Franklin: Record - Introduction to calculus and classical analysis / Omar Hijab.

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Introduction to calculus and classical analysis / Omar Hijab.

Author/Creator:
Hijab, O.
Edition:
3rd ed.
Publication:
New York : Springer, c2011
Series:
Undergraduate texts in mathematics.
Undergraduate texts in mathematics
Format/Description:
Book
xii, 363 p. : ill. ; 25 cm.
Subjects:
Calculus.
Mathematical analysis.
Contents:
1. The set of real numbers. Sets and mappings
The set R
The subset N and the principle of induction
The completeness property
Sequences and limits
Nonnegative series and decimal expansions
Signed series and Cauchy sequences
2. Continuity. Compactness
Continuous limits
Continuous functions
3. Differentiation. Derivatives
Mapping properties
Graphing techniques
Power series
Trigonometry
Primitives
4. Integration. The Cantor set
Area
The integral
The fundamental theorem of calculus
The method of exhaustion
5. Applications. Euler's gamma function
The number [Greek letter pi]
Gauss' arithmetic-geometric mean (AGM)
The Gaussian integral
Stirling's approximation of n!
Infinite products
Jacobi's theta functions
Riemann's zeta function
The Euler-Maclaurin formula
A. Solutions. A.1. Solutions to Chapter 1
A.2. Solutions to Chapter 2
A.3. Solutions to Chapter 3
A.4. Solutions to Chapter 4
A.5. Solutions to Chapter 5
References
Index.
Notes:
Includes bibliographical references (p. 357) and index.
Local notes:
Acquired for the Penn Libraries with assistance from the Elizabeth Bowers Peck, 1929 Endowment Book Fund.
Contributor:
Elizabeth Bowers Peck, 1929 Endowment Book Fund.
ISBN:
1441994874
9781441994875
Publisher no.:
99944158347
Web link:
The Elizabeth Bowers Peck, 1929 Endowment Book Fund Home Page
The Elizabeth Bowers Peck, 1929 Endowment Book Fund Home Page  Bookplate