Practical Guide to Chip-Seq Data Analysis
Chromatin immunoprecipitation sequencing (ChIP-seq) is amongst the most widely used methods in molecular biology. This practical book guides experimental biologists and bioinformaticians through the points one needs to consider when designing such a study and the analysis steps from quality control to visualisation.
Fractional Signals and Systems
The book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. Both time and frequency analysis are presented. Some advanced topics are included like derivatives of stochastic processes. It is an essential reference for researchers in mathematics, physics, and engineering.
Pepperdine Papers on Linear Temporal Logic
This book, Pepperdine Papers on Linear Temporal Logic, documents the research conducted over many years at Pepperdine University culminating in the recent publication of: J. Stanley Warford, David Vega, and Scott M. Staley. 2020. A Calculational Deductive System for Linear Temporal Logic. ACM Comput. Surv. 53, 3, Article 53 (June 2020), 38 pages, https: //doi.org/10.1145/3387109 which is freely available for download from the link given above. This book was written with three goals in mind. First, to make the complete documentation of this work widely accessible to engineers and scientists working in this, and related fields. Due to publication page limitations only a small sample of the results of this work could be published in the ACM Computing Surveys article. Second, to update the reader on additional new results that were completed subsequent to the submission of the article to the peer-review process. And, third, to report on related supporting work that was conducted using the automated theorem proving software, ACL2, to confirm a significant number of the calculational proofs. Our hope is that together, the ACM article and this book, can be a significant resource for students and researchers working on LTL specification of reactive and concurrent systems. The audience for this book, Pepperdine Papers on Linear Temporal Logic, includes university students at the undergraduate and graduate levels in computer science, mathematics, software engineering and systems design. This book may also be of interest to practicing professionals and educators in both industry and academia.
Skew Pbw Extensions
This monograph is devoted to a new class of non-commutative rings, skew Poincar矇-Birkhoff-Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW extensions from a matrix point of view. To make this theory constructive, the theory of Gr繹bner bases of left (right) ideals and modules for bijective skew PBW extensions is developed. For example, syzygies and the Ext and Tor modules over these rings are computed. Finally, applications to some key topics in the noncommutative algebraic geometry of quantum algebras are given, including an investigation of semi-graded Koszul algebras and semi-graded Artin-Schelter regular algebras, and the noncommutative Zariski cancellation problem. The book is addressed to researchers in noncommutative algebra and algebraic geometry as well as to graduate students and advanced undergraduate students.
Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic
This book deals with the prediction of possible future scenarios concerning the COVID-19 pandemic. Based on the well-known SIR model by Kermack and McKendrick a compartment model is established. This model comprises its own assumptions, transition rates and transmission dynamics, as well as a corresponding system of ordinary differential equations. Making use of numerical methods and a nonstandard-finite-difference scheme, two submodels are implemented in Matlab in order to make parameter estimations and compare different scenarios with each other.
Informatics and Machine Learning
Informatics and Machine Learning Discover a thorough exploration of how to use computational, algorithmic, statistical, and informatics methods to analyze digital data Informatics and Machine Learning: From Martingales to Metaheuristics delivers an interdisciplinary presentation on how analyze any data captured in digital form. The book describes how readers can conduct analyses of text, general sequential data, experimental observations over time, stock market and econometric histories, or symbolic data, like genomes. It contains large amounts of sample code to demonstrate the concepts contained within and assist with various levels of project work. The book offers a complete presentation of the mathematical underpinnings of a wide variety of forms of data analysis and provides extensive examples of programming implementations. It is based on two decades worth of the distinguished author's teaching and industry experience. A thorough introduction to probabilistic reasoning and bioinformatics, including Python shell scripting to obtain data counts, frequencies, probabilities, and anomalous statistics, or use with Bayes' rule An exploration of information entropy and statistical measures, including Shannon entropy, relative entropy, maximum entropy (maxent), and mutual information A practical discussion of ad hoc, ab initio, and bootstrap signal acquisition methods, with examples from genome analytics and signal analytics Perfect for undergraduate and graduate students in machine learning and data analytics programs, Informatics and Machine Learning: From Martingales to Metaheuristics will also earn a place in the libraries of mathematicians, engineers, computer scientists, and life scientists with an interest in those subjects.
Artificial Intelligence and Causal Inference
Artificial Intelligence and Causal Inference address the recent development of relationships between artificial intelligence (AI) and causal inference. Despite significant progress in AI, a great challenge in AI development we are still facing is to understand mechanism underlying intelligence, including reasoning, planning and imagination.
Lower Level ISEE Test Prep
Test Prep Books' Lower Level ISEE Test Prep: Math, Reading, Vocabulary, and Verbal Study Guide with Practice Questions for the Independent School Entrance Exam [5th Edition] Made by Test Prep Books experts for test takers trying to achieve a great score on the ISEE Lower exam This comprehensive study guide includes: Quick Overview Find out what's inside this guide!Test-Taking Strategies Learn the best tips to help overcome your exam!Introduction Get a thorough breakdown of what the test is and what's on it!Study Prep Plan for the ISEE Lower ExamSubarea I-Verbal Reasoning Synonyms, and Sentence CompletionSubarea II-Quantitative Reasoning and Math Achievement Numbers and Operations, Algebra, Geometry. Measurement, and Data Analysis and Probability, Subarea III-Reading ComprehensionSubarea IV-Writing the EssayPractice Questions Practice makes perfect!Detailed Answer Explanations Figure out where you went wrong and how to improve!Studying can be hard. We get it. That's why we created this guide with these great features and benefitsComprehensive Review: Each section of the test has a comprehensive review created by Test Prep Books that goes into detail to cover all of the content likely to appear on the test.ISEE Lower Practice Test Questions: We want to give you the best practice you can find. That's why the Test Prep Books practice questions are as close as you can get to the actual test.Answer Explanations: Every single problem is followed by an answer explanation. We know it's frustrating to miss a question and not understand why. The answer explanations will help you learn from your mistakes. That way, you can avoid missing it again in the future.Test-Taking Strategies: A test taker has to understand the material that is being covered and be familiar with the latest test taking strategies. These strategies are necessary to properly use the time provided. They also help test takers complete the test without making any errors. Test Prep Books has provided the top test-taking tips.Customer Service: We love taking care of our test takers. We make sure that you interact with a real human being when you email your comments or concerns.Anyone planning to take this exam should take advantage of this Test Prep Books study guide. Purchase it today to receive access to: ISEE Lower review materialsISEE Lower practice test questionsTest-taking strategies
Math Mammoth Grade 1 Tests & Cumulative Reviews
This book has gray-scale interior pages. It includes the chapter tests, end-of-the-year test, and cumulative reviews for Math Mammoth grade 1 complete curriculum. (This book does not include the answers.)
Math Mammoth Grade 1-A Worktext
This book has gray-scale interior pages.Math Mammoth Grade 1-A is the student worktext for the first half of grade 1 mathematics studies, as part of the Math Mammoth Grade 1 curriculum. It covers addition within 0-10, subtraction within 0-10, and place value within 0-100.
SAS(R) Software Companion for Sampling
This manual contains information for using SAS(R)software with the examples in the textbook Sampling: Design and Analysis, 3rd edition by Sharon L. Lohr. The survey design and analysis procedures in SAS/STAT(R) software provide a powerful platform for selecting samples and performing any analysis you would care to do with survey data.
Making Musical Time
This book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture. It surveys the literature of time in mathematics, philosophy, psychology, music theory, and somatic studies (medicine and disability studies) and looks ahead through original research in performance, composition, psychology, and education. It is the first monograph solely devoted to the theory of construction of musical time since Kramer in 1988, with new insights, mathematical precision, and an expansive global and historical context.The mathematical methods applied for the construction of musical time are totally new. They relate to category theory (projective limits) and the mathematical theory of gestures. These methods and results extend the music theory of time but also apply to the applied performative understanding of making music. In addition, it is the very first approach to a constructive theory of time, deduced from the recent theory of musical gestures and their categories.Making Musical Time is intended for a wide audience of scholars with interest in music. These include mathematicians, music theorists, (ethno)musicologists, music psychologists / educators / therapists, music performers, philosophers of music, audiologists, and acousticians.
An Introduction to Chaotic Dynamical Systems
This widely used graduate text introduces modern topics in dynamical systems. The author includes new material on complex dynamics leading to key revisions. Striking color photos illustrating both Julia and Mandelbrot sets are included. This book assumes no prior acquaintance with advanced mathematical topics.
Foundations of Statistics for Data Scientists
Foundations of Statistics for Data Scientists: With R and Python is designed as a textbook for a one- or two-term introduction to mathematical statistics for students training to become data scientists. It is an in-depth presentation of the topics in statistical science with which any data scientist should be familiar, including probability distributions, descriptive and inferential statistical methods, and linear modeling. The book assumes knowledge of basic calculus, so the presentation can focus on "why it works" as well as "how to do it." Compared to traditional "mathematical statistics" textbooks, however, the book has less emphasis on probability theory and more emphasis on using software to implement statistical methods and to conduct simulations to illustrate key concepts. All statistical analyses in the book use R software, with an appendix showing the same analyses with Python.Key Features: Shows the elements of statistical science that are important for students who plan to become data scientists. Includes Bayesian and regularized fitting of models (e.g., showing an example using the lasso), classification and clustering, and implementing methods with modern software (R and Python). Contains nearly 500 exercises. The book also introduces modern topics that do not normally appear in mathematical statistics texts but are highly relevant for data scientists, such as Bayesian inference, generalized linear models for non-normal responses (e.g., logistic regression and Poisson loglinear models), and regularized model fitting. The nearly 500 exercises are grouped into "Data Analysis and Applications" and "Methods and Concepts." Appendices introduce R and Python and contain solutions for odd-numbered exercises. The book's website (http: //stat4ds.rwth-aachen.de/) has expanded R, Python, and Matlab appendices and all data sets from the examples and exercises.
SAS(R) Software Companion for Sampling
This manual contains information for using SAS(R)software with the examples in the textbook Sampling: Design and Analysis, 3rd edition by Sharon L. Lohr. The survey design and analysis procedures in SAS/STAT(R) software provide a powerful platform for selecting samples and performing any analysis you would care to do with survey data.
Al-Kashi's Miftah al-Hisab, Volume II
Jamshīd al-Kāshī's Miftāḥ al-Ḥisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This is the second book in a multi-volume set that finally brings al-Kāshī's groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern researchers, it changed some false assumptions about the history of certain topics in mathematics. Written as a textbook for students of mathematics, astronomy, accounting, engineering, and architecture, Miftah covers a wide range of topics in arithmetic, geometry, and algebra. By sharing al-Kāshī's most comprehensive work with a wider audience, this book will help establish a more complete history of mathematics, and extend al-Kāshī's influence into the 21st century and beyond. The book opens by briefly recounting al-Kāshī's biography, so as to situate readers in the work's rich historical context. His impressivestatus in the kingdom of Ulugh Beg is detailed, as well as his contributions to both mathematics and astronomy. As a master calculator and astronomer, al-Kāshī's calculations of 2π and sin(1⁰) were by far the most accurate for almost two centuries. His law of cosines is still studied in schools today. This translation contributes to the understanding and appreciation of al-Kāshī's esteemed place in the scientific world. A side-by-side presentation of the source manuscript--one of the oldest known copies--and the English translation is provided on each page. Detailed footnotes are also provided throughout, which will offer readers an even deeper look at the text's mathematical and historical basis. Researchers and students of the history of mathematics will find this volume indispensable in filling in a frequently overlooked time period and region. This volume will also provide anybody interested in the history of Islamic culture with an insightful look at one of the mathematical world's most neglected figures.
Texture and Colour in Image Analysis
Research in colour and texture has experienced major changes in the last few years. This book presents some recent advances in the field, specifically in the theory and applications of colour texture analysis. This volume also features benchmarks, comparative evaluations and reviews.
Introduction to the Tools of Scientific Computing
The book provides an introduction to common programming tools and methods in numerical mathematics and scientific computing. Unlike widely used standard approaches, it does not focus on any particular language but aims to explain the key underlying concepts.In general, new concepts are first introduced in the particularly user-friendly Python language and then transferred and expanded in various scientific programming environments from C / C ++, Julia and MATLAB to Maple. This includes different approaches to distributed computing.The fact that different languages are studied and compared also makes the book useful for mathematicians and practitioners trying to decide which programming language to use for which purposes.
Innovative SAP SuccessFactors Recruiting
Get creative and optimize your SAP SuccessFactors Recruiting implementation with this guide, which examines a variety of integration and automation opportunities throughout the recruiting process outside of the standard integrations.Innovative SAP SuccessFactors Recruiting walks you through the end-to-end recruiting process and highlights opportunities to create interfaces and automation at each stage using a variety of methods and tools. After a brief overview of the market demands driving growth in this area and an introduction to OData, Anand Athanur, Mark Ingram and Michael A. Wellens detail each step in the recruiting process, starting with automating and integrating requisition creation using APIs and middleware. They then explore ways of enhancing candidate attraction and experience for the initial application process. After that, they jump into automation for overall candidate selection and processing, including automation using Robotic Process Automation, Integration center, the assessment integration framework, custom OData integrations, the background check integration framework, and Business Rules. Additionally, you'll be shown onboarding optimization techniques using Intelligent Services, as well as hiring into third-party HRIS systems.After finishing this book, you will have a thorough understanding of how to utilize SAP SuccessFactors to recruit the right candidates for every position. What You Will LearnIntegrate and automate the requisition creation process in innovative ways outside of SAP documentationEnhance candidate attraction and experienceLeverage integration and automation opportunities within the application processing stageAutomate hiring into third-party HRIS systemsWho this Book ForCustomers, Consultants, and 3rd Party Vendors wishing to connect their solutions to SAP SuccessFactors Recruiting.
Coarse Geometry of Topological Groups
This book provides a general framework for doing geometric group theory for many non-locally-compact topological transformation groups that arise in mathematical practice, including homeomorphism and diffeomorphism groups of manifolds, isometry groups of separable metric spaces and automorphism groups of countable structures. Using Roe's framework of coarse structures and spaces, the author defines a natural coarse geometric structure on all topological groups. This structure is accessible to investigation, especially in the case of Polish groups, and often has an explicit description, generalising well-known structures in familiar cases including finitely generated discrete groups, compactly generated locally compact groups and Banach spaces. In most cases, the coarse geometric structure is metrisable and may even be refined to a canonical quasimetric structure on the group. The book contains many worked examples and sufficient introductory material to be accessible to beginning graduate students. An appendix outlines several open problems in this young and rich theory.
Modeling, Simulation and Optimization of Complex Processes HPSC 2018
Math Mammoth Grade 4 Skills Review Workbook
ome students benefit from spiral review, and that is exactly what Math Mammoth Grade 4 Skills Review Workbook offers! It has been designed to complement the lessons in Math Mammoth Grade 4 complete curriculum, providing spiral review of the concepts in the Grade 4 curriculum.Math Mammoth Grade 4 Skills Review Workbook is divided into chapters, which correspond to the chapters in Math Mammoth Grade 4 curriculum. It is meant to be used during the school year, alongside the main curriculum. Spiral reviewing means that after a particular concept or skill has been studied in the main curriculum, it is then reviewed repeatedly over time in several different worksheets of this book.You can choose exactly when to use the worksheets within the chapter, and how many of them to use. Not all students need all of these worksheets to help them keep their math skills fresh, so please vary the amount of worksheets you assign your student(s) according to their need.Each worksheet is designed to be one page, and includes a variety of exercises in a fun way without becoming too long and tedious.The problems and exercises in this book are completely different from any other Math Mammoth series of books.The answer key is available as a separate book.
Color Your Way to Math
This is the first volume of a mathematical series for preschoolers to grade 2. It introduces basic concepts and helps to get started with Math. This volume covers the following topics: - counting, - what is zero, - writing numbers, - selecting numbers that are larger than, or smaller than, - symmetry, multiple symmetry lines, mirror images, - vertical vs. horizontal, - patterns, - the ability to follow multi-step instructions, - finding elements in a complex image, - paying attention to two or three ideas at the same time, - identifying basic geometric shapes, - cubes, faces and orientations: top, front, right, etc. - logical operators: AND, NOT, - introducing addition: a game using paper dice, - filling data in the rows of a table, - hands on projects. Each volume takes a bite-sized approach to avoid overwhelming the student. Volumes were designed to have a size and font that is comfortable to young children. The exercises in this book were designed to reinforce focused and distributed attention, pre-attentive processing, prioritizing what is important in a task, and organizing ideas while keeping track of items located all over the page. Between the ages of 2 and 6, children benefit from extra synapses in their brain which help them learn new skills such as math and languages with ease. If these skills are neglected synaptic pruning will eliminate connections that are not being used. For children who start math at an older age, learning becomes increasingly difficult. We know from academic research that math instruction needs to begin young, which positions the parent to play a most significant role in their child's education. This book attempts to provide parents and teachers with a powerful tool to ensure cognitive changes occur that support an excellent basis for successful learning of mathematics in young children. It also helps keep abilities strong and healthy prior to, and within the first few years of entering the school system.
Math Mammoth Grade 4 Skills Review Workbook Answer Key
Math Mammoth Grade 4 Skills Review Workbook Answer Key contains the answers to Math Mammoth Grade 4 Skills Review Workbook. It also contains full solutions to some problems - in particular, most word problems and challenging problems.
Math Mammoth Grade 1 Answer Keys
Math Mammoth Grade 1 Answer Keys contains answer keys to Math Mammoth Grade 1-A and 1-B student worktexts, chapter tests, the end-of-year test, and the cumulative review lessons. This is the full-color version; in other words, the inside pages are in full color.
Color Your Way to Math
This is the third volume of a mathematical series for preschoolers to grade 2. It introduces basic concepts and helps to get started with Math. This volume covers the following topics: - linear and circular patterns, - preparing for fractions: using 1 in 4, 2 in 4, and so on, - writing and recognizing numbers, - using ordinal numbers, - using a ruler, - even and odd numbers, - paying attention to a series of instructions, - the logical operators OR, - addition, - understanding two equal sides, finding how many are missing from one side: a precursor to equations, - recognizing the net of a cube. Each volume takes a bite-sized approach to avoid overwhelming the student. Volumes were designed to have a size and font that is comfortable to young children. The exercises in this book were designed to reinforce focused and distributed attention, pre-attentive processing, prioritizing what is important in a task, and organizing ideas while keeping track of items located all over the page. Between the ages of 2 and 6, children benefit from extra synapses in their brain which help them learn new skills such as math and languages with ease. If these skills are neglected synaptic pruning will eliminate connections that are not being used. For children who start math at an older age, learning becomes increasingly difficult. We know from academic research that math instruction needs to begin young, which positions the parent to play a most significant role in their child's education. This book attempts to provide parents and teachers with a powerful tool to ensure cognitive changes occur that support an excellent basis for successful learning of mathematics in young children. It also helps keep abilities strong and healthy prior to, and within the first few years of entering the school system.
Extrapolation and Rational Approximation
This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Pad矇 approximation, orthogonal polynomials, continued fractions, Lanczos-type methods etc.; it also provides in depth discussion of the many links between these subjects.A highlight of this book is the presentation of the human side of the fields discussed via personal testimonies from contemporary researchers, their anecdotes, and their exclusive remembrances of some of the "actors." This book shows how research in this domain started and evolved. Biographies of other scholars encountered have also been included. An important branch of mathematics is described in its historical context, opening the way to new developments. After a mathematical introduction, the book contains a precise description of the mathematical landscape of these fields spanning from the 19th century to the first part of the 20th. After an analysis of the works produced after that period (in particular those of Richardson, Aitken, Shanks, Wynn, and others), the most recent developments and applications are reviewed.
Casual Calculus - Volume I: A Friendly Student Companion
Yes, this is another Calculus book. However, it fits in a niche between the two predominant types of such texts. It could be used as a textbook, albeit a streamlined one - it contains exposition on each topic, with an introduction, rationale, train of thought, and solved examples with accompanying suggested exercises. It could be used as a solution guide - because it contains full written solutions to each of the hundreds of exercises posed inside. But its best position is right in between these two extremes. It is best used as a companion to a traditional text or as a refresher - with its conversational tone, its "get right to it" content structure, and its inclusion of complete solutions to many problems, it is a friendly partner for students who are learning Calculus, either in class or via self-study.Exercises are structured in three sets to force multiple encounters with each topic. Solved examples in the text are accompanied by "You Try It" problems, which are similar to the solved examples; the students use these to see if they're ready to move forward. Then at the end of the section, there are "Practice Problems" more problems similar to the "You Try It" problems, but given all at once. Finally, each section has Challenge Problems - these lean to being equally or a bit more difficult than the others, and they allow students to check on what they've mastered.The goal is to keep the students engaged with the text, and so the writing style is very informal, with attempts at humor along the way. The target audience is STEM students including those in engineering and meteorology programs.
Computational Methods for Process Engineers
Revolutionary advances in hardware and software technology have made computer aided design and analysis a standard tool in engineering practice. While this puts a lot of power at the hands of the end user, in order to use them wisely and interpret the results correctly, the users are expected to have a sound knowledge of the relationship between the physical world and the mathematical model and that between the mathematical model and the numerical approximation. The text examines the link between the mathematical and the numerical model in a succinct manner. Numerical algorithms relevant to engineers are developed and applied to solve industrial problems.The text is intended for senior level undergraduate and first year graduate students without rigorous training in numerical analysis. The following topics are covered both in theory and practical examples.-Roots of non-linear equations.-Systems of linear algebraic equations.-Interpolation and curve fitting.-Numerical differentiation and integration.-Ordinary differential equation - initial value problems.-Ordinary differential equations - boundary value problems.-Partial differential equations.
Geometry in Our Three-Dimensional World
The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics -- from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses -- this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.
Notes on the Brown-Douglas-Fillmore Theorem
Suitable for both postgraduate students and researchers in the field of operator theory, this book is an excellent resource providing the complete proof of the Brown-Douglas-Fillmore theorem. The book starts with a rapid introduction to the standard preparatory material in basic operator theory taught at the first year graduate level course. To quickly get to the main points of the proof of the theorem, several topics that aid in the understanding of the proof are included in the appendices. These topics serve the purpose of providing familiarity with a large variety of tools used in the proof and adds to the flexibility of reading them independently.
Geometry in Our Three-Dimensional World
The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics - from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses - this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.
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.
Science and Mathematics
This book offers an engaging and comprehensive introduction to scientific theories, and the evolution of science and mathematics through the centuries.
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.
R Companion for Sampling
This manual contains information for using R software with the examples in the textbook Sampling: Design and Analysis, 3rd edition by Sharon L. Lohr.
R Companion for Sampling
This manual contains information for using R software with the examples in the textbook Sampling: Design and Analysis, 3rd edition by Sharon L. Lohr.
Multiple Imputation of Missing Data in Practice
Multiple Imputation of Missing Data in Practice: Basic Theory and Analysis Strategies provides a comprehensive introduction to the multiple imputation approach to missing data problems that are often encountered in data analysis. Over the past 40 years or so, multiple imputation has gone through rapid development in both theories and applications. It is nowadays the most versatile, popular, and effective missing-data strategy that is used by researchers and practitioners across different fields. There is a strong need to better understand and learn about multiple imputation in the research and practical community. Accessible to a broad audience, this book explains statistical concepts of missing data problems and the associated terminology. It focuses on how to address missing data problems using multiple imputation. It describes the basic theory behind multiple imputation and many commonly-used models and methods. These ideas are illustrated by examples from a wide variety of missing data problems. Real data from studies with different designs and features (e.g., cross-sectional data, longitudinal data, complex surveys, survival data, studies subject to measurement error, etc.) are used to demonstrate the methods. In order for readers not only to know how to use the methods, but understand why multiple imputation works and how to choose appropriate methods, simulation studies are used to assess the performance of the multiple imputation methods. Example datasets and sample programming code are either included in the book or available at a github site (https: //github.com/he-zhang-hsu/multiple_imputation_book). Key Features Provides an overview of statistical concepts that are useful for better understanding missing data problems and multiple imputation analysis Provides a detailed discussion on multiple imputation models and methods targeted to different types of missing data problems (e.g., univariate and multivariate missing data problems, missing data in survival analysis, longitudinal data, complex surveys, etc.) Explores measurement error problems with multiple imputation Discusses analysis strategies for multiple imputation diagnostics Discusses data production issues when the goal of multiple imputation is to release datasets for public use, as done by organizations that process and manage large-scale surveys with nonresponse problems For some examples, illustrative datasets and sample programming code from popular statistical packages (e.g., SAS, R, WinBUGS) are included in the book. For others, they are available at a github site (https: //github.com/he-zhang-hsu/multiple_imputation_book)
Multivariate Data Integration Using R
This book provides an overview of statistical and dimension reduction methods for high-throughput biological data, with a specific focus on data integration. It starts with some biological background, key concepts underlying the multivariate methods, and then covers an array of methods implemented using the mixOmics package in R.
Logic's Dilemma
To the logical realist, mathematical truths reside in the mind, independent of the brain, meaning they are discovered. Conversely, the logical nominalist argues that mathematics is a construct of the human brain. As an invention, mathematics only stipulates the use of certain symbols, much like how the rules of chess govern how the pieces can move. This book discusses realism vs. nominalism within systems of logic. In this insightful examination, The Heart of Man brilliantly exposes the current crisis in logic.
Math Girls 5
This fifth entry in the highly acclaimed Math Girls series focuses on the mathematics of ?variste Galois, the nineteenth-century wunderkind who revolutionized mathematics with work he performed while still a teenager. Mathematicians before him had discovered solutions to general second-, third-, and fourth-degree equations, but a similar "quintic formula" that would allow knowing the solutions to any fifth-degree equation had eluded mathematicians for centuries. Through his ingenious approach of bridging the worlds of groups and fields, young Galois not only showed that such a formula was impossible, he newly developed group theory and the branch of mathematics that today bears his name. Join Miruka and friends to see how Galois developed his theory, along with related topics such as geometric constructions and the angle trisection problem, derivation of the cubic formula, reducible and irreducible polynomials, group theory and field theory, symmetric polynomials, roots of unity, sets and cosets, cyclotomic polynomials, vector spaces, extension fields, and symmetric groups. The book concludes with a tour through Galois's first paper, in which he describes for the first time the necessary and sufficient conditions for a polynomial to be algebraically solved using radicals. Math Girls 5: Galois Theory has something for anyone interested in mathematics, from advanced high school to college students and educators.
Nanohertz Gravitational Wave Astronomy
Nanohertz Gravitational Wave Astronomy explores the exciting hunt for low frequency gravitational waves by using the extraordinary timing precision of pulsars.
Experimental Statistics and Data Analysis for Mechanical and Aerospace Engineers
This book develops foundational concepts in probability and statistics with primary applications in mechanical and aerospace engineering. It was designed utilizing the latest research in statistics learning and in engagement teaching practices.
Groups and Symmetry
This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. This is the second book of the set of two books on groups theory. Topics on linear transformation and linear groups, group actions on sets, Sylow's theorem, simple groups, products of groups, normal series, free groups, platonic solids, Frieze and wallpaper symmetry groups and characters of groups have been discussed in depth. Covering all major topics, this book is targeted to advanced undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
Inequalities in Geometry and Applications
This book presents the recent developments in the field of geometric inequalities and their applications. The volume covers a vast range of topics, such as complex geometry, contact geometry, statistical manifolds, Riemannian submanifolds, optimization theory, topology of manifolds, log-concave functions, Obata differential equation, Chen invariants, Einstein spaces, warped products, solitons, isoperimetric problem, Erd繹s-Mordell inequality, Barrow's inequality, Simpson inequality, Chen inequalities, and q-integral inequalities. By exposing new concepts, techniques and ideas, this book will certainly stimulate further research in the field.
Schaum’s Outline of Mathematical Methods for Business, Economics and Finance, Second Edition
The most useful tool for reviewing mathematical methods for business and economics classes--now with more content Schaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition is the go-to study guide for students enrolled in business and economics courses that require a variety of mathematical skills. No mathematical proficiency beyond the high school level is assumed, enabling students to progress at their own rate and adapt the book to their own needs. With an outline format that facilitates quick and easy review, this guide helps you understand basic concepts and get the extra practice you need to excel in business and economics courses. Schaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition supports the bestselling textbooks and is ideal study aid for classes such as Calculus for Business, Applied Calculus, Calculus for Social Sciences and Calculus for Economics. Chapters include Equations and Graphs, Functions, Systems of Equations, Linear (or Matrix) Algebra, Linear Programming, Differential Calculus, Exponential and Logarithmic Functions, Integral Calculus, Calculus of Multivariable Functions, and more. Features - NEW in this edition: Additional problems at the end of each chapter- NEW in this edition: An additional chapter on sequences and series- NEW in this edition: Three computer applications of Linear Programming in Excel- More than 1,000 fully solved problems- Outline format to provide a concise guide for study- Clear, concise explanations covers all course fundamentals- Supplements the major bestselling textbooks in economics courses- Appropriate for the following courses: Calculus for Business, Applied Calculus, Calculus for Social Sciences, Calculus for Economics
Algebra I All-In-One for Dummies
Solve for 'X' with this practical and easy guide to everything algebra A solid understanding of algebra is the key to unlocking other areas of math and science that rely on the concepts and skills that happen in a foundational Algebra class. Algebra I All-In-One For Dummies is the key! With it, you'll get everything you need to solve the mystery of Algebra I. This book proves that algebra is for everyone with straightforward, unit-based instruction, hundreds of examples and practice problems, and two quizzes for every chapter - one in the book and another (totally different!) online. From graph and word problems to the FOIL method and common algebra terminology, Algebra I All-In-One For Dummies walks you step-by-step through ALL the concepts you need to know to slay your Algebra I class. In this handy guide, you'll also: Receive instruction and tips on how to handle basic and intermediate algebraic tasks such as factoring and equation simplification Banish math anxiety forever by developing an intuitive understanding of how algebra works Get a handle on graphing problems and functions, as well as inequalities and word problems Algebra I All-In-One For Dummies is a must-read for Algebra students looking for an everything-in-one-book supplement to their coursework, as well as anyone hoping to brush up on their math before tackling a related subject, such as physics, chemistry, or a more advanced math topic.
