Higher Arithmetic, or, The Science and Application of Numbers
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![Canadian Commercial Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/7481/9781015327481m.webp "Canadian Commercial Arithmetic [microform]")
Canadian Commercial Arithmetic [microform]
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
![The Tutor's Assistant [microform]](https://cdn.kingstone.com.tw/english/images/product/8367/9781015238367.webp "The Tutor's Assistant [microform]")
The Tutor's Assistant [microform]
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![Arithmetic for Use in Colleges and Schools [microform]](https://cdn.kingstone.com.tw/english/images/product/9141/9781013579141m.webp "Arithmetic for Use in Colleges and Schools [microform]")
Arithmetic for Use in Colleges and Schools [microform]
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![Mental Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/5916/9781015155916m.webp "Mental Arithmetic [microform]")
Mental Arithmetic [microform]
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An Introduction to the Arithmetical Analysis
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![The Art of Ready Reckoning, or, Mental and Practical Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/8216/9781013848216m.webp "The Art of Ready Reckoning, or, Mental and Practical Arithmetic [microform]")
The Art of Ready Reckoning, or, Mental and Practical Arithmetic [microform]
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Supersingular P-Adic L-Functions, Maass-Shimura Operators and Waldspurger Formulas
A groundbreaking contribution to number theory that unifies classical and modern results This book develops a new theory of p-adic modular forms on modular curves, extending Katz's classical theory to the supersingular locus. The main novelty is to move to infinite level and extend coefficients to period sheaves coming from relative p-adic Hodge theory. This makes it possible to trivialize the Hodge bundle on the infinite-level modular curve by a "canonical differential" that restricts to the Katz canonical differential on the ordinary Igusa tower. Daniel Kriz defines generalized p-adic modular forms as sections of relative period sheaves transforming under the Galois group of the modular curve by weight characters. He introduces the fundamental de Rham period, measuring the position of the Hodge filtration in relative de Rham cohomology. This period can be viewed as a counterpart to Scholze's Hodge-Tate period, and the two periods satisfy a Legendre-type relation. Using these periods, Kriz constructs splittings of the Hodge filtration on the infinite-level modular curve, defining p-adic Maass-Shimura operators that act on generalized p-adic modular forms as weight-raising operators. Through analysis of the p-adic properties of these Maass-Shimura operators, he constructs new p-adic L-functions interpolating central critical Rankin-Selberg L-values, giving analogues of the p-adic L-functions of Katz, Bertolini-Darmon-Prasanna, and Liu-Zhang-Zhang for imaginary quadratic fields in which p is inert or ramified. These p-adic L-functions yield new p-adic Waldspurger formulas at special values.
Modular and Automorphic Forms & Beyond
The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the literature, such as those for congruence groups, Siegel and Hilbert modular forms, many types of automorphic forms on Hermitian symmetric domains, Calabi-Yau modular forms, with its examples such as Yukawa couplings and topological string partition functions, and even go beyond all these cases. Its main ingredient is the so-called "Gauss-Manin connection in disguise".
Quadrangular Algebras. (Mn-46)
This book introduces a new class of non-associative algebras related to certain exceptional algebraic groups and their associated buildings. Richard Weiss develops a theory of these "quadrangular algebras" that opens the first purely algebraic approach to the exceptional Moufang quadrangles. These quadrangles include both those that arise as the spherical buildings associated to groups of type E6, E7, and E8 as well as the exotic quadrangles "of type F4" discovered earlier by Weiss. Based on their relationship to exceptional algebraic groups, quadrangular algebras belong in a series together with alternative and Jordan division algebras. Formally, the notion of a quadrangular algebra is derived from the notion of a pseudo-quadratic space (introduced by Jacques Tits in the study of classical groups) over a quaternion division ring. This book contains the complete classification of quadrangular algebras starting from first principles. It also shows how this classification can be made to yield the classification of exceptional Moufang quadrangles as a consequence. The book closes with a chapter on isotopes and the structure group of a quadrangular algebra. Quadrangular Algebras is intended for graduate students of mathematics as well as specialists in buildings, exceptional algebraic groups, and related algebraic structures including Jordan algebras and the algebraic theory of quadratic forms.
Eric Ed035548
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![Advanced Arithmetic for Canadian Schools [microform]](https://cdn.kingstone.com.tw/english/images/product/5902/9781014445902m.webp "Advanced Arithmetic for Canadian Schools [microform]")
Advanced Arithmetic for Canadian Schools [microform]
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![A Modern Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/3758/9781014723758m.webp "A Modern Arithmetic [microform]")
A Modern Arithmetic [microform]
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New School Arithmetic
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![Answers and Solutions to Prize Problems in Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/8510/9781014938510.webp "Answers and Solutions to Prize Problems in Arithmetic [microform]")
Answers and Solutions to Prize Problems in Arithmetic [microform]
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Intermediate Problems in Arithmetic
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Some Famous Problems of the Theory of Numbers
G. H. Hardy (7 Feb 1877 - 1 Dec 1947) was an eccentric British mathematician who worked extensively in mathematical analysis and analytical number theory alongside J.E Littlewood. He is perhaps even better known for his adoption and mentoring of the self-taught Indian mathematical genius, Srinivasa Ramanujan. Hardy wanted his work to be referred to as pure mathematics rather than applied mathematics. In his view, mathematics was not something to be used in social destruction and to fulfill political purposes.
Teaching Arithmetic We Need; 8
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Real Number System
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Intermediate Problems in Arithmetic
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![Arithmetic Exercises for Second Book Classes [microform]](https://cdn.kingstone.com.tw/english/images/product/4499/9781013324499m.webp "Arithmetic Exercises for Second Book Classes [microform]")
Arithmetic Exercises for Second Book Classes [microform]
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![Underhill's New Table-book, or, Tables of Arithmetic Made Easier [microform]](https://cdn.kingstone.com.tw/english/images/product/4132/9781014604132m.webp "Underhill's New Table-book, or, Tables of Arithmetic Made Easier [microform]")
Underhill's New Table-book, or, Tables of Arithmetic Made Easier [microform]
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![A Concise Introduction to Practical Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/9085/9781014689085m.webp "A Concise Introduction to Practical Arithmetic [microform]")
A Concise Introduction to Practical Arithmetic [microform]
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Teaching Arithmetic We Need; 8
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Ray's New Higher Arithmetic
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Alberta Public School Arithmetic
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![Companion to the Public School Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/4055/9781014624055m.webp "Companion to the Public School Arithmetic [microform]")
Companion to the Public School Arithmetic [microform]
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Real Number System
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Arithmetical Examples
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![The New Method Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/5963/9781013775963m.webp "The New Method Arithmetic [microform]")
The New Method Arithmetic [microform]
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A Pictorial Primary Arithmetic
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![Elementary Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/6321/9781013746321m.webp "Elementary Arithmetic [microform]")
Elementary Arithmetic [microform]
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Arithmetical Examples
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![An Elementary Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/7786/9781013437786m.webp "An Elementary Arithmetic [microform]")
An Elementary Arithmetic [microform]
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![The New Method Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/5899/9781014965899m.webp "The New Method Arithmetic [microform]")
The New Method Arithmetic [microform]
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![The Public School Arithmetic and Mensuration [microform]](https://cdn.kingstone.com.tw/english/images/product/0098/9781013390098.webp "The Public School Arithmetic and Mensuration [microform]")
The Public School Arithmetic and Mensuration [microform]
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![Hints and Answers to Examination Papers in Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/2001/9781014742001m.webp "Hints and Answers to Examination Papers in Arithmetic [microform]")
Hints and Answers to Examination Papers in Arithmetic [microform]
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![Arithmetic for the Use of Schools [microform]](https://cdn.kingstone.com.tw/english/images/product/7276/9781013587276m.webp "Arithmetic for the Use of Schools [microform]")
Arithmetic for the Use of Schools [microform]
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
![Key to the Elementary Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/3527/9781014813527m.webp "Key to the Elementary Arithmetic [microform]")
Key to the Elementary Arithmetic [microform]
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
![Ontario High School Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/7674/9781014627674m.webp "Ontario High School Arithmetic [microform]")
Ontario High School Arithmetic [microform]
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Fundamental Concepts of Arithmetic
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
![National Arithmetic in Theory and Practice, Designed for the Use of Canadian Schools [microform]](https://cdn.kingstone.com.tw/english/images/product/9752/9781013959752m.webp "National Arithmetic in Theory and Practice, Designed for the Use of Canadian Schools [microform]")
National Arithmetic in Theory and Practice, Designed for the Use of Canadian Schools [microform]
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
![Practical Problems in Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/4581/9781014934581m.webp "Practical Problems in Arithmetic [microform]")
Practical Problems in Arithmetic [microform]
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
![Examination Papers in Elementary Arithmetic [microform]](https://cdn.kingstone.com.tw/english/images/product/2147/9781014132147.webp "Examination Papers in Elementary Arithmetic [microform]")
Examination Papers in Elementary Arithmetic [microform]
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Simplicial Partitions with Applications to the Finite Element Method
This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell's equations, Einstein's equations and magnetic and gravitational fields.These problems require the simulation of various phenomena and physical fields over complicated structures in three (and higher) dimensions. Since not all structures can be decomposed into simpler objects like d-dimensional rectangular blocks, simplicial partitions are important. In this book an emphasis is placed on angle conditions guaranteeing the convergence of the finite element method for elliptic PDEs with given boundary conditions. It is aimed at a general mathematical audience who is assumed to be familiar with only a fewbasic results from linear algebra, geometry, and mathematical and numerical analysis.
Adventures With Numbers
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The New Complete System of Arithmetick
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elementary Modular Iwasawa Theory
This book is the first to provide a comprehensive and elementary account of the new Iwasawa theory innovated via the deformation theory of modular forms and Galois representations. The deformation theory of modular forms is developed by generalizing the cohomological approach discovered in the author's 2019 AMS Leroy P Steele Prize-winning article without using much algebraic geometry.Starting with a description of Iwasawa's classical results on his proof of the main conjecture under the Kummer-Vandiver conjecture (which proves cyclicity of his Iwasawa module more than just proving his main conjecture), we describe a generalization of the method proving cyclicity to the adjoint Selmer group of every ordinary deformation of a two-dimensional Artin Galois representation.The fundamentals in the first five chapters are as follows: Many open problems are presented to stimulate young researchers pursuing their field of study.
