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Weintraub S. Ч Differential Forms. A complement to vector calculus
Guillemin V., Pollack A. Ч Differential topology3
Taylor M.E. Ч Partial Differential Equations. Basic theory (vol. 1)535
Dietterich T.G., Becker S., Ghahramani Z. Ч Advances in neural information processing systems 14 (Vol. 1 and vol. 2)945
Graham R.L., Grotschel M., Lovasz L. Ч Handbook of combinatorics (vol. 1)880
Berger M. Ч A Panoramic View of Riemannian Geometry162
Olver P.J. Ч Equivalence, Invariants and Symmetry8, 29, 32, 35, 253
Oprea J. Ч Differential Geometry and Its Applications313
Eisenbud D., Harris J. Ч The Geometry of Schemes8
Schenck H. Ч Computational algebraic geometry134, 111
Felsager B. Ч Geometry, particles and fields258
Baker A. Ч Matrix Groups: An Introduction to Lie Group Theory182
Fulton W. Ч Young tableaux: with applications to representation theory and geometry212
Miller E., Sturmfels B. Ч Combinatorial Commutative Algebra86
Hicks N. Ч Notes on differential geometry2
Agrachev A.A., Sachkov Yu.L. Ч Control theory from the geometric viewpoint2
Graham R.L., Grotschel M., Lovasz L. Ч Handbook of combinatorics (vol. 2)880
Springer G. Ч Introduction to Riemann Surfaces53
Millman R.S., Parker G.D. Ч Elements of Differential Geometry204
Showalter R.E. Ч Monotone Operators in Banach Space and Nonlinear Partial Differential Equations56
Mitchell T. Ч Web Mapping
Ward R.S., Wells R.O. Ч Twistor geometry and field theory38
Goldstein H., Poole C., Safko J. Ч Classical mechanics576, 611, 618
Lee J.M. Ч Introduction to Topological Manifolds1, 4, 33
Griffiths H. Ч Surfaces98; generalized, 96
Artin M. Ч Algebra596
Kriegl A., Michor P.W. Ч The Convenient Setting of Global Analysis264
Behnke H., Bachmann F., Fladt K. Ч Fundamentals of Mathematics, Volume II: Geometry462Ч463, 517, 604Ч609, 627Ч628
Kock A. Ч Synthetic Differential Geometry200
Lim Ch., Nebus J. Ч Vorticity, Statistical Mechanics, and Monte Carlo Simulation86, 87, 250
Gracia-Bondia J.M., Varilly J.C., Figueroa H. Ч Elements of Noncommutative Geometry251,370, 487
Sepanski R.M. Ч Compact Lie Groups1
Lynch S. Ч Dynamical Systems with Applications Using MathematicaЃ46
Eilenberg S., Steenrod N. Ч Foundations of Algebraic Topology311
Moerdijk I., Mrcun J. Ч Introduction to Foliations and Lie Groupoids1
Hall G.R., Lee Ч Continuous dynamical systems7
Torretti R. Ч Relativity and Geometry2, 72 f, 257 figures, 348 note 3
Shafarevich I.R., Kostrikin A.I. (ed.) Ч Basic Notions of Algebra40, 47, 52, 55, 56, 125, 131, 142, 148, 182, 189, 192, 201, 214, 216Ч217, 225, 228, 229, 233
Devlin K.J. Ч Language of Mathematics: Making the Invisible Visible242Ч246
Hatcher A. Ч Algebraic Topology231, 527, 529
Kohonen T. Ч Self-organizing maps29, 46, 217
Kanatani K. Ч Statistical Optimization for Geometric Computation: Theory and Practice10, 22, 65, 106
Hirzebruch F. Ч Topological Methods in Algebraic Geometry24
Falconer K.J. Ч Techniques in Fractal Geometry23
Krantz S.G. Ч Function Theory of Several Complex Variables493
Bridges Th.J., Furter J.E. Ч Singularity Theory and Equivariant Symplectic Maps59, 60.
Tennison B.R., Hitchin N.J. (Ed) Ч Sheaf Theory90Ч91, 151
Choquet-Bruhat Y., Dewitt-Morette C., Dillard-Bleick M. Ч Analysis, manifolds and physics (vol. 1)111
Ratcliffe J.G. Ч Foundations of Hyperbolic Manifolds334
Weickert J. Ч Visualization and Processing of Tensor Fields: Proceedings of the Dagstuhl Workshop192Ч197
Hall B.C. Ч Lie Groups, Lie Algebras, and Representations: An Elementary Understanding21, 303
Jost J., Simha R.T. Ч Compact Riemann Surfaces: An Introduction to Contemporary Mathematics1
Duistermaat J.J., Kolk J.A.C. Ч Multidimensional Real Analysis II: Integration108,109
Duistermaat J.J., Kolk J.A.C. Ч Multidimensional Real Analysis I(Cambridge Studies in Advanced Mathematics #86), Vol. 1108, 109
Steenrod N.E. Ч The Topology of Fibre Bundles20
Vick J.W. Ч Homology theory. An introduction to algebraic topology146
Cohn P.M. Ч Algebraic numbers and algebraic functions131
Royden H.L. Ч Real Analysis169Ч170 (24)
Kobayashi S., Nomizu K. Ч Foundations of Differential Geometry, Volume 2I-2, I-3
Brickell F., Clark R.S. Ч Differentiable Manifolds19
Royden H.L. Ч Real Analysis169Ч170 (24)
Lang S. Ч Real Analysis480
Helgason S. Ч Differential Geometry, Lie Groups and Symmetric Spaces4
Golubitsky M., Guillemin V. Ч Stable Mappings and Their Singularities3
Mukhi S., Mukunda N. Ч Introduction to Topology, Differential Geometry and Group Theory for Physicists25, 31, 39
Poisson E. Ч A relativists toolkit1Ч3, 8, 12, 26, 59, 60, 68, 69, 76, 120, 126, 127, 138, 146, 166, 169, 178, 202
Gallier J. Ч Geometric Methods and Applications: For Computer Science and Engineering255, 368, 415, 465, 515
Greenberg M.D. Ч Advanced engineering mathematics356
Bleecker D. Ч Gauge Theory and Variational Principles7
Stewart J. Ч Advanced general relativity2
O'Neill B. Ч Elementary differential geometry184Ч187
Thirring W.E. Ч Classical Mathematical Physics: Dynamical Systems and Field Theories6, 11, 12
Simon B. Ч Representations of Finite and Compact Groups122
De Felice F., Clarke C.J.S. Ч Relativity on curved manifolds19ff
Thirring W.E. Ч Course in Mathematical Physics: Classical Dynamical System, Vol. 1 by Walter E. Thirring4, 8, 9
Tapp K. Ч Matrix Groups for Undergraduates104
Lewis J.D. Ч CRM Monograph Series, vol.10: A Survey of the Hodge Conjecture1Ч13
Intriligator M.D., Arrow K.J. Ч Handbook of Mathematical Economics (vol. 1)95
Strichartz R.S. Ч The way of analysis599
Sanders J.A., Verhulst F. Ч Averaging methods in nonlinear dynamical systems102, 126, 149, 161, 231Ч233
Fulling S. Ч Aspects of Quantum Field Theory in Curved Spacetime1, 21Ч22, 25, 50, 88Ч90, 116, 121, 130, 135, 197, 208Ч209
Kasner E., Newman J. Ч Mathematics and the Imagination119Ч124, 133, 149, 154
Levi-Civita T. Ч The Absolute Differential Calculus (Calculus of Tensors)1
Kühnel W., Hunt B. Ч Differential Geometry: Curves - Surfaces - Manifolds203
Spivak M. Ч A Comprehensive Introduction to Differential Geometry (Vol.1)1, 459
Aoki K. Ч Nonlinear dynamics and chaos in semiconductors140
Munkres J.R. Ч Analysis on manifolds200
Mercier A. Ч Analytical and canonical formalism in physics55, 61, 67, 85, 113
Rourke C.P., Sanderson B.J. Ч Introduction to Piecewise-Linear Topology7
Ludvigsen M. Ч General relativity. A geometric approach83
Kirillov A.A. Ч Elements of the Theory of Representations62
Matveev S.V. Ч Lectures on Algebraic Topology18
Logan J.D. Ч Invariant Variational Principles78
Zieschang H. Ч Surfaces and Planar Discontinuous Groups243
Sattinger D.H., Weaver O.L. Ч Lie groups and algebras with applications to physics, geometry, and mechanics109
Fomenko ј.“., Mishehenko A.S. Ч A Short Course in Differential Geometry and Topology59
Berger M., Cole M. (translator) Ч Geometry I (Universitext)see УDifferentiableФ
McCoy N.H. Ч Rings and ideals203
Munkres J. Ч Topology225, 316
Stetter H. J. Ч Numerical polynomial algebra19
Tarantola A. Ч Inverse problem theory and methods for model parameter estimation2, 232
Jeffrey A., Taniuti T. Ч Mathematics in Science and Engineering: volume 9. Non-linear wave propagation65
Grünbaum B. Ч Convex Polytopessee УEulerian manifoldФ
Bogolubov N.N., Logunov A.A., Todorov I.T. Ч Introduction to Axiomatic Quantum Field Theory214, 494Ч495
Janich K. Ч Topology19, 85, 106
Tamura I. Ч Topology of lie groups, I and II40
Searle S.R. Ч Matrix algebra useful for statistics180
Paoluzzi A. Ч Geometric Programming for Computer Aided Design by Alberto Paoluzzi: Book Cover * o Table of Contents Read a Sample Chapter Geometric Programming for Computer Aided Design558
Greenberg M.J., Harper J.R. Ч Algebraic Topology28
Marcja A., Toffalori C. Ч A Guide to Classical and Modern Model Theory299Ч302
O'Neill B. Ч The Geometry of Kerr Black Holes2
D'Inverno R. Ч Introducing Einstein's Relatvity55-7, 131, 177, 178
Hormander L. Ч The analysis of linear partial differential operators I142, 143
Sokolnikoff I.S. Ч Tensor Analysis: Theory and Applications to Geometry and Mechanics of Continua9
Gilmore R. Ч Lie Groups, Lie Algebras and Some of Their Applications68, 69, 71, 73, 76, 84
Zeidler E. Ч Nonlinear Functional Analysis and Its Applications: Part 1: Fixed-Point Theoremssee Banach manifold
Straumann N. Ч General relativity and relativistic astrophysics4ff
Price J.F. Ч Lie groups and compact groups2
Dunn F., Parberry I. Ч 3D Math Primer for Graphics and Game Development330
Hatfield B. Ч Quantum field theory of point particles and strings540
Arwini K. Ч Information Geometry: Near Randomness and Near Independence19
Oprea J. Ч Differential Geometry and Its Applications398
Narasimhan R. Ч Analysis on Real and Complex Manifolds52
Grasman J. Ч Asymptotic methods for relaxation oscillations and applications191
Lang S. Ч Real and Functional Analysis (Graduate Texts in Mathematics Series #142)524
Sachs R.K., Wu H. Ч General relativity for mathematicians3
Moise E.E. Ч Geometric topology in dimensions 2 and 34
Haller G. Ч Chaos Near Resonance371
Sarfraz M. Ч Advances in geometric modeling206, 283
Bishop R.L., Crittenden R.J. Ч Geometry of manifolds2
Bell E.T. Ч The Development of Mathematics203, 254, 359
Friedlander F.G. Ч The Wave Equation on a Curved Space-Time2
Hyers D.H., Isac G., Rassias T.M. Ч Stability of functional equations in several variables175
Steenrod N. Ч The topology of fiber bundles20
Dold A. Ч Lectures on Algebraic Topology247
Eichler M. Ч Introduction to the Theory of Algebraic Numbers and Functions186ff
Baez J.C., Muniain J.P. Ч Gauge theories, knots, and gravity18
Browder A. Ч Mathematical Analysis: An Introduction253, 254
Eisenbud D., Harris J. Ч The geometry of schemes (textbook draft)8
Alekseevskij D.V., Vinogradov A.M., Lychagin V.V. Ч Geometry I: Basic Ideas and Concepts of Differential Geometry56
Rice J.R. Ч The approximation of functions. Nonlinear and multivariate theory171
Cairns S.S. Ч Introductory topology18, 162
Novikov S.P., Fomenko A.T. Ч Basic elements of differential geometry and topology127
Cohn P.M. Ч Algebraic Numbers and Algebraic Functions131
Aigner M. Ч Graph theory17
Brickell F., Clark R.S. Ч Differentiable manifolds19
Valentine F.A. Ч Convex Sets115
Hermann R. Ч Differential geometry and the calculus of variations26, 30, 35, 50
Montgomery D., Zippin L. Ч Topological transformation groups44
Amari Sh. Ч Differential Geometrical Methods in Statistics (Lecture notes in statistics)12
Kinsey L.C. Ч Topology of surfaces64
Choquet-Bruhat Y., DeWitt-Morette C., Dillard-Bleick M. Ч Analysis, manifolds and physics. Part I.111
Weeks J.R. Ч The shape of space11
Cohn P.M. Ч Lie Groups5
Israel W. (ed.) Ч Relativity, astrophysics and cosmology289-290
Spanier E.H. Ч Algebraic Topology292, 356Ч357
Glaser L.C. Ч Geometrical Combinatorial Topology. Volume Isee $n$-manifold
Marathe K.B., Martucci G. Ч The mathematical foundations of gauge theories2
Elden L. Ч Numerical Linear Algebra and Applications in Data Mining117
Sommerville D.M.Y. Ч The elements of non-Euclidean geometry194
Hausner M., Schwartz J.T. Ч Lie groups, Lie algebras20
Audin M. Ч Geometry293
Kobayashi S., Nomizu K. Ч Foundations of Differential Geometry, Volume 12, 3
Munkres J.R. Ч Topology: A First Course223
Audin M. Ч Geometry293
Collatz L. Ч The numerical treatment of differential equations34, 307
Massey W.S. Ч Algebraic Topology: an introduction240Ч241
Springer G. Ч Introduction to Riemann Surfaces53
Glaser L.C. Ч Geometrical Combinatorial Topology. Volume Isee $n$-manifold
Vasil'ev V. A., Sossinski A. Ч Introduction to Topology50
Kasner E., Newman J. Ч Mathematics and the imagination119Ч124, 133, 149, 154
Krantz S.G. Ч Function theory of several complex variables493
Carroll R.W. Ч Mathematical physics351
Shick P.L. Ч Topology: Point-set and geometric170, 174
Audichya A. Ч Mathematics: Marvels and milestones26, 27
Choquet-Bruhat Y. Ч General Relativity and the Einstein Equations55
Lane S.M. Ч Mathematics, form and function233Ч236, 239ff
Lemm J.M. Ч Mathematical elasticity. Theory of shells439, 472, 502, 520, 526, 529, 542, 543
Reithmeier E. Ч Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos7, 32, 86
Mandl F. Ч Quantum mechanics4, 13, 76Ч77, 79Ч80, 98, 100
Frankel T. Ч The geometry of physics: an introduction13, 19
Bjorner A. Ч Oriented Matroids93
Hartshorne R. Ч Algebraic Geometry31, see also "Complex manifold"
Bjorner A., Vergnas M., Sturmfels B. Ч Oriented Matroids, Second edition (Encyclopedia of Mathematics and its Applications)93
Vilenkin N.Ja., Klimyk A.U. Ч Representation of Lie Groups and Special Functions: Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms20
Cox D., Little J., O'Shea D. Ч Ideals, varieties, and algorithms481
Schutz B.F. Ч A first course in general relativity151, 176
Bell E.T. Ч Men of mathematics. Volume 2291, 557ff.
Anderson J.L. Ч Principles of Relativity Physics5
Wald R.M. Ч General Relativity12
Berezin F.A., Kirillov A.A. (ed.) Ч Introduction to Superanalysis3
Lasota A., Mackey M.C. Ч Probabilistic Properties of Deterministic Systems151Ч158
Israel W. (ed.) Ч Relativity, astrophysics and cosmology289Ч290
Zeidler E. Ч Oxford User's Guide to Mathematics638, 800, 836
Pier J.-P. Ч Mathematical Analysis during the 20th Century185, 289
Israel W. Ч Relativity, Astrophysics and Cosmology289Ч290
Hassani S. Ч Mathematical Methods: for Students of Physics and Related Fields456, 469
Spivak M. Ч Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus109
Greenberg M.J., Harper J.R. Ч Algebraic topology: a first course28
Meyer K.R. Ч Periodic Solutions of the N-Body Problem53
Bruno A.D., Fen L.S. Ч Power geometry in algebraic and differential equations217
Morandi G. Ч Statistical Mechanics: An Intermediate Course5, App.A
Ruelle D. Ч Elements of Differentiable Dynamics and Bifurcation Theory1Ч4, 143Ч146
Akenine-Möller T. Ч Real-Time Rendering447, 451
Frankel T. Ч The geometry of physics: An introduction13, 19
Flanders H. Ч Differential Forms with Applications to the Physical Sciences49 ff
Hestenes D., Sobczyk G. Ч Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Fundamental Theories of Physics)139, 283
Bonahon F. Ч Low-Dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots (Student Mathematical Library: Ias Park City Mathematical Subseries)340, 340Ч351
Schutz B. Ч Geometrical Methods in Mathematical Physics23 Manifold, analytic
Zorich V.A., Cooke R. Ч Mathematical analysis II320Ч325
Zorich V. Ч Mathematical Analysis320Ч325
Synge J. L. Ч Tensor Calculus4
Sagle A. A. Ч Introduction to Lie groups and Lie algebras40, 41, 43
Stamatescu I., Seiler E. Ч Approaches to Fundamental Physics93, 94, 97, 100, 101
Choquet-Bruhat Y., Dewitt-Morette C. Ч Analysis, manifolds and physics111
Foster J., Nightingale J. Ч A Short Course in General Relativity (Longman mathematical texts)29Ч33
Azcarraga J., Izquierdo J. Ч Lie groups, Lie algebras, cohomology and some applications in physics2
Mac Lane S. Ч Mathematics: Form and Function233Ч236, 239ff
Thirring W., Harrell E.M. Ч Classical mathematical physics. Dynamical systems and field theory6, 11, 12
Bhatia R. Ч Matrix Analysis167
Russel B. Ч Principles of Mathematics67
Keith Devlin Ч Mathematics: The New Golden Age248, 257
Nash C., Sen S. Ч Topology and geometry for physicists25Ч50, 137
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