Introduction to Calculus and Classical Analysis
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The work Introduction to Calculus and Classical Analysis represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Introduction to Calculus and Classical Analysis
Resource Information
The work Introduction to Calculus and Classical Analysis represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Introduction to Calculus and Classical Analysis
 Statement of responsibility
 by Omar Hijab
 Subject

 Special Functions
 Approximation theory
 Functions, Special
 Sequences, Series, Summability
 Combinatorial analysis
 Combinatorial analysis
 Special Functions
 Approximations and Expansions
 Mathematics
 Combinatorics
 Electronic resources
 Sequences (Mathematics)
 Functions, Special
 Combinatorial analysis
 Mathematics
 Sequences (Mathematics)
 Sequences (Mathematics)
 Combinatorics
 Functions, Special
 Approximation theory
 Combinatorics
 Special Functions
 Mathematics
 Approximation theory
 Language
 eng
 Summary
 This completely selfcontained text is intended either for a course in honors calculus or for an introduction to analysis. Beginning with the real number axioms, and involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate math majors. This fourth edition includes an additional chapter on the fundamental theorems in their full Lebesgue generality, based on the Sunrise Lemma. Key features of this text include: â¢ Applications from several 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; â¢ A heavy emphasis on computational problems, from the highschool quadratic formula to the formula for the derivative of the zeta function at zero; â¢ Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; â¢ A selfcontained treatment of the fundamental theorems of calculus in the general case using the Sunrise Lemma; â¢ The integral is defined as the area under the graph, while the area is defined for every subset of the plane; â¢ 450 problems with all the solutions presented at the back of the text. Reviews: "Chapter 5 isâ¦an astonishing tour de forceâ¦" âSteven G. Krantz, American Math. Monthly "For a treatmentâ¦[of infinite products and Bernoulli series] that is very close to Eulerâs and even more elementaryâ¦" âV. S. Varadarajan, Bulletin AMS "This is a very intriguing, decidedly unusual, and very satisfying treatment of calculus and introductory analysis. It's full of quirky little approaches to standard topics that make one wonder over and over again, 'Why is it never done like this?'" âJohn Allen Paulos, Author of Innumeracy and A Mathematician Reads the Newspaper
 Image bit depth
 0
 LC call number
 QA401425
 Literary form
 non fiction
 Series statement
 Undergraduate Texts in Mathematics,
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