Mathematical Questions and Solutions, From the "Educational Times"; Volume XXXVI
Arithmetical Problems
This classic text by Erastus Wentworth offers a comprehensive collection of arithmetic problems for students at all levels. With clear explanations and step-by-step solutions, Wentworth guides readers through the fundamentals of mathematical problem-solving, helping them develop the skills and confidence they need for success.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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Integral Equations and Integral Transforms
This comprehensive textbook on linear integral equations and integral transforms is aimed at senior undergraduate and graduate students of mathematics and physics. The book covers a range of topics including Volterra and Fredholm integral equations, the second kind of integral equations with symmetric kernels, eigenvalues and eigen functions, the Hilbert-Schmidt theorem, and the solution of Abel integral equations by using an elementary method. In addition, the book covers various integral transforms including Fourier, Laplace, Mellin, Hankel, and Z-transforms. One of the unique features of the book is a general method for the construction of various integral transforms and their inverses, which is based on the properties of delta function representation in terms of Green's function of a Sturm-Liouville type ordinary differential equation and its applications to physical problems. The book is divided into two parts: integral equations and integral transforms.Each chapter is supplemented with numerous illustrative examples to aid in understanding. The clear and concise presentation of the topics covered makes this book an ideal resource for students, researchers, and professionals interested in the theory and application of linear integral equations and integral transforms.
Programming-Based Formal Languages and Automata Theory
This textbook introduces formal languages and automata theory for upper-level undergraduate or beginning graduate students. While it contains the traditional mathematical development usually employed in computational theory courses, it is also quite different from many of them. Machines, grammars, and algorithms developed as part of a constructive proof are intended to be rendered as programs. The book is divided into four parts that build on each other. Part I reviews fundamental concepts. It introduces programming in FSM and reviews program design. In addition, it reviews essential mathematical background on sets, relations, and reasoning about infinite sets. Part II starts the study of formal languages and automata theory in earnest with regular languages. It first introduces regular expressions and shows how they are used to write programs that generate words in a regular language. Given that regular expressions generate words, it is only natural to ask how a machine can recognize words in a regular language. This leads to the study of deterministic and nondeterministic finite-state machines. Part III starts the exploration of languages that are not regular with context-free languages. It begins with context-free grammars and pushdown automata to generate and recognize context-free languages, and it ends with a discussion of deterministic pushdown automata and illustrates why these automatons are fundamentally different from nondeterministic pushdown automata. Part IV eventually explores languages that are not context-free, known as context-sensitive languages. It starts by discussing the most powerful automaton known to mankind: the Turing machine. It then moves to grammars for context-sensitive languages, and their equivalence with Turing machines is explored. The book ends with a brief chapter introducing complexity theory and explores the question of determining if a solution to a problem is practical.
Essentials of Arithmetic
Give your child a head start in mathematics with this essential guide to arithmetic. Nina B. Glass provides clear explanations and engaging practice exercises for Grade II students, helping them to master the fundamentals of addition, subtraction, multiplication, and division. With this easy-to-use resource, your child will build a solid foundation for success in math and beyond.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. 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 Descriptive Geometry
A classic text in the field of descriptive geometry, Albert Ensign Church's book offers a masterful introduction to the principles of three-dimensional geometry and their practical applications. With clear explanations and numerous examples, this book is an invaluable resource for students and professionals alike.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. 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, Geometrical Analysis, and Plane Trigonometry
Chauvenet's Treatise On Elementary Geometry
Chauvenet's Treatise on Elementary Geometry is a classic work on the subject, offering a thorough introduction to geometric principles and their applications. With clear explanations, detailed illustrations, and a friendly writing style, this book is an excellent resource for students and professionals alike.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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Mathematical Theory of Probabilities and Its Application to Frequency Curves and Statistical Methods
This groundbreaking text provides a detailed overview of the mathematical foundations of probability theory and their applications in statistics and data analysis. With clear explanations of complex concepts and theories, this book is an essential resource for anyone working in the fields of math, science, or engineering.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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
?ber Die Entwicklung Der Elementar-Geometrie Im Xix. Jahrhundert
Structural Equation Modeling Using R/SAS
There has been considerable attention to making the methodologies of structural equation modeling available to researchers, practitioners, and students along with commonly used software. Structural Equation Modelling Using R/SAS aims to bring it all together to provide a concise point-of-reference.
Journal de Math矇matiques ?l矇mentaires
This is a French-language journal of elementary mathematics, containing articles on arithmetic, geometry, algebra, and other branches of mathematics. The journal is intended for students and teachers of mathematics at the secondary level, as well as anyone interested in the foundations of mathematics. The articles are written in a clear and concise style, making the journal accessible to a wide audience.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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Junior High School Mathematics
Theodore Lindquist's Junior High School Mathematics is a comprehensive textbook designed for students in grades 7-9. Book III covers topics such as algebraic equations, geometry, and probability theory. Filled with clear explanations and numerous worked examples, this book is an excellent resource for students looking to improve their understanding of mathematics.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. 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 Frontier's Series & Spherical, Cylindrical & Ellipsoidal Harmonics
An exploration of the mathematical principles underlying the study of harmonic functions on the sphere, cylinder, and ellipsoid, this comprehensive textbook is an essential resource for anyone interested in the frontiers of applied mathematics.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. 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 the Integral Calculus Founded on the Method of Rates or Fluxions
A classic text on the foundations of calculus by one of America's earliest mathematicians. Covers the fundamental principles of calculus and their applications in a variety of fields. Includes many concrete examples and exercises. Perfect for students and professionals in mathematics, engineering, physics, and related 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 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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Six First, Together With the Eleventh and Twelfth Books of Euclid's Elements
An Intellectual Arithmetic, Upon the Inductive Method
This book provides a comprehensive and detailed study of arithmetic, with a focus on the inductive method of reasoning. The author provides insightful commentary and analysis in a highly readable style. A must-read for educators and mathematicians.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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Goodykoontz's Perpetual Calendar and General Reference Manual. A Book for the Millions (
Jasper Goodykoontz's Perpetual Calendar and General Reference Manual is an essential tool for anyone looking to organize their time and keep track of important events. With its easy-to-use format and comprehensive reference section, this manual is a must-have for busy professionals, students, and homemakers alike. Whether you need to keep track of appointments, plan your meals for the week, or find the address of a local business, Goodykoontz's Perpetual Calendar has got you covered. Get organized today and see how much more you can accomplish with this invaluable resource at your fingertips.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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Bayesian Nonparametrics for Causal Inference and Missing Data
Bayesian nonparametric (BNP) methods can be used to flexibly model joint or conditional distributions, as well as functional relationships. These methods, along with causal and/or missingness assumptions, can be used with the g-formula to infer causal effects.
Eco-Stats: Data Analysis in Ecology
This book introduces ecologists to the wonderful world of modern tools for data analysis, especially multivariate analysis. For biologists with relatively little prior knowledge of statistics, it introduces a modern, advanced approach to data analysis in an intuitive and accessible way. The book begins by reviewing some core principles in statistics, and relates common methods to the linear model, a general framework for modeling data where the response is continuous. This is then extended to discrete data using generalized linear models, to designs with multiple sampling levels via mixed models, and to situations where there are multiple response variables via model-based approaches to multivariate analysis. Along the way there is an introduction to: important principles in model selection; adaptations of the model to handle non-linearity and cyclical variables; dependence due to structured correlation in time, space or phylogeny; and design-based techniques for inference that can relax some of the modelling assumptions. It concludes with a range of advanced topics in model-based multivariate analysis relevant to the modern ecologist, including fourth corner, latent variable and copula models. Examples span a variety of applications including environmental monitoring, species distribution modeling, global-scale surveys of plant traits, and small field experiments on biological controls. Math Boxes throughout the book explain some of the core ideas mathematically for readers who want to delve deeper, and R code is used throughout. Accompanying code, data, and solutions to exercises can be found in the ecostats R package on CRAN.
Ueber Nicht-Sph瓣rische Objektive
Linnemann's classic work on non-spherical lenses is an important text for anyone interested in optics and lens design. In this book, Linnemann explains the theory behind non-spherical lenses, and provides detailed examples of how to design different types of non-spherical lenses for different applications. This book is essential reading for anyone who wants to design high-quality lenses for cameras, microscopes, telescopes, or other optical instruments.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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Abriss Einer Theorie der Complexen Functionen und der Thetafunctionen Einer Ver瓣nderlichen
Thomae presents a concise summary of the theory of complex functions and theta functions of a variable, an important concept in mathematical analysis. The book covers topics such as series expansions, residues, and the properties of functions of complex variables.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. 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 Analytic Geometry
This textbook covers topics in analytic geometry, specifically plane geometry. It is intended for students studying mathematics and is a comprehensive introduction to the subject.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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Treatise on Algebra for the Use of Schools and Colleges
In this comprehensive textbook, Stephen Chase provides a detailed overview of algebra, from basic concepts to advanced topics. His clear explanations and rigorous approach make this book an ideal resource for students and educators seeking a deeper understanding of algebra. With numerous examples and exercises, it is an essential tool for anyone interested in mathematics and 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 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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Solutions of the Cambridge Senate-House Problems for Four Years 1848-51
Grundz羹ge Der Wahrscheinlichkeits-Rechnung
Originally published in the mid-19th century, this classic work on probability theory has stood the test of time. Hagen's clear and insightful exposition of the subject has made this book a favorite among mathematicians and students alike. Whether you are a beginner or an expert in probability theory, you will find this book to be an indispensable resource.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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Big Data Analytics
Successfully navigating the data-driven economy presupposes a certain understanding of the technologies and methods to gain insights from Big Data. This book aims to help data science practitioners to successfully manage the transition to Big Data. 　Building on familiar content from applied econometrics and business analytics, this book introduces the reader to the basic concepts of Big Data Analytics. The focus of the book is on how to productively apply econometric and machine learning techniques with large, complex data sets, as well as on all the steps involved before analysing the data (data storage, data import, data preparation). The book combines conceptual and theoretical material with the practical application of the concepts using R and SQL. The reader will thus acquire the skills to analyse large data sets, both locally and in the cloud. Various code examples and tutorials, focused on empirical economic and business research, illustrate practical techniques to handle and analyse Big Data.　　 Key Features: 　　- Includes many code examples in R and SQL, with R/SQL scripts freely provided online. 　- Extensive use of real datasets from empirical economic research and business analytics, with data files freely provided online. 　- Leads students and practitioners to think critically about where the bottlenecks are in practical data analysis tasks with large data sets, and how to address them. 　　 The book is a valuable resource for data science practitioners, graduate students and researchers who aim to gain insights from big data in the context of research questions in business, economics, and the social sciences.　
