Zannier U Some Problems of Unlikely Intersections in Arithmetic Geometry 2012 | 5.32 MB
N/A | 174 Pages

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De Dinechin F Application-Specific Arithmetic Computing 2024 | 29.84 MB
N/A | 810 Pages

Title: Application-Specific Arithmetic
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Free Download Application-Specific Arithmetic:
Computing Just Right for the Reconfigurable Computer and the Dark Silicon Era
English | 2024 | ISBN: 3031428072 | 827 Pages | PDF EPUB (True) | 75 MB

Free Download Ron Aharoni, "Arithmetic For Parents: A Book For Grown-Ups About Children's Mathematics "
English | ISBN: 9814602906 | 2015 | 210 pages | EPUB | 4 MB
"Throughout the volume, the author is delighted to develop his marvelous experience that elementary mathematics has a lot of depth and beauty. This text reinforces the importance if indepth understanding of mathematics. I would recommend this text to Mathematics Educators. It provides a very good look into elementary education in Israel, while at the same time reinforcing effective mathematics education that could be taught anywhere." Maa Reviews "I highly recommend the book to parents who have math phobias as well as those who want to brush up on their math skills to assist their children with homework assignments. It will give parents the confidence to help their children succeed and thrive in mathematics." Mathematics Teaching in the Middle School This book is the result of a unique experience: a research mathematician teaching in an elementary school. It tells about a fascinating discovery made by the author - that elementary mathematics has a lot of depth and beauty, and that the secret to its teaching is in understanding its deep points. The first part of the book discusses the nature of mathematics and its beauty. The second part tells about the teaching principles the author distilled from his experience. The third part is an excursion through the arithmetic studied in elementary school, accompanied by personal stories, historical anecdotes and teaching suggestions. The appendix relates the fascinating story of modern day politics of mathematical education. The book was a bestseller in Israel, and has been translated into many languages. The extraordinary combination of mathematical and didactic insights makes it an essential guide for parents and teachers alike.

Free Download Arithmetic Geometry by Gary Cornell, Joseph H. Silverman
English | PDF | 1986 | 359 Pages | ISBN : 0387963111 | 31.3 MB
This volume is the result of a (mainly) instructional conference on arithmetic geometry, held from July 30 through August 10, 1984 at the University of Connecticut in Storrs. This volume contains expanded versions of almost all the instructional lectures given during the conference. In addition to these expository lectures, this volume contains a translation into English of Falt ings' seminal paper which provided the inspiration for the conference. We thank Professor Faltings for his permission to publish the translation and Edward Shipz who did the translation. We thank all the people who spoke at the Storrs conference, both for helping to make it a successful meeting and enabling us to publish this volume. We would especially like to thank David Rohrlich, who delivered the lectures on height functions (Chapter VI) when the second editor was unavoidably detained. In addition to the editors, Michael Artin and John Tate served on the organizing committee for the conference and much of the success of the conference was due to them-our thanks go to them for their assistance. Finally, the conference was only made possible through generous grants from the Vaughn Foundation and the National Science Foundation.

Free Download Masanori Morishita, "Knots and Primes: An Introduction to Arithmetic Topology"
English | 2011 | pages: 202 | ISBN: 1447121570 | EPUB | 2,7 mb
This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated and proofs are largely self-contained. When necessary, background information is provided and theory is accompanied with a number of useful examples and illustrations, making this a useful text for both undergraduates and graduates in the field of knot theory, number theory and geometry. ​

Free Download Local Systems in Algebraic-Arithmetic Geometry
English | 2023 | ISBN: 303140839X | 94 Pages | PDF EPUB (True) | 6 MB
The topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is to consider its complex linear representations modulo conjugation, that is, its complex local systems. A fundamental problem is then to single out the complex points of such moduli spaces which correspond to geometric systems, and more generally to identify geometric subloci of the moduli space of local systems with special arithmetic properties. Deep conjectures have been made in relation to these problems. This book studies some consequences of these conjectures, notably density, integrality and crystallinity properties of some special loci.

Silverman J Arithmetic Geometry 1986 | 24.54 MB
English | 589 Pages

Title: Abstract Algebra
Author: Silverman, Joseph H.;
Year: 1986

Silverman J The Arithmetic of Elliptic Curves 2ed 2009 | 2.95 MB
English | 534 Pages

Title: The Arithmetic of Elliptic Curves, 2nd Edition (Graduate Texts in Mathematics)
Author: Joseph H. Silverman
Year: 2009

Free Download Conjectures in Arithmetic Algebraic Geometry: A Survey by Wilfred W. J. Hulsbergen
English | PDF | 1992 | 246 Pages | ISBN : 3528064331 | 11.1 MB
In this expository paper we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued mathematicians for a long period of time. Starting from Fermat's Last Theorem one is naturally led to intro- duce L-functions, the main motivation being the calculation of class numbers. In particular, Kummer showed that the class numbers of cyclotomic fields playa decisive role in the corroboration of Fermat's Last Theorem for a large class of exponents. Before Kummer, Dirich- let had already successfully applied his L-functions to the proof of the theorem on arithmetic progressions.