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1.

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Barry R. Clarke
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1994
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A history of recreational mathematics
Popular Puzzles: Wong sum / Part I:
Strange street
HarveyÆs wall climber
Word bandit 1
Prime of life
The horse and the hurdle
Cornflakes and porridge
Railway rhyme
Safe conduct
The doubtful die
Word bandit 2
Middle market
Fractionally mean
Domino chain
Signs of confusion
Room for assistance
King-size conundrum
Word bandit 3
The six sheep pens
Find the burglars
The enigmatic interview
Sorry Dad
Save the city
Crumple towers
Word bandit 4
Romance on the stone
Quite a card
The three piles of coins
Cubic incapacity
Extra sensory deception
True to the tribe
Word bandit 5
The stuff of dreams
Counting sheep
The reclusive inventor
Advanced Puzzles: The engineerÆs dilemma / Part II:
Lost in space
A tall story
The mathematical garden
Round the clock
Pet hate
Sum secret
Selfish sons
The three bears
Cryptic cave lines
The three prisoners
Taking a bath
The balanced bridge
Elixir of life
The great escape
Logical legacy
Wire wizards
The broken pentomino
One for the road
In the same boat
Hints
Solutions
References
A history of recreational mathematics
Popular Puzzles: Wong sum / Part I:
Strange street
2.

電子ブック

EB
Bengt Fornberg
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1996
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Introduction / 1:
Introduction to spectral methods via orthogonal functions / 2:
Introduction to PS methods via finite differences / 3:
Key properties of PS approximations / 4:
PS variations/enhancements / 5:
PS methods in polar and spherical geometries / 6:
Comparisons of computational cost - FD vs. PS methods / 7:
Some application areas for spectral methods / 8:
Appendices
Introduction / 1:
Introduction to spectral methods via orthogonal functions / 2:
Introduction to PS methods via finite differences / 3:
3.

電子ブック

EB
William M. Hamner, Julia K. Parrish
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1997
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Unifying principles, galactic framework, and the holy grails of aggregation / Julia K. Parrish ; William M. Hamner ; Charles T. Prewitt1:
Imaging and Measurement / Part I:
Methods for three-dimensional sensing of animals / Jules S. Jaffe2:
Analytical and digital photogrammetry / Jon Osborn3:
Acoustic visualization of three-dimensional animal aggregations in the ocean / Charles H. Green ; Peter H. Wiebe4:
Three-dimensional structure and dynamics of bird flocks / Frank Heppner5:
Three-dimensional measurements of swarming mosquitos: a probabilistic model, measuring system, and example output Terumi / Ikawa ; Hidehiko Okabe6:
Analysis / Part II:
Quantitative analysis of animal movements in congregations / Peter Turchin7:
Movements of animals in congregations: an Eularian analysis of bark beetle swarming / Gregory Simons8:
Individual decisions, traffic rules, and emergent pattern in schooling fish / 9:
Aggregate behavior in zooplankton: phototactic swarming in four developmental stages of Coullana canadensis (Copepoda harpacticoida) / Jeannette Yen ; Elizabeth A. Bryant10:
Behavioural Ecology and Evolution / Part III:
Is the sum of the parts equal to the whole?: the conflict between individuality and group membership / 11:
Why are some members more likely to be on the outside of the group?: Testing the evolutionary predictions / William L. Romey12:
Costs and benefits as a function of group size: experiments on a swarming mysid Paramesopodopsis rufa fenton / David A. Ritz13:
Predicting the three-dimensional structure of animal aggregations from functional consideration: The role of information / Lawrence M. Dill ; C. S. Holling ; L. H. Palmer14:
Perspectives on sensory integration systems: problems, opportunities, and predictions / Carl R. Schilt ; Kenneth S. Norris15:
Models / Part IV:
Conceptual and methodological issues in the modeling of biological aggregations / Simon A. Levin16:
Schooling as a strategy for chemotaxis in a noisy environment / Daniel Grunbaum17:
Trail following as an adaptable mechanism for popular behavior / Leah Edelstein-Keshett18:
Metabolic models of fish school behaviour: The need for quantitative observations / William McFarland ; Akira Okubo19:
Social forces in animal congregations: interactive, motivational and sensory aspects / Kevin Warburton20:
Three-dimensional measurements of swarming mosquitos: a probabilistic model, measuring system, and example output / Terumi Ikawa
Unifying principles, galactic framework, and the holy grails of aggregation / Julia K. Parrish ; William M. Hamner ; Charles T. Prewitt1:
Imaging and Measurement / Part I:
Methods for three-dimensional sensing of animals / Jules S. Jaffe2:
4.

電子ブック

EB
P. C. Matthews, M. R. E. Proctor, A. M. Rucklidge, Isaac Newton Institute for Mathematical Sciences.
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1994
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Preface
Magnetic noise and the galactic dynamo / 1:
On the oscillation in model Z / 2:
Nonlinear dynamos in a spherical shell / 3:
The onset of dynamo action in alpha-lambda dynamos / 4:
Multifractality, near-singularities and the role of stretching in turbulence / 5:
Note on perfect fast dynamo action in a large-amplitude SFS map / 6:
A thermally driven disc dynamo / 7:
Magnetic instabilities in rapidly rotating systems / 8:
Modes of a flux ring lying in the equator of a star / 9:
A nonaxisymmetric dynamo in toroidal geometry / 10:
Simulating the interaction of convection with magnetic fields in the sun / 11:
Experimental aspects of a laboratory scale liquid sodium dynamo model / 12:
Influence of the period of an ABC flow on its dynamo action / 13:
Numerical calculations of dynamos for ABC and related flows / 14:
Incompressible Euler equations / 15:
On the quasimagnetostrophic asymptotic approximation related to solar activity / 16:
Simple dynamical fast dynamos / 17:
A numerical study of dynamos in spherical shells with conducting boundaries / 18:
Non-axisymmetric shear layers in a rotating spherical shell / 19:
Testing for dynamo action / 20:
Alpha-quenching in cylindrical magnetoconvection / 21:
On the stretching of line elements in fluids: an approach from different geometry / 22:
Instabilities of tidally and precessionally induced flows / 23:
Probability distribution of passive scalars with nonlinear mean gradient / 24:
Magnetic fluctuations in fast dynamos / 25:
A statistical description of MHD turbulence in laboratory plasma / 26:
Compressible magnetoconvection in three dimensions / 27:
The excitation of nonaxisymmetric magnetic fields in galaxies / 28:
Localized magnetic fields in a perfectly conducting fluid / 29:
Turbulent dynamo and the geomagnetic secular variation / 30:
On-off intermittency: general description and feedback model / 31:
Dynamo action in a nearly integrable chaotic flow / 32:
The dynamo mechanism in the deep convection zone of the sun / 33:
Shearing instabilities in magnetoconvection / 34:
On the role of rotation of the internal core relative to the mantle / 35:
Evolution of magnetic fields in a swirling jet / 36:
Analytic fast dynamo solution for a two-dimensional pulsed flow / 37:
On magnetic dynamos in thin accretion disks around compact and young stars / 38:
The strong field branch of the Childress-Soward dynamo / 39:
Evidence for the suppression of the alpha-effect by weak magnetic fields / 40:
Turbulent magnetic transport effects and their relation to magnetic field intermittency / 41:
Proving the existence of negative variation of electrical conductivity / 42:
Spherical inertial oscillation and convection / 43:
Hydrodynamics stability of the ABC flow / 44:
Dynamos with ambipolar diffusion / 45:
Subject index
Preface
Magnetic noise and the galactic dynamo / 1:
On the oscillation in model Z / 2:
5.

電子ブック

EB
Michael Aschbacher
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1996
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Fischer's Theorem / Part I:
Preliminaries / 1:
Commuting graphs of groups / 2:
The structure of 3-transposition groups / 3:
Classical groups generated by 3-transpositions / 4:
Fischer's theorem / 5:
The geometry of 3-transposition groups / 6:
Existence and Uniquenesss Of The Fischer Groups / Part II:
Some group extensions / 7:
Almost 3-transposition groups / 8:
Uniqueness systems and coverings of graphs / 9:
U4 (3) as a subgroup of U6 (2) / 10:
The existence and uniqueness of the Fischer groups / 11:
The Local Structure Of The Fischer Groups / Part III:
The 2-local structure of the Fischer groups / 12:
Elements of order 3 in orthogonal groups over GF(3) / 13:
Odd locals in Fischer groups / 14:
Normalisers of subgroups of prime order in Fischer groups / 15:
Fischer's Theorem
Fischer's theorem
Fischer's Theorem / Part I:
Preliminaries / 1:
Commuting graphs of groups / 2:
6.

電子ブック

EB
Robin Ticciati
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1999
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Relativistic quantum mechanics / 1:
Fock space, the scalar field and canonical quantization / 2:
Symmetries, conserved currents and conserved quantities / 3:
The scattering matrix and Feynmann diagrams / 4:
Differential transition probabilities and predictions / 5:
Representations of the Lorentz group / 6:
Two-component scalar fields / 7:
Four-component scalar fields / 8:
Massive vector fields / 9:
Reformulating scattering theory / 10:
Functional integral quantization / 11:
Quantization of guage theories / 12:
Anomalies of gauge theories / 13:
SU(3) representation theory / 14:
The structure of the standard model / 15:
Hadrons, flavor symmetry and nucleon-pion interactions / 16:
Tree-level applications of the standard model / 17:
Regularization and renormalization / 18:
Renormalization of QED / 19:
Renormalization and preservation of symmetries / 20:
The renormalization group equations / 21:
Quantization of gauge theories
Relativistic quantum mechanics / 1:
Fock space, the scalar field and canonical quantization / 2:
Symmetries, conserved currents and conserved quantities / 3:
7.

電子ブック

EB
Winfried Bruns, H. Jürgen Herzog
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1998
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Regular sequences and depth / 1:
Cohen-Macaulay rings / 2:
The canonical module. Gorenstein rings / 3:
Hilbert functions and multiplicities / 4:
Stanley-Reisner rings / 5:
Semigroup rings and invariant theory / 6:
Determinantal rings / 7:
Big Cohen-Macaulay modules / 8:
Homological theorems / 9:
Tight closure / 10:
Regular sequences and depth / 1:
Cohen-Macaulay rings / 2:
The canonical module. Gorenstein rings / 3:
8.

電子ブック

EB
K. Chen, Peter J. Giblin, A. Irving
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1999
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Foundations / Part I:
Introduction / 1:
Matrices and complex numbers / 2:
Whole numbers / 3:
Graphs and curves / 4:
Representation of data / 5:
Probability and random numbers / 6:
Differential and difference equations / 7:
Investigations / Part II:
Magic squares / 8:
GCDs, pseudoprimes and Miller's test / 9:
Graphics: curves and envelopes / 10:
Zigzags and fast curves / 11:
Sequences of real numbers / 12:
Newton-Raphson iteration and fractals / 13:
Permutations / 14:
Iterations for nonlinear equations / 15:
Matrices and solutions of linear systems / 16:
Functional interpolations and approximation / 17:
Ordinary differential equations / 18:
Modelling / Part III:
Checkout queues: long or short / 19:
Fish farming / 20:
Epidemics / 21:
Dynamics of snowboating / 22:
Tides / 23:
GCDs, pseudoprimes and Miller's test
Foundations / Part I:
Introduction / 1:
Matrices and complex numbers / 2:
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