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Introductory Mathematics Algebra And Analysis

Author : Geoffrey C. Smith
ISBN : 9781447106197
Genre : Mathematics
File Size : 54. 1 MB
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This text provides a lively introduction to pure mathematics. It begins with sets, functions and relations, proof by induction and contradiction, complex numbers, vectors and matrices, and provides a brief introduction to group theory. It moves onto analysis, providing a gentle introduction to epsilon-delta technology and finishes with continuity and functions. The book features numerous exercises of varying difficulty throughout the text.

Samuel Johnson Of Yorubaland 1846 1901

Author : Kehinde Olabimtan
ISBN : 3034308094
File Size : 40. 50 MB
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This study aims to understand how the nineteenth-century African agent of mission appropriated change without losing cultural integrity. Drawing essentially from the contexts that produced the man, from Sierra Leone to the Yoruba country, the study shows Samuel Johnson as embodying the opportunities and ambivalence that progressively accompanied Yoruba contact with Britain in the people's war-weary century of change. Largely influenced by German missionaries in the British mission environment of Yorubaland, Johnson had confidence in the bright prospect the missionary message held for his people. This propelled him into a struggle to relieve the distressed country from its woes and to preserve the fading memory of its people. In an age of renewed cultural ferment called globalization, could Johnson offer a lesson in how to appropriate change? This is the concern of this volume.

Complex Manifolds And Deformation Of Complex Structures

Author : K. Kodaira
ISBN : 9781461385905
Genre : Mathematics
File Size : 71. 42 MB
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Degeneration Of Abelian Varieties

Author : Gerd Faltings
ISBN : 9783662026328
Genre : Mathematics
File Size : 82. 5 MB
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A new and complete treatment of semi-abelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Siegel moduli space, with most of the results being published for the first time. Highlights of the book include a classification of semi-abelian schemes, construction of the toroidal and the minimal compactification over the integers, heights for abelian varieties over number fields, and Eichler integrals in several variables, together with a new approach to Siegel modular forms. A valuable source of reference for researchers and graduate students interested in algebraic geometry, Shimura varieties or diophantine geometry.

Tradition And Tradition Theories

Author : Thorsten Larbig
ISBN : 3825851834
Genre : Social Science
File Size : 89. 42 MB
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recently," raised="" broad="" intensive="" attention="" different="" areas="" scholarship.="" especially="" true="" with="" reference="" two="" important="" theoretical="" practical="" questions:="" traditions="" modern="" how="" do="" work="" develop="" context="" globalization="" when="" they="" are="" forced="" meet="" each="" other="" radical="" new="" main="" goal="" volume="" is="" present="" representative="" survey="" the="" discussion="" on="" a="" theory="" cultural="" religious="" in="" order="" stimulate="" interdisciplinary="" international="" collaboration.="" representatives="" of="" all="" relevant="" disciplines="" and="" approaches="" have="" contributed="" to="" this="" volume.="">

Capacity Theory On Algebraic Curves

Author : Robert S. Rumely
ISBN : 9783540462095
Genre : Mathematics
File Size : 44. 53 MB
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Capacity is a measure of size for sets, with diverse applications in potential theory, probability and number theory. This book lays foundations for a theory of capacity for adelic sets on algebraic curves. Its main result is an arithmetic one, a generalization of a theorem of Fekete and Szegö which gives a sharp existence/finiteness criterion for algebraic points whose conjugates lie near a specified set on a curve. The book brings out a deep connection between the classical Green's functions of analysis and Néron's local height pairings; it also points to an interpretation of capacity as a kind of intersection index in the framework of Arakelov Theory. It is a research monograph and will primarily be of interest to number theorists and algebraic geometers; because of applications of the theory, it may also be of interest to logicians. The theory presented generalizes one due to David Cantor for the projective line. As with most adelic theories, it has a local and a global part. Let /K be a smooth, complete curve over a global field; let Kv denote the algebraic closure of any completion of K. The book first develops capacity theory over local fields, defining analogues of the classical logarithmic capacity and Green's functions for sets in (Kv). It then develops a global theory, defining the capacity of a galois-stable set in (Kv) relative to an effictive global algebraic divisor. The main technical result is the construction of global algebraic functions whose logarithms closely approximate Green's functions at all places of K. These functions are used in proving the generalized Fekete-Szegö theorem; because of their mapping properties, they may be expected to have other applications as well.

Brownian Agents And Active Particles

Author : Frank Schweitzer
ISBN : 9783540738459
Genre : Computers
File Size : 58. 48 MB
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This book lays out a vision for a coherent framework for understanding complex systems. By developing the genuine idea of Brownian agents, the author combines concepts from informatics, such as multiagent systems, with approaches of statistical many-particle physics. It demonstrates that Brownian agent models can be successfully applied in many different contexts, ranging from physicochemical pattern formation to swarming in biological systems.

Numerical Solution Of Sde Through Computer Experiments

Author : Peter Eris Kloeden
ISBN : 9783642579134
Genre : Mathematics
File Size : 89. 4 MB
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This book provides an easily accessible, computationally-oriented introduction into the numerical solution of stochastic differential equations using computer experiments. It develops in the reader an ability to apply numerical methods solving stochastic differential equations. It also creates an intuitive understanding of the necessary theoretical background. Software containing programs for over 100 problems is available online.

The Strange Logic Of Random Graphs

Author : Joel Spencer
ISBN : 9783662045381
Genre : Mathematics
File Size : 57. 25 MB
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The study of random graphs was begun in the 1960s and now has a comprehensive literature. This excellent book by one of the top researchers in the field now joins the study of random graphs (and other random discrete objects) with mathematical logic. The methodologies involve probability, discrete structures and logic, with an emphasis on discrete structures.

The Dynamical System Generated By The 3n 1 Function

Author : Günther J. Wirsching
ISBN : 9783540696773
Genre : Mathematics
File Size : 70. 40 MB
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The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatorics, asymptotic analysis, and abstract measure theory. The book is written for any mathematician interested in the 3n+1 problem, and in the wealth of mathematical ideas employed to attack it.

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