights
technique
attacks
unsolved area
https://doi.org/10.1007/978-94-015-8589-7
vision
1995-01-01
students
exercise
monograph
literature
research environment
mathematical literature
mathematical understanding
encounters
problem
ingredients
connection
constant ingredients
environment
form
latest developments
false
formulation
disciplines
en
book
year graduate students
advanced mathematical formulations
first encounter
first-year graduate students
area
978-94-015-8589-7
sophisticated problem
1995
development
analysis
understanding
set
978-90-481-4590-4
2022-05-20T07:41
elementary analysis
authors
elementary techniques
deeper mathematical understanding
example
mathematical students
books
It is hard to imagine that another elementary analysis book would contain ma terial that in some vision could qualify as being new and needed for a discipline already abundantly endowed with literature. However, to understand analysis, be ginning with the undergraduate calculus student through the sophisticated math ematically maturing graduate student, the need for examples and exercises seems to be a constant ingredient to foster deeper mathematical understanding. To a talented mathematical student, many elementary concepts seem clear on their first encounter. However, it is the belief of the authors, this understanding can be deepened with a guided set of exercises leading from the so called "elementary" to the somewhat more "advanced" form. Insight is instilled into the material which can be drawn upon and implemented in later development. The first year graduate student attempting to enter into a research environment begins to search for some original unsolved area within the mathematical literature. It is hard for the student to imagine that in many circumstances the advanced mathematical formulations of sophisticated problems require attacks that draw upon, what might be termed elementary techniques. However, if a student has been guided through a serious repertoire of examples and exercises, he/she should certainly see connections whenever they are encountered.
elementary concepts
set of exercises
Elementary Analysis through Examples and Exercises
mathematical formulation
https://scigraph.springernature.com/explorer/license/
materials
need
Applied Mathematics
pub.1031448836
dimensions_id
Takači
Djurdjica
Mathematical Sciences
Institute of Mathematics, University of Novi Sad, Novi Sad, Yugoslavia
Institute of Mathematics, University of Novi Sad, Novi Sad, Yugoslavia
Arpad
Takači
Schmeelk
John
Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, Virginia, USA
Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, Virginia, USA
Springer Nature - SN SciGraph project
Springer Nature