Geometry for Schools; Theoretical

Geometry for Schools; Theoretical PDF Author: Alfred Baker
Publisher: Hardpress Publishing
ISBN: 9781290100281
Category :
Languages : en
Pages : 288

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Book Description
Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Geometry for Schools; Theoretical

Geometry for Schools; Theoretical PDF Author: Alfred Baker
Publisher: Hardpress Publishing
ISBN: 9781290100281
Category :
Languages : en
Pages : 288

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Book Description
Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Geometry for Schools

Geometry for Schools PDF Author: Alfred Baker
Publisher:
ISBN:
Category : Geometry, Plane
Languages : en
Pages : 277

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Book Description


Geometry for Schools [microform]

Geometry for Schools [microform] PDF Author: Alfred 1848-1942 Baker
Publisher: Legare Street Press
ISBN: 9781014592071
Category :
Languages : en
Pages : 302

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Book Description
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.

Number Theory and Geometry: An Introduction to Arithmetic Geometry

Number Theory and Geometry: An Introduction to Arithmetic Geometry PDF Author: Álvaro Lozano-Robledo
Publisher: American Mathematical Soc.
ISBN: 147045016X
Category : Arithmetical algebraic geometry
Languages : en
Pages : 488

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Book Description
Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians have discovered many beautiful interactions between the two subjects and recorded them in such classical texts as Euclid's Elements and Diophantus's Arithmetica. Nowadays, the field of mathematics that studies the interactions between number theory and algebraic geometry is known as arithmetic geometry. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book. For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to find all the integral points on a line in the plane. Similarly, Gauss's law of quadratic reciprocity and the theory of continued fractions naturally arise when we attempt to determine the integral points on a curve in the plane given by a quadratic polynomial equation. After an introduction to the theory of diophantine equations, the rest of the book is structured in three acts that correspond to the study of the integral and rational solutions of linear, quadratic, and cubic curves, respectively. This book describes many applications including modern applications in cryptography; it also presents some recent results in arithmetic geometry. With many exercises, this book can be used as a text for a first course in number theory or for a subsequent course on arithmetic (or diophantine) geometry at the junior-senior level.

Elementary Geometry

Elementary Geometry PDF Author: Charles Godfrey
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 395

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Book Description


Geometry of String Theory Compactifications

Geometry of String Theory Compactifications PDF Author: Alessandro Tomasiello
Publisher: Cambridge University Press
ISBN: 1108473733
Category : Science
Languages : en
Pages : 677

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Book Description
A unified perspective on new and advanced mathematical techniques used in string theory research for graduate students and researchers.

Geometry for Schools. Theoretical. A sequel to Elementary Plane Geometry

Geometry for Schools. Theoretical. A sequel to Elementary Plane Geometry PDF Author: Alfred BAKER (Professor of Mathematics, University of Toronto.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 277

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Book Description


Enumerative Geometry and String Theory

Enumerative Geometry and String Theory PDF Author: Sheldon Katz
Publisher: American Mathematical Soc.
ISBN: 0821836870
Category : Mathematics
Languages : en
Pages : 226

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Book Description
Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is the way string theory has led to an overhaul of enumerative geometry, an area of mathematics that started in the eighteen hundreds. Century-old problems of enumerating geometric configurations have now been solved using new and deep mathematical techniques inspired by physics! The book begins with an insightful introduction to enumerative geometry. From there, the goal becomes explaining the more advanced elements of enumerative algebraic geometry. Along the way, there are some crash courses on intermediate topics which are essential tools for the student of modern mathematics, such as cohomology and other topics in geometry. The physics content assumes nothing beyond a first undergraduate course. The focus is on explaining the action principle in physics, the idea of string theory, and how these directly lead to questions in geometry. Once these topics are in place, the connection between physics and enumerative geometry is made with the introduction of topological quantum field theory and quantum cohomology.

New Foundations for Physical Geometry

New Foundations for Physical Geometry PDF Author: Tim Maudlin
Publisher:
ISBN: 0198701306
Category : Mathematics
Languages : en
Pages : 374

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Book Description
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.

Model Theory, Algebra, and Geometry

Model Theory, Algebra, and Geometry PDF Author: Deirdre Haskell
Publisher: Cambridge University Press
ISBN: 9780521780681
Category : Mathematics
Languages : en
Pages : 244

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Book Description
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.