![The Circle and Straight Line [microform]](https://cdn.kingstone.com.tw/english/images/product/5092/9781014605092m.webp "The Circle and Straight Line [microform]")
![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]")
The Elements Of Algebra, Tr. From The First Three Chapters Of The Algebra Of M. Bourdon, By A. De Morgan
"The Elements Of Algebra, Tr. From The First Three Chapters Of The Algebra Of M. Bourdon, By A. De Morgan" presents an English translation of the foundational chapters of M. Bourdon's influential algebra textbook. This historical text offers insights into mathematical education and algebraic principles as they were understood in the early 19th century. The work, translated by the eminent mathematician Augustus De Morgan, provides a valuable resource for understanding the development of algebraic thought and pedagogical methods. It remains relevant for historians of mathematics and those interested in the evolution of mathematical teaching techniques.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Archiv Der Mathematik Und Physik
Archiv Der Mathematik Und Physik, Volume 23 presents a comprehensive collection of articles and discussions from the Berliner Mathematische Gesellschaft. This volume offers valuable insights into the mathematical and physical sciences as understood and developed during the period it was published. Featuring contributions from leading scholars and researchers of the time, the book covers a wide range of topics, reflecting the state-of-the-art in mathematical theories and physical experiments. Readers interested in the history of science, particularly the evolution of mathematical and physical thought, will find this volume an essential resource. The detailed expositions and rigorous analyses make "Archiv Der Mathematik Und Physik" a significant historical document, preserving the intellectual landscape of its era and showcasing the foundations upon which modern science was built.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
College Placement Math Workbook
College Placement Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived!Here is everything you need to pass this tough test!We have helped thousands of students and we can help you!Over 200 College math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies!College Math Practice Questions and Tutorials for: Basic MathScientific NotationExponents and Radicals Square RootFractions, Decimals and PercentMeans, Median and ModesAlgebra Solve real world problems with ratio and proportion Solve one and two variable equations Identify and solve quadratic equations given values or graphs Solve quadratic using different methods Translate real world problems into quadratic equa-tions and solve Basic Geometry Slope of a line Identify linear equations from a graph Calculate perimeter, circumference and volume Solve problems using the Pythagorean theorem Determine geometric transformations You also receive: Math Multiple Choice Strategy- How to Study for a Math Test- How to make a study plan- How to Take a TestHeard it all before? Maybe you have heard this kind of thing before, and don't feel you need it. Maybe you are not sure if you are going to buy this book.Remember though, it only a few percentage points divide the PASS from the FAIL students!
Graphical And Mechanical Computation Part 1 Alignment Charts
Graphical and Mechanical Computation, Part 1: Alignment Charts, by Joseph Lipka, originally published in 1918, delves into the theory and construction of alignment charts, also known as nomograms. This comprehensive guide offers a detailed exploration of how these charts are used for solving equations graphically, making it an invaluable resource for engineers, mathematicians, and scientists. Lipka meticulously explains the underlying mathematical principles and provides numerous examples to illustrate the practical application of alignment charts in various fields. The book covers topics such as the representation of equations, the construction of scales, and the design of charts for specific functions. With its clear explanations and practical focus, this book remains a vital reference for anyone interested in the history and application of graphical computation methods.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Essays in Classical Number Theory
Offering a comprehensive introduction to number theory, this is the ideal book both for those who want to learn the subject seriously and independently, or for those already working in number theory who want to deepen their expertise. Readers will be treated to a rich experience, developing the key theoretical ideas while explicitly solving arithmetic problems, with the historical background of analytic and algebraic number theory woven throughout. Topics include methods of solving binomial congruences, a clear account of the quantum factorization of integers, and methods of explicitly representing integers by quadratic forms over integers. In the later parts of the book, the author provides a thorough approach towards composition and genera of quadratic forms, as well as the essentials for detecting bounded gaps between prime numbers that occur infinitely often.
Advanced Statistical Analytics for Health Data Science with SAS and R
Serves as a comprehensive reference for health data scientists, bridging fundamental statistical principles with advanced analytical techniques. Provides clear explanations of statistical theory and its application to real-world health data.
Entropies and Fractionality
Entropies and Fractionality: Entropy Functionals, Small Deviations and Related Integral Equations starts with a systematization and calculation of various entropies (Shannon, R矇nyi and some others) of selected absolutely continuous probability distributions.
Visualization for Social Data Science
"This is an important book on an important topic. I particularly like the examples showing different visualizations of the same data and the parallel presentation of graphics and code. And I absolutely love the chapter on visual storytelling. I can't wait to use this book in my classes."- Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University, New York"A book that gives learners the inspiration, knowledge and worked examples to create cutting edge visualisations of their own."- James Cheshire, Professor of Geographic Information and Cartography, University College LondonVisualization for Social Data Science provides end-to-end skills in visual data analysis. The book demonstrates how data graphics and modern statistics can be used in tandem to process, explore, model and communicate data-driven social science. It is packed with detailed data analysis examples, pushing you to do visual data analysis. As well as introducing, and demonstrating with code, a wide range of data visualizations for exploring patterns in data, Visualization for Social Data Science shows how models can be integrated with graphics to emphasise important structure and de-emphasise spurious structure and the role of data graphics in scientific communication -- in building trust and integrity. Many of the book's influences are from data journalism, as well as information visualization and cartography. Each chapter introduces statistical and graphical ideas for analysis, underpinned by real social science datasets. Those ideas are then implemented via principled, step-by-step, workflows in the programming environment R. Key features include: - Extensive real-world data sets and data analysis scenarios in Geography, Public Health, Transportation, Political Science;- Code examples fully-integrated into main text, with code that builds in complexity and sophistication;- Quarto template files for each chapter to support literate programming practices;- Functional programming examples, using tidyverse, for generating empirical statistics (bootstrap resamples, permutation tests) and working programmatically over model outputs;- Unusual but important programming tricks for generating sophisticated data graphics such as network visualizations, dot-density maps, OD maps, glyphmaps, icon arrays, hypothetical outcome plots and graphical line-ups plots. Every data graphic in the book is implemented via ggplot2.- Chapters on uncertainty visualization and data storytelling that are uniquely accompanied with detailed, worked examples.
Hierarchical Modeling and Analysis for Spatial Data
The 3rd edition of this popular and authoritative text on Bayesian modeling and inference for spatial and spatial-temporal data presents a comprehensive presents a comprehensive and up-to-date treatment of hierarchical and multilevel modeling for spatial and spatio-temporal data within a Bayesian framework.
Banach Contraction Principle
This book offers a comprehensive exploration of the Banach contraction principle and its many facets. A compilation of chapters authored by global experts, it is aimed at researchers and graduate students in mathematics. The content covers the Banach contraction principle, its generalizations, extensions, consequences and applications, focusing on both single-valued and multi-valued mappings across various spaces. While discussing theoretical foundations, this book uniquely emphasizes the practical applications of the Banach contraction principle in real-world problem-solving scenarios. Each chapter addresses specific topics, including fractals, fractional differentials, integral equations, elastic beam problems and mathematical modeling and analysis of electrical circuits. These diverse subjects showcase the principle's versatility in solving complex issues that go beyond theoretical mathematics. By highlighting Banach's contraction principle as a lasting legacy, the book not only honours past mathematical achievements but also anticipates future innovations in industrial and applied mathematics. It underscores the enduring relevance of the principle, ensuring its continued prominence in mathematical discourse and its pivotal role in driving advancements across the field. This comprehensive exploration catalyzes inspiring future developments in mathematical research.
On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions
This book is a research monograph with specialized mathematical preliminaries. It presents an original range space and conic theory of infinite dimensional polyhedra (closed convex sets) and optimization over polyhedra in separable Hilbert spaces, providing, in infinite dimensions, a continuation of the author's book: A Conical Approach to Linear Programming, Scalar and Vector Optimization Problems, Gordon and Breach Science Publishers, Amsterdam, 1997. It expands and improves author's new approach to the Maximum Priciple for norm oprimal control of PDE, based on theory of convex cones, providing shaper results in various Hilbert space and Banach space settings. It provides a theory for convex hypersurfaces in lts and Hilbert spaces. For these purposes, it introduces new results and concepts, like the generalizations to the non compact case of cone capping and of the Krein Milman Theorem, an extended theory of closure of pointed cones, the notion of beacon points, and a necessary and sufficient condition of support for void interior closed convex set (complementing the Bishop Phelps Theorem), based on a new decomposition of non closed non pointed cones with non closed lineality space.
A Theory of Traces and the Divergence Theorem
This book provides a new approach to traces, which are viewed as linear continuous functionals on some function space. A key role in the analysis is played by integrals related to finitely additive measures, which have not previously been considered in the literature. This leads to Gauss-Green formulas on arbitrary Borel sets for vector fields having divergence measure as well as for Sobolev and BV functions. The integrals used do not require trace functions or normal fields on the boundary and they can deal with inner boundaries. For the treatment of apparently intractable degenerate cases a second boundary integral is used. The calculus developed here also allows integral representations for the precise representative of an integrable function and for the usual boundary trace of Sobolev or BV functions. The theory presented gives a new perspective on traces for beginners as well as experts interested in partial differential equations. The integral calculus might also be a stimulating tool for geometric measure theory.
Cross-Diffusion Systems
The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.
Commutative Algebra
Wolmer Vasconcelos was one of the giants in the development of Commutative Algebra in the latter half of the twentieth century and the first decades of the twenty-first century. This work collects in one place essays illustrating the important developments of his work particularly in commutative algebra that permits the reader to see the development of his important ideas and how they influence the development of mathematics today.
The Quarterly Journal Of Pure And Applied Mathematics
"The Quarterly Journal Of Pure And Applied Mathematics, Volume 4" is a valuable resource for anyone interested in the historical development of mathematical thought and practice. This volume presents a collection of articles covering a wide range of topics in both pure and applied mathematics, offering insights into the mathematical landscape of the time. A significant addition to any mathematics library, this journal provides a glimpse into the evolution of mathematical ideas and their applications across various fields.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Arithmetic And Algebra In Their Principles And Application
"Arithmetic and Algebra In Their Principles and Application" is a comprehensive guide designed to elucidate the fundamental principles of arithmetic and algebra. Intended for students and educators alike, this book offers a systematic approach to understanding and applying mathematical concepts. Starting with basic arithmetic operations and progressing to more complex algebraic equations, the text provides clear explanations and numerous examples to reinforce learning.This book emphasizes the importance of a strong foundation in mathematics and aims to develop problem-solving skills. Whether used as a textbook or for self-study, "Arithmetic and Algebra" serves as an invaluable resource for mastering essential mathematical techniques.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements Of Geometry
"Elements of Geometry," adapted from Davies Legendre, presents a rigorous and systematic exposition of Euclidean geometry. This classic work, based on the foundational principles established by Adrien-Marie Legendre, offers a comprehensive exploration of geometric axioms, theorems, and constructions. Designed for students and educators alike, this edition retains the clarity and precision of Legendre's original text while providing accessible explanations and illustrative diagrams. The book covers essential topics such as lines, angles, triangles, circles, and planes, culminating in the study of solid geometry. With its emphasis on logical reasoning and deductive proof, "Elements of Geometry" remains an invaluable resource for anyone seeking a solid understanding of fundamental geometric principles. Its enduring relevance makes it a cornerstone of mathematical education.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Solid Geometry
This classic text, "Solid Geometry," by Franz Hocevar, translated and adapted by C. Godfrey and E.A. Price, offers a comprehensive exploration of three-dimensional geometry. Designed for students and educators alike, the book provides a rigorous yet accessible approach to understanding the fundamental principles of solid geometry.Through clear explanations and detailed diagrams, Hocevar's work covers a wide range of topics, including the properties of polyhedra, the calculation of volumes and surface areas, and the relationships between geometric figures in space. This edition, carefully adapted for English-speaking audiences, retains the original's precision while enhancing its clarity and usability, making it an invaluable resource for anyone studying or teaching this essential branch of mathematics. A timeless contribution to mathematical literature, "Solid Geometry" continues to inspire and educate generations of learners.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Elementary Course Of Plane Geometry And Mensuration
"An Elementary Course Of Plane Geometry And Mensuration" by Richard Wormell offers a comprehensive introduction to the fundamental principles of plane geometry and mensuration. Designed as a teaching resource, this book systematically explores geometric theorems and their applications, alongside practical exercises in measurement. Readers will gain a solid understanding of geometric concepts, enhancing their problem-solving skills through clear explanations and numerous examples. This classic text is ideal for students and educators seeking a structured approach to mastering the essentials of plane geometry and mensuration. Its enduring value lies in its accessibility and its focus on building a strong foundation in mathematical reasoning.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements Of Algebra
"Elements Of Algebra: An Abridgment Of Day's Algebra" is a classic textbook designed to introduce students to the fundamental principles of algebra. Authored by James Bates Thomson, this book offers a structured and comprehensive approach to learning algebraic concepts, making it suitable for both classroom instruction and self-study. The book covers essential topics in algebra, providing clear explanations and numerous examples to aid understanding. Its abridged format makes it a concise yet thorough resource for students seeking to build a strong foundation in algebraic problem-solving. 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Doctrine Of Chances, Or, The Theory Of Gaming, Made Easy
The Doctrine of Chances, or, The Theory of Gaming, Made Easy, explores the mathematical principles underlying games of chance and gambling. Written by William Rouse, this treatise provides a detailed examination of probability as it applies to various games, offering insights into the odds and strategies involved. The book delves into the calculations necessary for understanding and predicting outcomes in gaming scenarios, making it accessible to both mathematicians and enthusiasts interested in the theory behind games of chance. Rouse's work is a valuable resource for anyone seeking to understand the mathematical foundations of gambling and probability, offering a historical perspective on the development of these concepts. This edition preserves the original text, providing readers with an authentic view of early mathematical approaches to gaming.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Elementary Treatise On Algebra, Theoretical And Practical
"An Elementary Treatise On Algebra, Theoretical And Practical" by John Radford Young is a comprehensive guide designed to simplify the study of algebra for students. This book provides a thorough exploration of algebraic principles, combining theoretical knowledge with practical applications. Intended for classroom use, the treatise includes explanations and methods to clarify challenging concepts. Young's approach aims to make algebra accessible, enabling students to build a solid foundation in the subject. This work remains valuable for those seeking a clear and methodical introduction to algebra.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Introduction to Web Mining
This book is devoted to the art and science of web mining -- showing how the world's largest information source can be turned into structured, research-ready data. Drawing on many years of teaching graduate courses on Web Mining and on numerous large-scale research projects in web mining contexts, the author provides clear explanations of key web technologies combined with hands-on R tutorials that work in the real world -- and keep working as the web evolves. Through the book, readers will learn how to - scrape static and dynamic/JavaScript-heavy websites - use web APIs for structured data extraction from web sources - build fault-tolerant crawlers and cloud-based scraping pipelines - navigate CAPTCHAs, rate limits, and authentication hurdles - integrate AI-driven tools to speed up every stage of the workflow - apply ethical, legal, and scientific guidelines to their web mining activities Part I explains why web data matters and leads the reader through a first "hello-scrape" in R while introducing HTML, HTTP, and CSS. Part II explores how the modern web works and shows, step by step, how to move from scraping static pages to collecting data from APIs and JavaScript-driven sites. Part III focuses on scaling up: building reliable crawlers, dealing with log-ins and CAPTCHAs, using cloud resources, and adding AI helpers. Part IV looks at ethical, legal, and research standards, offering checklists and case studies, enabling the reader to make responsible choices. Together, these parts give a clear path from small experiments to large-scale projects. This valuable guide is written for a wide readership -- from graduate students taking their first steps in data science to seasoned researchers and analysts in economics, social science, business, and public policy. It will be a lasting reference for anyone with an interest in extracting insight from the web -- whether working in academia, industry, or the public sector.
Essential Statistics
Essential Statistics: Understanding and Using Data provides students with the tools they need to understand what statistics are, how they work, why they are so important, and how they function in the world. With a focus on step-by-step instruction, Essential Statistics begins each section with a sharp focus on simplified main concepts, followed by expansions into how variation impacts each concept. Readers find this easy-to-read textbook welcoming because of its friendly, patient voice and style and its reliance on real-world examples of where statistics fit in everyday life.This book covers the basics of statistics and data, as well as more advanced topics, including: Descriptive statistics, data displays, central location, and deviations Discrete probability distributions Continuous probability distributions Confidence intervals Hypothesis testing Correlation and linear regression Analysis of variance (ANOVA)Nonparametric statisticsWritten by an actual teacher, Essential Statistics recognizes the need for down-to-earth math instruction. It perfectly addresses this by giving students accessible, linear, and relevant context for why statistics are what its title suggests: essential.
Field Theory
This book, Field Theory, is the collection of the lecture notes describing abstract concepts on field extensions including algebraic and transcendental field extensions, splitting field and algebraic closure, the fundamental theorem of Galois theory, separable and normal extension, and finite fields. It provides definitions, examples, theorems, and proofs of the abstract algebraic concepts of field on the aforementioned topics in simple language. The proofs of such abstraction given in this books are written from the perspective of students as much as possible.
A Primer on Semiconvex Functions in General Potential Theories
This book examines the symbiotic interplay between fully nonlinear elliptic partial differential equations and general potential theories of second order. Starting with a self-contained presentation of the classical theory of first and second order differentiability properties of convex functions, it collects a wealth of results on how to treat second order differentiability in a pointwise manner for merely semicontinuous functions. The exposition features an analysis of upper contact jets for semiconvex functions, a proof of the equivalence of two crucial, independently developed lemmas of Jensen (on the viscosity theory of PDEs) and Slodkowski (on pluripotential theory), and a detailed description of the semiconvex approximation of upper semicontinuous functions. The foundations of general potential theories are covered, with a review of monotonicity and duality, and the basic tools in the viscosity theory of generalized subharmonics, culminating in an account of the monotonicity-duality method for proving comparison principles. The final section shows that the notion of semiconvexity extends naturally to manifolds. A complete treatment of important background results, such as Alexandrov's theorem and a Lipschitz version of Sard's lemma, is provided in two appendices. The book is aimed at a wide audience, including professional mathematicians working in fully nonlinear PDEs, as well as master's and doctoral students with an interest in mathematical analysis.
Nonlinear Regression Methods for Estimation
Regression techniques are developed for batch estimation and applied to three specific areas, namely, ballistic trajectory launch point estimation, adaptive flight control, and radio-frequency target triangulation. Specifically, linear regression with an intercept is considered in detail. An augmentation formulation is developed. Extensions of theory are applied to nonlinear regression as well. The intercept parameter estimate within the linear regression is used to identify the e ects of trim change that are associated with the occurrence of a control surface failure. These estimates are used to adjust the inner loop control gains via a feed-forward command, hence providing an automatic recon gurable retrim of an aircraft. The regression algorithms are used to consider reduced information applications, such as initial position target determination from bearings-only measurement data. In total, this dissertation develops algorithms for batch processes that broaden the envelope of successful estimation within the three aforementioned application areas. Additionally, the developed batch algorithms do not adversely impact the estimation ability in cases that are already estimated successfully by conventional approaches.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Trigonometric Transforms for Image Reconstruction
This dissertation demonstrates how the symmetric convolution-multiplication property of discrete trigonometric transforms can be applied to traditional problems in image reconstruction with slightly better performance than Fourier techniques and increased savings in computational complexity for symmetric point spread functions. The fact that the discrete Fourier transform diagonalizes a circulant matrix provides an alternate way to derive the symmetric convolutionmultiplication property for discrete trigonometric transforms. Derived in this manner, the symmetric convolution-multiplication property extends easily to multiple dimensions and generalizes to multidimensional asymmetric sequences. The symmetric convolution-multiplication property allows for linear filtering of degraded images via point-by-point multiplication in the transform domain of trigonometric transforms. Specifically in the transform domain of a type-II discrete cosine transform, there is an asymptotically optimum energy compaction about the lowfrequency indices of highly correlated images which has advantages in reconstructing images with high-frequency noise. The symmetric convolution-multiplication property allows for wellapproximated scalar representations in the trigonometric transform domain for linear reconstruction filters such as the Wiener filter. An analysis of the scalar Wiener filter's improved meansquared error performance in the trigonometric transform domain is given.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Entire Blow-Up Solutions of Semilinear Elliptic Equations and Systems
We examine two problems concerning semilinear elliptic equations. We also give alternative conditions that ensure existence of nonnegative radial solutions blowing up at infinity. Similarly, for systems, we provide conditions on p, q, f and g that guarantee existence of nonnegative solutions on the entire space. In this case, the main requirement for f and g will be closely related to a growth requirement known as the Keller-Osserman condition. Further, we demonstrate the existence of solutions blowing up at infinity and describe a setof initial conditionsthat would generate such solutions. Lastly, we examine several specific equations and systems numerically to graphically demonstrate the results of our analysis.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Algebra Refresher Workbook for Adults Returning to School
Struggling to remember the algebra you haven't touched since high school-just when that placement test is around the corner?Do you dread being the oldest student in class-only to freeze when the instructor writes 2x + 3 = 9 on the board?⭐️ 1st BONUS: 1-PAGE SCIENTIFIC CALCULATOR GUIDE⭐️ 2nd BONUS: FORMULA SHEET FOR BOOK⭐️ 3rd BONUS: WE'LL SOLVE A PROBLEM FOR YOUIf so, Algebra Refresher Workbook for Adults Returning to School is the reboot every busy learner needs. Drawing on a decade as an engineer and more than 10 years tutoring adult students, Hadden Mendoshek has distilled the most essential algebra skills into a 30-day, 30-worksheet program that fits into coffee breaks-not semesters.Inside this workbook, readers will discover: A complete 30-day road map that guides learners from integers to linear equations without guesswork.300 carefully sequenced problems-each spaced for comfortable, uncluttered work.Step-by-step walkthroughs that model exactly how to solve every type of question.Guided examples that act as an on-page tutor before the learner tries solo practice.Progressively tougher drills that build confidence one small victory at a time.Real-world applications showing how solving for x saves money, time, and stress.Handy reference sheets for formulas, properties, and number rules.Answer key for every problem.Visual aids and graphs for learners who absorb information best through images......
Algebra Refresher Workbook for Adults Returning to School
Struggling to remember the algebra you haven't touched since high school-just when that placement test is around the corner?Do you dread being the oldest student in class-only to freeze when the instructor writes 2x + 3 = 9 on the board?⭐️ 1st BONUS: 1-PAGE SCIENTIFIC CALCULATOR GUIDE⭐️ 2nd BONUS: FORMULA SHEET FOR BOOK⭐️ 3rd BONUS: WE'LL SOLVE A PROBLEM FOR YOUIf so, Algebra Refresher Workbook for Adults Returning to School is the reboot every busy learner needs. Drawing on a decade as an engineer and more than 10 years tutoring adult students, Hadden Mendoshek has distilled the most essential algebra skills into a 30-day, 30-worksheet program that fits into coffee breaks-not semesters.Inside this workbook, readers will discover: A complete 30-day road map that guides learners from integers to linear equations without guesswork.300 carefully sequenced problems-each spaced for comfortable, uncluttered work.Step-by-step walkthroughs that model exactly how to solve every type of question.Guided examples that act as an on-page tutor before the learner tries solo practice.Progressively tougher drills that build confidence one small victory at a time.Real-world applications showing how solving for x saves money, time, and stress.Handy reference sheets for formulas, properties, and number rules.Answer key for every problem.Visual aids and graphs for learners who absorb information best through images.....
Recent Progress Numeric Analy Nonlinear Dispersive Equation
This book presents an overview of recent advances in the numerical analysis of nonlinear dispersive partial differential equations (PDEs) - including the nonlinear Schr繹dinger equation, the Korteweg-de Vries (KdV) equation, and the nonlinear Klein-Gordon equation. These fundamental models are central to mathematical physics and computational PDE theory, and their analysis, both individually and through asymptotic relationships, has become an active and evolving area of research.Recent progress includes the extension of harmonic analysis tools, such as Strichartz estimates and Bourgain spaces, into discrete settings. These innovations have improved the accuracy and flexibility of numerical methods, especially by relaxing regularity assumptions on initial data, potentials, and nonlinearities. Additionally, enhanced long-time numerical estimates now support simulations over substantially longer time intervals, expanding the practical reach of computational models.The analytical breakthroughs that underpin these developments trace back to the seminal work by Jean Bourgain in the 1990s, which introduced powerful techniques for studying dispersive PDEs. Adapting these continuous tools to discrete frameworks has proven both challenging and rewarding, offering new insights into the interface between numerical computation and theoretical analysis.Aimed at graduate students, researchers, and practitioners in numerical analysis, applied mathematics, and computational physics, this volume provides a clear entry point into cutting-edge research, supported by a rich bibliography for further exploration.
Communicating the Quantum Way
The book consists of scientific essays dedicated to A S Holevo on the occasion of his 80th birthday, written by prominent researchers in theoretical-mathematical physics. It is a snapshot of contemporary research at the frontier of quantum information science, work that builds on Holevo's pioneering contributions during the decades of his distinguished career.While a portion of the book are the 15 articles published in a special issue of IJQI, the book contains additional material such as a summary of Holevo's scientific life, with comments on research directions not covered in the 15 articles, and the list of his publications.
Social Impact of Ai: Research, Diversity and Inclusion Frameworks
The workshop proceedings SIAI 2025 constitutes the refereed proceedings of the fourth International Workshop on Social Impact of AI, SIAI 2025, which was held in Philadelphia, PA, USA, in March 2025. The 8 full papers, 4 short papers, and one poster presented in these proceedings were carefully reviewed and selected from 26 submissions. SIAI-ReDI 2025 centered on the development and assessment of inclusive AI frameworksthat prioritize ethical design, equitable deployment, and cultural context. The workshop'scall for papers invited submissions across a range of urgent topics, including: Algorithmic fairness and transparencyInclusive AI education and workforce strategiesAI in marginalized and underrepresented communitiesIntersectionality, gender, and accessibility in AICross-cultural AI governance and regulationPublic trust, participatory AI, and responsible design
7th Grade New Mexico Math for Beginners
New Mexico Grade 7 MathComprehensive & Aligned with New Mexico Math StandardsBuild strong math skills and boost confidence with this complete Grade 7 workbook designed for New Mexico students. Fully aligned with New Mexico College and Career Readiness Standards, this resource supports classroom instruction, homeschooling, and independent study, while providing focused practice for the NM-MSSA (New Mexico Measures of Student Success and Achievement) math assessment.Inside, students will find clear, step-by-step lessons covering essential Grade 7 topics such as ratios, proportional relationships, expressions, equations, geometry, and data analysis. Real-world examples and NM-MSSA-style practice questions throughout help students sharpen problem-solving skills and prepare effectively for test day.✔️ Covers all key Grade 7 New Mexico math standards ✔️ Includes NM-MSSA-style practice problems for targeted test prep ✔️ Ideal for homeschoolers, tutors, and classroom learners ✔️ Supports independent study with clear explanations and review sectionsWhether used for ongoing learning or focused NM-MSSA prep, this workbook guides New Mexico students to math success with confidence.Mathfa - Trusted by families, recommended by educators.
Adult Math Mastery
Adult Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived!Here is everything you need to pass this tough test!Over 200 Adult Math practice questions, prepared by a dedicated team of exam experts, with Detailed answer keyMath shortcutsLinks to video tutorialsStep-by-step solutionsMath tips and tricksMultiple choice strategiesMath Practice Questions and easy-to-follow Tutorials for: Fractions, Decimals and PercentWord ProblemsBasic AlgebraBasic GeometryYou also receive: - Math Multiple-Choice Strategy- How to Study for a Math Test- How to Take a TestHere is what this Math Workbook can do for you: Learn then practice your math skills! Practice test questions are the best way to prepare for an exam and this is the book that you need to fully prepare for your math test.Practice Tests familiarize you with the exam format and types of questions, giving you more confidence when you take the exam.Practice questions allow you to practice your exam time management - a critical exam-writing skill that can easily improve your grade substantially.Practice tests reduce Test Anxiety, one of the main reasons for low marks on an exam. Hundreds of questions with detailed solutions and explanations to improve your understanding of the basic concepts behind the questions.Learn powerful multiple-choice strategies designed by exam experts! Includes tips and multiple-choice strategies to increase your score you won't find anywhere else!You can get a Great Score with the Least Amount of Studying! Study Smarter, Not Harder!Remember though, it only a few percentage points divide the PASS from the FAIL students. Even if our test tips increase your score by a few percentage points, isn't that worth it?
Love Triangle
AN INSTANT NEW YORK TIMES BESTSELLER! An ode to triangles, the shape that makes our lives possible Trigonometry is perhaps the most essential concept humans have ever devised. The simple yet versatile triangle allows us to record music, map the world, launch rockets into space, and be slightly less bad at pool. Triangles underpin our day-to-day lives and civilization as we know it. In Love Triangle, Matt Parker argues we should all show a lot more love for triangles, along with all the useful trigonometry and geometry they enable. To prove his point, he uses triangles to create his own digital avatar, survive a harrowing motorcycle ride, cut a sandwich, fall in love, measure tall buildings in a few awkward bounds, and make some unusual art. Along the way, he tells extraordinary and entertaining stories of the mathematicians, engineers, and philosophers--starting with Pythagoras--who dared to take triangles seriously. This is the guide you should have had in high school--a lively and definitive answer to "Why do I need to learn about trigonometry?" Parker reveals triangles as the hidden pattern beneath the surface of the contemporary world. Like love, triangles actually are all around. And in the air. And they're all you need.
The Mathematicians' Library
Discover the story of mathematics like never before with The Mathematicians' Library, an extraordinary collection that chronicles the evolution of mathematical thought and its profound impact on the world. This expertly curated anthology brings together the most influential works and authors from across history, showcasing the journey of mathematical discovery from ancient tablets to contemporary volumes.The Mathematicians' Library takes you through the pages of history, featuring groundbreaking works like Euclid's Elements, Fibonacci's Liber Abaci, Hilbert's Foundations of Geometry, and Mandelbrot's The Fractal Geometry of Nature. Each book offers a unique glimpse into how mathematics has shaped human civilization, guiding everything from transportation and commerce to art, science, and beyond.Mathematics is the invisible force that governs our daily lives, influencing everything from the weather forecasts we trust to the technology we depend on. It has been a cornerstone of human progress, evolving through centuries of research, discovery, and collaboration across cultures. This book reveals that legacy by presenting works that have changed the way we understand our world, from ancient knowledge inscribed on clay tablets, the contributions of Babylonian, Greek, Roman, Chinese, Islamic, and Maya scholars, The Mathematicians' Library offers unparalleled access to the greatest minds in mathematics--Plato, Pythagoras, Euclid, Hypatia, Galileo, Einstein, and more.The Mathematicians' Library is more than just a collection; it's a journey through the intellectual milestones that have defined our understanding of the world. Whether you're a scholar, a history enthusiast, or simply curious about the forces that shape our lives, this collection will captivate and inspire. Unlock the secrets of mathematics and discover the brilliance behind the numbers that rule our world. Table of contents: IntroductionThe Origins of MathematicsPrehistoricThe Global Evolution of Mathematics (Babylon, Egypt, Greece, Rome, China, India, Islam, Maya, Medieval Europe)The Scientific RevolutionModern MathematicsThe FutureBibliographyIndex
Model Theory, Computer Science, and Graph Polynomials
This festschrift honors Johann A. Makowsky on the occasion of his 75th birthday. Gathering 24 research articles authored by scientific companions, friends, and colleagues, it covers a broad variety of areas to which Johann A. Makowsky made significant contributions himself. These include several areas of mathematical logic and its relevance for Computer Science including Graph polynomials, Algorithms for graph invariants, Algorithms and descriptive complexity theory, complexity of real and algebraic computations, Mathematical logic, Model theory, Design and theory of databases, Logic in computer science and AI and Logic programming. The volume is enriched with 4 biographical essays, and two contributions by the celebrant himself.
Data Clustering with Python
Data clustering, an interdisciplinary field with diverse applications, has gained increasing popularity since its origins in the 1950s. Over the past six decades, researchers from various fields have proposed numerous clustering algorithms. In 2011, I wrote a book on implementing clustering algorithms in C++ using object-oriented programming. While C++ offers efficiency, its steep learning curve makes it less ideal for rapid prototyping. Since then, Python has surged in popularity, becoming the most widely used programming language since 2022. Its simplicity and extensive scientific libraries make it an excellent choice for implementing clustering algorithms.Features: Introduction to Python programming fundamentals Overview of key concepts in data clustering Implementation of popular clustering algorithms in Python Practical examples of applying clustering algorithms to datasets Access to associated Python code on GitHub This book extends my previous work by implementing clustering algorithms in Python. Unlike the object-oriented approach in C++, this book uses a procedural programming style, as Python allows many clustering algorithms to be implemented concisely. The book is divided into two parts: the first introduces Python and key libraries like NumPy, Pandas, and Matplotlib, while the second covers clustering algorithms, including hierarchical and partitional methods. Each chapter includes theoretical explanations, Python implementations, and practical examples, with comparisons to scikit-learn where applicable.This book is ideal for anyone interested in clustering algorithms, with no prior Python experience required. The complete source code is available at: https: //github.com/ganml/dcpython.
An Invitation to Real Analysis
Adopting a student-cantered approach, this book anticipates and addresses the common challenges that students face when learning abstract concepts like limits, continuity, and inequalities.
