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11: Peter A. Clarkson

… ► Kruskal, he developed the “direct method” for determining symmetry solutions of partial differential equations in New similarity reductions of the Boussinesq equation (with M. …His well-known book Solitons, Nonlinear Evolution Equations and Inverse Scattering (with M. …He is also coauthor of the book From Nonlinearity to Coherence: Universal Features of Nonlinear Behaviour in Many-Body Physics (with J. …

12: Ranjan Roy

… ►(1974) degrees in mathematics from the Indian Institute of Technology Kharagpur, Indian Institute of Technology Kanpur, and the State University of New York at Stony Brook, respectively. … ►He is coauthor of the well-known book Special Functions (with G. …He also authored another two advanced mathematics books: Sources in the development of mathematics (Roy, 2011), Elliptic and modular functions from Gauss to Dedekind to Hecke (Roy, 2017). …

13: Bibliography R

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Topics in Analytic Number Theory. Springer-Verlag, New York.

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Notes:

Edited by E. Grosswald, J. Lehner and M. Newman, Die Grundlehren der mathematischen Wissenschaften, Band 169

External Links:

MathReview (H. Halberstam), ZentralBlatt

Referenced by:

§1.8(iv), §20.7(viii), §20.7(viii), Ch.24.

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Functional analysis. Dover Books on Advanced Mathematics, Dover Publications, Inc., New York.

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Notes:

Translated from the second French edition by Leo F. Boron, Reprint of the 1955 original

External Links:

ISBN 0-486-66289-6, MathReview Entry

Referenced by:

§1.18(i), §1.4(v), §1.4(v).

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Real and complex analysis. McGraw-Hill Book Co., New York-Toronto, Ont.-London.

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External Links:

MathReview (R. E. Edwards)

Referenced by:

§1.2(v), §1.4(v), §1.5(v).

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Functional Analysis. McGraw-Hill Book Co., New York.

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Notes:

McGraw-Hill Series in Higher Mathematics

External Links:

MathReview (F. Smithies), ZentralBlatt

Referenced by:

§1.18(x), §2.6(i).

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Principles of Mathematical Analysis. 3rd edition, McGraw-Hill Book Co., New York.

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Notes:

International Series in Pure and Applied Mathematics

External Links:

MathReview, ZentralBlatt

Referenced by:

§1.4(iii).

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14: Tom M. Apostol

… ►He was internationally known for his textbooks on calculus, analysis, and analytic number theory, which have been translated into five languages, and for creating Project MATHEMATICS!, a series of video programs that bring mathematics to life with computer animation, live action, music, and special effects. …His complete list of publications contains numerous articles and research papers (fifty of them published since he became Emeritus in 1992), as well as sixty-one books, sixteen videotapes, and nine DVD’s. … ►In 1998, the Mathematical Association of America (MAA) awarded him the annual Trevor Evans Award, presented to authors of an exceptional article that is accessible to undergraduates, for his piece entitled “What Is the Most Surprising Result in Mathematics?” (Answer: the prime number theorem). …In addition, he was the co-author of New Horizons in Geometry, published by the MAA, which received the CHOICE “Outstanding Academic Title” award in 2013. … ►

27 Functions of Number Theory

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15: Mark J. Ablowitz

… ► 1945 in New York, NY) is a Professor of Applied Mathematics at the University of Colorado, Boulder. …Some of the relationships between IST and Painlevé equations are discussed in two books: Solitons and the Inverse Scattering Transform and Solitons, Nonlinear Evolution Equations and Inverse Scattering. … ►Ablowitz has written five books, more than 240 refereed journal articles and has been invited to lecture at hundreds of universities, conferences and laboratories throughout the world. …

16: William P. Reinhardt

… ►Older work on the scattering theory of the atomic Coulomb problem led to the discovery of new classes of orthogonal polynomials relating to the spectral theory of Schrödinger operators, and new uses of old ones: this work was strongly motivated by his original ownership of a 1964 hard copy printing of the original AMS 55 NBS Handbook of Mathematical Functions. … ►This is closely connected with his interests in classical dynamical “chaos,” an area where he coauthored a book, Chaos in atomic physics with Reinhold Blümel. …

17: Bibliography H

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Elliptic Integrals. Dover Publications Inc., New York.

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Notes:

Unaltered reprint of original edition published by Wiley, New York, 1917.

External Links:

MathReview Entry, ZentralBlatt

Referenced by:

§19.8(ii).

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An Introduction to the Theory of Numbers. 5th edition, The Clarendon Press Oxford University Press, New York-Oxford.

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External Links:

ISBN 0-19-853170-2; 0-19-853171-0, MathReview (T. M. Apostol), ZentralBlatt

Referenced by:

§20.12(i), Ch.27.

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Introduction to Numerical Analysis. 2nd edition, McGraw-Hill Book Co., New York.

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Notes:

Reprinted by Dover Publications Inc., New York, 1987.

External Links:

ISBN 0-486-65363-3, MathReview, ZentralBlatt

Referenced by:

§3.3(iii), §3.3(iv), §3.3(v), §3.4(i), §3.8(v), Ch.3.

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Ordinary Differential Equations in the Complex Domain. Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York.

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Notes:

Reprinted by Dover Publications Inc., New York, 1997

External Links:

ISBN 0-471-39964-7, MathReview (S. Strelitz), ZentralBlatt

Referenced by:

§16.8(i), §32.2(i).

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The Theory of Spherical and Ellipsoidal Harmonics. Cambridge University Press, London-New York.

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Notes:

Reprinted by Chelsea Publishing Company, New York, 1955 and 1965.

External Links:

ISBN 0-8284-0104-7, MathReview, ZentralBlatt

Referenced by:

§14.1, §14.11, §14.16(ii), §14.16(iii), §14.20(x), §14.27, §14.27, §14.3(i), §14.3(i), Ch.14, §29.18(iii), Ch.29.

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18: Bibliography J

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Classical Electrodynamics. 3rd edition, John Wiley & Sons Inc., New York.

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External Links:

ISBN 0-471-30932-X, MathReview (T. Kahan), ZentralBlatt

Referenced by:

§10.73(i), §10.73(i), §10.73(ii).

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The Theory of Electromagnetism. International Series of Monographs on Pure and Applied Mathematics, Vol. 47. A Pergamon Press Book, The Macmillan Co., New York.

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External Links:

MathReview (W. E. Williams), ZentralBlatt

Referenced by:

§23.21(iii).

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Acoustic and Electromagnetic Waves. Oxford Science Publications, The Clarendon Press Oxford University Press, New York.

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External Links:

ISBN 0-19-853365-9, MathReview (John A. DeSanto)

Referenced by:

§10.73(i).

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Calculus of Finite Differences. Hungarian Agent Eggenberger Book-Shop, Budapest.

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Notes:

Third edition published in 1965 by Chelsea Publishing Co., New York, and American Mathematical Society, AMS Chelsea Book Series, Providence, RI

External Links:

MathReview (W. E. Milne), ZentralBlatt

Referenced by:

§26.1, §26.1, §26.8(vii), §5.16, Notations S.

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Angular Momentum Theory for Diatomic Molecules. Academic Press, New York.

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External Links:

ISBN 0-12-391950-9

Referenced by:

§30.12, §34.12, Profile Brian R. Judd.

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19: Bibliography I

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Theta Functions. Springer-Verlag, New York.

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Notes:

Die Grundlehren der mathematischen Wissenschaften, Band 194

External Links:

ISBN 3540056998, MathReview (H. Klingen), ZentralBlatt

Referenced by:

§21.5(ii), §21.8, Ch.21.

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Ordinary Differential Equations. Longmans, Green and Co., London.

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Notes:

Reprinted by Dover Publications, New York, 1944, 1956.

External Links:

MathReview, ZentralBlatt

Referenced by:

§1.13(i), §1.13(i), §1.13(i), §31.12, §31.14(i), §32.2(i), §32.2(vi), Erratum (V1.0.25) for Section 1.13.

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A Classical Introduction to Modern Number Theory. 2nd edition, Springer-Verlag, New York.

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External Links:

ISBN 0-387-97329-X, MathReview (Glenn Stevens), ZentralBlatt

Referenced by:

§24.10(i), §24.10(ii), §24.10(iii), §24.17(iii).

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Quantum Field Theory. International Series in Pure and Applied Physics, McGraw-Hill International Book Co., New York.

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Notes:

Reprinted by Dover, 2006.

External Links:

ISBN 0-07-032071-3, MathReview (V. E. Korepin)

Referenced by:

§22.19(ii).

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The Riemann Zeta-Function. A Wiley-Interscience Publication, John Wiley & Sons Inc., New York.

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Notes:

Reprinted by Dover, 2003.

External Links:

ISBN 0-471-80634-X, MathReview (S. W. Graham), ZentralBlatt

Referenced by:

(25.2.4), (25.2.5), §25.2(i), §25.2(ii), §25.2, Ch.25.

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20: Bibliography S

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The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions. 2nd edition, Graduate Texts in Mathematics, Vol. 203, Springer-Verlag, New York.

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Notes:

First edition published by Wadsworth & Brooks/Cole Advanced Books & Software, 1991.

External Links:

ISBN 0-387-95067-2, MathReview, ZentralBlatt

Referenced by:

§26.19.

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Differential Equations with Applications and Historical Notes. McGraw-Hill Book Co., New York.

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Notes:

International Series in Pure and Applied Mathematics

External Links:

MathReview (J. S. Joel), ZentralBlatt

Referenced by:

§1.13(iii).

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Microwave Transmission. McGraw-Hill Book Co., New York.

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Notes:

Reprinted by Dover Publications Inc., New York, 1960.

External Links:

MathReview (H. Bremmer), ZentralBlatt

Referenced by:

§10.73(i).

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Introduction to Riemann Surfaces. Addison-Wesley Publishing Company, Reading, Massachusetts.

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Notes:

A second edition was published in 1981 (Chelsea Publishing Co., New York, and AMS Chelsea Book Series, American Mathematical Society, Providence, Rhode Island)

External Links:

MathReview (L. Sario), ZentralBlatt (H. Wittich)

Referenced by:

§21.7(i).

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New Fortran programs for angular momentum coefficients. Comput. Phys. Comm. 15 (3-4), pp. 227–235.

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External Links:

Document

Referenced by:

§34.13.

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