Math Foundation +
The Math Labs are designed using the "Chunking Method" of learning math concepts. Besides focused labs involving Math Foundation, an introduction to Geometry, Algebra, and Functions are also included. This book is perfect for 6th and 7th-grade students who are about to learn Pre-Algebra and Algebra 1. Others interested in this book may be those studying for standardized test exams, homeschool, and GED students.
In the Tradition of Thurston
This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed include, among others, knot theory, the topology of 3-manifolds, circle packings, complex projective structures, hyperbolic geometry, Kleinian groups, foliations, mapping class groups, Teichm羹ller theory, anti-de Sitter geometry, and co-Minkowski geometry. The book is addressed to researchers and students who want to learn about Thurston's wide-ranging mathematical ideas and their impact. At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics.
Quantum Key Distribution Using FPGA
This book presents a study and analysis to investigate of a secret-key sharing in quantum technique and try to increase the key length and security level in the sifting key stage. Enhancements in sifting key stage and error correction stage are done by repeating the QKD protocol and encoding the key bits before sending them by adding a C_QUBITS technique. After that, 60% base probability is used to increase the protocol gain. The prototype is implemented with the default FPGA clock period which is 20 ns; the performance analysis shows a good enhancement in the speed of generation which is less than 20 ns and the number of used hardware pins is just 3 pins.
Algebraic Topology
Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved. The main subject of this book is singular homology, the simplest of these translations. Studying this theory and its applications, we also investigate its underlying structural layout - the topics of Homological Algebra, Homotopy Theory and Category Theory which occur in its foundation.This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with a moderate amount of prerequisites -- basic general topology and little else -- and a moderate progression starting from a very elementary beginning. A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions.It can be used as a textbook for a semester course or self-study, and a guidebook for further study.
Geometry
The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof - deductive reasoning from a set of axioms - first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Starting from the basics, Maciej Dunajski proceeds from concrete examples (of mathematical objects like Platonic solids, or theorems like the Pythagorean theorem) to general principles. Throughout, he outlines the role geometry plays in the broader context of science and art. bVery Short Introductionsb: Brilliant, Sharp, Inspiring /b ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Lessons in Geometry
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.
Differential Geometry of Curves and Surfaces with Singularities
This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces. It is written by three leading experts on the interplay between two important fields -- singularity theory and differential geometry.The book introduces singularities and their recognition theorems, and describes their applications to geometry and topology, restricting the objects of attention to singularities of plane curves and surfaces in the Euclidean 3-space. In particular, by presenting the singular curvature, which originated through research by the authors, the Gauss-Bonnet theorem for surfaces is generalized to those with singularities. The Gauss-Bonnet theorem is intrinsic in nature, that is, it is a theorem not only for surfaces but also for 2-dimensional Riemannian manifolds. The book also elucidates the notion of Riemannian manifolds with singularities.These topics, as well as elementary descriptions of proofs of the recognition theorems, cannot be found in other books. Explicit examples and models are provided in abundance, along with insightful explanations of the underlying theory as well. Numerous figures and exercise problems are given, becoming strong aids in developing an understanding of the material.Readers will gain from this text a unique introduction to the singularities of curves and surfaces from the viewpoint of differential geometry, and it will be a useful guide for students and researchers interested in this subject.
Certificates of Positivity for Real Polynomials
This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of positivity for a real polynomial is an algebraic identity that gives an immediate proof of a positivity condition for the polynomial. Certificates of positivity have their roots in fundamental work of David Hilbert from the late 19th century on positive polynomials and sums of squares. Because of the numerous applications of certificates of positivity in mathematics, applied mathematics, engineering, and other fields, it is desirable to have methods for finding, describing, and characterizing them. For many of the topics covered in this book, appropriate algorithms, computational methods, and applications are discussed. This volume contains a comprehensive, accessible, up-to-date treatment of certificates of positivity, written by an expert in the field. It provides an overview of both the theory and computational aspects of the subject, and includes many of the recent and exciting developments in the area. Background information is given so that beginning graduate students and researchers who are not specialists can learn about this fascinating subject. Furthermore, researchers who work on certificates of positivity or use them in applications will find this a useful reference for their work.
Ethereum
This book is an exclusive read to get the proper understanding about Ethereum and how to make money using it. Ethereum goes beyond a cryptocurrency by providing a platform with all tools users need to create and run decentralized applications. Decentralized applications are those that can run without depending on a centralized authority. Here Is A Preview Of What's Included...- What is ethereum?- Smart contracts, dapps, and daos- The technology behind ethereum- What is ethereum mining?- Uses of ethereum- What is ether?- The financial history of ether- Much, much more!Now that the world is going digital, everyone can feel its effects in all sectors of the economy, including the financial industry. People are searching for transactions that are convenient and seamless. With the birth of cryptocurrency, operations are now faster and more transparent. However, there are rapid developments taking place every day, and it is imperative to have a general understanding of how a cryptocurrency works.
Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces
This textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity. Written by leading experts in their respective fields, the chapters stem from mini-courses given alongside three workshops that took place in Montr矇al between 2018 and 2019. Each chapter is self-contained, including an overview of preliminaries for each respective topic. This approach captures the spirit of the original lectures, which prepared graduate students and those new to the field for the technical talks in the program. The four chapters turn the spotlight on the following pivotal themes: The basic notions of o-minimal geometry, which build to the proof of the Ax-Schanuel conjecture for variations of Hodge structures;A broad introduction to the theory of orbifold pairs and Campana's conjectures, with a special emphasis on the arithmetic perspective;A systematic presentation and comparison between different notions of hyperbolicity, as an introduction to the Lang-Vojta conjectures in the projective case;An exploration of hyperbolicity and the Lang-Vojta conjectures in the general case of quasi-projective varieties.Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal resource for graduate students and researchers in number theory, complex algebraic geometry, and arithmetic geometry. A basic course in algebraic geometry is assumed, along with some familiarity with the vocabulary of algebraic number theory.
Topological, Differential and Conformal Geometry of Surfaces
-1. Basic Differential Geometry.- 2. The Geometry of Manifolds.- 3. Hyperbolic Geometry.- 4. Some Examples and Sources of Geometry.- 5. Differential Topology of Surfaces.- 6. Riemann Surfaces.- 7. Surfaces of Genus g = 0.- 8. Surfaces with Riemannian Metric.- 9. Outline: Uniformization by Spectral Determinant.- 10. Uniformization by Energy.- 11. Families of Spaces.- 12. Functions on Riemann Surfaces.- 13. Line Bundles and Cohomology.- 14. Moduli Spaces and Teichm羹ller Spaces.- 15. Dimensions of Spaces of Holomorphic Sections.- 16. The Teichm羹ller Curve and its Universal Property.- 17. Riemann Surfaces and Algebraic Curves.- 18. The Jacobian of a Riemann Surface.- 19. Special Metrics on J-Surfaces.- 20. The Fundamental Group and Coverings.- A. Reminder: Topology.- References.- Index.
![Elements of Geometry [microform]](https://cdn.kingstone.com.tw/english/images/product/5158/9781014585158m.webp "Elements of Geometry [microform]")
Elements of Geometry [microform]
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Combinatorial Topology; 1
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A General Geometry and Calculus
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Examples of the Application of Trigonometry to Crystallographic Calculations [microform]
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The Mechanic's Companion, or, The Elements and Practice of Carpentry, Joinery, Bricklaying, Masonry, Slating, Plastering, Painting, Smithing, and Turning
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Geometrical Solutions of the Lengths and Division of Circular Arcs [microform]
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The Cardioide and Some of Its Related Curves [microform]
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Note-book on Plane Geometrical Drawing
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The Mechanic's Companion, or, The Elements and Practice of Carpentry, Joinery, Bricklaying, Masonry, Slating, Plastering, Painting, Smithing and Turning
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The Rational Quartic Curve in Space of Three and Four Dimensions; Being an Introduction to Rational Curves
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Foundations of Geometry
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Plane Trigonometry, as Far as the Solution of Triangles. 4th Ed., With Numerous Examples and Four-figure Tables of Logarithms of Numbers and of the Trigonometrical Ratios
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The Rational Quartic Curve in Space of Three and Four Dimensions; Being an Introduction to Rational Curves
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An Elementary Treatise on Trilinear Co-ordinates, the Method of Reciprocal Polars, and the Theory of Projections
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![Analytic and Practical Plane and Spherical Trigonometry [microform]](https://cdn.kingstone.com.tw/english/images/product/5113/9781013875113m.webp "Analytic and Practical Plane and Spherical Trigonometry [microform]")
Analytic and Practical Plane and Spherical Trigonometry [microform]
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![Elements of Geometry [microform]](https://cdn.kingstone.com.tw/english/images/product/2161/9781015122161.webp "Elements of Geometry [microform]")
Elements of Geometry [microform]
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A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic Sections
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The Rudiments of Practical Bricklaying
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Plane Trigonometry, as Far as the Solution of Triangles. 4th Ed., With Numerous Examples and Four-figure Tables of Logarithms of Numbers and of the Trigonometrical Ratios
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Plane Trigonometry for the Use of Colleges and Schools [microform]
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Elements of Geometry
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![Elements of Geometry [microform]](https://cdn.kingstone.com.tw/english/images/product/1024/9781015391024m.webp "Elements of Geometry [microform]")
Elements of Geometry [microform]
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Maps of Certain Algebraic Curves Invariant Under Cyclic Involutions of Periods Three, Five, and Seven ..
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Elements of Geometry; Containing the First Six Books of Euclid, With Two Books on the Geometry of Solids. To Which Are Added Elements of Plane and Spherical Trigonometry
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Elements of Geometry and Trigonometry
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The Elements of Euclid for the Use of Schools and Colleges [microform]
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![The Elements of Euclid for the Use of Schools and Colleges [microform]](https://cdn.kingstone.com.tw/english/images/product/9409/9781013899409m.webp "The Elements of Euclid for the Use of Schools and Colleges [microform]")
The Elements of Euclid for the Use of Schools and Colleges [microform]
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An Elementary Treatise on Determinants
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Elements of Geometry
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.
A Perspective on Canonical Riemannian Metrics
This book focuses on a selection of special topics, with emphasis on past and present research of the authors on "canonical" Riemannian metrics on smooth manifolds. On the backdrop of the fundamental contributions given by many experts in the field, the volume offers a self-contained view of the wide class of "Curvature Conditions" and "Critical Metrics" of suitable Riemannian functionals. The authors describe the classical examples and the relevant generalizations. This monograph is the winner of the 2020 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.
![Euclid's Elements of Geometry, Book I [microform]](https://cdn.kingstone.com.tw/english/images/product/5314/9781014455314.webp "Euclid's Elements of Geometry, Book I [microform]")
Euclid's Elements of Geometry, Book I [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.
Applications of Topology to Sintering
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.
Flatland
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A General Geometry and Calculus
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.
![Euclid's Book on Divisions of Figures [Peri Diair矇son Biblion] [microform]](https://cdn.kingstone.com.tw/english/images/product/3535/9781015273535m.webp "Euclid's Book on Divisions of Figures [Peri Diair矇son Biblion] [microform]")
Euclid's Book on Divisions of Figures [Peri Diair矇son Biblion] [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.
Surfaces Obtained From Involutions Generated by Homographies of Periods Three Five and Thirteen ...
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An Analysis of the Introduction and Book I of the Text High School Geometry by A.H. McDougall and R.S. Sheppard
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.
