Tags
Language
Tags
July 2025
Su Mo Tu We Th Fr Sa
29 30 1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31 1 2
    Attention❗ To save your time, in order to download anything on this site, you must be registered 👉 HERE. If you do not have a registration yet, it is better to do it right away. ✌

    ( • )( • ) ( ͡⚆ ͜ʖ ͡⚆ ) (‿ˠ‿)
    SpicyMags.xyz

    Number Theory and Geometry through History

    Posted By: yoyoloit
    Number Theory and Geometry through History

    Number Theory and Geometry through History
    by Chahal, Jasbir S.

    English | 2025 | ISBN: 1041010168 | 222 pages | True PDF EPUB | 17.69 MB

    Model Theory and Algebraic Geometry

    Posted By: AvaxGenius
    Model Theory and Algebraic Geometry

    Model Theory and Algebraic Geometry by Elisabeth Bouscaren
    English | PDF | 1998 | 223 Pages | ISBN : 3540648631 | 12.1 MB

    Introduction Model theorists have often joked in recent years that the part of mathemat­ ical logic known as "pure model theory" (or stability theory), as opposed to the older and more traditional "model theory applied to algebra" , turns out to have more and more to do with other subjects ofmathematics and to yield gen­ uine applications to combinatorial geometry, differential algebra and algebraic geometry. We illustrate this by presenting the very striking application to diophantine geometry due to Ehud Hrushovski: using model theory, he has given the first proof valid in all characteristics of the "Mordell-Lang conjecture for function fields" (The Mordell-Lang conjecture for function fields, Journal AMS 9 (1996), 667-690). More recently he has also given a new (model theoretic) proof of the Manin-Mumford conjecture for semi-abelian varieties over a number field. His proofyields the first effective bound for the cardinality ofthe finite sets involved (The Manin-Mumford conjecture, preprint). There have been previous instances of applications of model theory to alge­ bra or number theory, but these appl~cations had in common the feature that their proofs used a lot of algebra (or number theory) but only very basic tools and results from the model theory side: compactness, first-order definability, elementary equivalence…

    Proof Theory: An Introduction

    Posted By: AvaxGenius
    Proof Theory: An Introduction

    Proof Theory: An Introduction by Wolfram Pohlers
    English | PDF | 1989 | 220 Pages | ISBN : 3540518428 | 9.4 MB

    Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level. The heart of the book is the ordinal analysis of axiom systems, with particular emphasis on that of the impredicative theory of elementary inductive definitions on the natural numbers. The "constructive" consequences of ordinal analysis are sketched out in the epilogue. The book provides a self-contained treatment assuming no prior knowledge of proof theory and almost none of logic. The author has, moreover, endeavoured not to use the "cabal language" of proof theory, but only a language familiar to most readers.

    Problems and Proofs in Numbers and Algebra (Repost)

    Posted By: AvaxGenius
    Problems and Proofs in Numbers and Algebra (Repost)

    Problems and Proofs in Numbers and Algebra by Richard S. Millman , Peter J. Shiue , Eric Brendan Kahn
    English | PDF (True) | 2015 | 230 Pages | ISBN : 331914426X | 1.9 MB

    Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding, a large number of problems and examples will be interspersed through every chapter. The problems are always presented in a multi-step and often very challenging, requiring the reader to think about proofs, counter-examples, and conjectures. Beyond the undergraduate mathematics student audience, the text can also offer a rigorous treatment of mathematics content (numbers and algebra) for high-achieving high school students. Furthermore, prospective teachers will add to the breadth of the audience as math education majors, will understand more thoroughly methods of proof, and will add to the depth of their mathematical knowledge. In the past, PNA has been taught in a "problem solving in middle school” course (twice), to a quite advanced high school students course (three semesters), and three times as a secondary resource for a course for future high school teachers. PNA is suitable for secondary math teachers who look for material to encourage and motivate more high achieving students.

    Price Index Numbers: Theory and Application

    Posted By: hill0
    Price Index Numbers: Theory and Application

    Price Index Numbers: Theory and Application
    English | 2025 | ISBN: 9819763045 | 292 Pages | PDF EPUB (True) | 18 MB

    Proceedings of the fifth international conference on number theory and smarandache notions

    Posted By: step778
    Proceedings of the fifth international conference on number theory and smarandache notions

    editor Z. Wenpeng, "Proceedings of the fifth international conference on number theory and smarandache notions"
    English | 2009 | pages: 143 | ISBN: 159973088X | PDF | 5,6 mb

    Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms

    Posted By: AvaxGenius
    Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms

    Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms by Min Ho Lee
    English | PDF (True) | 244 Pages | ISBN : 3540219226 | 2.7 MB

    This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.

    Geometric Methods in the Algebraic Theory of Quadratic Forms

    Posted By: AvaxGenius
    Geometric Methods in the Algebraic Theory of Quadratic Forms

    Geometric Methods in the Algebraic Theory of Quadratic Forms: Summer School, Lens, 2000 by Oleg T. Izhboldin , Bruno Kahn , Nikita A. Karpenko , Alexander Vishik
    English | PDF (True) | 2004 | 198 Pages | ISBN : 3540207287 | 2.8 MB

    The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadrics have been central to the proofs of fundamental results since the 1960's. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems. Several aspects of these new methods are addressed in this volume, which includes an introduction to motives of quadrics by A. Vishik, with various applications, notably to the splitting patterns of quadratic forms, papers by O. Izhboldin and N. Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields with u-invariant 9, and a contribution in French by B. Kahn which lays out a general framework for the computation of the unramified cohomology groups of quadrics and other cellular varieties.

    Heegner Modules and Elliptic Curves

    Posted By: AvaxGenius
    Heegner Modules and Elliptic Curves

    Heegner Modules and Elliptic Curves by Martin L. Brown
    English | PDF (True) | 2004 | 523 Pages | ISBN : 3540222901 | 4.5 MB

    Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields, this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields.

    Rainbow Connections of Graphs

    Posted By: AvaxGenius
    Rainbow Connections of Graphs

    Rainbow Connections of Graphs by Xueliang Li , Yuefang Sun
    English | PDF (True) | 2012 | 108 Pages | ISBN : 1461431182 | 1.9 MB

    Rainbow connections are natural combinatorial measures that are used in applications to secure the transfer of classified information between agencies in communication networks. Rainbow Connections of Graphs covers this new and emerging topic in graph theory and brings together a majority of the results that deal with the concept of rainbow connections, first introduced by Chartrand et al. in 2006.

    Rigid Analytic Geometry and Its Applications

    Posted By: AvaxGenius
    Rigid Analytic Geometry and Its Applications

    Rigid Analytic Geometry and Its Applications by Jean Fresnel , Marius Put
    English | PDF (True) | 303 Pages | ISBN : 0817642064 | 32.7 MB

    Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," étale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, rich in examples and exercises, and will serve as an excellent graduate-level text for the classroom or for self-study.

    Galois Theory of Linear Differential Equations

    Posted By: AvaxGenius
    Galois Theory of Linear Differential Equations

    Galois Theory of Linear Differential Equations by Marius Put , Michael F. Singer
    English | PDF (True) | 2003 | 446 Pages | ISBN : 3540442286 | 3.9 MB

    Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.
    A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used.

    Perfect Lattices in Euclidean Spaces

    Posted By: AvaxGenius
    Perfect Lattices in Euclidean Spaces

    Perfect Lattices in Euclidean Spaces by Jacques Martinet
    English | PDF | 2003 | 535 Pages | ISBN : 3540442367 | 42.8 MB

    Lattices are discrete subgroups of maximal rank in a Euclidean space. To each such geometrical object, we can attach a canonical sphere packing which, assuming some regularity, has a density. The question of estimating the highest possible density of a sphere packing in a given dimension is a fascinating and difficult problem: the answer is known only up to dimension 3.

    Fourier Analysis and Convexity

    Posted By: AvaxGenius
    Fourier Analysis and Convexity

    Fourier Analysis and Convexity by Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini, Alex Iosevich
    English | PDF (True) | 2004 | 274 Pages | ISBN : 0817632638 | 21.9 MB

    Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitz’s proof of the isoperimetric inequality using Fourier series.

    Lumen Naturae: Visions of the Abstract in Art and Mathematics

    Posted By: arundhati
    Lumen Naturae: Visions of the Abstract in Art and Mathematics

    Matilde Marcolli, "Lumen Naturae: Visions of the Abstract in Art and Mathematics "
    English | ISBN: 0262043904 | 2020 | 400 pages | PDF | 34 MB