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1

Surprising Geometric Properties of Exponential Functions

Tom M. Apostol and Mamikon Mnatsakanian

Journal:

Year:

1998

Language:

english

File:

PDF, 650 KB

english, 1998

2

An Elementary View of Euler's Summation Formula

Journal:

American Mathematical Monthly

Year:

1999

Language:

english

File:

PDF, 775 KB

english, 1999

3

Scattering of the electromagnetic waves from a rough surface

Journal:

Journal of Modern Optics

Year:

2012

Language:

english

File:

PDF, 165 KB

english, 2012

4

Cycloidal Areas without Calculus

TOM M. APOSTOL and MAMIKON A. MNATSAKANIAN

Journal:

Year:

1999

Language:

english

File:

PDF, 1.03 MB

english, 1999

5

A proof that euler missed: evaluating ζ(2) the easy way

Journal:

The Mathematical Intelligencer

Year:

1983

Language:

english

File:

PDF, 1.20 MB

english, 1983

6

Good Rational Approximations to Logarithms

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

College Mathematics Journal

Year:

2001

Language:

english

File:

PDF, 631 KB

english, 2001

7

A Fresh Look at the Method of Archimedes

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2004

Language:

english

File:

PDF, 698 KB

english, 2004

8

Dirichlet series related to the Riemann zeta function

Tom M. Apostol, Thiennu H. Vu

Journal:

Journal of Number Theory

Year:

1984

Language:

english

File:

PDF, 664 KB

english, 1984

9

What Is the Most Surprising Result in Mathematics?

Journal:

Year:

1996

Language:

english

File:

PDF, 1.73 MB

english, 1996

10

Irrationality of The Square Root of Two -- A Geometric Proof

Journal:

American Mathematical Monthly

Year:

2000

Language:

english

File:

PDF, 141 KB

english, 2000

11

A Primer on Bernoulli Numbers and Polynomials

Journal:

Mathematics Magazine

Year:

2008

Language:

english

File:

PDF, 800 KB

english, 2008

12

A New Look at Surfaces of Constant Curvature

Tom M. Apostol,, Mamikon A. Mnatsakanian,

Journal:

American Mathematical Monthly

Year:

2016

Language:

english

File:

PDF, 833 KB

english, 2016

13

Ellipse to Hyperbola: “With This String I Thee Wed”

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

Mathematics Magazine

Year:

2011

Language:

english

File:

PDF, 356 KB

english, 2011

14

[Undergraduate Texts in Mathematics] Introduction to Analytic Number Theory ||

Apostol, Tom M.

Year:

1976

Language:

english

File:

PDF, 19.70 MB

english, 1976

15

A New Look at the So-Called Trammel of Archimedes

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2009

Language:

english

File:

PDF, 1.68 MB

english, 2009

16

Triangles in Rectangles

TOM M. APOSTOL and MAMIKON MNATSAKANIAN

Journal:

Year:

1998

Language:

english

File:

PDF, 658 KB

english, 1998

17

Proof without Words: Surprising Property of Hyperbolas

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

Mathematics Magazine

Year:

2006

Language:

english

File:

PDF, 211 KB

english, 2006

18

Problems

Klamkin, M. S., Apostol, Tom M., Creech, Roger L., Austin, A. K., Motteler, Zane C., Hammer, F. David, Fox, William F., Ørno, Peter, Clark, Robert, Ampe, John, Cherry, Jerome C., Eves, Howard, Philipp

Journal:

Mathematics Magazine

Year:

1980

Language:

english

File:

PDF, 560 KB

english, 1980

19

Surprisingly Accurate Rational Approximations

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

Mathematics Magazine

Year:

2002

Language:

english

File:

PDF, 416 KB

english, 2002

20

[Undergraduate Texts in Mathematics] Introduction to Analytic Number Theory ||

Apostol, Tom M.

Year:

1976

Language:

english

File:

PDF, 19.12 MB

english, 1976

21

Some Explicit Formulas for the Exponential Matrix etA

Journal:

American Mathematical Monthly

Year:

1969

Language:

english

File:

PDF, 458 KB

english, 1969

22

Subtangents -- An Aid to Visual Calculus

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2002

Language:

english

File:

PDF, 428 KB

english, 2002

23

Finding Centroids the Easy Way

TOM M. APOSTOL and MAMIKON A. MNATSAKANIAN

Journal:

Year:

2000

Language:

english

File:

PDF, 1.01 MB

english, 2000

24

Sums of Squares of Distances

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

Year:

2001

Language:

english

File:

PDF, 380 KB

english, 2001

25

Volume/Surface Area Ratios for Globes, with Applications

TOM M. APOSTOL,, MAMIKON A. MNATSAKANIAN,

Journal:

Mathematics Magazine

Year:

2015

Language:

english

File:

PDF, 966 KB

english, 2015

26

Problems

G. A. Heuer, Tom Stratton, David A. Smith, F. David Hammer, K. R. S. Sastry, Peter Orno, V. Frederick Rickey, I. J. Good, D. R. Jensen, William A. McWorter, Jr., Duane Broline, Tom M. Apostol, Roger L

Journal:

Mathematics Magazine

Year:

1981

Language:

english

File:

PDF, 368 KB

english, 1981

27

Tanvolutes: Generalized Involutes

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2010

Language:

english

File:

PDF, 272 KB

english, 2010

28

Problems

Peter Orno, I. J. Good, D. R. Jensen, M. S. Klamkin, M. V. Subbarao, D. A. Moran, Michael Finn, Edward T. H. Wang, Robert L. Young, Tom M. Apostol, H. Kestelman, Joseph S. Weening, Eric Mendelsohn, St

Journal:

Mathematics Magazine

Year:

1980

Language:

english

File:

PDF, 609 KB

english, 1980

29

What Is the Most Surprising Result in Mathematics? Part II

Journal:

Year:

1997

Language:

english

File:

PDF, 1.16 MB

english, 1997

30

The method of sweeping tangents

TOM M. APOSTOL and MAMIKON A. MNATSAKANIAN

Journal:

The Mathematical Gazette

Year:

2008

Language:

english

File:

PDF, 1.52 MB

english, 2008

31

Unwrapping Curves from Cylinders and Cones

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2007

Language:

english

File:

PDF, 2.27 MB

english, 2007

32

87.02 Sums of Consecutive Positive Integers

Journal:

The Mathematical Gazette

Year:

2003

Language:

english

File:

PDF, 464 KB

english, 2003

33

Complete Dissections: Converting Regions and Their Boundaries

Tom M. Apostol, Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2011

Language:

english

File:

PDF, 260 KB

english, 2011

34

Tangents and Subtangents Used to Calculate Areas

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2002

Language:

english

File:

PDF, 471 KB

english, 2002

35

[Graduate Texts in Mathematics] Modular Functions and Dirichlet Series in Number Theory Volume 41 ||

Apostol, Tom M.

Year:

1990

Language:

english

File:

PDF, 13.44 MB

english, 1990

36

New Descriptions of Conics via Twisted Cylinders, Focal Disks, and Directors

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2008

Language:

english

File:

PDF, 1.67 MB

english, 2008

37

Figures Circumscribing Circles

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2004

Language:

english

File:

PDF, 373 KB

english, 2004

38

Area & Arc Length of Trochogonal Arches

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

Year:

2003

Language:

english

File:

PDF, 1.34 MB

english, 2003

39

Problems

Richard Dowds, William A. McWorter, Jr., Robert Clark, Roger L. Creech, Alan Wayne, Robert Patenaude, M. S. Klamkin, G. A. Heuer, Karl Heuer and Tom M. Apostol

Journal:

Mathematics Magazine

Year:

1981

Language:

english

File:

PDF, 298 KB

english, 1981

40

Isoperimetric and Isoparametric Problems

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2004

Language:

english

File:

PDF, 821 KB

english, 2004

41

The Mechanical Universe: Introduction to Mechanics and Heat and Beyond the Mechanical Universe: From Electricity to Modern Physics and The Mechanical Universe: Mechanics and Heat (Advanced Edition)

Olenick, Richard P., Apostol, Tom M., Goodstein, David L., Frautschi, Steven C., French, Anthony P.

Journal:

Year:

1987

Language:

english

File:

PDF, 1.40 MB

english, 1987

42

Elementary proof of the transformation formula for Lambert series involving generalized Dedekind sums

Journal:

Journal of Number Theory

Year:

1982

Language:

english

File:

PDF, 402 KB

english, 1982

43

New approach to thermal power plants operation regimes maximum power versus maximum efficiency

Vsevolod Radcenco, Elena Eugenia Vasilescu, Gheorghe Popescu, Valentin Apostol

Journal:

International Journal of Thermal Sciences

Year:

2007

Language:

english

File:

PDF, 251 KB

english, 2007

44

Social media use by government: From the routine to the critical

Kavanaugh, Andrea L., Fox, Edward A., Sheetz, Steven D., Yang, Seungwon, Li, Lin Tzy, Shoemaker, Donald J., Natsev, Apostol, Xie, Lexing

Journal:

Government Information Quarterly

Year:

2012

Language:

english

File:

PDF, 1.83 MB

english, 2012

45

Ptolemy's Inequality and the Chordal Metric

Journal:

Mathematics Magazine

Year:

1967

Language:

english

File:

PDF, 341 KB

english, 1967

46

New Insight into Cycloidal Areas

Tom M. Apostol and Mamikon A. Mnatsakanian

Journal:

American Mathematical Monthly

Year:

2009

Language:

english

File:

PDF, 1.64 MB

english, 2009

47

The Elements of Real Analysis.

Apostol, T. M., Bartl, Robert G.

Journal:

American Mathematical Monthly

Year:

1966

Language:

english

File:

PDF, 236 KB

english, 1966

48

A Note on Periodic Completely Multiplicative Arithmetical Functions

Journal:

American Mathematical Monthly

Year:

1976

Language:

english

File:

PDF, 299 KB

english, 1976

49

Formulas for Higher Derivatives of the Riemann Zeta Function

Journal:

Mathematics of Computation

Year:

1985

Language:

english

File:

PDF, 735 KB

english, 1985

50

Sums of squares of integers in arithmetic progression

Apostol, Tom M., Mnatsakanian, Mamikon A.

Journal:

The Mathematical Gazette

Year:

2011

Language:

english

File:

PDF, 372 KB

english, 2011

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