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SPIRES-BOOKS: FIND KEYWORD NUMBER THEORY *END*INIT* use /tmp/qspiwww.webspi1/7075.82 QRY 131.225.70.96 . find keyword number theory ( in books using www Cover
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Call number:1118188586:ONLINE Show nearby items on shelf
Title:Computational Number Theory and Modern Cryptography
Author(s): Yan
Date:2013
Publisher:Wiley
Size:1 online resource (433 p.)
ISBN:9781118188583
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: General Computing
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Call number:0470496363:ONLINE Show nearby items on shelf
Title:Algebra and Number Theory: An Integrated Approach
Author(s): Dixon
Date:2010
Publisher:Wiley
Size:1 online resource (524 p.)
ISBN:9780470496367
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Mathematics
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Call number:TK454.E46::2003 Show nearby items on shelf
Title:Schaum's outline of theory and problems of electric circuits
Author(s): Mahmood Nahvi
Joseph A. Edminister
Date:2003
Edition:4th ed.
Publisher:New York : McGraw-Hill
Size:469 p
Contents:Introduction -- Circuit concepts -- Circuit laws -- Analysis methods -- Amplifiers and operational circuits -- Waveforms and signals -- First order circuits -- Higher order circuits and complex frequency -- Sinusoidal steady state circuit analysis -- AC power -- Polyphase circuits -- Frequency response filters and resonance -- Two port networks -- Mutual inductance and transformers -- Circuit analysis using spice and pspice -- The laplace transform method -- fourier method of waveform analysis -- Complex number system -- Matrices an determinants
ISBN:9780071393072
Series:Schaum's outline series
Keywords: Electric circuits , Problems and exercises
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Call number:SPRINGER-2016-9783662489932:ONLINE Show nearby items on shelf
Title:Mathematical Analysis II
Author(s): Vladimir A Zorich
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (720 p.)
Note:10.1007/978-3-662-48993-2
Contents:9 Continuous Mappings (General Theory) -- 10 Differential Calculus from a General Viewpoint -- 11 Multiple Integrals -- 12 Surfaces and Differential Forms in Rn -- 13 Line and Surface Integrals -- 14 Elements of Vector Analysis and Field Theory -- 1 5 Integration of Differential Forms on Manifolds -- 16 Uniform Convergence and Basic Operations of Analysis -- 17 Integrals Depending on a Parameter -- 18 Fourier Series and the Fourier Transform -- 19 Asymptotic Expansions -- Topics and Questions for Mid term Examinations -- Examination Topics -- Examination Problems (Series and Integrals Depending on a Parameter) -- Intermediate Problems (Integral Calculus of Several Variables) -- Appendices: A Series as a Tool (Introductory Lecture) -- B Change of Varia bles in Multiple Integrals -- C Multidimensional Geometry and Functions of a Very Large Number of Variables -- D Operators of Field Theory in Curvilinear Coordinates -- E Modern Formula of Newton–Leibniz -- References -- Index of Basic
Notation -- Subject Index -- Name Index
ISBN:9783662489932
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Physics , Mathematics , Analysis , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2016-9783319404134:ONLINE Show nearby items on shelf
Title:Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases
Author(s):
Date:2016
Size:1 online resource (63 p.)
Note:10.1007/978-3-319-40413-4
Contents:Preface -- A Reality of Its Own -- Modeling the Impact of Behavior Change on the Spread of Ebola -- A model for coupled outbreaks contained by behavior change -- Real-time assessment of the international spreading risk associated with the 2014 West African Ebola Outbreak -- Modeling the case of early detection of Ebola virus disease -- Modeling ring vaccination strategies to control Ebola virus disease epidemics -- Estimation of the number of sickbeds during Ebola epidemics using optimal control the ory -- Inverse problems and Ebola virus disease using an age of infection model -- Assessing the Efficiency of Movement -- Restriction as a Control Strategy of Ebola -- Patch models of EVD transmission dynamics -- From bee species aggregation to models of disease avoidance: The \emph{Ben-Hur} effect} -- Designing Public Health Policies to Mitigate the Adverse Consequences of Rural-Urban Migration via Meta-Population Modeling -- Age of Infection Epidemic Models -- Optimal Control of
Vaccination in an Age-Structured Cholera Model -- A Multi-risk Model for Understanding the Spread of Chlamydia -- The 1997 Measles Outbreak in Metropolitan São Paulo, Brazil: Strategic Implications of Increasing Urbanization -- Methods to determine the end of an infectious disease epidemic: A short review -- Statistical considerations in infectious disease randomized controlled trials -- Epidemic models with and without mortality: when does it matter?- Capturing Household Transmission in Compartmen tal Models of Infectious Disease -- Bistable endemic states in a Susceptible-Infectious-Susceptible model with behavior-dependent Vaccination -- Index
ISBN:9783319404134
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Infectious diseases , Epidemiology , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Infectious Diseases , Statistics for Life Sciences, Medicine, Health Sciences , Epidemiology
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Call number:SPRINGER-2016-9783319388557:ONLINE Show nearby items on shelf
Title:Multiplicative Ideal Theory and Factorization Theory Commutative and Non-commutative Perspectives
Author(s):
Date:2016
Size:1 online resource (407 p.)
Note:10.1007/978-3-319-38855-7
Contents:Multiplicative Ideal Theory in Non-commutative Rings (E. Akalan, H. Marubayashi) -- About number fields with Pólya group of order ≤ 2 (D. Adam, J.-L. Chabert) -- The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmet ic Combinatorics (K. Cziczler, M. Domokos, A. Geroldinger) -- Ring and semigroup constructions (M. D'Anna) -- New Distinguished Classes of Spectral Spaces (C.A. Finocchiaro, M. Fontana, D. Spirito) -- Relative polynomial closure and monadically Krull mono ids of integer-valued polynomials (S. Frisch).-An overview of the computational aspects of nonunique factorization invariants (P.A. García-Sánchez).-Arithmetic of Mori domains and monoids: The global case (F. Kainrath) -- Prüfer Domains of Integer-Valu ed Polynomials (K.A. Loper, M. Syvuk) -- Lobal Properties of Integral Domains (T.G. Lucas) -- Topological aspects of irredundant intersections of ideals and valuation rings (B. Olberding) -- Noetherian semigroup algebras and beyond (J. Okniński)
-- Idempotent pairs and PRINC domains (G. Peruginelli, L. Salce, P. Zanardo) -- Some recent results and open problems on sets of lengths of Krull monoids with finite class group (W.A. Schmid) -- Factorizations of elements in noncommutative rings: A survey (D. Smertnig)
ISBN:9783319388557
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 170
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Group theory , Number theory , Mathematics , Commutative Rings and Algebras , Number Theory , Group Theory and Generalizations , Associative Rings and Algebras , Algebraic Geometry
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Call number:SPRINGER-2016-9783319387987:ONLINE Show nearby items on shelf
Title:The Congruences of a Finite Lattice A Proof-by-Picture Approach
Author(s): George Grätzer
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (346 p.)
Note:10.1007/978-3-319-38798-7
ISBN:9783319387987
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Ordered algebraic structures , Mathematical logic , Number theory , Probabilities , Mathematics , Order, Lattices, Ordered Algebraic Structures , Mathematical Logic and Foundations , Probability Theory and Stochastic Processes , Number Theory
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Call number:SPRINGER-2016-9783319323770:ONLINE Show nearby items on shelf
Title:Pi: The Next Generation A Sourcebook on the Recent History of Pi and Its Computation
Author(s): David H Bailey
Date:2016
Size:1 online resource (507 p.)
Note:10.1007/978-3-319-32377-0
Contents:Foreword -- Preface -- Introduction -- Computation of pi using arithmetic-geometric mean -- Fast multiple-precision evaluation of elementary functions -- The arithmetic-geometric mean of Gauss -- The arithmetic-geometric mean and fast computation of elementary functions -- A simplified version of the fast algorithms of Brent and Salamin -- Is pi normal? -- The computation of pi to 29,360,000 decimal digits using Borweins' quartically convergent algorithm -- Gauss, Landen, Ramanujan, the arithmetic-g eometric mean, ellipses, pi, and the ladies diary -- Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation.-Ramanujan and pi -- 11. Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi -- Pi, Euler numbers, and asymptotic expansions -- A spigot algorithm for the digits of pi -- On the rapid computation of various polylogarithmic constants -- Similarities in irrationality proofs for pi, ln 2, ζ(2),
and ζ(3) -- Unbounded spigot algorithms for the digits of pi -- Mathematics by experiment: Plausible reasoning in the 21st century -- Approximations to pi derived from integrals with nonnegative integrands -- Ramanujan's series for 1/π: A survey - - The computation of previously inaccessible digits of π2 and Catalan's constant -- Walking on real numbers -- Birth, growth and computation of pi to ten trillion digits -- Pi day is upon us again and we still do not know if pi is normal -- The Life of p i -- I prefer pi: A brief mathematical history and anthology of articles in the American Mathematical Monthly -- Bibliography -- Index
ISBN:9783319323770
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer mathematics , History , Number theory , Mathematics , Computational Mathematics and Numerical Analysis , Number Theory , History of Mathematical Sciences
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Call number:SPRINGER-2016-9783319321622:ONLINE Show nearby items on shelf
Title:Open Problems in Mathematics
Author(s):
Date:2016
Size:1 online resource (17 p.)
Note:10.1007/978-3-319-32162-2
Contents:Preface (J.F. Nash, Jr., M.Th. Rassias) -- Introduction (M. Gromov) -- 1. P Versus NP (S. Aaronson) -- 2. From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond (O. Barrett, F.W.K. Firk, S.J. Miller, C. Turnage-Butterbaugh) -- 3 . The Generalized Fermat Equation (M. Bennett, P. Mihăilescu, S. Siksek) -- 4. The Conjecture of Birch and Swinnerton-Dyer (J. Coates) -- 5. An Essay on the Riemann Hypothesis (A. Connes) -- 6. Navier Stokes Equations (P. Constantin) -- 7. Plateau's Prob lem (J. Harrison, H. Pugh) -- 8. The Unknotting Problem (L.H. Kauffman) -- 9. How Can Cooperative Game Theory Be Made More Relevant to Econimics? (E. Maskin) -- 10. The Erdős-Szekeres Problem (W. Morris, V. Soltan) -- 11. Novikov's Conjecture (J. Rosenbe rg) -- The Discrete Logarithm Problem (R. Schoof) -- 13. Hadwiger's Conjecture (P. Seymour) -- 14. The Hadwiger-Nelson Problem (A. Soifer) -- 15. Erdős's Unit Distance Problem (E. Szemerédi) -- 16. Goldbach's Conjectures (R.C. Vaughan) -- 17.
The Hodge Conjecture (C. Voisin).
ISBN:9783319321622
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Partial differential equations , Game theory , Differential geometry , Number theory , Operations research , Management science , Mathematics , Number Theory , Algebraic Geometry , Differential Geometry , Partial Differential Equations , Game Theory, Economics, Social and Behav. Sciences , Operations Research, Management Science
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Call number:SPRINGER-2016-9783319320854:ONLINE Show nearby items on shelf
Title:Geometry, Algebra and Applications: From Mechanics to Cryptography
Author(s):
Date:2016
Size:1 online resource (198 p.)
Note:10.1007/978-3-319-32085-4
Contents:1 W. Batat, P. M. Gadea, J. A. Oubiña, A survey on homogeneous structures on the classical hyperbolic spaces -- 2 A. Bejancu, On the (1 + 3) threading of spacetime -- 3 M. Brozos-Vázquez, E. Calviño-Louzao, E. García-Río, R. Vázquez-Lorenzo, L ocal structure of self-dual gradient Yamabe solitons -- 4 G. Calvaruso, The prescribed curvature problem in low dimension -- 5 M. Castrillón López, P. L. García, Euler-Poincare reduction by a subgroup of symmetries as an optimal control problem -- 6 M. Castrillón López, T. S. Ratiu, Morse families and Lagrangian submanifolds -- 7 R. Durán Díaz, L. Hernández Encinas, Special primes: properties and applications -- 8 F. Etayo, Rotation Minimizing vector fields and frames in Riemannian manifolds -- 9 R. Ferreiro Pérez, Local anomaly cancellation and equivariant cohomology of jet bundles -- 10 A. Fúster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for stream ciphers -- 11 V. Gayoso Martínez, L. Hernández Encinas, A. Martín Muñoz,
Implementation of cryptographic algorithms for elliptic curves -- 12 R. Hernández-Amador, J. Monterde, J. Vallejo, Supermanifolds, symplectic geometry and curvature -- 13 A. Marcelo, F. Marcelo, C. Rodríguez, Prime submodules and symmetric algebra s -- 14 A. Martín del Rey, G. Rodríguez Sánchez, Application to cybersecurity of the stability theory of the systems of ordinary differential equations -- 15 I. V. Mykytyuk, On the non-triviality of the eight-form T4(w) on manifolds with a Spin(9)-stru cture -- 16 A. Peinado, Flaws in the application of Number Theory in Key Distribution Schemes for Multicast Networks -- 17 L. Pozo, E. Rosado, Einstein-Hilbert Lagrangian induced on the linear frame bundle
ISBN:9783319320854
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 161
Keywords: Mathematics , Data structures (Computer science) , Data encryption (Computer science) , Coding theory , Differential geometry , Mathematical physics , Mathematics , Mathematical Physics , Differential Geometry , Data Encryption , Data Structures , Coding and Information Theory
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Call number:SPRINGER-2016-9783319309514:ONLINE Show nearby items on shelf
Title:Rigid Cohomology over Laurent Series Fields
Author(s): Christopher Lazda
Date:2016
Size:1 online resource (267 p.)
Note:10.1007/978-3-319-30951-4
Contents:Introduction -- First definitions and basic properties -- Finiteness with coefficients via a local monodromy theorem -- The overconvergent site, descent, and cohomology with compact support -- Absolute coefficients and arithmetic applications -- Ri gid cohomology -- Adic spaces and rigid spaces -- Cohomological descent -- Index
ISBN:9783319309514
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algebra and Applications: 21
Keywords: Mathematics , Algebraic geometry , Number theory , Mathematics , Algebraic Geometry , Number Theory
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Call number:SPRINGER-2016-9783319290256:ONLINE Show nearby items on shelf
Title:Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control
Author(s): Russell Johnson
Date:2016
Edition:1st ed. 2016
Size:1 online resource (497 p.)
Note:10.1007/978-3-319-29025-6
Contents:Nonautonomous linear Hamiltonian systems -- The rotation number and the Lyapunov index for real nonautonomous linear Hamiltonian systems -- The Floquet coeffcient for nonautonomous linear Hamiltonian systems: Atkinson problems -- The Weyl functions -- Weak disconjugacy for linear Hamiltonian systems -- Nonautonomous control theory. Linear regulator problem and the Kalman-Bucy filter -- Nonautonomous control theory. A general version of the Yakubovich Frequency Theorem -- Nonautonomous control theor y. Linear-quadratic dissipative control processes -- Index -- References
ISBN:9783319290256
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Developments in Mathematics: 36
Keywords: Mathematics , Dynamics , Ergodic theory , Differential equations , System theory , Mathematics , Dynamical Systems and Ergodic Theory , Ordinary Differential Equations , Systems Theory, Control
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Call number:SPRINGER-2016-9783319284439:ONLINE Show nearby items on shelf
Title:Computational Analysis AMAT, Ankara, May 2015 Selected Contributions
Author(s):
Date:2016
Size:1 online resource (396 p.)
Note:10.1007/978-3-319-28443-9
Contents:Bivariate Left Fractional Pseudo-Polynomial Monotone Approximation (Anastassiou, G.A.) -- Bivariate Right Fractional Polynomial Monotone Approximation (Anastassiou, G.A.) -- Uniform Approximation with Rates by Multivariate Generalized Discrete Singu lar Operators (Anastassiou, G.A. & Kester, M.) -- Summation Process by Max-Product Operators (Gökçer, T.Y. & Duman, O.) -- Fixed Point in a Non-Metrizable Space (Tallafha, A. & Alhihi, S.A.) -- Second Hankel Determinant for New Subclass Defined by a Lin ear Operator (Amer, A.A.) -- Some Asymptotics for Extremal Polynomials (Alpan, G., Goncharov, A. & Hatinoglu, B.) -- Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation (Lupas, A.A.) -- Some Results on the Bivariat e Laguerre Polynomials (Özarslan, M.A. & Kürt, C.) -- Inner Product Spaces and Quadratic Functional Equations (Park, C., Park, W.-G. & Rassias, T.M.) -- Fuzzy Partial Metric Spaces (Amer, F.J.) -- Bounded and Unbounded Fundamental Solutions
in MAC Models (Neygebauer, I.) -- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, İ., Altın, B. & Yüksel, I.) -- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, İ., Dinlemez, Ü. & Alt ın, B.) -- Blow up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions (Kalantarova, J. & Polat, M.) -- Functional Inequalities in Fuzzy Normed Spaces (Lee, J.R., Saadati, R. & Shin, D.Y.) -- Principal Vectors of M atrix-valued Difference Operators (Aygar, Y. & Olgun, M.) -- Some Extensions of Preinvexity for Stochastic Processes (Okur Bekar, N., Günay Akdemir, H. & İşcan, İ.) -- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.) -- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Altıntaş, O) -- Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order (Ismailov, Z.I. & Ipek, P.) -- Non-Commutative Geometry
and Applications to Physical Systems (Zaim, S.) -- The (s,t)-Generalized Jacobsthal Matrix Sequences (Uygun, Ş. & Uslu, K.) -- Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation (Buttar, T.N. & Sajid, N.) -- V oronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators (Vedi, T. & Özarslan, M.A.) -- Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method (Taş, E. & Yurdakadim, T.) -- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.).
ISBN:9783319284439
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 155
Keywords: Mathematics , Approximation theory , Potential theory (Mathematics) , Number theory , Mathematics , Number Theory , Potential Theory , Approximations and Expansions
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Call number:SPRINGER-2016-9783319281063:ONLINE Show nearby items on shelf
Title:University of Toronto Mathematics Competition (2001–2015)
Author(s): Edward J Barbeau
Date:2016
Size:1 online resource (1 p.)
Note:10.1007/978-3-319-28106-3
Contents:Preface -- 1. Problems of the Contests -- 2. Algebra -- 3. Inequalities -- 4. Sequences and Series -- 5. Calculus and its Applications -- 6. Other Topics in Analysis -- 7. Linear Algebra -- 8. Geometry -- 9. Group Theory -- 10. Combinatorics and Fi nite Mathematics -- 11. Number Theory -- Appendix A: Definitions, Conventions, Notation, and Basics -- Appendix B: Top-Ranking Students -- Index.
ISBN:9783319281063
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Group theory , Differential equations , Functions of real variables , Geometry , Mathematics , Real Functions , Geometry , Group Theory and Generalizations , Ordinary Differential Equations
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Call number:SPRINGER-2016-9783319272658:ONLINE Show nearby items on shelf
Title:Basic Concepts in Computational Physics
Author(s): Benjamin A Stickler
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (409 p.)
Note:10.1007/978-3-319-27265-8
Contents:Some Basic Remarks -- Part I Deterministic Methods -- Numerical Differentiation -- Numerical Integration -- The KEPLER Problem -- Ordinary Differential Equations – Initial Value Problems -- The Double Pendulum -- Molecular Dynamics --
Numerics of Ordinary Differential Equations - Boundary Value Problems -- The One-Dimensional Stationary Heat Equation -- The One-Dimensional Stationary SCHRÖDINGER Equation -- Partial Differential Equations -- Part II Stochastic
Methods -- Pseudo Random Number Generators -- Random Sampling Methods -- A Brief Introduction to Monte-Carlo Methods -- The ISING Model -- Some Basics of Stochastic Processes -- The Random Walk and Diffusion Theory -- MARKOV-Chain
Monte Carlo and the POTTS Model -- Data Analysis -- Stochastic Optimization -- Appendix: The Two-Body Problem -- Solving Non-Linear Equations. The NEWTON Method -- Numerical Solution of Systems of Equations -- Fast Fourier Transform --
Basics of Probability Theory -- Phase Transitions -- Fractional Integrals and Derivatives in 1D -- Least Squares Fit -- Deterministic Optimization
ISBN:9783319272658
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Chemistry, Physical and theoretical , Computer mathematics , Applied mathematics , Engineering mathematics , Physics , Numerical and Computational Physics , Appl.Mathematics/Computational Methods of Engineering , Computational Mathematics and Numerical Analysis , Theoretical and Computational Chemistry
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Call number:SPRINGER-2016-9783319266381:ONLINE Show nearby items on shelf
Title:Néron Models and Base Change
Author(s): Lars Halvard Halle
Date:2016
Edition:1st ed. 2016
Size:1 online resource (151 p.)
Note:10.1007/978-3-319-26638-1
ISBN:9783319266381
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2156
Keywords: Mathematics , Algebraic geometry , Number theory , Mathematics , Algebraic Geometry , Number Theory
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Call number:SPRINGER-2016-9783319255682:ONLINE Show nearby items on shelf
Title:My Search for Ramanujan How I Learned to Count
Author(s): Ken Ono
Date:2016
Size:1 online resource (10 p.)
Note:10.1007/978-3-319-25568-2
Contents:Prologue -- Part I: My Life Before Ramanujan -- Tiger Boy -- My roots -- My childhood -- An Unexpected Letter -- My escape -- Part II: The Legend of Ramanujan -- Little lord -- A creative genius -- An addiction -- Goddess -- Purgatory -- Janaki -- I beg to introduce myself -- These formulas defeated me completely -- Permission from a Goddess -- Together at last -- Culture Shock -- Triumph over racism -- English malaise -- Ramanujan's homecoming -- The tragic end -- Part III: My Life Adrift -- I beli eve in Santa -- Out of the frying pan and into the fire -- Erika -- The Pirate Professor -- Growing pains -- Part IV: Finding my way -- My teacher -- Hitting bottom -- A miracle -- My Hardy -- Hitting my stride -- Bittersweet reunion -- I count now -- The idea of Ramanujan -- My spirituality -- Epilogue -- My pilgrimages -- Face to Face with Ramanujan -- My search goes on -- Afterword -- Two Questions -- Fermat's Last Theorem and the Tokyo-Nikko Conference -- Mathematical gems --
Ramanujan's 1729 Taxicab number -- Approximations to p -- Highly composite numbers -- Euler's partition numbers -- Rogers-Ramanujan identities -- Ramanujan's tau-function
ISBN:9783319255682
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Number theory , Mathematics , Number Theory , History of Mathematical Sciences , History of Science
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Call number:SPRINGER-2016-9783319248714:ONLINE Show nearby items on shelf
Title:Nonlinear Dynamics: Materials, Theory and Experiments Selected Lectures, 3rd Dynamics Days South America, Valparaiso 3-7 November 2014
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (114 p.)
Note:10.1007/978-3-319-24871-4
Contents:Visualisation of the intensity and phase dynamics of semiconductor lasers via electric field reconstructions -- Coarsening dynamics of umbilical defects in inhomogeneous medium -- Spreading, Nonergodicity, and Selftrapping: a puzzle
of interacting disordered lattice waves -- Nonlinear dynamics of Vertical-Cavity Surface-Emitting Lasers: deterministic chaos and random number generation -- Experimental observation of front propagation in Lugiato-Lefever equation in
a negative diffractive regime and inhomogeneous Kerr cavity -- Splitting, hatching and transformation of the repetition rate in a mode locked laser -- Spontaneous Symmetry Breaking in Nonlinear Systems: an Overview and a Simple Model
-- Experimental Spatiotemporal Chaotic textures in a Liquid Crystal Light Valve with optical feedback
ISBN:9783319248714
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Physics: 173
Keywords: Physics , Physical chemistry , Lasers , Photonics , Statistical physics , Dynamical systems , Complexity, Computational , Fluid mechanics , Physics , Statistical Physics, Dynamical Systems and Complexity , Laser Technology, Photonics , Physical Chemistry , Engineering Fluid Dynamics , Complexity
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Call number:SPRINGER-2016-9781493934089:ONLINE Show nearby items on shelf
Title:Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
Author(s): Audrey Terras
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (21 p.)
Note:10.1007/978-1-4939-3408-9
ISBN:9781493934089
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Harmonic analysis , Applied mathematics , Engineering mathematics , Geometry , Number theory , Combinatorics , Statistics , Mathematics , Abstract Harmonic Analysis , Number Theory , Geometry , Combinatorics , Applications of Mathematics , Statistical Theory and Methods
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Call number:SPRINGER-2014-9789401786225:ONLINE Show nearby items on shelf
Title:Computational Experiment Approach to Advanced Secondary Mathematics Curriculum [electronic resource]
Author(s): Sergei Abramovich
Date:2014
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digitaleducation era. This approac h, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allowsone (in the spirit of Freudenthal) to bridge seri ous mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When usedappropriately, the approach creates conditions for collateral learning (in t he spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teachereducation program, this book addresses a call for the preparation of teachers capable of utilizi ng modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the wholeSTEM education at the secondary level. By the same token, using the books pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation ofengineering profession
Contents:Preface
1. Theoretical foundations of computational experiment approach to secondary mathematics
2. One
variable equations and inequalities: the unity of computational experiment and formal demonstration
3. Computationally supported study of quadratic functions depending on parameters
4. Computational experiment approach to equations with parameters
5. Inequalities with parameters as generators of new meanings
6. Computational experiments in trigonometry
7. Advancing stem education through temp: Geometric probabilities
8. Exploring topics in elementary number theory thr
ISBN:9789401786225
Series:eBooks
Series:SpringerLink
Series:Mathematics Education in the Digital Era, 2211-8136 : v3
Series:Mathematics and Statistics (Springer-11649)
Keywords: Education , Computer science Mathematics , Computer software , Mathematics
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Call number:SPRINGER-2014-9789400746381:ONLINE Show nearby items on shelf
Title:The Mathematics Teacher in the Digital Era [electronic resource] : An International Perspective on Technology Focused Professional Development
Author(s): Alison Clark-Wilson
Ornella Robutti
Nathalie Sinclair
Date:2014
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:This volume addresses the key issue of the initial education and lifelong professional learning of teachers of mathematics to enable them to realize the affordances of educational technology for mathematics. With invitedcontributions from leading sch olars in the field, this volume contains a blend of research articles and descriptive texts. In the opening chapter John Mason invites the reader to engage in a number of mathematics tasks that highlightimportant features of technology-mediated mathematic al activity. This is followed by three main sections: An overview of current practices in teachers use of digital technologies in the classroom and explorations of thepossibilities for developing more effective practices drawing on a range of research per spectives (including grounded theory, enactivism and Valsiners zone theory). Aset of chapters that share many common constructs (such asinstrumental orchestration, instrumental distance and double instrumental genesis) and research settings that have emer ged from the French research community, but have also been taken up by other colleagues. Meta-level considerationsof research in the domain by contrasting different approaches and proposing connecting or uniting elements
Contents:Contents
Opening section. Foreword: David Pimm
Introduction: Alison Clark
Wilson, Ornella Robutti and Nathalie Sinclair
Chapter 0: Interactions between teacher, student, software and mathematics: Getting a purchase on learning with technology: John Mason
Section A
Chapter 1: Exploring the quantitative and qualitative gap between expectation and implementation: A survey of English mathematics teachers uses of ICT: Nicola Bretscher
Chapter 2: Teaching with digital technology: Obstacles and opportunities: Michael Thomas and Joann Palmer
Chapter 3: A developmental model
ISBN:9789400746381
Series:eBooks
Series:SpringerLink
Series:Mathematics Education in the Digital Era, 2211-8136 : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Education , Mathematics , Education Psychology
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Call number:SPRINGER-2014-9788876425011:ONLINE Show nearby items on shelf
Title:Introductory Notes on Valuation Rings and Function Fields in One Variable [electronic resource]
Author(s): Renata Scognamillo
Umberto Zannier
Date:2014
Publisher:Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale
Size:1 online resource
Note:The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially concerning the theory ofalgebraic curves and their f unction fields. The correspondences of this with other viewpoints (e.g. of geometrical or topological nature) are often indicated, also to provide motivations and intuition for many results. Links witharithmetic are also often indicated. There are three a ppendices, concerning Hilberts Nullstellensatz (for which several proofs are provided), Puiseux series and Dedekind domains. There are also several exercises, often accompaniedby hints, which sometimes develop further results not included in full for brev ity reasons
Contents:Generalities on function fields of one variable
Valuation rings
Completions
Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains
ISBN:9788876425011
Series:eBooks
Series:SpringerLink
Series:Publications of the Scuola Normale Superiore : v14
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Geometry , Number theory
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Call number:SPRINGER-2014-9788132218203:ONLINE Show nearby items on shelf
Title:Kinetics of Complex Plasmas [electronic resource]
Author(s): Mahendra Singh Sodha
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:The presentation in the book is based on charge balance on the dust particles, number and energy balance of the constituents and atom-ion-electron interaction in the gaseous plasma. Size distribution of dust particles, statisticalmechanics, Quantum e ffects in electron emission from and accretion on dust particles and nonlinear interaction of complex plasmas with electric and electromagnetic fields have been discussed in the book. The book introduces the readerto basic concepts and typical application s. The book should be of use to researchers, engineers and graduate students
Contents:Introduction
Electron Emission from Dust
Accretion of Electrons/ions on Dust Particles
Kinetics of Dust
electron Cloud
Kinetics of Complex Plasmas with Uniform Size Dust
Kinetics of Flowing Complex Plasma
Kinetics of Complex Plasmas having Dust with a Size Distribution
Theory of Electrical Conduction
Electromagnetic Wave Propagation in Complex Plasmas
Fluctuation of Charge on Dust Particles in a Complex Plasma
Kinetics of Complex Plasmas in Space
Complex Plasma as Working Fluid in MHD Power Generators
Rocket Exhaust Complex Plasmas
Kinetics of Complex Pla
ISBN:9788132218203
Series:eBooks
Series:SpringerLink
Series:Springer Series on Atomic, Optical, and Plasma Physics, 1615-5653 : v81
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic , Nanotechnology
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Call number:SPRINGER-2014-9788132215998:ONLINE Show nearby items on shelf
Title:Basic Modern Algebra with Applications [electronic resource]
Author(s): Mahima Ranjan Adhikari
Avishek Adhikari
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a waythat it encourages ind ependent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. Inaddition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theoryto structure theory of rings and homological algebra. Algebraic as pects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraictopology, category theory, algebraic geometry, algebraic number theory, cryptography and theo retical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, withthe help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, example s, exercises and historical notes represents a valuable and unique resource
Contents:Prerequisites: Basics of Set Theory and Integers
Groups: Introductory Concepts
Actions of Groups, Topological Groups and semigroups
Rings: Introductory Concepts
Ideals of Rings: Introductory concepts
Factorization in Integral Domains and in Polynomial Rings
Rings with Chain Conditions
Vector Spaces
Modules
Algebraic Aspects of Number Theory
Algebraic Numbers
Introduction to Mathematical Cryptography
Appendix A: Some Aspects of Semirings
Appendix B: Category Theory
Appendix C: A Brief Historical Note
ISBN:9788132215998
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Group theory , Number theory
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Call number:SPRINGER-2014-9784431551089:ONLINE Show nearby items on shelf
Title:Weakly Wandering Sequences in Ergodic Theory [electronic resource]
Author(s): Stanley Eigen
Arshag Hajian
Yuji Ito
Vidhu Prasad
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant anddeep properties of ergo dic transformations that preserve an infinite measure. This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinitemeasure. Connections of these sequences to additi ve number theory and tilings of the integers are also discussed. The material presented is self-contained and accessible to graduate students. A basic knowledge of measure theory isadequate for the reader
ISBN:9784431551089
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Number theory
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Call number:SPRINGER-2014-9784431549192:ONLINE Show nearby items on shelf
Title:Bernoulli Numbers and Zeta Functions [electronic resource]
Author(s): Tsuneo Arakawa
Tomoyoshi Ibukiyama
Masanobu Kaneko
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powersof consecutive integers . The real reason that they are indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers. This leads to more advancedtopics, a number of which are treated in this book: Historical remarks on Bernoulli numbers and the formula for the sum of powers of consecutive integers a formula for Bernoulli numbers by Stirling numbers the Clausenvon Staudttheorem on the denominators of Bernoulli numbers Kummer's congruence betw een Bernoulli numbers and a related theory of p-adic measures the EulerMaclaurin summation formula the functional equation of the Riemann zeta function andthe Dirichlet L functions, and their special values at suitable integers various formulas of exponen tial sums expressed by generalized Bernoulli numbers the relation between ideal classes of orders of quadratic fields and equivalenceclasses of binary quadratic forms class number formula for positive definite binary quadratic forms congruences between so me class numbers and Bernoulli numbers simple zeta functions of prehomogeneous vector spaces Hurwitz numbers
ISBN:9784431549192
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Global analysis (Mathematics) , Number theory
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Call number:SPRINGER-2014-9784431545866:ONLINE Show nearby items on shelf
Title:Measurements of Spin-Orbit Angles for Transiting Systems [electronic resource] : Toward an Understanding of the Migration History of Exoplanets
Author(s): Teruyuki Hirano
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:This thesis presents accurate analyses of the spin-orbit angle for many remarkable transiting exoplanetary systems, including the first measurement of the Rossiter-McLaughlin effect for a multiple transiting system. The authorpresents the observatio nal methods needed to probe the spin-orbit angle, the relation between the stellar spin axis and planetary orbital axis. Measurements of the spin-orbit angle provide us a unique and valuable opportunity tounderstand the origin of close-in giant exoplanets , called hot Jupiters. The first method introduced involves observations of the Rossiter-McLaughlin effect (RM effect). The author points out the issues with the previoustheoretical modeling of the RM effect and derives a new and improved theory. Applica tions of the new theory to observational data are also presented for a number of remarkable systems, and the author shows that the new theory minimizesthe systematic errors by applying it to the observational data. The author also describes another metho d for constraining the spin-orbit angle: by combining the measurements of stellar flux variations due to dark spots on thestellar surface, with the projected stellar rotational velocity measured via spectroscopy, the spin-orbit angles along the line-of-si ght are constrained for the transiting exoplanetary systems reported by the Kepler spacetelescope
Contents:Introduction
Evolution History of Extrasolar Planetary Systems
Improved Modeling of the Rossiter
McLaughlin Effect
New Observations and Improved Analyses of the Rossiter
McLaughlin Effect
Toward the Measurements of Spin
Orbit Relations for Small Planets
Summary and Future Prospects
ISBN:9784431545866
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Planetology , Astrophysics
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Call number:SPRINGER-2014-9784431545712:ONLINE Show nearby items on shelf
Title:Nevanlinna Theory in Several Complex Variables and Diophantine Approximation [electronic resource]
Author(s): Junjiro Noguchi
Jrg Winkelmann
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:The aim of this book is to provide a comprehensive account of higher dimensional Nevanlinna theory and its relations with Diophantine approximation theory for graduate students and interested researchers. This book with ninechapters systematically de scribes Nevanlinna theory of meromorphic maps between algebraic varieties or complex spaces, building up from the classical theory of meromorphic functions on the complex plane with full proofs in Chap. 1 tothe current state of research. Chapter 2 present s the First Main Theorem for coherent ideal sheaves in a very general form. With the preparation of plurisubharmonic functions, how the theory to be generalized in a higher dimension isdescribed. In Chap. 3 the Second Main Theorem for differentiably non-d egenerate meromorphic maps by Griffiths and others is proved as a prototype of higher dimensional Nevanlinna theory. Establishing such a Second Main Theorem forentire curves in general complex algebraic varieties is a wide-open problem. In Chap. 4, the Ca rtan-Nochka Second Main Theorem in the linear projective case and the Logarithmic Bloch-Ochiai Theorem in the case of general algebraicvarieties are proved. Then the theory of entire curves in semi-abelian varieties, including the Second Main Theorem of N oguchi-Winkelmann-Yamanoi, is dealt with in full details in Chap. 6. For that purpose Chap. 5 is devoted to thenotion of semi-abelian varieties. The result leads to a number of applications. With these results, the Kobayashi hyperbolicity problems are dis cussed in Chap. 7. In the last two chapters Diophantine approximation theory is dealt withfrom the viewpoint of higher dimensional Nevanlinna theory, and the Lang-Vojta conjecture is confirmed in some cases. In Chap. 8 the theory over function fields is d iscussed. Finally, in Chap. 9, the theorems of Roth, Schmidt,Faltings, and Vojta over number fields are presented and formulated in view of Nevanlinna theory with results motivated by those in Chaps. 4,
Contents:Nevanlinna Theory of Meromorphic Functions
First Main Theorem
Differentiably Non
Degenerate Meromorphic Maps
Entire Curves into Algebraic Varieties
Semi
Abelian Varieties
Entire Curves into Semi
Abelian Varieties
Kobayashi Hyperbolicity
Nevanlinna Theory over Function Fields
Diophantine Approximation
Bibliography
Index
Symbols
ISBN:9784431545712
Series:eBooks
Series:SpringerLink
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v350
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Functions of complex variables , Differential equations, partial , Number theory
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Call number:SPRINGER-2014-9783662442050:ONLINE Show nearby items on shelf
Title:Proofs from THE BOOK [electronic resource]
Author(s): Martin Aigner
Gnter M Ziegler
Date:2014
Edition:5th ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This revised and enlarged fifth editionfeatures four new chapters, which contain highly original and delightful proofs for classics such as the spectral theorem from linear algebra, some more recent jewels like thenon-existence of the Borromean rings and other surprises. From the Reviews ... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing andglorious ways. There is vast wealth within its pages, one gem aft er another. ... Aigner and Ziegler... write: ... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliantideas, clever insights and wonderful observations. I do. ... Notices of the AMS, August 1999 ... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It isa pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary bac kground is given separately, and the proofs are brilliant. ... LMS Newsletter, January 1999 Martin Aigner andGnter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erd s. The theorems are so fundamental, their proofs so elegant, and the remaining openquestions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... SIGACT News, December 2011
Contents:Number Theory: 1. Six proofs of the infinity of primes
2. Bertrands postulate
3. Binomial coefficients are (almost) never powers
4. Representing numbers as sums of two squares
5. The law of quadratic reciprocity
6. Every finite division ring is a field
7. The spectral theorem and Hadamards determinant problem
8. Some irrational numbers
9. Three times 2/6
Geometry: 10. Hilberts third problem: decomposing polyhedral
11. Lines in the plane and decompositions of graphs
12. The slope problem
13. Three applications of Eulers formula
14. Cauchys
ISBN:9783662442050
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Global analysis (Mathematics) , Combinatorics , Geometry , Number theory
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Call number:SPRINGER-2014-9783662439203:ONLINE Show nearby items on shelf
Title:Geometry and Analysis of Fractals [electronic resource] : Hong Kong, December 2012
Author(s): De-Jun Feng
Ka-Sing Lau
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written bythe leading experts in their respective fields. The articles are based on papers presented at the International Conference on Advances on Fractals and Related Topics, held on December 10-14, 2012 at the Chinese University of Hong Kong.The volume offers insights into a number o f exciting, cutting-edge developments in the area of fractals, which has close ties to and applications in other areas such as analysis, geometry, number theory, probability and mathematicalphysics.
Contents:Mandelbrot cascades and related topics
Law of pure types and some exotic spectra of fractal spectral measures
The role of transfer operators and shifts in the study of fractals: encoding
models, analysis and geometry, commutative and non
commutative
Generalized energy inequalities and higher multifractal moments
Some Aspects of Multifractal analysis
Heat kernels on metric measure spaces
Stochastic completeness of jump processes on metric measure spaces
Self similar sets, entropy and additive combinatorics
Quasisymmetric modification of metrics on self
similar sets
Re
ISBN:9783662439203
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v88
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783662438312:ONLINE Show nearby items on shelf
Title:Conformal Field Theory, Automorphic Forms and Related Topics [electronic resource] : CFT, Heidelberg, September 19-23, 2011
Author(s): Winfried Kohnen
Rainer Weissauer
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book, part of the seriesContributions in Mathematical and Computational Sciences,reviews recent developments in the theory of vertex operator algebras (VOAs) and their applications to mathematics and physics. Themathematical theory of VOAs orig inated from the famous monstrous moonshine conjectures of J.H. Conway and S.P. Norton, which predicted a deep relationship between the characters of the largest simple finite sporadic group, the Monster,and the theory of modular forms inspired by the obse rvations of J. MacKay and J. Thompson. The contributions are based on lectures delivered at the 2011 conference on Conformal Field Theory, Automorphic Forms and Related Topics,organized by the editors as part of a special program offered at Heidelberg Un iversity that summer under the sponsorship of the MAThematics Center Heidelberg (MATCH)
Contents:1. A. Milas: Characters of Modules of Irrational Vertex Algebras
2. G. Mason: Lattice subalgebras of strongly regular vertex operator algebras
3. C. Dong and C. Jiang: A Characterization of the vertex operator algebra V
4. H. Yamauchi: Extended Griess algebras and Matsuo
Norton trace formulae
5. M.R. Gaberdiel and R. Volpato: Mathieu Moonshine and Orbifold K3s
6. M.C.N. Cheng and J.F.R. Duncan: Rademacher Sums and Rademacher Series
7. G. Mason and M.P. Tuite: Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II
8. A. Zuevsky: Twisted correlation functions
ISBN:9783662438312
Series:eBooks
Series:SpringerLink
Series:Contributions in Mathematical and Computational Sciences, 2191-303X : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Number theory , Mathematical physics
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Call number:SPRINGER-2014-9783662434048:ONLINE Show nearby items on shelf
Title:Optimization and Control Techniques and Applications [electronic resource]
Author(s): Honglei Xu
Kok Lay Teo
Yi Zhang
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book presents advances in state-of-the-art solution methods and their applications to real life practical problems in optimization, control and operations research. Contributions from world-class experts in the field arecollated here in two part s, dealing first with optimization and control theory and then with techniques and applications. Topics covered in the first part include control theory on infinite dimensional Banach spaces, history-dependentinclusion and linear programming complexity th eory. Chapters also explore the use of approximations of Hamilton-Jacobi-Bellman inequality for solving periodic optimization problems and look at multi-objective semi-infinite optimizationproblems, and production planning problems. In the second part, th e authors address techniques and applications of optimization and control in a variety of disciplines, such as chaos synchronization, facial expression recognition anddynamic input-output economic models. Other applications considered here include image r etrieval, natural earth satellites orbital transfers, snap-back repellers, and modern logistic systems. Readers will learn of advances inoptimization, control, and operations research, as well as potential new avenues of research and development. The book will appeal to scientific researchers, mathematicians and all specialists interested in the latest advances inoptimization and control.
Contents:Part I: Optimization and Control Theory
Chapter 1. Some Recent Developments in Systems and Control Theory on Infinite Dimensional Banach Spaces
Chapter 2. Some Recent Developments in Systems and Control Theory on Infinite Dimensional Banach Spaces
Chapter 3. A Class of History
dependent Inclusions with Applications to Contact Problems
Chapter 4. On the Number of Solutions Generated by the Simplex Method for LP
Chapter 5. Use of Approximations of Hamilton
Jacobi
Bellman Inequality for Solving Periodic Optimization Problems
Chapter 6. On Proper Efficiency in Multi objective Sem
ISBN:9783662434048
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v86
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory , Mathematical optimization , Operations research
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Call number:SPRINGER-2014-9783642545931:ONLINE Show nearby items on shelf
Title:Neural Fields [electronic resource] : Theory and Applications
Author(s): Stephen Coombes
Peter beim Graben
Roland Potthast
James Wright
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:With this book, the editors present the first comprehensive collection in neural field studies, authored by leading scientists in the field - among them are two of the founding-fathers of neural field theory. Up to now, researchresults in the field h ave been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. Starting with a tutorial for novices in neural field studies, thebook comprises chapters on emergent pattern s, their phase transitions and evolution, on stochastic approaches, cortical development, cognition, robotics and computation, large-scale numerical simulations, the coupling of neural fieldsto the electroencephalogram and phase transitions in anesthesia. The intended readership are students and scientists in applied mathematics, theoretical physics, theoretical biology, and computational neuroscience. Neural field theoryand its applications have a long-standing tradition in the mathematical and computati onal neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan,Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Bressloff, Haken, and Wright. Since then, much progress has been made in both, the development of mathematical andnumerical techniques, and in physiological refinement and understanding. In contrast to large-scale neural network models desc ribed by huge connectivity matrices that are computationally expensive in numerical simulations, neural fieldmodels described by connectivity kernels allow for analytical treatment by means of functional analysis methods. Thus, a number of rigorous result s on the existence of bump and wave solutions or on inverse kernel construction problemsare nowadays available. Moreover, neural fields provide an important interface for the coupling of continuous neur
Contents:Preface
1.Tutorial on Neural Field Theory. S. Coombes, P. beim Graben and R. Potthast
Part I Theory of Neural Fields
2.A Personal Account of the Development of the Field Theory of Large
Scale Brain Activity from 1945 Onward. J. Cowan
3.HeavisideWorld: Excitation and Self
Organization of Neural Fields. Shun
ichi Amari
4.Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation. G.B. Ermentrout, S.E. Folias and Z.P. Kilpatrick
5.PDE Methods for Two
Dimensional Neural Fields. C.R. Laing
6.Numerical Simulation Scheme of One
and Two Dimensional Neural Fields Inv
ISBN:9783642545931
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Integral equations , Consciousness
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Call number:SPRINGER-2014-9783642542718:ONLINE Show nearby items on shelf
Title:From Particle Systems to Partial Differential Equations [electronic resource] : Particle Systems and PDEs, Braga, Portugal, December 2012
Author(s): Cdric Bernardin
Patricia Gonalves
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations I, which took place at the Centre of Mathematics of the University of Minho, Braga, Portugal, from the 5th tothe 7th of December, 2 012. The purpose of the conference was to bring together world leaders to discuss their topics of expertise and to present some of their latest research developments in those fields. Among the participants wereresearchers in probability, partial different ial equations and kinetics theory. The aim of the meeting was to present to a varied public the subject of interacting particle systems, its motivation from the viewpoint of physics and itsrelation with partial differential equations or kinetics theory, a nd to stimulate discussions and possibly new collaborations among researchers with different backgrounds. The book contains lecture notes written by Franois Golse onthe derivation of hydrodynamic equations (compressible and incompressible Euler and Navier -Stokes) from the Boltzmann equation, and several short papers written by some of the participants in the conference. Among the topics covered bythe short papers are hydrodynamic limits fluctuations phase transitions motions of shocks and antishocks in ex clusion processes large number asymptotics for systems with self-consistent coupling quasi-variational inequalities
Contents:Mini
Course: Fluid dynamic Limits of the Kinetic theory of gases : F. Golse
Short Papers: Stationary quasivariational inequalities with gradient constraint and nonhomogeneous boundary conditions:A. Azevedo, F. Miranda, and L. Santos
Shocks and antishocks in the ASEP conditioned on a low current: V. Belitsky and G.M. Schtz
Superdiffusion of energy in Hamiltonian systems perturbed by a conservative noise: C. Bernardin
Equilibrium fluctuations of additive functionals of zero
range models: C. Bernardin, P. Gonalves, and S. Sethuraman
A survey on Bogoliubov generating functiona
ISBN:9783642542718
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v75
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential equations, partial , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783642540752:ONLINE Show nearby items on shelf
Title:Upper and Lower Bounds for Stochastic Processes [electronic resource] : Modern Methods and Classical Problems
Author(s): Michel Talagrand
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:The book develops modern methods and in particular the generic chaining to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given tostable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete solution of a number of classical problems is given incomplete detail, and an ambitious program for future re search is laid out
Contents:0. Introduction
1. Philosophy and Overview of the Book
2. Gaussian Processes and the Generic Chaining
3. Random Fourier Series and Trigonometric Sums, I
4. Matching Theorems I
5. Bernouilli Processes
6. Trees and the Art of Lower Bounds
7. Random Fourier Series and Trigonometric Sums, II
8. Processes Related to Gaussian Processes
9. Theory and Practice of Empirical Processes
10. Partition Scheme for Families of Distances
11. Infinitely Divisible Processes
12. The Fundamental Conjectures
13. Convergence of Orthogonal Series Majorizing Measures
14. Matc
ISBN:9783642540752
Series:eBooks
Series:SpringerLink
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 : v60
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783642540639:ONLINE Show nearby items on shelf
Title:Optical Coatings [electronic resource] : Material Aspects in Theory and Practice
Author(s): Olaf Stenzel
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Optical coatings, i.e. multilayer stacks composed from a certain number of thin individual layers, are an essential part of any optical system necessary to tailor the properties of the optical surfaces. Hereby, the performance ofany optical coating i s defined by a well-balanced interplay between the properties of the individual coating materials and the geometrical parameters (such as film thickness) which define their arrangement. In all scientific booksdealing with the performance of optical coatin gs, the main focus is on optimizing the geometrical coating parameters, particularly the number of individual layers and their thickness. At the same time, much less attention is paid toanother degree of freedom in coating design, namely the possibility t o tailor optical material properties to an optimum relevant for the required specification. This book, on the contrary, concentrates on the material aside of theproblem. After a comprehensive review of the basics of thin film theory, traditional optical c oating material properties and their relation to the efficiency of coating design methods, emphasis is placed on novel results concerning theapplication of material mixtures and nanostructured coatings in optical coating theory and practice, including por ous layers, dielectric mixtures as well as metal island films for different applications
Contents:Basics
Experimental determination of thin film optical constants
Remarks on available coating materials
Material aspects of coating design (incl. computational manufacturing)
High index oxide materials: Porous versus dense coatings
Strongly porous low index materials
Dielectric mixtures as coating materials (including applications in graded index coatings)
Mixtures with metal inclusions
Examples on coatings with a periodic surface structure
Concluding remarks
ISBN:9783642540639
Series:eBooks
Series:SpringerLink
Series:Springer Series in Surface Sciences, 0931-5195 : v54
Series:Physics and Astronomy (Springer-11651)
Keywords: Microwaves , Optical materials , Surfaces (Physics)
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Call number:SPRINGER-2014-9783642452246:ONLINE Show nearby items on shelf
Title:Polarization Bremsstrahlung [electronic resource]
Author(s): Andrey V Korol
Andrey V Solov'yov
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book introduces and reviews both theory and applications of polarizational bremsstrahlung, i.e. the electromagnetic radiation emitted during collisions of charged particles with structured, thus polarizable targets, such asatoms, molecules and c lusters. The subject, following the first experimental evidence a few decades ago, has gained importance through a number of modern applications. Thus, the study of several radiative mechanisms is expected tolead to the design of novel light sources, ope rating in various parts of the electromagnetic spectrum. Conversely, the analysis of the spectral and angular distribution of the photon emission constitutes a new tool for extractinginformation on the interaction of the colliding particles, and on their internal structure and dynamical properties. Last but not least, accurate quantitative descriptions of the photon emission processes determine the radiativeenergy losses of particles in various media, thereby providing essential information required for e.g. plasma diagnostics as well as astrophysical and medical applications (such as radiation therapy). This book primarilyaddresses graduate students and researchers with a background in atomic, molecular, optical or plasma physics, but will also be of b enefit to anyone wishing to enter the field.
Contents:Introduction
Bremsstrahlung in Collisions of Structureless Charged Particles with Atoms and Ions
Polarizational Bremsstrahlung in Collisions With Hydrogen Atom
Cross Section of PBrS From Many
Electron Atoms and Ions
PBrS in Non
Relativistic Collisions of Structural Particles with Atoms and Ions
Relativistic Effects in the Polarizational BrS Process
PBrS From Atomic Clusters and Fullerences
Conclusion
References
ISBN:9783642452246
Series:eBooks
Series:SpringerLink
Series:Springer Series on Atomic, Optical, and Plasma Physics, 1615-5653 : v80
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic
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Call number:SPRINGER-2014-9783642395246:ONLINE Show nearby items on shelf
Title:Modeling and Simulation [electronic resource] : An Application-Oriented Introduction
Author(s): Hans-Joachim Bungartz
Stefan Zimmer
Martin Buchholz
Dirk Pflger
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book provides an introduction to mathematical and computer-oriented modeling and to simulation as a universal methodology. It therefore addresses various model classes and their derivations. And it demonstrates the diversityof approaches that ca n be taken: be it discrete or continuous, deterministic or stochastic. A common underlying theme throughout the book are the means in which one obtains practical simulation results from these different abstractmodels. Subsequent to a brief review of the mathematical tools that are required, the concept of the simulation pipeline, from model derivation to the simulation, is applied to 14 example scenarios from diverse fields such asGame theory - deciding - planning, Traffic on highways and data highways, Dynamical systems and Physics in the computer. Whether it is game theory or mathematical finance, traffic or control theory, populationdynamics or chaos, or molecular dynamics, continuum mechanics or computer graphics - the reader gains insight into the world of simulation in a descriptive yet systematic way
Contents:1 Introduction
2 The necessary instruments in brief
Part I Playing deciding planning: A modeling warm
up
3 Game theory
4 Group decisions
5 Schedules
6 Wiener processes
Part II Traffic on highways and data highways: A trip through the simulation pipeline
7 Macroscopic simulation of traffic
8 Microscopic simulation of traffic
9 Stochastic traffic simulations
Part III Dynamic systems: Cause, effect and interaction
10 Population dynamics
11 Controllers
12 Chaos theory
Part IV Physics on the computer: The switch to number crunchers
13 Molecula
ISBN:9783642395246
Series:eBooks
Series:SpringerLink
Series:Springer Undergraduate Texts in Mathematics and Technology, 1867-5506
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation , Computer science Mathematics , Computer science
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Call number:SPRINGER-2014-9783642368509:ONLINE Show nearby items on shelf
Title:Basics of Modern Mathematical Statistics [electronic resource] : Exercises and Solutions
Author(s): Wolfgang Karl Hrdle
Vladimir Spokoiny
Vladimir Panov
Weining Wang
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:The complexity of todays statistical data calls for modern mathematical tools. Many fields of science make use of mathematical statistics and require continuous updating on statistical technologies. Practice makes perfect,since mastering the tools ma kes them applicable. Our book of exercises and solutions offers a wide range of applications and numerical solutions based on R. In modern mathematical statistics, the purpose is to provide statisticsstudents with a number of basic exercises and also an u nderstanding of how the theory can be applied to real-world problems. The application aspect is also quite important, as most previous exercise books are mostly on theoreticalderivations. Also we add some problems from topics often encountered in recent r esearch papers. The book was written for statistics students with one or two years of coursework in mathematical statistics and probability, professors whohold courses in mathematical statistics, and researchers in other fields who would like to do some e xercises on math statistics
Contents:Basics
Parameter Estimation for an i.i.d. Model
Parameter Estimation for a Regression Model
Estimation in Linear Models
Bayes Estimation
Testing a Statistical Hypothesis
Testing in Linear Models
Some Other Testing Methods.
ISBN:9783642368509
Series:eBooks
Series:SpringerLink
Series:Springer Texts in Statistics, 1431-875X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics , Economics Statistics
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Call number:SPRINGER-2014-9783319081533:ONLINE Show nearby items on shelf
Title:Algebraic K-theory of Crystallographic Groups [electronic resource] : The Three-Dimensional Splitting Case
Author(s): Daniel Scott Farley
Ivonne Johanna Ortiz
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives apowerful method for comput ing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class ofthree-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifyingspaces. Later chapters assemble the techniques that are needed to apply the i somorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphismconjecture, and a contribution to the growing literature in the field
ISBN:9783319081533
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2113
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , K-theory , Cell aggregation Mathematics
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Call number:SPRINGER-2014-9783319079653:ONLINE Show nearby items on shelf
Title:Problems from the Discrete to the Continuous [electronic resource] : Probability, Number Theory, Graph Theory, and Combinatorics
Author(s): Ross G Pinsky
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number ofspecific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a mlange of topics from combinatorial probability theory, number theory, random graph theory andcombinatorics. The problems in this book involve the asymp totic analysis of a discrete construct as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makesa modest attempt at bridging disciplines. The problems were selected with an e ye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students presentthe lectures
Contents:Partitions With Restricted Summands or The Money Changing Problem
The Asymptotic Density of Relatively Prime Pairs and of Square
Free Numbers
A One
Dimensional Probabilistic Packing Problem
The Arcsine Laws for the One
Dimensional Simple Symmetric Random Walk
The Distribution of Cycles in Random Permutations
Chebyshev's Theorem on the Asymptotic Density of the Primes
Mertens' Theorems on the Asymptotic Behavior of the Primes
The Hardy
Ramanujan Theorem on the Number of Distinct Prime Divisors
The Largest Clique in a Random Graph and Applications to Tampering Detection
ISBN:9783319079653
Series:eBooks
Series:SpringerLink
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics , Number theory , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319077284:ONLINE Show nearby items on shelf
Title:The Influence of Demographic Stochasticity on Population Dynamics [electronic resource] : A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns
Author(s): Tommaso Biancalani
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The dynamics of population systems cannot be understood within the framework of ordinary differential equations, which assume that the number of interacting agents is infinite. With recent advances in ecology, biochemistry andgenetics it is becoming increasingly clear that real systems are in fact subject to a great deal of noise. Relevant examples include social insects competing for resources, molecules undergoing chemical reactions in a cell and a poolof genomes subject to evolution.When the popul ation size is small, novel macroscopic phenomena can arise, which can be analyzed using the theory of stochastic processes. This thesis is centered on two unsolved problems in populationdynamics: the symmetry breaking observed in foraging populations, and the robustness of spatial patterns. We argue that these problems can be resolved with the help of two novel concepts: noise-induced bistable states and stochasticpatterns
ISBN:9783319077284
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Ecology , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319075457:ONLINE Show nearby items on shelf
Title:Algebraic Number Theory [electronic resource]
Author(s): Frazer Jarvis
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The technical difficulties of algebraic number theory often make this subject appear difficult to beginners. This undergraduate textbook provides a welcome solution to these problems as it provides an approachable and thoroughintroduction to the topi c. Algebraic Number Theory takes the reader from unique factorisation in the integers through to the modern-day number field sieve. The first few chapters consider the importance of arithmetic in fields largerthan the rational numbers. Whilst some results generalise well, the unique factorisation of the integers in these more general number fields often fail. Algebraic number theory aims to overcome this problem. Most examples are takenfrom quadratic fields, for which calculations are easy to perform. The middle section considers more general theory and results for number fields, and the book concludes with some topics which are more likely to be suitable foradvanced students, namely, the analytic class number formula and the number field sieve. This is t he first time that the number field sieve has been considered in a textbook at this level
Contents:Unique factorisation in the natural numbers
Number fields
Fields, discriminants and integral bases
Ideals
Prime ideals and unique factorisation
Imaginary quadratic fields
Lattices and geometrical methods
Other fields of small degree
Cyclotomic fields and the Fermat equation
Analytic methods
The number field sieve
ISBN:9783319075457
Series:eBooks
Series:SpringerLink
Series:Springer Undergraduate Mathematics Series, 1615-2085
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Field theory (Physics) , Number theory
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Call number:SPRINGER-2014-9783319071367:ONLINE Show nearby items on shelf
Title:Measurement of the Inclusive Electron Cross-Section from Heavy-Flavour Decays and Search for Compressed Supersymmetric Scenarios with the ATLAS Experiment [electronic resource]
Author(s): Moritz Backes
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The first part of this thesis presents the measurement of the inclusive cross-section for electron production from heavy-flavour decays in the electron transverse momentum range 7 GeV < pT < 26 GeV using 1.3 pb1 of 7 TeVproton-proton collision data c ollected by the ATLAS experiment at the Large Hadron Collider in 2010. The measured value of the cross-section within the fiducial range of the analysis is _e^HF = 0.946 0.020(stat.) 0.146(syst.) 0.032(lumi.) b. Theoretical predictions are in good agree ment with the measurement. The second part of this thesis is a search for compressed supersymmetric scenarios in events with missing transverse energy, jets, and oneisolated low-pT lepton in the final state using 4.7 fb-1 of ATLAS data collected at 7 TeV center-of-mass energy in 2011. No significant excess of events over the Standard Model expectation is observed and exclusion limits are derivedfor a number of supersymmetric models
Contents:Theoretical Background
Experimental Setup
Data Acquisition and Data Processing
Measurement of the Inclusive Electron Cross
Section from Heavy
Flavour Decays with 2010 Data
Search for Compressed Supersymmetry with 2011 Data
ISBN:9783319071367
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2014-9783319067612:ONLINE Show nearby items on shelf
Title:Relativity and Gravitation [electronic resource] : 100 Years after Einstein in Prague
Author(s): Ji Bik
Tom Ledvinka
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem ofgravitation. Before he l eft Prague in July 1912 he had submitted the paper Relativitt und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham in which he remarkably anticipated what a future theory of gravity should looklike. At the occasion of the Einstein-in-Prague cente nary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: Relativity and Gravitation, 100 Years after Einstein inPrague. The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation, and conceptual and historical issues. Theconference attracted over 200 scientists from 31 countries, among them a number of leading experts in the f ield of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts ofcontributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors . Full texts of the plenary talks are included in the volume General Relativity, Cosmology andAstrophysics--Perspectives 100 Years after Einstein in Prague, eds. J. Bik and T. Ledvinka, published also by Springer Verlag
Contents:Abstracts of Plenary Talks
Part I Classical General Relativity
Exact Hairy Black Holes
Black Hole Formation from a Complete Past for the Einstein
Vlasov System
How to Measure Deviation from the Kerr Initial Data Recent Progress
Hidden Symmetries of the Dirac Equation in Curved Space
time
Geometrostatics: the Geometry of Static Space
times
The Gravitational Equation in Higher Dimensions
Geometric Inequalities for Black Holes
Scalar Fields on anti
de Sitter Background
Canonical Super energy Tensors in General Relativity: a Reappraisal
Einsteins Prague F
ISBN:9783319067612
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Physics, 0930-8989 : v157
Series:Physics and Astronomy (Springer-11651)
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Call number:SPRINGER-2014-9783319062099:ONLINE Show nearby items on shelf
Title:From Real to Complex Analysis [electronic resource]
Author(s): R. H Dyer
D. E Edmunds
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The purpose of this book is to provide an integrated course in real and complex analysis for those who have already taken a preliminary course in real analysis. It particularly emphasises the interplay between analysis andtopology. Beginning with the theory of the Riemann integral (and its improper extension) on the real line, the fundamentals of metric spaces are then developed, with special attention being paid to connectedness, simple connectednessand various forms of homotopy. The final chapter d evelops the theory of complex analysis, in which emphasis is placed on the argument, the winding number, and a general (homology) version of Cauchy's theorem which is proved using theapproach due to Dixon. Special features are the inclusion of proofs of M ontel's theorem, the Riemann mapping theorem and the Jordan curve theorem that arise naturally from the earlier development. Extensive exercises are included ineach of the chapters, detailed solutions of the majority of which are given at the end. From Re al to Complex Analysis is aimed at senior undergraduates and beginning graduate students in mathematics. It offers a sound grounding inanalysis in particular, it gives a solid base in complex analysis from which progress to more advanced topics may be mad e
Contents:The Riemann integral
Metric spaces
Complex Analysis
Sets and functions
ISBN:9783319062099
Series:eBooks
Series:SpringerLink
Series:Springer Undergraduate Mathematics Series, 1615-2085
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions of complex variables
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Call number:SPRINGER-2014-9783319057538:ONLINE Show nearby items on shelf
Title:Probing Correlated Quantum Many-Body Systems at the Single-Particle Level [electronic resource]
Author(s): Manuel Endres
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:How much knowledge can we gain about a physical system and to what degree can we control it? In quantum optical systems, such as ion traps or neutral atoms in cavities, single particles and their correlations can now be probed ina way that is fundame ntally limited only by the laws of quantum mechanics. In contrast, quantum many-body systems pose entirely new challenges due to the enormous number of microscopic parameters and their small length- and shorttime-scales. This thesis describes a new approa ch to probing quantum many-body systems at the level of individual particles: Using high-resolution, single-particle-resolved imaging and manipulation of strongly correlated atoms, singleatoms can be detected and manipulated due to the large length and ti me-scales and the precise control of internal degrees of freedom. Such techniques lay stepping stones for the experimental exploration of new quantum many-bodyphenomena and applications thereof, such as quantum simulation and quantum information, through the design of systems at the microscopic scale and the measurement of previously inaccessible observables
Contents:Introduction
Superfluid
Mott
insulator transition
Overview of the experimental procedure
Single
site
resolved imaging and thermometry of atomic limit Mott insulators
Detection of particle
hole pairs using two
site correlation functions
Non
local correlations in one dimension
Non
local correlations in two dimensions, duality and distribution functions
Introduction to amplitude and phase modes
Detection of the Higgs amplitude mode at the 2d SF
Mott
insulator transition
ISBN:9783319057538
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2014-9783319057231:ONLINE Show nearby items on shelf
Title:Invariant Probabilities of Transition Functions [electronic resource]
Author(s): Radu Zaharopol
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transitionfunctions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated usingtransition functions defined by flows, semiflows, a nd one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 areextended to transition functions. The proofs of the results obtained are new. For transition functions that satisfy very general conditions the book describes an ergodic decomposition that provides relevant information on the structureof the corresponding set of invariant probabilities. Ergodic decomposition means a splitting of the state space, where the invariant ergodic probability measures play a significant role. Other topics covered include: characterizationsof the supports of various types of invariant probability measures and the use of these to obtain criteria for un ique ergodicity, and the proofs of two mean ergodic theorems for a certain type of transition functions. The book will beof interest to mathematicians working in ergodic theory, dynamical systems, or the theory of Markov processes. Biologists, physicists and economists interested in interacting particle systems and rigorous mathematics will also findthis book a valuable resource. Parts of it are suitable for advanced graduate courses. Prerequisites are basic notions and results on functional analysis, gen eral topology, measure theory, the Bochner integral and some of itsapplications
Contents:Introduction
1.Transition Probabilities
2.Transition Functions
3.Vector Integrals and A.E. Convergence
4.Special Topics
5.The KBBY Ergodic Decomposition, Part I
6.The KBBY Ergodic Decomposition, Part II
7.Feller Transition Functions
Appendices: A.Semiflows and Flows: Introduction
B.Measures and Convolutions
Bibliography
Index
ISBN:9783319057231
Series:eBooks
Series:SpringerLink
Series:Probability and Its Applications, 1431-7028
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Operator theory , Potential theory (Mathematics) , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319056548:ONLINE Show nearby items on shelf
Title:A Readable Introduction to Real Mathematics [electronic resource]
Author(s): Daniel Rosenthal
David Rosenthal
Peter Rosenthal
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach areal understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and toother subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic highschool algebra some trigonometry is needed for Chapters 9 and 12. Topics covered include: * mathematical induction * modular arithmetic * the fundamental theorem of arithmetic * Fermat's little theorem * RSA encryption * the Euclideanalgorithm * rational and irrational numbers * complex numbers * cardinality * Euclidea n plane geometry * constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass) This textbookis suitable for a wide variety of courses and for a broad range of students in the fields of education, li beral arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able tofurther their understanding of mathematical thinking by reading this book
Contents:1. Introduction to the Natural Numbers
2. Mathematical Induction
3. Modular Arithmetic
4. The Fundamental Theorem of Arithmetic
5. Fermat's Theorem and Wilson's Theorem
6. Sending and Receiving Coded Messages
7. The Euclidean Algorithm and Applications
8. Rational Numbers and Irrational Numbers
9. The Complex Numbers
10. Sizes of Infinite Sets
11. Fundamentals of Euclidean Plane Geometry
12. Constructability
ISBN:9783319056548
Series:eBooks
Series:SpringerLink
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry , Number theory
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Call number:SPRINGER-2014-9783319055916:ONLINE Show nearby items on shelf
Title:Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems [electronic resource] : FVCA 7, Berlin, June 2014
Author(s): Jrgen Fuhrmann
Mario Ohlberger
Christian Rohde
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The methods considered in the 7th conference on Finite Volumes for Complex Applications (Berlin, June 2014) have properties which offer distinct advantages for a number of applications. The second volume of the proceedingscovers reviewed contribution s reporting successful applications in the fields of fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its variousforms is a space discretization technique for pa rtial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method.Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methodsbelong to the wider class of compatible discretization methods, which preserve qualitative prop erties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equationsbecomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students i n numerical analysis, scientific computing and related fields such as partial differential equations will findthis volume useful, as will engineers working in numerical modeling and simulations
ISBN:9783319055916
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v78
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation , Differential equations, partial , Numerical analysis
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