# zbMATH — the first resource for mathematics

## Dover Books on Advanced Mathematics

 Short Title: Dover Books Adv. Math. Publisher: Dover Publications, Mineola, NY Comments: Book series; No longer indexed
 Documents Indexed: 38 Publications (1959–1992)

all top 5

#### Authors / Editors

 2 Saaty, Thomas L. 2 Shilov, Georgiĭ Evgen’evich 1 Barker, George Phillip 1 Boyer, Carl B. 1 Broman, Arne 1 Cartan, Élie 1 Cohn, Harvey 1 Cullen, Charles G. 1 Davis, Philip J. 1 Dubins, Lester E. 1 Evgrafov, M. A. 1 Flanders, Harley 1 Gel’fand, Israil’ Moiseevich 1 Guggenheimer, Heinrich Walter 1 Gurevich, B. L. 1 Karrass, Abraham 1 Katznelson, Yitzhak 1 Knopfmacher, John 1 Lavrent’ev, Mikhail Alekseevich 1 LeVeque, William Judson 1 Magnus, Wilhelm 1 Mendelson, Bert 1 Nef, Walter 1 Pedoe, Dan 1 Pettofrezzo, Anthony J. 1 Riesz, Frigyes 1 Rivlin, Theodore Joseph 1 Ross, Sheldon Mark 1 Rozanov, Yuriĭ Anatol’evich 1 Sanchez, David A. 1 Savage, Leonard Jimmie 1 Schneider, Hans 1 Snapper, Ernst 1 Solitar, Donald M. 1 Struik, Dirk Jan 1 Synge, John Lighton 1 Szőkefalvi-Nagy, Béla 1 Troyer, Robert J. 1 Warner, Seth 1 Weinstock, Robert 1 Widder, David Vernon 1 Wilf, Herbert S. 1 Yale, Paul B.
all top 5

#### Fields

 7 Linear and multilinear algebra; matrix theory (15-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 3 Operations research, mathematical programming (90-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

35 Publications have been cited 1,224 times in 1,220 Documents Cited by Year
An introduction to harmonic analysis. 2nd corr. ed. Zbl 0352.43001
Katznelson, Yitzhak
1976
Combinatorial group theory. Presentations of groups in terms of generators and relations. 2nd rev. ed. Zbl 0362.20023
Magnus, Wilhelm; Karrass, Abraham; Solitar, Donald
1976
Interpolation and approximation. 2nd ed. Zbl 0329.41010
Davis, Philip J.
1975
Functional analysis. Transl. from the 2nd French ed. by Leo F. Boron. Reprint of the 1955 orig. publ. by Ungar Publ. Co. Zbl 0732.47001
Riesz, Frigyes; Sz.-Nagy, Béla
1990
Lectures on classical differential geometry. 2nd ed. Zbl 0697.53002
Struik, Dirk J.
1988
Differential forms with applications to the physical sciences. Unabridged, corr. republ. of the orig., publ. by Academic Press, 1963. Zbl 0733.53002
Flanders, Harley
1989
Inequalities for stochastic processes. How to gamble if you must. 2nd ed. Zbl 0359.60002
Dubins, Lester E.; Savage, Leonard J.
1976
Calculus of variations. With applications to physics and engineering. Unabridged and corrected republication. Zbl 0296.49001
Weinstock, Robert
1974
An introduction to the approximation of functions. Corr. reprint of the 1969 orig. Zbl 0489.41001
Rivlin, Theodore J.
1981
Geometry. A comprehensive course. Repr. of the orig., publ. by Cambridge University Press, 1970. Zbl 0716.51002
Pedoe, Dan
1988
Applied probability models with optimization applications. Reprint of the 1970 original ed. Zbl 1191.60001
Ross, Sheldon M.
1992
Abstract analytic number theory. 2nd ed. Zbl 0743.11002
Knopfmacher, John
1990
The theory of spinors. Foreword by Raymond Streater. Reprint of the 1966 English transl. from the French. Zbl 0489.53010
Cartan, Elie
1981
Differential geometry. 2nd ed. Zbl 0357.53002
Guggenheimer, Heinrich W.
1977
Tensor calculus. Repr. from corr. ed. 1969 (Univ. of Toronto Press). Zbl 0403.53008
Synge, J. L.; Schild, A.
1978
Advanced calculus. 2nd ed., repr. of the orig., publ. by Englewood Cliffs, 1961. Zbl 0728.26002
Widder, David V.
1989
The history of the calculus and its conceptual development. (The concepts of the calculus.) With a foreword by R. Courant. Zbl 0095.00302
Boyer, Carl B.
1959
Modern nonlinear equations. Corr. reprint of the 1967 orig. Zbl 0546.00003
Saaty, Thomas L.
1981
Integral, measure and derivative: a unified approach. Rev. Engl. ed. Translated from Russian and edited by Richard A. Silverman. Zbl 0391.28007
Shilov, G. E.; Gurevich, B. L.
1977
Mathematics for the physical sciences. Unabridged republication of 1962 original. Zbl 0394.00001
Wilf, Herbert S.
1978
Analytic functions. Translated by Scripta Technica, Inc. Edited by Bernard G. Gelbaum. Unabr. republ. of Engl. transl., orig. publ. by W. B. Saunders, Philadelphia 1966. Zbl 0395.30002
Evgrafov, M. A.
1978
Matrices and linear transformations. Reprint of the 2nd ed. Zbl 0724.15002
Cullen, Charles G.
1990
Introduction to topology. Reprint of the 3rd ed. Zbl 0722.54002
Mendelson, Bert
1990
Elementary theory of numbers. Reprint of the orig. publ. by Addison-Wesley 1962. Zbl 0725.11001
LeVeque, William J.
1990
Ordinary differential equations and stability theory. An introduction. Republ. of 1968 orig. publ. by Freeman and Company. Zbl 0465.34001
Sanchez, David A.
1979
Conformal mapping on Riemann surfaces. Reprint of the 1967 ed. by McGraw- Hill Book Company. Zbl 0493.30001
Cohn, Harvey
1980
Probability theory. A concise course. Rev. ed. Translated from the Russian and edited by Richard A. Silverman. Zbl 0397.60001
Rozanov, Ju. A.
1977
Metric affine geometry. Reprint of the Orig., publ. by Academic Press 1971. Zbl 0743.51003
Snapper, Ernst; Troyer, Robert J.
1989
Linear algebra. Transl. from the German by J. C. Ault. Reprint. Zbl 0694.15001
Nef, Walter
1988
Geometry and symmetry. Reprint. Zbl 0701.51001
Yale, Paul B.
1988
Matrices and transformations. Republ. of orig. publ. by Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. Zbl 0397.15002
Pettofrezzo, Anthony J.
1978
Lectures on linear algebra. Transl. from the 2nd Russian edition by A. Shenitzer. Reprint of the 1961 translation, publ. by Interscience Publishers. Zbl 0717.15001
Gel’fand, I. M.
1989
Mathematical methods of operations research. Repr. of the orig., publ. by McGraw-Hill, 1959. Zbl 0745.90025
Saaty, Thomas L.
1988
Matrices and linear algebra. 2nd ed., repr. of the orig., publ. by Holt, Rinehart and Winston, 1973. Zbl 0716.15001
Schneider, Hans; Barker, George Phillip
1989
An introduction to the theory of linear spaces. Translated from the Russian by Richard A. Silverman. Zbl 0287.15002
Shilov, Georgij E.
1974
Applied probability models with optimization applications. Reprint of the 1970 original ed. Zbl 1191.60001
Ross, Sheldon M.
1992
Functional analysis. Transl. from the 2nd French ed. by Leo F. Boron. Reprint of the 1955 orig. publ. by Ungar Publ. Co. Zbl 0732.47001
Riesz, Frigyes; Sz.-Nagy, Béla
1990
Abstract analytic number theory. 2nd ed. Zbl 0743.11002
Knopfmacher, John
1990
Matrices and linear transformations. Reprint of the 2nd ed. Zbl 0724.15002
Cullen, Charles G.
1990
Introduction to topology. Reprint of the 3rd ed. Zbl 0722.54002
Mendelson, Bert
1990
Elementary theory of numbers. Reprint of the orig. publ. by Addison-Wesley 1962. Zbl 0725.11001
LeVeque, William J.
1990
Differential forms with applications to the physical sciences. Unabridged, corr. republ. of the orig., publ. by Academic Press, 1963. Zbl 0733.53002
Flanders, Harley
1989
Advanced calculus. 2nd ed., repr. of the orig., publ. by Englewood Cliffs, 1961. Zbl 0728.26002
Widder, David V.
1989
Metric affine geometry. Reprint of the Orig., publ. by Academic Press 1971. Zbl 0743.51003
Snapper, Ernst; Troyer, Robert J.
1989
Lectures on linear algebra. Transl. from the 2nd Russian edition by A. Shenitzer. Reprint of the 1961 translation, publ. by Interscience Publishers. Zbl 0717.15001
Gel&rsquo;fand, I. M.
1989
Matrices and linear algebra. 2nd ed., repr. of the orig., publ. by Holt, Rinehart and Winston, 1973. Zbl 0716.15001
Schneider, Hans; Barker, George Phillip
1989
Lectures on classical differential geometry. 2nd ed. Zbl 0697.53002
Struik, Dirk J.
1988
Geometry. A comprehensive course. Repr. of the orig., publ. by Cambridge University Press, 1970. Zbl 0716.51002
Pedoe, Dan
1988
Linear algebra. Transl. from the German by J. C. Ault. Reprint. Zbl 0694.15001
Nef, Walter
1988
Geometry and symmetry. Reprint. Zbl 0701.51001
Yale, Paul B.
1988
Mathematical methods of operations research. Repr. of the orig., publ. by McGraw-Hill, 1959. Zbl 0745.90025
Saaty, Thomas L.
1988
An introduction to the approximation of functions. Corr. reprint of the 1969 orig. Zbl 0489.41001
Rivlin, Theodore J.
1981
The theory of spinors. Foreword by Raymond Streater. Reprint of the 1966 English transl. from the French. Zbl 0489.53010
Cartan, Elie
1981
Modern nonlinear equations. Corr. reprint of the 1967 orig. Zbl 0546.00003
Saaty, Thomas L.
1981
Conformal mapping on Riemann surfaces. Reprint of the 1967 ed. by McGraw- Hill Book Company. Zbl 0493.30001
Cohn, Harvey
1980
Ordinary differential equations and stability theory. An introduction. Republ. of 1968 orig. publ. by Freeman and Company. Zbl 0465.34001
Sanchez, David A.
1979
Tensor calculus. Repr. from corr. ed. 1969 (Univ. of Toronto Press). Zbl 0403.53008
Synge, J. L.; Schild, A.
1978
Mathematics for the physical sciences. Unabridged republication of 1962 original. Zbl 0394.00001
Wilf, Herbert S.
1978
Analytic functions. Translated by Scripta Technica, Inc. Edited by Bernard G. Gelbaum. Unabr. republ. of Engl. transl., orig. publ. by W. B. Saunders, Philadelphia 1966. Zbl 0395.30002
Evgrafov, M. A.
1978
Matrices and transformations. Republ. of orig. publ. by Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. Zbl 0397.15002
Pettofrezzo, Anthony J.
1978
Differential geometry. 2nd ed. Zbl 0357.53002
Guggenheimer, Heinrich W.
1977
Integral, measure and derivative: a unified approach. Rev. Engl. ed. Translated from Russian and edited by Richard A. Silverman. Zbl 0391.28007
Shilov, G. E.; Gurevich, B. L.
1977
Probability theory. A concise course. Rev. ed. Translated from the Russian and edited by Richard A. Silverman. Zbl 0397.60001
Rozanov, Ju. A.
1977
An introduction to harmonic analysis. 2nd corr. ed. Zbl 0352.43001
Katznelson, Yitzhak
1976
Combinatorial group theory. Presentations of groups in terms of generators and relations. 2nd rev. ed. Zbl 0362.20023
Magnus, Wilhelm; Karrass, Abraham; Solitar, Donald
1976
Inequalities for stochastic processes. How to gamble if you must. 2nd ed. Zbl 0359.60002
Dubins, Lester E.; Savage, Leonard J.
1976
Interpolation and approximation. 2nd ed. Zbl 0329.41010
Davis, Philip J.
1975
Calculus of variations. With applications to physics and engineering. Unabridged and corrected republication. Zbl 0296.49001
Weinstock, Robert
1974
An introduction to the theory of linear spaces. Translated from the Russian by Richard A. Silverman. Zbl 0287.15002
Shilov, Georgij E.
1974
The history of the calculus and its conceptual development. (The concepts of the calculus.) With a foreword by R. Courant. Zbl 0095.00302
Boyer, Carl B.
1959
all top 5

#### Cited by 1,837 Authors

 11 Yayli, Yusuf 8 Costabile, Francesco Aldo 7 Chen, Mayru 7 Garcia, Ronaldo A. 7 Sudderth, William D. 6 Sotomayor, Jorge 5 Beneduci, Roberto 5 Humphries, Stephen P. 5 Korpinar, Talat 5 Kyriakidis, Epaminondas G. 5 Otto, Friedrich 5 Parry, Gareth P. 5 Wen, Zhixiong 5 Yu, Fajun 5 Zhang, Yiping 5 Zhang, Zhimin 4 Alkan, Emre 4 Berriochoa, Elías 4 Cachafeiro, Alicia 4 Dubins, Lester E. 4 Gök, İsmail 4 Gonçalves, Daciberg Lima 4 Guaschi, John 4 Himonas, A. Alexandrou 4 Karlovich, Alexeĭ Yur’evich 4 Lucht, Lutz Gerhard 4 Lyons, Russell 4 Maitra, Ashok Prasad 4 Napoli, Anna 4 Ruymgaart, Frits H. 4 Scofield, D. F. 4 Selberg, Sigmund 4 Tan, Bo 4 Teixeira, Fernando L. 4 Trefethen, Lloyd Nicholas 4 Vatchev, Vesselin 4 Yao, Yi-Ching 3 Atzmon, Aharon 3 Băleanu, Dumitru I. 3 Bardakov, Valeriĭ Georgievich 3 Benzinger, Harold E. 3 Berkson, Earl 3 Blei, Ron C. 3 Bourdaud, Gérard 3 Cohen, Guy 3 Dehghan Takht Fooladi, Mehdi 3 Delvos, Franz-Jürgen 3 Ding, Jiu 3 Ghosh, Mrinal Kanti 3 Gillespie, Thomas Alastair 3 Gray, Robert D. 3 Horadam, Kathy J. 3 Hsiau, Shoou-Ren 3 Huq, Pablo 3 Jørgensen, Palle E. T. 3 Jullien, Vincent 3 Karakuş, Fatma 3 Ki, Haseo 3 Kozma, Gady 3 Levenberg, Norman jun. 3 Longo, Elisabetta 3 MacGregor, Thomas H. 3 Makila, Pertti M. 3 Molchanov, Stanislav Alekseevich 3 Myasnikov, Alexei G. 3 Olevskii, Alexander Moiseevich 3 Omelchenko, Yuri A. 3 Önder, Mehmet 3 Pestien, Victor C. 3 Phillips, George M. 3 Purves, Roger Alexander 3 Ricker, Werner Joseph 3 Saha, Subhamay 3 Scarabel, Francesca 3 Shcherbina, Mariya 3 Sherstov, Alexander A. 3 Silver, Daniel S. 3 Simon, Barry 3 Terhesiu, Dalia 3 Tesfahun, Achenef 3 Thomas, Richard M. 3 Wang, Lilian 3 Wreszinski, Walter F. 3 Wu, Jie 3 Yücesan, Ahmet 3 Ziplar, Evren 2 Aczél, János Dezső 2 Agop, Maricel 2 Ahn, Jaeseop 2 Ainsworth, Mark 2 Allasia, Giampietro 2 Alvarez, Enrique E. 2 Anastassiou, George Angelos 2 Antsaklis, Panos J. 2 Asil, Vedat 2 Balan, Radu V. 2 Barros, Manuel 2 Batty, Charles J. K. 2 Baumslag, Gilbert 2 Benedetto, John J. ...and 1,737 more Authors
all top 5

#### Cited in 438 Journals

 71 Transactions of the American Mathematical Society 54 Proceedings of the American Mathematical Society 15 Journal of Mathematical Physics 14 Israel Journal of Mathematics 12 Communications in Mathematical Physics 12 Numerical Algorithms 12 The Journal of Fourier Analysis and Applications 11 International Journal of Theoretical Physics 11 BIT 11 Mathematische Annalen 11 Journal of Scientific Computing 11 Algebraic & Geometric Topology 10 Communications in Algebra 10 Journal of Computational Physics 10 Physics Letters. A 10 Mathematische Zeitschrift 10 Advances in Applied Clifford Algebras 9 Journal of Mathematical Analysis and Applications 9 Rocky Mountain Journal of Mathematics 9 Annales de l’Institut Fourier 9 Journal of Algebra 9 Journal of Applied Probability 9 Results in Mathematics 9 Semigroup Forum 8 Journal of Geometry and Physics 8 Duke Mathematical Journal 8 Journal of Optimization Theory and Applications 8 Numerische Mathematik 8 Linear Algebra and its Applications 8 Journal of Mathematical Sciences (New York) 8 Proceedings of the Steklov Institute of Mathematics 7 International Journal of Control 7 Journal of Statistical Physics 7 Applied Mathematics and Computation 7 Inventiones Mathematicae 7 Journal of Computational and Applied Mathematics 7 Numerical Functional Analysis and Optimization 7 Topology and its Applications 7 International Journal of Computer Mathematics 7 Journal of Elasticity 6 Applicable Analysis 6 Archive for Rational Mechanics and Analysis 6 Journal d’Analyse Mathématique 6 The Annals of Probability 6 Calcolo 6 Integral Equations and Operator Theory 6 Monatshefte für Mathematik 6 SIAM Journal on Numerical Analysis 6 Computer Aided Geometric Design 6 Constructive Approximation 5 Archive for History of Exact Sciences 5 Archiv der Mathematik 5 Journal of Geometry 5 SIAM Journal on Control and Optimization 5 Siberian Mathematical Journal 5 Probability Theory and Related Fields 5 Journal of the American Mathematical Society 5 International Journal of Algebra and Computation 5 European Journal of Operational Research 5 Stochastic Processes and their Applications 5 Advances in Computational Mathematics 5 Integral Transforms and Special Functions 5 Geometry & Topology 5 Boletim da Sociedade Paranaense de Matemática. Terceira Série 5 Mediterranean Journal of Mathematics 5 Foundations of Physics 5 Bulletin of the American Mathematical Society 5 International Electronic Journal of Geometry 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Mathematical Biology 4 Mathematical Notes 4 Arkiv för Matematik 4 Mathematics of Computation 4 Journal of Statistical Planning and Inference 4 Ergodic Theory and Dynamical Systems 4 Physica D 4 Discrete & Computational Geometry 4 Journal of Knot Theory and its Ramifications 4 Journal of Mathematical Chemistry 4 Probability in the Engineering and Informational Sciences 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Acta Mechanica 3 Analysis Mathematica 3 Computers & Mathematics with Applications 3 Discrete Mathematics 3 General Relativity and Gravitation 3 Journal of Engineering Mathematics 3 Chaos, Solitons and Fractals 3 The Mathematical Intelligencer 3 Algebra and Logic 3 The Annals of Statistics 3 Czechoslovak Mathematical Journal 3 Journal of Differential Equations 3 Journal of Functional Analysis 3 Journal of the Mathematical Society of Japan 3 Journal of Number Theory 3 Manuscripta Mathematica 3 Theoretical Computer Science 3 Tohoku Mathematical Journal. Second Series ...and 338 more Journals
all top 5

#### Cited in 63 Fields

 171 Numerical analysis (65-XX) 128 Group theory and generalizations (20-XX) 116 Harmonic analysis on Euclidean spaces (42-XX) 109 Approximations and expansions (41-XX) 108 Operator theory (47-XX) 104 Differential geometry (53-XX) 97 Partial differential equations (35-XX) 97 Probability theory and stochastic processes (60-XX) 84 Functional analysis (46-XX) 73 Manifolds and cell complexes (57-XX) 69 Dynamical systems and ergodic theory (37-XX) 63 Functions of a complex variable (30-XX) 59 Number theory (11-XX) 53 Ordinary differential equations (34-XX) 48 Quantum theory (81-XX) 47 Real functions (26-XX) 46 Operations research, mathematical programming (90-XX) 43 Statistics (62-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 41 Computer science (68-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Global analysis, analysis on manifolds (58-XX) 37 Mechanics of deformable solids (74-XX) 36 Abstract harmonic analysis (43-XX) 36 Systems theory; control (93-XX) 32 Measure and integration (28-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 30 Special functions (33-XX) 29 Combinatorics (05-XX) 29 Fluid mechanics (76-XX) 24 Statistical mechanics, structure of matter (82-XX) 23 Topological groups, Lie groups (22-XX) 23 Geometry (51-XX) 23 Biology and other natural sciences (92-XX) 22 Relativity and gravitational theory (83-XX) 21 Mechanics of particles and systems (70-XX) 20 Algebraic geometry (14-XX) 20 Convex and discrete geometry (52-XX) 19 History and biography (01-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Integral equations (45-XX) 18 Information and communication theory, circuits (94-XX) 17 Mathematical logic and foundations (03-XX) 15 Algebraic topology (55-XX) 14 Potential theory (31-XX) 14 Sequences, series, summability (40-XX) 14 Optics, electromagnetic theory (78-XX) 13 Nonassociative rings and algebras (17-XX) 13 Integral transforms, operational calculus (44-XX) 11 Associative rings and algebras (16-XX) 9 Geophysics (86-XX) 8 General and overarching topics; collections (00-XX) 7 Difference and functional equations (39-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Category theory; homological algebra (18-XX) 6 General topology (54-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 3 Mathematics education (97-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 $$K$$-theory (19-XX) 1 Astronomy and astrophysics (85-XX)