Introduction to Calculus and Classical Analysis - Omar Hijab

Introduction to Calculus and Classical Analysis

(Autor)

Buch | Softcover
364 Seiten
2013 | Softcover reprint of hardcover 3rd ed. 2011
Springer-Verlag New York Inc.
978-1-4614-2842-8 (ISBN)
60,94 inkl. MwSt
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This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material.




Some features of the text:





The text is completely self-contained and starts with the real number axioms;

The integral is defined as the area under the graph, while the area is defined for every subset of the plane;

There is a heavy emphasison computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero;

There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more;

Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals;

There are 385 problems with all the solutions at the back of the text.

Preface.- 1 The Set of Real Numbers.- 2 Continuity.- 3 Differentiation.- 4 Integration.- 5 Applications.- A Solutions.- References.- Index  

Reihe/Serie Undergraduate Texts in Mathematics
Zusatzinfo XII, 364 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 1-4614-2842-4 / 1461428424
ISBN-13 978-1-4614-2842-8 / 9781461428428
Zustand Neuware
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