# zbMATH — the first resource for mathematics

## Cambridge Mathematical Library

 Short Title: Camb. Math. Libr. Publisher: Cambridge University Press, Cambridge, UK Online: https://www.cambridge.org/core/series/cambridge-mathematical-library/F04D2C33279B5B7ED261AE5111C064D2 Comments: Book series
 Documents Indexed: 37 Publications (since 1988)

all top 5

#### Authors / Editors

 4 Hodge, William Vallance Douglas 3 Pedoe, Daniel 2 Hardy, Godfrey Harold 2 Zygmund, Antoni 1 Andrews, George Eyre 1 Ash, Avner 1 Baker, Alan 1 Baker, Henry Frederick 1 Ball, Robert Stawell 1 Batchelor, George Keith 1 Biggs, Norman Linstead 1 Burkill, H. 1 Burkill, John Charles 1 Chapman, Sydney 1 Cowling, Thomas George 1 Davenport, Harold 1 Dedekind, Richard 1 Drazin, Philip Gerald 1 Hilbert, David 1 Hudson, Ronald William Henry Turnbull 1 Katznelson, Yitzhak 1 Kung, Joseph P. S. 1 Lamb, Horace 1 Lighthill, Sir Michael James 1 Lind, Douglas A. 1 Littlewood, John Edensor 1 Macaulay, Francis Sowerby 1 Marcus, Brian H. 1 Meyn, Sean P. 1 Mumford, David Bryant 1 Pólya, George 1 Rapoport, Michael 1 Reid, William H. 1 Rogers, Claude Ambrose 1 Rota, Gian-Carlo 1 Ruelle, David Pierre 1 Russell, Bertrand 1 Santalo, Luis Antonio 1 Schumaker, Larry L. 1 Tai, Yungsheng 1 Tweedie, Richard Lewis 1 Watson, George Neville 1 Whitehead, Alfred North 1 Whittaker, Edmund Taylor 1 Wiener, Norbert 1 Yan, Catherine Huafei
all top 5

#### Fields

 19 History and biography (01-XX) 7 Algebraic geometry (14-XX) 5 Number theory (11-XX) 5 Fluid mechanics (76-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 4,596 times in 4,552 Documents Cited by Year
Inequalities. 2nd ed., 1st. paperback ed. Zbl 0634.26008
Hardy, G. H.; Littlewood, J. E.; Pólya, G.
1988
A treatise on the theory of Bessel functions. 2nd ed. Zbl 0849.33001
Watson, G. N.
1995
An introduction to fluid dynamics. 2nd pbk-ed. Zbl 0958.76001
Batchelor, G. K.
1999
Trigonometric series. Volumes I and II combined. With a foreword by Robert Fefferman. 3rd ed. Zbl 1084.42003
Zygmund, A.
2002
Markov chains and stochastic stability. Prologue by Peter W. Glynn. 2nd ed. Zbl 1165.60001
Meyn, Sean; Tweedie, Richard L.
2009
The theory of partitions. Zbl 0996.11002
Andrews, George E.
1998
Spline functions: basic theory. Zbl 1123.41008
Schumaker, Larry L.
2007
Hydrodynamics. 6th ed., paperb. ed. Zbl 0828.01012
Lamb, Horace
1993
Algebraic graph theory. 2nd ed. Zbl 0797.05032
Biggs, Norman
1994
Hydrodynamic stability. Foreword by John Miles. 2nd ed. Zbl 1055.76001
Drazin, P. G.; Reid, W. H.
2004
An introduction to harmonic analysis. 3rd ed. Zbl 1055.43001
Katznelson, Yitzhak
2004
Trigonometric series. Volumes I and II combined. 1. paperback ed. of the 2. ed. Zbl 0628.42001
Zygmund, A.
1988
Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Zbl 1062.82001
Ruelle, David
2004
The algebraic theory of modular systems. With a new introduction by Paul Roberts. Reprint of the 1916 orig. Zbl 0802.13001
Macaulay, F. S.
1994
The mathematical theory of non-uniform gases. An account of the kinetic theory of viscosity, thermal conduction and diffusion in gases. 3rd ed. prepared in co-operation with D. Burnett. Zbl 0726.76084
Chapman, Sydney; Cowling, T. G.
1991
A treatise on the analytical dynamics of particles and rigid bodies. With an introduction to the problem of three bodies. With a foreword by Sir William McCrea. Reprint of the fourth edition. Zbl 0665.70002
Whittaker, E. T.
1988
Abelian functions. Abel’s theorem and the allied theory of theta functions. Foreword by Igor Krichever (xvii-xxx). Repr. Zbl 0848.14012
Baker, H. F.
1995
Kummer’s quartic surface. Paperback ed. Zbl 0716.14025
Hudson, R. W. H. T.
1990
Transcendental number theory. Paperback ed. Zbl 0715.11032
Baker, Alan
1990
Theory of algebraic invariants. Lectures. Transl. by R. C. Laubenbacher, ed. and with an introduction by Bernd Sturmfels. Zbl 0801.13001
Hilbert, David
1993
Integral geometry and geometric probability. With a foreword by Mark Kac. 2nd ed. Zbl 1116.53050
Santaló, Luis
2004
Methods of algebraic geometry. Volume III. Book V: Birational geometry. Zbl 0796.14003
Hodge, W. V. D.; Pedoe, D.
1994
Hausdorff measures. With a foreword by K. Falconer. Paperback ed. Zbl 0915.28002
Rogers, C. A.
1998
Analytic methods for Diophantine equations and Diophantine inequalities. Edited and prepared by T. D. Browning. With a preface by R. C. Vaughan, D. R. Heath-Brown and D. E. Freeman. 2nd ed. Zbl 1125.11018
Davenport, Harold
2005
Waves in fluids. Zbl 0976.76001
Lighthill, James
2001
Smooth compactifications of locally symmetric varieties. With the collaboration of Peter Scholze. 2nd ed. Zbl 1209.14001
Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-Sheng
2010
Principia mathematica to *56. Zbl 0877.01042
1997
Combinatorics. The Rota way. Zbl 1159.05002
Kung, Joseph P. S.; Rota, Gian-Carlo; Yan, Catherine H.
2009
The Fourier integral and certain of its applications. Reissued and with a foreword written by Jean-Pierre Kahane. Zbl 0656.42001
Wiener, Norbert
1988
Methods of algebraic geometry. Volume I. Book I: Algebraic preliminaries. Book II: Projective space. Zbl 0796.14001
Hodge, W. V. D.; Pedoe, D.
1994
Methods of algebraic geometry. Volume II. Book III: General theory of algebraic varieties in projective space. Book IV: Quadrics and Grassmann varieties. Zbl 0796.14002
Hodge, W. V. D.; Pedoe, D.
1994
Theory of algebraic integers. Translated from the French by John Stillwell. Zbl 0863.11068
Dedekind, Richard
1996
The theory and applications of harmonic integrals. Reissued, with a foreword by Sir Michael Atiyah. Zbl 0693.14002
Hodge, W. V. D.
1989
A treatise on the theory of screws. Foreword by Harvey Lipkin and Joseph Duffy. Zbl 0928.70002
Ball, Robert Stawell
1998
A second course in mathematical analysis. Reprint of the 1970 original. Zbl 1021.00001
Burkill, J. C.; Burkill, H.
2002
A course of pure mathematics. Centenary edition with a foreword by T. W. Körner. Reprint of the 10th edition 1952. Zbl 1143.26001
Hardy, G. H.
2008
Smooth compactifications of locally symmetric varieties. With the collaboration of Peter Scholze. 2nd ed. Zbl 1209.14001
Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-Sheng
2010
Markov chains and stochastic stability. Prologue by Peter W. Glynn. 2nd ed. Zbl 1165.60001
Meyn, Sean; Tweedie, Richard L.
2009
Combinatorics. The Rota way. Zbl 1159.05002
Kung, Joseph P. S.; Rota, Gian-Carlo; Yan, Catherine H.
2009
A course of pure mathematics. Centenary edition with a foreword by T. W. Körner. Reprint of the 10th edition 1952. Zbl 1143.26001
Hardy, G. H.
2008
Spline functions: basic theory. Zbl 1123.41008
Schumaker, Larry L.
2007
Analytic methods for Diophantine equations and Diophantine inequalities. Edited and prepared by T. D. Browning. With a preface by R. C. Vaughan, D. R. Heath-Brown and D. E. Freeman. 2nd ed. Zbl 1125.11018
Davenport, Harold
2005
Hydrodynamic stability. Foreword by John Miles. 2nd ed. Zbl 1055.76001
Drazin, P. G.; Reid, W. H.
2004
An introduction to harmonic analysis. 3rd ed. Zbl 1055.43001
Katznelson, Yitzhak
2004
Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Zbl 1062.82001
Ruelle, David
2004
Integral geometry and geometric probability. With a foreword by Mark Kac. 2nd ed. Zbl 1116.53050
Santaló, Luis
2004
Trigonometric series. Volumes I and II combined. With a foreword by Robert Fefferman. 3rd ed. Zbl 1084.42003
Zygmund, A.
2002
A second course in mathematical analysis. Reprint of the 1970 original. Zbl 1021.00001
Burkill, J. C.; Burkill, H.
2002
Waves in fluids. Zbl 0976.76001
Lighthill, James
2001
An introduction to fluid dynamics. 2nd pbk-ed. Zbl 0958.76001
Batchelor, G. K.
1999
The theory of partitions. Zbl 0996.11002
Andrews, George E.
1998
Hausdorff measures. With a foreword by K. Falconer. Paperback ed. Zbl 0915.28002
Rogers, C. A.
1998
A treatise on the theory of screws. Foreword by Harvey Lipkin and Joseph Duffy. Zbl 0928.70002
Ball, Robert Stawell
1998
Principia mathematica to *56. Zbl 0877.01042
1997
Theory of algebraic integers. Translated from the French by John Stillwell. Zbl 0863.11068
Dedekind, Richard
1996
A treatise on the theory of Bessel functions. 2nd ed. Zbl 0849.33001
Watson, G. N.
1995
Abelian functions. Abel’s theorem and the allied theory of theta functions. Foreword by Igor Krichever (xvii-xxx). Repr. Zbl 0848.14012
Baker, H. F.
1995
Algebraic graph theory. 2nd ed. Zbl 0797.05032
Biggs, Norman
1994
The algebraic theory of modular systems. With a new introduction by Paul Roberts. Reprint of the 1916 orig. Zbl 0802.13001
Macaulay, F. S.
1994
Methods of algebraic geometry. Volume III. Book V: Birational geometry. Zbl 0796.14003
Hodge, W. V. D.; Pedoe, D.
1994
Methods of algebraic geometry. Volume I. Book I: Algebraic preliminaries. Book II: Projective space. Zbl 0796.14001
Hodge, W. V. D.; Pedoe, D.
1994
Methods of algebraic geometry. Volume II. Book III: General theory of algebraic varieties in projective space. Book IV: Quadrics and Grassmann varieties. Zbl 0796.14002
Hodge, W. V. D.; Pedoe, D.
1994
Hydrodynamics. 6th ed., paperb. ed. Zbl 0828.01012
Lamb, Horace
1993
Theory of algebraic invariants. Lectures. Transl. by R. C. Laubenbacher, ed. and with an introduction by Bernd Sturmfels. Zbl 0801.13001
Hilbert, David
1993
The mathematical theory of non-uniform gases. An account of the kinetic theory of viscosity, thermal conduction and diffusion in gases. 3rd ed. prepared in co-operation with D. Burnett. Zbl 0726.76084
Chapman, Sydney; Cowling, T. G.
1991
Kummer’s quartic surface. Paperback ed. Zbl 0716.14025
Hudson, R. W. H. T.
1990
Transcendental number theory. Paperback ed. Zbl 0715.11032
Baker, Alan
1990
The theory and applications of harmonic integrals. Reissued, with a foreword by Sir Michael Atiyah. Zbl 0693.14002
Hodge, W. V. D.
1989
Inequalities. 2nd ed., 1st. paperback ed. Zbl 0634.26008
Hardy, G. H.; Littlewood, J. E.; Pólya, G.
1988
Trigonometric series. Volumes I and II combined. 1. paperback ed. of the 2. ed. Zbl 0628.42001
Zygmund, A.
1988
A treatise on the analytical dynamics of particles and rigid bodies. With an introduction to the problem of three bodies. With a foreword by Sir William McCrea. Reprint of the fourth edition. Zbl 0665.70002
Whittaker, E. T.
1988
The Fourier integral and certain of its applications. Reissued and with a foreword written by Jean-Pierre Kahane. Zbl 0656.42001
Wiener, Norbert
1988
all top 5

#### Cited by 7,044 Authors

 24 Weisz, Ferenc 16 Guo, Victor J. W. 16 Speleers, Hendrik 16 Tikhonov, Sergey Yur’evich 15 Crowdy, Darren Gregory 14 Basak, Tanmay 14 Buffa, Annalisa 14 Manni, Carla 13 Roy, Satyajit 13 Sangalli, Giancarlo 12 Bringmann, Kathrin 11 Boche, Holger 11 Huang, Lihong 10 Grace, Said Rezk 10 Łenski, Włodzimierz 10 Szal, Bogdan 10 Zumbrun, Kevin R. 9 Baricz, Árpád 9 Forbes, Lawrence K. 9 Meng, Fanwei 9 Nicholls, David P. 9 Nucci, Maria Clara 9 Vazquez, Rafael 9 Zaballa, Ion 8 Aistleitner, Christoph 8 Cho, Durkbin 8 Fridman, Emilia 8 Guha, Partha 8 Matsutani, Shigeki 8 Pop, Ioan 8 Previato, Emma 8 Xu, Zhiting 8 Zhang, Quanxin 7 Agarwal, Ravi P. 7 Albeverio, Sergio A. 7 Beirão da Veiga, Lourenço 7 Cao, Jinde 7 Cramer, Erhard 7 D’yachenko, Mikhaĭl Ivanovich 7 Garoni, Carlo 7 Ghose Choudhury, Anindya 7 Giannelli, Carlotta 7 Hughes, Thomas J. R. 7 Kalaj, David 7 Kim, Byungchan 7 Langer, Ulrich 7 Lopes, Artur Oscar 7 Mahlburg, Karl 7 Merca, Mircea 7 Pelosi, Francesca 7 Serra-Capizzano, Stefano 7 Toulopoulos, Ioannis 7 Yang, Dar-Li 6 Berkes, István 6 Borisov, Alekseĭ Vladimirovich 6 Cai, Zuowei 6 Dodig, Marija 6 Durmus, Alain 6 Fort, Gersende 6 Ghosal, Subhashis 6 Gosse, Laurent 6 Hofer, Christoph D. 6 Ismail, Mourad El-Houssieny 6 Jørgensen, Palle E. T. 6 Jung, Changyeol 6 Kandasamy, Ramasamy 6 Kang, Dongsheng 6 Leplaideur, Renaud 6 Lian, Heng 6 Liu, Xiaoyang 6 Moulines, Eric 6 Mourrain, Bernard 6 Muhaimin, Ismoen 6 Pan, Jiangmin 6 Sader, John E. 6 Singh, Uaday 6 Takahasi, Hiroki 6 Tamura, Hideo 6 Temam, Roger Meyer 6 Wu, Shanhe 6 Yee, Ae Ja 6 Zheng, Zhaowen 5 Alvino, Angelo 5 Andrews, George Eyre 5 Baake, Michael 5 Barker, Blake 5 Barletta, Antonio 5 Betancor Perez, Jorge Juan 5 Bogolyubov, Nikolaĭ Mikhaĭlovich 5 Borcea, Julius 5 Bracco, Cesare 5 Bremer, James C. 5 Chazottes, Jean-René 5 Chen, William Yong-Chuan 5 Cheng, Tai-Chiu Edwin 5 Debnath, Lokenath 5 Deeley, Robin J. 5 Galperin, Efim A. 5 Gardner, Richard J. 5 Gie, Gung-Min ...and 6,944 more Authors
all top 5

#### Cited in 704 Journals

 165 Journal of Mathematical Analysis and Applications 138 Journal of Fluid Mechanics 121 Proceedings of the American Mathematical Society 97 Transactions of the American Mathematical Society 69 Linear Algebra and its Applications 68 Journal of Computational and Applied Mathematics 62 Physics of Fluids 59 Applied Mathematics and Computation 58 Journal of Approximation Theory 54 Journal of Functional Analysis 52 Journal of Computational Physics 47 Journal of Statistical Physics 45 Computer Methods in Applied Mechanics and Engineering 44 Advances in Mathematics 43 Computers & Mathematics with Applications 37 Automatica 37 Journal of Number Theory 35 Communications in Mathematical Physics 35 Journal of Differential Equations 35 European Journal of Mechanics. B. Fluids 31 Ergodic Theory and Dynamical Systems 31 The Ramanujan Journal 28 Computers and Fluids 28 Fluid Dynamics 28 International Journal of Engineering Science 28 Journal of Mathematical Sciences (New York) 26 Journal of Mathematical Physics 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Discrete Mathematics 25 Mathematics of Computation 24 International Journal of Number Theory 23 Acta Mechanica 23 Journal of Algebra 23 Statistics & Probability Letters 23 The Journal of Fourier Analysis and Applications 22 Applied Mathematics Letters 21 Mathematical and Computer Modelling 21 The Annals of Applied Probability 20 International Journal of Heat and Mass Transfer 20 Journal of Geometry and Physics 20 Journal of Graph Theory 20 Abstract and Applied Analysis 19 Journal of Symbolic Computation 19 Applied Mathematical Modelling 19 Stochastic Processes and their Applications 19 Discrete and Continuous Dynamical Systems 18 Mathematical Proceedings of the Cambridge Philosophical Society 18 The Annals of Statistics 18 Physica D 18 Applied and Computational Harmonic Analysis 18 Nonlinear Analysis. Theory, Methods & Applications 17 Regular and Chaotic Dynamics 16 Archive for Rational Mechanics and Analysis 16 Bulletin of the Australian Mathematical Society 16 Journal d’Analyse Mathématique 16 Quarterly of Applied Mathematics 16 Tohoku Mathematical Journal. Second Series 16 Acta Applicandae Mathematicae 16 The Electronic Journal of Combinatorics 15 Advances in Applied Probability 15 Israel Journal of Mathematics 15 Kybernetika 15 Theoretical Computer Science 15 Bernoulli 15 Journal of Inequalities and Applications 15 Advances in Difference Equations 14 Journal of the Franklin Institute 14 Journal of Econometrics 14 Computer Aided Geometric Design 14 Journal of Mathematical Fluid Mechanics 14 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 13 Annales de l’Institut Fourier 13 Information Sciences 13 Journal of Combinatorial Theory. Series A 13 Monatshefte für Mathematik 13 Numerische Mathematik 13 Systems & Control Letters 13 Acta Mathematica Hungarica 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Journal of Complexity 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Annals of Combinatorics 12 Communications in Algebra 12 Journal of Pure and Applied Algebra 12 Mathematische Zeitschrift 12 European Journal of Combinatorics 12 Journal of Theoretical Probability 12 Journal of Scientific Computing 12 SIAM Journal on Scientific Computing 12 Mathematical Problems in Engineering 12 Lobachevskii Journal of Mathematics 11 Physics Letters. A 11 The Annals of Probability 11 Networks 11 Advances in Applied Mathematics 11 Applied Numerical Mathematics 11 Constructive Approximation 11 Journal of the American Mathematical Society 11 Queueing Systems ...and 604 more Journals
all top 5

#### Cited in 62 Fields

 816 Fluid mechanics (76-XX) 555 Partial differential equations (35-XX) 518 Numerical analysis (65-XX) 490 Probability theory and stochastic processes (60-XX) 410 Combinatorics (05-XX) 403 Number theory (11-XX) 334 Harmonic analysis on Euclidean spaces (42-XX) 294 Dynamical systems and ergodic theory (37-XX) 234 Ordinary differential equations (34-XX) 232 Statistics (62-XX) 209 Operator theory (47-XX) 204 Special functions (33-XX) 192 Functional analysis (46-XX) 187 Real functions (26-XX) 187 Approximations and expansions (41-XX) 180 Algebraic geometry (14-XX) 169 Statistical mechanics, structure of matter (82-XX) 169 Systems theory; control (93-XX) 158 Computer science (68-XX) 147 Functions of a complex variable (30-XX) 136 Mechanics of deformable solids (74-XX) 120 Linear and multilinear algebra; matrix theory (15-XX) 116 Operations research, mathematical programming (90-XX) 97 Quantum theory (81-XX) 95 Mechanics of particles and systems (70-XX) 92 Biology and other natural sciences (92-XX) 89 Differential geometry (53-XX) 88 Commutative algebra (13-XX) 87 Information and communication theory, circuits (94-XX) 86 Measure and integration (28-XX) 80 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 76 Group theory and generalizations (20-XX) 73 Convex and discrete geometry (52-XX) 69 Classical thermodynamics, heat transfer (80-XX) 59 Integral transforms, operational calculus (44-XX) 55 Sequences, series, summability (40-XX) 52 Global analysis, analysis on manifolds (58-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 50 Abstract harmonic analysis (43-XX) 49 Several complex variables and analytic spaces (32-XX) 48 Mathematical logic and foundations (03-XX) 46 Geophysics (86-XX) 42 Difference and functional equations (39-XX) 41 Optics, electromagnetic theory (78-XX) 37 Potential theory (31-XX) 33 Integral equations (45-XX) 29 History and biography (01-XX) 28 Relativity and gravitational theory (83-XX) 26 Geometry (51-XX) 24 Topological groups, Lie groups (22-XX) 23 Nonassociative rings and algebras (17-XX) 20 Field theory and polynomials (12-XX) 17 Associative rings and algebras (16-XX) 16 Astronomy and astrophysics (85-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 14 Manifolds and cell complexes (57-XX) 12 General and overarching topics; collections (00-XX) 10 General topology (54-XX) 10 Algebraic topology (55-XX) 4 $$K$$-theory (19-XX) 3 Mathematics education (97-XX) 2 Category theory; homological algebra (18-XX)