Книга | Страницы для поиска |
Guillemin V., Pollack A. - Differential topology | 23 |
Kedlaya K.S., Poonen B., Vakil R. - The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions, and Commentary | 143 |
Taylor M.E. - Partial Differential Equations. Basic theory (vol. 1) | 357, 539 |
Zeidler E. - Nonlinear Functional Analysis and its Applications IV: Applications to Mathematical Physic | 677 |
Berger M. - A Panoramic View of Riemannian Geometry | 170 |
Di Francesco P., Mathieu P., Senechal D. - Conformal field theory | 39, 490 |
Olver P.J. - Equivalence, Invariants and Symmetry | 32, 48, 53, 54, 254, 268, 435, 441 |
Oprea J. - Differential Geometry and Its Applications | 344 |
Eisenbud D., Harris J. - The Geometry of Schemes | 161 |
Husemoeller D. - Elliptic curves | 19 |
Baker A. - Matrix Groups: An Introduction to Lie Group Theory | 187 |
Goldberg S.I. - Curvature and homology | 103 |
Silverman J.H. - The arithmetic of elliptic curves | 158, 161, 162 |
Hicks N. - Notes on differential geometry | 5 |
Agrachev A.A., Sachkov Yu.L. - Control theory from the geometric viewpoint | 249 |
Millman R.S., Parker G.D. - Elements of Differential Geometry | 209, 223 (5.5) |
Michor P.W. - Gauge Theory for Fiber Bundles | 5 |
Fulton W., Harris J. - Representation Theory: A First Course | 93 |
Mimura M., Toda H. - Topology of Lie Groups, I and II | 39, 80, 279, 280 |
Lavendhomme R. - Basic Concepts of Synthetic Differential Geometry | 239 |
Ward R.S., Wells R.O. - Twistor geometry and field theory | 36, 37, 39, 41, 47, 63, 66, 67, 84, 89, 90, 139, 189, 206, 208, 211, 213, 258-260, 264 |
Goldstein H., Poole C., Safko J. - Classical mechanics | 411, 412, 611-613 |
Lee J.M. - Introduction to Topological Manifolds | 10 |
Debnath L. - Nonlinear water waves | 172, 194 |
Kriegl A., Michor P.W. - The Convenient Setting of Global Analysis | 369 |
Debnath L. - Nonlinear Partial Differential Equations for Scientists and Engineers | 310, 356-357 |
Clarkson P.A. - Applications of Analytic and Geometric Methods to Nonlinear Differential Equations | 27, 28, 33, 331ff, 336, 337, 363, 367, 375, 385, 387, 405, 416, 417, 424, 426, 427 |
Behnke H., Bachmann F., Fladt K. - Fundamentals of Mathematics, Volume II: Geometry | 533 |
Ryder L.H. - Quantum Field Theory | 31 |
Knapp A.W. - Elliptic Curves (MN-40) | 376 |
Gracia-Bondia J.M., Varilly J.C., Figueroa H. - Elements of Noncommutative Geometry | 121, 138, 420 |
Street R., Murray M. (Ed), Broadbridge Ph. (Ed) - Quantum Groups: A Path to Current Algebra | 33 |
Thomas Ch.B. - Representations of Finite and Lie Groups | 75 |
Michor P.W. - Topics in Differential Geometry | 36 |
Torretti R. - Relativity and Geometry | 268, 269 |
Polyanin A., Manzhirov A.V. - Handbook of Mathematics for Engineers and Scientists | 730 |
Shafarevich I.R., Kostrikin A.I. (ed.) - Basic Notions of Algebra | 125, 140, 142, 143-150, 192, 210, 240, see also general linear, orthogonal, unitary, special linear, spinor and symplectic groups |
Reid M., Szendroi B. - Geometry and Topology | see compact Lie group, 142-164, 169 |
Hatcher A. - Algebraic Topology | 282 |
Atiyah M. - Representation Theory of Lie Groups | 65, 93, 94 |
Sabinin L.V. - Smooth Quasigroups and Loops | 48 |
Weyl H. - The Classical Groups: Their Invariants and Representations, Vol. 1 | 187 |
Varadarajan V.S. - Lie Groups, Lie Algebras, and Their Representations | 41 |
Gallot S., Hulin D. - Riemannian Geometry | 1.70 ff., 1.129 ff., 2.34, 2.47, 2.108, 3.17, 3.81, 3.84, 3.84, 3.86, 3.105. |
Masujima M. - Path integral quantization and stochastic quantization | 104, 107, 108 |
Hansen G.A., Zardecki A., Douglass R.A. - Mesh Enhancement: Selected Elliptic Methods, Foundations and Applications | 486 |
Kolar I., Michor P.W., Slovak J. - Natural Operations in Differential Geometry | 30 |
Ivey Th.A., Landsberg J.M. - Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems | 316 |
Petersen P. - Riemannian Geometry | 6 |
Choquet-Bruhat Y., Dewitt-Morette C., Dillard-Bleick M. - Analysis, manifolds and physics (vol. 1) | 116 |
Boothby W.M. - An introduction to differentiable manifolds and riemannian geometry | 81-89 |
Hall B.C. - Lie Groups, Lie Algebras, and Representations: An Elementary Understanding | 20, 309 |
Suykens J.A.K., Horvath G., Basu S. - Advances in learning theory: methods, models and applications | 301 |
Steenrod N.E. - The Topology of Fibre Bundles | 32 |
Arnold V.I., Khesin B.A. - Topological methods in hydrodynamics | 1, 7, 32 |
Ziman J.M. - Elements of Advanced Quantum Theory | 239-257 |
Kobayashi S., Nomizu K. - Foundations of Differential Geometry, Volume 2 | I-38 |
Brickell F., Clark R.S. - Differentiable Manifolds | 210 |
Szekeres P. - A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry | 559 |
Georgi H. - Lie algebras in particle physics | 8 |
Helgason S. - Differential Geometry, Lie Groups and Symmetric Spaces | 98 |
Morita S. - Geometry of differential forms | 22 |
Singer I.M., Thorpe J.A. - Lecture Notes on Elementary Topology and Geometry | 122 |
Golubitsky M., Guillemin V. - Stable Mappings and Their Singularities | 194 |
Mukhi S., Mukunda N. - Introduction to Topology, Differential Geometry and Group Theory for Physicists | 95 |
Morita Sh. - Geometry of Differential Forms | 22 |
Gallier J. - Geometric Methods and Applications: For Computer Science and Engineering | viii, ix, 195, 240, 241, 307, 309, 367, 376, 383, 391 |
Bleecker D. - Gauge Theory and Variational Principles | 18 |
Simon B. - Representations of Finite and Compact Groups | 128 |
De Felice F., Clarke C.J.S. - Relativity on curved manifolds | 151 |
Zeldovich Ya.B., Yaglom I.M. - Higher Math for Beginners | 527 |
Tapp K. - Matrix Groups for Undergraduates | 159 |
Lewis J.D. - CRM Monograph Series, vol.10: A Survey of the Hodge Conjecture | 314 |
Grosswald E. - Bessel Polynomials | 41, 46, 47 |
Serre J.-P. - Lectures on the Mordell-Weil Theorem | 60, 149 |
Greiner W., Muller B. - Gauge theory of weak interactions | 307 |
Brocker Th., Dieck T.T. - Representations of Compact Lie Groups | 1 ff |
Tung W.K. - Group Theory in Physics: An Introduction to Symmetry Principles, Group Representations, and Special Functions | 80, 290 |
do Carmo M.P. - Riemannian geometry | 39 |
Havin V.P., Nikolski N.K. (eds.) - Linear and Complex Analysis Problem Book 3 (part 2) | 2.12, 3.8 |
Lopuzanski J. - An introduction to symmetry and supersymmetry in quantum field theory | 8, 49, 67 |
Kühnel W., Hunt B. - Differential Geometry: Curves - Surfaces - Manifolds | 232 |
Spivak M. - A Comprehensive Introduction to Differential Geometry (Vol.1) | 371 |
Munkres J.R. - Analysis on manifolds | 209 |
Hovey M., Palmieri J.H., Strickland N.P. - Axiomatic stable homotopy theory | 7, 85 |
Kirillov A.A. - Elements of the Theory of Representations | 83 |
Fomenko А.Т., Mishehenko A.S. - A Short Course in Differential Geometry and Topology | 131 |
Berger M., Cole M. (translator) - Geometry I (Universitext) | 1.8.7.3, 2.7.5.12, 8.10.1, 12.6.8 |
Fenn R. - Geometry | 42, 294 |
Bogolubov N.N., Logunov A.A., Todorov I.T. - Introduction to Axiomatic Quantum Field Theory | 140, 213-233 (see also 'SU(2)') |
Audin M. - Torus Actions on Symplectic Manifolds | 9, 32 |
Eisenhart L.P. - Continuous groups of transformations | 40 |
Mehta M.L. - Random Matrices | 648, 653 |
Kumar P., D'Ariano G.M., Hirota O. - Quantum communication, computing, and measurement 2 | 144 |
Clemens C.H. - Scrapbook of Complex Curve Theory | 131 |
Halzen F., Martin A.D. - Quarks and Leptons: An Introductory Course in Modern Particle Physics | 35 (see also SU entries) |
Greiner W., Mueller B. - Quantum mechanics: symmetries | 37 ff. |
Bertlmann R.A. - Anomalies in Quantum Field Theory | 88-95 |
Gilmore R. - Lie Groups, Lie Algebras and Some of Their Applications | 63, 77, 84, 87-229 |
Miller W. - Lie theory and special functions | 1 |
Price J.F. - Lie groups and compact groups | 25 |
Oprea J. - Differential Geometry and Its Applications | 424 |
Basdevant J.-L., Dalibard J. - Quantum Mechanics | 190, 218, 246 |
Auletta G. - Foundations and Interpretation of Quantum Mechanics | 62 |
Boothby W.M. - An Introduction to Differentiable Manifolds and Riemannian Geometry | 81-89 |
Curtis M.L. - Abstract Linear Algebra | 132 |
Perina J., Hradil Z., Jurco B. - Quantum optics and fundamentals of physics | 118 |
Nash C. - Differential Topology and Quantum Field Theory | 9, 11, 73, 75, 125, 170-171, 174, 178, 180, 185, 188, 190, 192, 201, 207, 221, 226-227, 241 |
Bishop R.L., Crittenden R.J. - Geometry of manifolds | 25 |
Carmeli M. - Classical Fields: General Gravity and Gauge Theory | 470, 562 |
Gatermann K. - Computer Algebra Methods for Equivariant Dynamical Systems | 56 |
Fordy A.P., Wood J.C. (eds.) - Harmonic maps and integrable systems | 39 |
Landau L.D., Lifshitz E.M. - The classical theory of fields | 409 |
Steenrod N. - The topology of fiber bundles | 32 |
Baez J.C., Muniain J.P. - Gauge theories, knots, and gravity | 165 |
Bona C., Palenzuela-Luque C. - Elements of Numerical Relativity: From Einstein's Equations to Black Hole Simulations (Lecture Notes in Physics) | 13 |
Eisenbud D., Harris J. - The geometry of schemes (textbook draft) | 161 |
Alekseevskij D.V., Vinogradov A.M., Lychagin V.V. - Geometry I: Basic Ideas and Concepts of Differential Geometry | 93, 96 |
Postnikov M. - Lectures in Geometry. Semestr V. Lie Groups and Lie Algebras | 15 |
Morita S. - Geometry of Differential Forms | 22 |
Suykens J.A.K., Horvath G. - Advanced learning theory: methods, moduls and applications | 301 |
Zakharov V.D. - Gravitational waves in Einstein's theory | 13, 14, 15 |
Brickell F., Clark R.S. - Differentiable manifolds | 210 |
Wigner E.P. - Group Theory and Its Applicaion to the Quantum Mechanics of Atomic Spectra | see Group |
Montgomery D., Zippin L. - Topological transformation groups | 49 |
Duistermaat J.J, Kolk J.A.C. - Distributions: theory and applications | 175 |
Cohen A. - An Introduction to the Lie Theory of One-parameter Groups. With Applications to the Solution of Differential Equations | 3 |
Choquet-Bruhat Y., DeWitt-Morette C., Dillard-Bleick M. - Analysis, manifolds and physics. Part I. | 116 |
Cohn P.M. - Lie Groups | 44 |
Israel W. (ed.) - Relativity, astrophysics and cosmology | 300-305 |
Marathe K.B., Martucci G. - The mathematical foundations of gauge theories | 26 |
Hausner M., Schwartz J.T. - Lie groups, Lie algebras | 37 |
Kobayashi S., Nomizu K. - Foundations of Differential Geometry, Volume 1 | 38 |
Serre J.-P. - Lie Algebras and Lie Groups | 102 |
Handelman D.E. - Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem | 109 |
Puri P.R. - Mathematical methods of quantum optics | 56 |
McBride E.B. - Obtaining Generating Functions | 27, 29, 44, 47, 51 |
Porteous I.R. - Clifford Algebras and the Classical Groups | ix, 100, 103, 215, 231 |
Mielke A. - Hamiltonian and Lagrangian Flows on Center Manifolds: With Applications to Elliptic Variational Problems | 41 |
Tzenov S.I. - Contemporary Accelerator Physics | 99 |
Silverman J. - The arithmetic of dynamical systems | 6 |
Mathews J., Walker R.L. - Mathematical methods of physics | 449 |
Pommaret J.F. - Systems of partial differential equations and Lie pseudogroups | 6.1.15 |
Candel A., Conlon L. - Foliations I | 10 |
Boerner H. - Representations of Groups | 41 |
Ivey T.A., Landsberg J.M. - Cartan for beginners: differential geometry via moving frames exterior differential systems | 316 |
Grosswald E. - Bessel Polynomials | 41, 46, 47 |
Frankel T. - The geometry of physics: an introduction | 391-412 |
Hartshorne R. - Algebraic Geometry | 328 |
Greiner W. - Relativistic quantum mechanics. Wave equations | 391 |
Borówko M. (ed.) - Computational Methods in Surface and Colloid Science | 800, 835, 836, 842, 843 |
Miller W. - Symmetry and Separation of Variables | 260 |
Wald R.M. - General Relativity | 168-169 |
Bluman G.W. - Similarity Methods for Differential Equations | 143 |
Schiff L.I. - Quantum Mechanics | 195 |
Israel W. (ed.) - Relativity, astrophysics and cosmology | 300-305 |
Lemm J.C. - Bayesian field theory | 82, 118, 266 |
Pier J.-P. - Mathematical Analysis during the 20th Century | 179, 189 |
Jahne B., Haubecker H. - Computer vision and applications | 384 |
Brown L., Dresden M., Hoddeson L. - Pions to quarks: Particle physics in the 1950s | 633, 635, 698-699 |
Margalef-Roig J., Outerelo Dominguez E. - Differential topology | 283 |
Fritzsche K., Grauert H. - From Holomorphic Functions To Complex Manifolds | 171 |
Ma Z.-Q., Gu X.-Y. - Problems and Solutions in Group Theory for Physicists | 115, 140, 269 |
Giles R. - Mathematical foundation of thermodynamics | 166 |
Morris S. - Pontryagin Duality and the Structure of Locally Compact Abelian Groups | 105, 118 |
Bertram W. - The Geometry of Jordan and Lie Structures (Lecture Notes in Mathematics) | I.1 |
Heinonen J. - Lectures on Analysis on Metric Spaces | 67 |
Kalton N., Saab E. - Interaction Between Functional Analysis, Harmonic Analysis, and Probability (Lecture Notes in Pure and Applied Mathematics) | 20, 256 |
Suter D. - The physics of laser-atom interactions | 122 |
Frankel T. - The geometry of physics: An introduction | 391-412 |
Greiner W., Maruhn J. - Nuclear models | 65 |
Flanders H. - Differential Forms with Applications to the Physical Sciences | 150 ff |
Hestenes D., Sobczyk G. - Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Fundamental Theories of Physics) | 284 |
Sexl R., Urbantke H.K. - Relativity, Groups, Particles. Special Relativity and Relativistic Symmetry in Field and Particle Physics | 136 |
Santalo L., Kac M. - Integral geometry and geometric probability | 149 |
Schutz B. - Geometrical Methods in Mathematical Physics | 12, 29, 87, 92, 188
Lie group, abelian |
Mackey G. - Unitary Group Representations in Physics, Probability and Number Theory | 87 |
Zorich V.A., Cooke R. - Mathematical analysis II | 72, 336 |
Zorich V. - Mathematical Analysis | 72, 336 |
Sharpe R.W. - Differential Geometry: Cartan's Generalization of Klein's Erlangen Program | 12 |
Sagle A. A. - Introduction to Lie groups and Lie algebras | 105 |
Choquet-Bruhat Y., Dewitt-Morette C. - Analysis, manifolds and physics | 116 |
Mathews J., Walker R.L. - Mathematical Methods of Physics | 449 |
Azcarraga J., Izquierdo J. - Lie groups, Lie algebras, cohomology and some applications in physics | 2-3 |