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Guillemin V., Pollack A. Ч Differential topology13, 19, 56
Taylor M.E. Ч Partial Differential Equations. Basic theory (vol. 1)11, 33, 54
Hunter J.K., Nachtergaele B. Ч Applied Analysis380, 393
van der Dries L. Ч Tame topology and O-minimal structures112
Rudin W. Ч Principles of Mathematical Analysis221
Reed M., Simon B. Ч Methods of Modern mathematical physics (vol. 1) Functional analysis367
Keisler H.J. Ч Elementary calculus386
Evans L.C. Ч Partial Differential Equations106, 197, 198, 591, 592, 632
Olver P.J. Ч Equivalence, Invariants and Symmetry12, 275, 423
Donaldson K., Kronheimer P.B. Ч Geometry of Four-Manifolds419
Coutinho S.C. Ч A primer of algebraic D-modules28
Eisenbud D. Ч Commutative algebra with a view toward algebraic geometry180, 184, 208
Rudin W. Ч Real and Complex Analysis173
Lee J.M. Ч Introduction to Smooth Manifolds105
Millman R.S., Parker G.D. Ч Elements of Differential Geometry202
Williamson R.E., Crowell R.H., Trotter H.F. Ч Calculus of vector functions201, 210, 417
Edwards H. Ч Advanced Calculus: A Differential Forms Approach454 (Ex. 14, 15)
Estep D.J. Ч Practical Analysis in One Variable183, 186, 444
Hall G.R., Lee Ч Continuous dynamical systems78, 79, 93
Sagan H. Ч Advanced Calculus of Real-Valued Functions of a Real Variable and Vector-Valued Functions of a Vector Variable353, 371
Milnor J.W. Ч Topology from the Differentiable Viewpoint4, 8
Searcid M. Ч Metric Spaces210
Pugh C.C. Ч Real Mathematical Analysis152, 289
Choquet-Bruhat Y., Dewitt-Morette C., Dillard-Bleick M. Ч Analysis, manifolds and physics (vol. 1)90
Lange K. Ч Optimization58Ч59
Boothby W.M. Ч An introduction to differentiable manifolds and riemannian geometry41Ч46
Devaney R.L. Ч An introduction to chaotic dynamical systems172
Reed M., Simon B. Ч Methods of Functional Analysis (in 4 volumes). Volume 1: Functional Analysis367
Khuri A.I. Ч Advanced calculus with applications in statistics280, 305
Platonov V., Rapinchuk A. Ч Algebraic groups and number theory110
Poeschel J. Ч Inverse Spectral Theory142
Rudin W. Ч Functional analysis252
Intriligator M.D., Arrow K.J. Ч Handbook of Mathematical Economics (vol. 4)1965
Brickell F., Clark R.S. Ч Differentiable Manifolds13, 63
Hale J.K., Kocak H. Ч Dynamics and Bifurcations541
Morita S. Ч Geometry of differential forms5, 6
Singer I.M., Thorpe J.A. Ч Lecture Notes on Elementary Topology and Geometry119
Golubitsky M., Guillemin V. Ч Stable Mappings and Their Singularities2
Carmo M.P. Ч Differential geometry of curves and surfaces131
Morita Sh. Ч Geometry of Differential Forms5, 6
O'Neill B. Ч Elementary differential geometry39, 161Ч162
Sheil-Small T. Ч Complex polynomials61
Aubin T. Ч Nonlinear Analysis on Manifolds: Monge-Ampere Equations72
Strichartz R.S. Ч The way of analysis171, 571, 592
Bamberg P.G., Sternberg Sh. Ч A Course in Mathematics for Students of Physics: Volume 1230Ч237
O'Neill B. Ч Semi-Riemannian Geometry: With Applications to Relativity10
Dubrovin B.A., Fomenko A.T. Ч Modern Geometry - Methods and Applications: The Geometry of Surfaces, Transformation Groups and Fields6
Munkres J.R. Ч Analysis on manifolds69
Stetter H. J. Ч Numerical polynomial algebra10
Kuttler K. Ч Calculus, Applications and Theory150
Bamberg P.G., Sternberg S. Ч A Course in Mathematics for Students of Physics, Vol. 1230-7
Bhaya A., Kaszkurewicz E. Ч Control Perspectives on Numerical Algorithms and Matrix Problems45
Hormander L. Ч The analysis of linear partial differential operators I9
Gilmore R. Ч Lie Groups, Lie Algebras and Some of Their Applications36
Marsden J., Weinstein A. Ч Calculus unlimited106
Oprea J. Ч Differential Geometry and Its Applications90
Narasimhan R. Ч Analysis on Real and Complex Manifolds18, 65
Anderson G.A., Granas A. Ч Fixed Point Theory59
Boothby W.M. Ч An Introduction to Differentiable Manifolds and Riemannian Geometry41Ч46
Bishop R.L., Crittenden R.J. Ч Geometry of manifolds11
Moerdijk I., Reyes G.E. Ч Models for smooth infinitesimal analysis297
de Souza P.N., Silva J.-N. Ч Berkeley Problems in Mathematics241Ч243, 254Ч256, 268, 341
Browder A. Ч Mathematical Analysis: An Introduction192, 257
Morita S. Ч Geometry of Differential Forms5, 6
Ortega J. M. Ч Iterative Solution of Nonlinear Equations in Several Variables125, 131
Brickell F., Clark R.S. Ч Differentiable manifolds13, 63
Hermann R. Ч Differential geometry and the calculus of variations28
Argyros I. Ч Computational Theory of Iterative Methods217
Duistermaat J.J, Kolk J.A.C. Ч Distributions: theory and applications78
Choquet-Bruhat Y., DeWitt-Morette C., Dillard-Bleick M. Ч Analysis, manifolds and physics. Part I.90
Serre J.-P. Ч Lie Algebras and Lie Groups73, 83
Gelbaum B.R. Ч Problems in Real and Complex Analysiss 7.3. 377
Porteous I.R. Ч Clifford Algebras and the Classical Groups211
Taylor M.E. Ч Partial Differential Equations. Nonlinear Equations (vol. 3)97
Carroll R.W. Ч Mathematical physics230
Kuttler K.L. Ч Modern Analysis71, 84
Silverman J. Ч The arithmetic of dynamical systems115, 144
de Leon M., Rodrigues P.R. Ч Methods of differential geometry in analytical mechanics4
Hsiung C.-C. Ч A first course in differential geometry44
Tuynman G.M. Ч Supermanifolds and Supergroups: Basic Theory121
Hirsch M.W., Smale S. Ч Differential Equations, Dynamical Systems, and Linear Algebra337
Kuttler K. Ч Notes for Partial Differrential Equations63
Frankel T. Ч The geometry of physics: an introduction29
Arnold V.I. Ч Ordinary Differential Equations39
Vidyasagar M. Ч Nonlinear systems analysis377
Spivak M. Ч Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus35
Greub W., Halperin S., Vanstone R. Ч Connections, curvature, and cohomology. Volume 112
Ruelle D. Ч Elements of Differentiable Dynamics and Bifurcation Theory141Ч142
Milnor J.W., Stasheff J.D. Ч Characteristic Classes. (Am-76), Vol. 765, 116
Frankel T. Ч The geometry of physics: An introduction29
Hestenes D., Sobczyk G. Ч Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Fundamental Theories of Physics)269, 270
Schutz B. Ч Geometrical Methods in Mathematical Physics9, 35, 49
Klingenberg W. Ч A Course in Differential Geometry (Graduate Texts in Mathematics)6
Sagle A. A. Ч Introduction to Lie groups and Lie algebras21, 70
Choquet-Bruhat Y., Dewitt-Morette C. Ч Analysis, manifolds and physics90
Griffiths P., Harris J. Ч Principles of algebraic geometry18
Morita S. Ч Geometry of Differential Forms (Translations of Mathematical Monographs, Vol. 201)5, 6
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