Book Review
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MathSciNet review:
1566649
Full text of review:
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This review is available free of charge.
Book Information:
Author:
Serge Lang
Title:
Algebraic Number Theory
Additional book information:
Addison-Wesley, Reading, Mass., 1970, $14.95.
Ivan Singer, Cea mai bună aproximare în spaţii vectoriale normate prin elemente din subspaţii vectoriale, Editura Academiei Republicii Socialiste România, Bucharest, 1967 (Romanian). MR 0235368
Ivan Singer, Cea mai bună aproximare în spaţii vectoriale normate prin elemente din subspaţii vectoriale, Editura Academiei Republicii Socialiste România, Bucharest, 1967 (Romanian). MR 0235368
S. Paszkowski, The theory of uniform approximation. I. Non-asymptotic theoretical problems, Rozprawy Mat. 26 (1962), 177. MR 145251
N. I. Achieser, Theory of approximation, Frederick Ungar Publishing Co., New York, 1956. Translated by Charles J. Hyman. MR 0095369
G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, New York-Chicago, Ill.-Toronto, Ont., 1966. MR 0213785
Harold S. Shapiro, Topics in approximation theory, Lecture Notes in Mathematics, Vol. 187, Springer-Verlag, Berlin-New York, 1971. With appendices by Jan Boman and Torbjörn Hedberg. MR 0437981
E. W. Cheney and D. E. Wulbert, The existence and unicity of best approximations, Math. Scand. 24 (1969), 113–140. MR 261241, DOI 10.7146/math.scand.a-10925
A. J. Lazar, D. E. Wulbert, and P. D. Morris, Continuous selections for metric projections, J. Functional Analysis 3 (1969), 193–216. MR 0241952, DOI 10.1016/0022-1236(69)90040-8
D. A. Ault, F. R. Deutsch, P. D. Morris, and J. E. Olson, Interpolating subspaces in approximation theory, J. Approximation Theory 3 (1970), 164–182. MR 279506, DOI 10.1016/0021-9045(70)90025-0
Bruno Brosowski and Rudolf Wegmann, Charakterisierung bester Approximationen in normierten Vektorräumen, J. Approximation Theory 3 (1970), 369–397 (German). MR 277980, DOI 10.1016/0021-9045(70)90041-9
1. Sir A. C. Doyle, "The adventure of the dancing men" in The return of Sherlock Holmes.
Larry Joel Goldstein, Analytic number theory, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1971. MR 0498335
André Weil, Sur les “formules explicites” de la théorie des nombres premiers, Comm. Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.] 1952 (1952), no. Tome Supplémentaire, 252–265 (French). MR 53152
- 1.
- A. B. Németh, Review of I, Singer, Best approximation in normed vector spaces by elements of vector subspaces, Editura Academiei Republicii Socialiste Romania, Bucharest, 1967. (Romanian) Zbl 1968 # 154. MR 0235368
- 2.
- J. Horváth, Review of I. Singer, Best approximation in normed vector spaces by elements of vector subspaces, Editura Academiei Republicii Socialiste Romania, Bucharest, 1967. (Romanian) MR 38 # 3677. MR 235368
- 3.
- S. Paszkowski, The theory of uniform approximation, I. Nonasymptotic theoretical problems, Rozprawy Mat. 26 (1962), 177 pp. MR 26 #2784. MR 145251
- 4.
- N. I. Ahiezer, Lectures on the theory of approximation, OGIZ, Moscow, 1947; English transl., Ungar, New York, 1956. MR 10, 33; MR 20 # 1872. MR 95369
- 5.
- G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, New York, 1966. MR 35 #4642. MR 213785
- 6.
- H. Shapiro, Topics in approximation theory, Lecture Notes in Math., no. 187, Springer-Verlag, Berlin, 1971. MR 437981
- 7.
- E. W. Cheney and D. E. Wulbert, The existence and unicity of best approximations, Math. Scand. 24 (1969), 113-140. MR 41 # 5857. MR 261241
- 8.
- A. J. Lazar, D. E. Wulbert and P. D. Morris, Continuous selections for metric projections, J Functional Analysis 3 (1969), 193-216. MR 39 #3288. MR 241952
- 9.
- D. A. Ault, F. R. Deutsch, P. D. Morris and J. E. Olson, Interpolating subspaces in approximation theory, J Approximation Theory 3 (1970), 164-182. MR 279506
- 10.
- B. Brosowski and R. Wegman, Characterisierung bester Approximationen in normierten Vektorräumen, J. Approximation Theory 3 (1970), 369-397. MR 277980
- 1.
- Sir A. C. Doyle, "The adventure of the dancing men" in The return of Sherlock Holmes.
- 2.
- L. Goldstein, Analytic number theory, Prentice-Hall, Englewood Cliffs, N.J., 1971. MR 498335
- 3.
- A. Weil, Sur les "formules explicites" de la théorie des nombres premiers, Comm. Sém. Math. Univ. Lund Tome Supplémentaire 1952, 252-265. MR 14, 727. MR 53152
Review Information:
Reviewer:
Lawrence Corwin
Journal:
Bull. Amer. Math. Soc.
78 (1972), 690-693
DOI:
https://doi.org/10.1090/S0002-9904-1972-12984-7
