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Introduction to Calculus and Classical Analysis by Omar Hijab

• Introduction to Calculus and Classical Analysis
• Omar Hijab
• Page: 424
• Format: pdf, ePub, mobi, fb2
• ISBN: 9783319283999
• Publisher: Springer International Publishing

Download Introduction to Calculus and Classical Analysis

Free bookworm download for android Introduction to Calculus and Classical Analysis 9783319283999 ePub PDF MOBI

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 include: 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 emphasis on 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; and There are 385 problems with all the solutions at the back of the text.

Leibniz Integral Rule -- from Wolfram MathWorld
Hijab, O. Introduction to Calculus and Classical Analysis. §60 in Advanced Calculus: A Course Arranged with Special Reference to the Needs of Students of   Sprmger
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[11] J.A. Fridy, Introductory Analysis: The Theory of Calculus, Academic Press; 2nd [29] Omar Hijab, Introduction to Calculus and Classical Analysis, 2nd ed.,  Advanced Calculus: An Introduction to Classical Analysis (Dover
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