close
1.

電子ブック
ＥＢ
1. Geometric Problems on Maxima and Minima
by Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov
出版情報: Boston, MA : Birkhäuser Boston, 2006
オンライン: http://dx.doi.org/10.1007/0-8176-4473-3
所蔵情報: loading…
2.

電子ブック
ＥＢ
2. Differential Equations - Geometry, Symmetries and Integrability : The Abel Symposium 2008
edited by Boris Kruglikov, Valentin Lychagin, Eldar Straume
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Abel Symposia ; 5
オンライン: http://dx.doi.org/10.1007/978-3-642-00873-3
所蔵情報: loading…
3.

電子ブック
ＥＢ
3. Representation Theory, Complex Analysis, and Integral Geometry
edited by Bernhard Krötz, Omer Offen, Eitan Sayag
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-4817-6
所蔵情報: loading…
4.

電子ブック
ＥＢ
4. A Tale of Two Fractals
by A.A. Kirillov
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
オンライン: http://dx.doi.org/10.1007/978-0-8176-8382-5
所蔵情報: loading…
目次情報: 続きを見る
Introduction
Part 1. The Sierpiński Gasket
Definition and General Properties
The Laplace Operator on the Sierpiński Gasket.- Harmonic Functions on the Sierpiński Gasket
Part 2. The Apollonian Gasket
Circles and Disks on Spheres
Definition of the Apollonian Gasket
Arithmetic Properties of Apollonian Gaskets
Geometric and Group-Theoretic Approach
Many-Dimensional Apollonian Gaskets
Bibliography
Introduction
Part 1. The Sierpiński Gasket
Definition and General Properties
5.

電子ブック
ＥＢ
5. Thinking in Problems : How Mathematicians Find Creative Solutions
by Alexander A. Roytvarf
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
オンライン: http://dx.doi.org/10.1007/978-0-8176-8406-8
所蔵情報: loading…
目次情報: 続きを見る
Preface
Using the Stars on Problems
Understanding the Advanced Skill Requirements
Acknowledgements
Jacobi Identities and Related Combinatorial Formulas
A Property of Recursive Sequences
A Combinatorial Algorithm in Multiexponential Analysis
A Frequently Encountered Determinant.- A Dynamical System with a Strange Attractor
Polar and Singular Value Decomposition Theorems
2x2 Matrices Which Are Roots of Unity
A Property of Orthogonal Matrices
Convexity and Related Classical Inequalities
One-Parameter Groups of Linear Transformations.- Some Problems in Combinatorics and Analysis that can be Explored using Generating Functions
Least Squares and Chebyshev Systems
References
Index of Terms
Preface
Using the Stars on Problems
Understanding the Advanced Skill Requirements
6.

電子ブック
ＥＢ
6. Transcendental Numbers
by M. Ram Murty, Purusottam Rath
出版情報: New York, NY : Springer New York : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-1-4939-0832-5
所蔵情報: loading…
目次情報: 続きを見る
1. Liouville’s theorem
2. Hermite’s Theorem
3. Lindemann’s theorem
4. The Lindemann-Weierstrass theorem
5. The maximum modulus principle
6. Siegel’s lemma
7. The six exponentials theorem
8. Estimates for derivatives
9. The Schneider-Lang theorem
10. Elliptic functions
11. Transcendental values of elliptic functions
12. Periods and quasiperiods
13. Transcendental values of some elliptic integrals
14. The modular invariant
15. Transcendental values of the j-function
16. More elliptic integrals
17. Transcendental values of Eisenstein series
18. Elliptic integrals and hypergeometric series
19. Baker’s theorem
20. Some applications of Baker’s theorem
21. Schanuel’s conjecture
22. Transcendental values of some Dirichlet series
23. Proof of the Baker-Birch-Wirsing theorem
24. Transcendence of some infinite series
25. Linear independence of values of Dirichlet L-functions
26. Transcendence of values of modular forms
27. Transcendence of values of class group L-functions
28. Periods, multiple zeta functions and (3).
1. Liouville’s theorem
2. Hermite’s Theorem
3. Lindemann’s theorem
7.

電子ブック
ＥＢ
7. Mathematics in the 21st Century : 6th World Conference, Lahore, March 2013
edited by Pierre Cartier, A.D.R. Choudary, Michel Waldschmidt
出版情報: Basel : Springer Basel : Imprint: Springer, 2015
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 98
オンライン: http://dx.doi.org/10.1007/978-3-0348-0859-0
所蔵情報: loading…
目次情報: 続きを見る
Chapter 1. About phase transition and zero temperature
Chapter 2. Approximation on Curves
Chapter 3. Discriminants, polytopes, and toric geometry
Chapter 4. Lecture on the abc conjecture and some of its consequences
Chapter 5. Some results on chromaticity of quasi-linear hypergraphs
Chapter 6. Basic properties of the non-abelian global reciprocity map
Chapter 7. Poisson Smooth Structures on Stratified Symplectic Spaces
Chapter 8. Some classical problems in number theory via the theory of K3 surfaces
Chapter 9. On Ramsey (2K2;K4) - minimal graphs
Chapter 10. On the motion induced by a flat plate that applies oscillating shear stresses to an Oldroyd-B fluid. Applications
Chapter 11. Equilibrium in choice of generalized games
Chapter 12. Hamiltonian connectedness of Toeplitz graphs
Chapter 13. Cosmos and its furniture
Chapter 14. On super edge-antimagic total labeling of Toeplitz graphs
Chapter 1. About phase transition and zero temperature
Chapter 2. Approximation on Curves
Chapter 3. Discriminants, polytopes, and toric geometry
8.

電子ブック
ＥＢ
8. From Calculus to Analysis
by Steen Pedersen
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
オンライン: http://dx.doi.org/10.1007/978-3-319-13641-7
所蔵情報: loading…
目次情報: 続きを見る
Part I
Limits
Introduction to Continuity
Sets of Real Numbers
Counting
Continuity
Derivatives and their Applications
The Riemann Integral
The Logarithm and the Exponential Function
Part II
Convergence of Sequences
Series
Trigonometric Functions and Applications
Fourier Series
Topology
Appendices
Part I
Limits
Introduction to Continuity
9.

電子ブック
ＥＢ
9. Putnam and Beyond
by Răzvan Gelca, Titu Andreescu
出版情報: New York, NY : Springer Science+Business Media, LLC, 2007
オンライン: http://dx.doi.org/10.1007/978-0-387-68445-1
所蔵情報: loading…
10.

電子ブック
ＥＢ
10. The Math Problems Notebook
by Valentin Boju, Louis Funar
出版情報: Boston, MA : Birkhäuser Boston, 2007
オンライン: http://dx.doi.org/10.1007/978-0-8176-4547-2
所蔵情報: loading…