Undergraduate analysis : a working textbook /
McCluskey, Aisling,
Undergraduate analysis : a working textbook / Aisling McCluskey (Senior Lecturer in Mathematics, National University of Ireland, Galway), Brian McMaster (Honorary Senior Lecturer, Queen's University Belfast). - First edition. - 381 pages : illustrations ; 24 cm
Includes bibliographical references (page 377) and index.
Preliminaries -- Limit of a sequence - an idea, a definition, a tool -- Interlude: different kinds of numbers -- Up and down - increasing and decreasing sequences -- Special (or specially awkward) examples -- Endless sums - a first look at series -- Continuous functions - the domain thinks that the graph is unbroken -- Limit of a function -- Epsilontics and functions -- Infinity and function limits -- Differentiation - the slope of a graph -- The Cauchy condition - sequences whose terms pack tightly together -- More about series -- Uniform continuity - continuity's global cousin -- Differentiation - mean value theorems, power series -- Riemann integration - area under a graph -- The elementary functions revisited -- Exercises: for additional practice.
0198817568 9780198817567 (hbk.) 0198817576 (hbk.) 9780198817574 (pbk.)
2017963197
GBB864916 bnb
018827717 Uk
Mathematical analysis.
MATHEMATICS / Calculus.
MATHEMATICS / Mathematical Analysis.
Mathematical analysis.
QA300 / .M378 2018
515 / MCC.U
Undergraduate analysis : a working textbook / Aisling McCluskey (Senior Lecturer in Mathematics, National University of Ireland, Galway), Brian McMaster (Honorary Senior Lecturer, Queen's University Belfast). - First edition. - 381 pages : illustrations ; 24 cm
Includes bibliographical references (page 377) and index.
Preliminaries -- Limit of a sequence - an idea, a definition, a tool -- Interlude: different kinds of numbers -- Up and down - increasing and decreasing sequences -- Special (or specially awkward) examples -- Endless sums - a first look at series -- Continuous functions - the domain thinks that the graph is unbroken -- Limit of a function -- Epsilontics and functions -- Infinity and function limits -- Differentiation - the slope of a graph -- The Cauchy condition - sequences whose terms pack tightly together -- More about series -- Uniform continuity - continuity's global cousin -- Differentiation - mean value theorems, power series -- Riemann integration - area under a graph -- The elementary functions revisited -- Exercises: for additional practice.
0198817568 9780198817567 (hbk.) 0198817576 (hbk.) 9780198817574 (pbk.)
2017963197
GBB864916 bnb
018827717 Uk
Mathematical analysis.
MATHEMATICS / Calculus.
MATHEMATICS / Mathematical Analysis.
Mathematical analysis.
QA300 / .M378 2018
515 / MCC.U