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#### 1Math Tutor - Series - Theory - Function series

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Mathematics as a Non-Superstition. Eleven math courses (in the playlists), from high school (precalculus) to early graduate school (functional analysis), taught in such a way that the student should be able to defend (almost) all statements against objection. Playlist List (sorted by last added): Course 4: Linear Algebra Course 3: Calculus II (US) Course 2: Calculus I (Another extra) Course 7: Principles of Mathematical Analysis Course 9: Basic Functional and Harmonic Analysis Course 8: Fourier Analysis Course 8: Complex Analysis Course 6: Introduction to Analysis Course 5: Differential Equations Course 4: Multivariable Calculus Course 3: Calculus II Course 2: Calculus I Course 1: Precalculus
3 months ago by @achakraborty
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#### 1[1705.02516] On the quantum differentiation of smooth real-valued functions

Calculating the value of $C^{k\in\{1,\infty\}}$ class of smoothness real-valued function's derivative in point of $\mathbb{R}^+$ in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial theorem and $q$-difference operator. $(P,q)$-power difference introduced in section 5. Additionally, by means of Newton's interpolation formula, the discrete analog of Taylor series, interpolation using $q$-difference and $p,q$-power difference is shown.
4 months ago by @kolosov_petro
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#### 1Analysis Yawp!

Real Analysis Lectures by Professor Francis Su (Harvey Mudd College)
5 months ago by @achakraborty
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#### 1dvBlogger.com

Infographics
a year ago by @michelc
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#### 1Slow dynamics via degenerate variational asymptotics

, and . Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 470 (2170): 20140460 (October 2014)
3 years ago by @drmatusek
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#### 1Application of Symmetries to Central Force Problems

, and . Nonlinear Dynamics 21 (4): 307-315 (April 2000)
3 years ago by @drmatusek
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#### 1Multiple transition states and roaming in ion–molecule reactions: A phase space perspective

Chemical Physics Letters (January 2014)
4 years ago by @drmatusek
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#### 1Chapter 2 - Behavior Preserving Extension of Univariate and Bivariate Functions

Proceedings of MEST 2012: Electronic structure methods with applications to experimental chemistry, volume 68 of Advances in Quantum Chemistry, chapter 2, Academic Press, (2014)
4 years ago by @drmatusek
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#### 1EXISTENCE OF GROUND STATES FOR NEGATIVE IONS AT THE BINDING THRESHOLD

Reviews in Mathematical Physics 26 (1): 1350021 (December 2013)
4 years ago by @drmatusek
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#### 1General coalescence conditions for the exact wave functions: Higher-order relations for two-particle systems

The Journal of Chemical Physics 139 (4): 044114 (July 2013)
5 years ago by @drmatusek
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#### 1Hyperbolic tori in Hamiltonian systems with slowly varying parameter

Sbornik: Mathematics 204 (5): 661--682 (May 2013)
5 years ago by @drmatusek
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#### 1Self-oscillation

Physics Reports 525 (2): 167 - 222 (April 2013)
5 years ago by @drmatusek
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#### 2Numerical Analysis

, and . The Prindle, Weber and Schmidt Series in Mathematics PWS-Kent Publishing Company, Boston, Fourth edition, (1989)
5 years ago by @jil
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#### 1The remarkable agreement between the oscillation and wandering characteristics of solutions of differential systems

Sbornik: Mathematics 204 (1): 114 (January 2013)
5 years ago by @drmatusek
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#### 5Numerical Recipes in FORTRAN: The Art of Scientific Computing

Cambridge University Press, New York, Second edition, (1992)
5 years ago by @drmatusek
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#### 2Numerical Analysis

, and . The Prindle, Weber and Schmidt Series in Mathematics PWS-Kent Publishing Company, Boston, Fourth edition, (1989)
5 years ago by @drmatusek
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#### 1Rounding Errors in Algebraic Processes

Dover Publications, Inc., New York, (1994)
5 years ago by @drmatusek
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#### 1Basic Complex Analysis

, and . W. H. Freeman and Company, New York, Second edition, (1987)
5 years ago by @drmatusek
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#### 1A First Course in the Qualitative Theory of Differential Equations

Prentice Hall, Upper Saddle River, (2003)
5 years ago by @drmatusek
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#### 1Classical Dynamics: A Contemporary Approach

, and . Cambridge University Press, Cambridge UK, (1998)
5 years ago by @drmatusek
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#### 2Mathematical Methods for Physicists

Academic Press, Inc., San Diego, Third edition, (1985)
5 years ago by @drmatusek
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#### 1Introduction to the Theory of Stability

Texts in Applied Mathematics Springer-Verlag, New York, Third edition, (1997)
5 years ago by @drmatusek
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#### 1A universal instability of many-dimensional oscillator systems

Physics Reports 52 (5): 263 - 379 (May 1979)
5 years ago by @drmatusek
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#### 1Amplitude death: The emergence of stationarity in coupled nonlinear systems

, , and . Physics Reports 521 (5): 205 - 228 (December 2012)
5 years ago by @drmatusek
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