## Contents of Volume 35, Number 1

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- Systems of linear difference equations and expansions in series of exponential functions
- R. D. Carmichael PDF
- Trans. Amer. Math. Soc.
**35**(1933), 1-28

- Convergence criteria for double Fourier series
- J. J. Gergen PDF
- Trans. Amer. Math. Soc.
**35**(1933), 29-63

- On the numerators of the convergents of the Stieltjes continued fractions
- Jacob Sherman PDF
- Trans. Amer. Math. Soc.
**35**(1933), 64-87

- Three-dimensional manifolds and their Heegaard diagrams
- James Singer PDF
- Trans. Amer. Math. Soc.
**35**(1933), 88-111

- Non-cyclic algebras of degree and exponent four
- A. Adrian Albert PDF
- Trans. Amer. Math. Soc.
**35**(1933), 112-121

- On abelian fields
- Leonard Carlitz PDF
- Trans. Amer. Math. Soc.
**35**(1933), 122-136

- On the derivatives of Newtonian and logarithmic potentials near the acting masses
- Mildred M. Sullivan PDF
- Trans. Amer. Math. Soc.
**35**(1933), 137-171

- The degree of convergence of a series of Bessel functions
- M. G. Scherberg PDF
- Trans. Amer. Math. Soc.
**35**(1933), 172-183

- On the properties of polynomials satisfying a linear differential equation. I
- I. M. Sheffer PDF
- Trans. Amer. Math. Soc.
**35**(1933), 184-214

- On the resultant of a system of forms homogeneous in each of several sets of variables
- Neal H. McCoy PDF
- Trans. Amer. Math. Soc.
**35**(1933), 215-233

- An axiomatic basis for plane geometry
- Stewart S. Cairns PDF
- Trans. Amer. Math. Soc.
**35**(1933), 234-244

- Proof of the fundamental theorems on second-order cross partial derivatives
- A. E. Currier PDF
- Trans. Amer. Math. Soc.
**35**(1933), 245-253

- The cancellation law in the theory of congruences to a double modulus
- Morgan Ward PDF
- Trans. Amer. Math. Soc.
**35**(1933), 254-260

- A characterization of the closed $2$-cell
- Hassler Whitney PDF
- Trans. Amer. Math. Soc.
**35**(1933), 261-273

- New sets of independent postulates for the algebra of logic, with special reference to Whitehead and Russellâ€™s
*Principia mathematica* - Edward V. Huntington PDF
- Trans. Amer. Math. Soc.
**35**(1933), 274-304

- Sufficient conditions for a problem of Mayer in the calculus of variations
- G. A. Bliss and M. R. Hestenes PDF
- Trans. Amer. Math. Soc.
**35**(1933), 305-326

- The total variation of $g(x+h)-g(x)$
- Norbert Wiener and R. C. Young PDF
- Trans. Amer. Math. Soc.
**35**(1933), 327-340