Math Adventures - Grade 7
Math Adventures - Grade 7: A Key to Academic Math AdvancementMath Adventures - Grade 7 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Math Adventures - Grade 2
Math Adventures - Grade 2: A Key to Academic Math AdvancementMath Adventures - Grade 2 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Math Adventures - Grade 4
Math Adventures - Grade 4: A Key to Academic Math AdvancementMath Adventures - Grade 4 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Common Core Math Workbook
8th Grade Common Core Math: Practice Workbook Practice Questions, Answers & Explanations Recommended by Teachers Ace Academic PublishingBased on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer, and free-response questions.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems and take the Common Core Standardized Exam with Confidence.
Common Core Math Workbook
Based on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer, and free-response questions.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: To practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems and take the Common Core Standardized Exam with Confidence.
Practical Uncertainty
Life is full of uncertainty, risk, opportunity, and randomness. How can we gain an edge in our decision-making?There is much that we can neither predict nor control-but we can significantly improve our odds of favorable outcomes in both work and life. By developing an intuitive understanding of risk, chance, and uncertainty, we can harness the power of the randomness all around us to positively impact our lives.After two decades of investigation, Hossein Pishro-Nik distills his personal experience, research, and feedback from students into actionable methods that will help you make more confident decisions . . . even if you've never picked up a statistics book. You'll learn: Usable Insights: Practical applications of probability, statistics, finance, information theory, and machine learningEntrepreneurial Edge: Strategies to assess risk and make smarter business decisionsThe Unexpected Link: The surprising connection between privacy and randomnessAI in the Real World: Ways to apply lessons from the world of AI to our everyday decision-makingDemystifying the Complex: Accessible explanations of powerful mathematical concepts that, until now, have not been adequately covered for all readersPractical Uncertainty is a friendly, educational manual that uses real-world insights to help you internalize essential tools for risk-taking and decision-making in unpredictable scenarios. With this coherent and approachable book, you'll gain the knowledge and intuition to master the uncertainty in your life, improve your daily habits, and increase your chances of achieving your goals.
Handbook of Statistical Methods for Randomized Controlled Trials
Statistical concepts provide scientific framework in experimental studies, including randomized controlled trials. In order to design, monitor, analyze and draw conclusions scientifically from such clinical trials, clinical investigators and statisticians should have a firm grasp of the requisite statistical concepts. The Handbook of Statistical Methods for Randomized Controlled Trials presents these statistical concepts in a logical sequence from beginning to end and can be used as a textbook in a course or as a reference on statistical methods for randomized controlled trials.Part I provides a brief historical background on modern randomized controlled trials and introduces statistical concepts central to planning, monitoring and analysis of randomized controlled trials. Part II describes statistical methods for analysis of different types of outcomes and the associated statistical distributions used in testing the statistical hypotheses regarding the clinical questions. Part III describes some of the most used experimental designs for randomized controlled trials including the sample size estimation necessary in planning. Part IV describe statistical methods used in interim analysis for monitoring of efficacy and safety data. Part V describe important issues in statistical analyses such as multiple testing, subgroup analysis, competing risks and joint models for longitudinal markers and clinical outcomes. Part VI addresses selected miscellaneous topics in design and analysis including multiple assignment randomization trials, analysis of safety outcomes, non-inferiority trials, incorporating historical data, and validation of surrogate outcomes.
Innovation Diffusion Models
Innovation Diffusion Models Understand innovation diffusion models and their role in business success Innovation diffusion models are statistical models that predict the medium- and long-term sales performance of new products on a market. They account for numerous factors that contribute to the life cycle of a new product and are subject to continuous reassessment as markets transform and the business world becomes more complex. In a modern market environment where product life cycles are becoming ever shorter, the latest innovation diffusion models are essential for businesses looking to perfect their decision-making processes. Innovation Diffusion Models: Theory and Practice provides a comprehensive and up-to-date guide to these models and their potential to impact product development. It focuses on the latest product diffusion models, which combine time series analysis with nonlinear regression techniques to create increasingly refined predictions. Its combination of mathematical theory and business practice makes it an indispensable tool across many sectors of industry and commerce. Innovation Diffusion Models readers will also find: Real-world examples demonstrating the kinds of data sets generated by new product growth models and their potential applications Discussion of the factors underlying the decision to select a given growth model for a particular product Clear, detailed explanation of each model's explanatory ability Innovation Diffusion Models is an essential volume for practitioners in any field of industry or commerce, as well as for graduate students and researchers in business and finance.
Linear Algebra
The purpose of this book is to explain linear algebra clearly for beginners. In doing so, the author states and explains somewhat advanced topics such as Hermitian products and Jordan normal forms. Starting from the definition of matrices, it is made clear with examples that matrices and matrix operation are abstractions of tables and operations of tables. The author also maintains that systems of linear equations are the starting point of linear algebra, and linear algebra and linear equations are closely connected. The solutions to systems of linear equations are found by solving matrix equations in the row-reduction of matrices, equivalent to the Gauss elimination method of solving systems of linear equations. The row-reductions play important roles in calculation in this book. To calculate row-reductions of matrices, the matrices are arranged vertically, which is seldom seen but is convenient for calculation. Regular matrices and determinants of matrices are defined and explained. Furthermore, the resultants of polynomials are discussed as an application of determinants. Next, abstract vector spaces over a field K are defined. In the book, however, mainly vector spaces are considered over the real number field and the complex number field, in case readers are not familiar with abstract fields. Linear mappings and linear transformations of vector spaces and representation matrices of linear mappings are defined, and the characteristic polynomials and minimal polynomials are explained. The diagonalizations of linear transformations and square matrices are discussed, and inner products are defined on vector spaces over the real number field. Real symmetric matrices are considered as well, with discussion of quadratic forms. Next, there are definitions of Hermitian inner products. Hermitian transformations, unitary transformations, normal transformations and the spectral resolution of normal transformations and matrices are explained. The book ends withJordan normal forms. It is shown that any transformations of vector spaces over the complex number field have matrices of Jordan normal forms as representation matrices.
A Second Course in Probability
Written by Sheldon Ross and Erol Pek繹z, this text familiarises you with advanced topics in probability while keeping the mathematical prerequisites to a minimum. Topics covered include measure theory, limit theorems, bounding probabilities and expectations, coupling and Stein's method, martingales, Markov chains, renewal theory, and Brownian motion. No other text covers all these topics rigorously but at such an accessible level - all you need is an undergraduate-level understanding of calculus and probability. New to this edition are sections on the gambler's ruin problem, Stein's method as applied to exponential approximations, and applications of the martingale stopping theorem. Extra end-of-chapter exercises have also been added, with selected solutions available.This is an ideal textbook for students taking an advanced undergraduate or graduate course in probability. It also represents a useful resource for professionals in relevant application domains, from finance to machine learning.
Mathematical Physics with Differential Equations
Traditional literature in mathematical physics is clustered around classical mechanics, especially fluids and elasticity. This book reflects the modern development of theoretical physics in the areas of field theories: classical, quantum, and gravitational, in which differential equations play essential roles and offer powerful insight. Yang here presents a broad range of fundamental topics in theoretical and mathematical physics based on the viewpoint of differential equations. The subject areas covered include classical and quantum many-body problems, thermodynamics, electromagnetism, magnetic monopoles, special relativity, gauge field theories, general relativity, superconductivity, vortices and other topological solitons, and canonical quantization of fields, for which knowledge and use of linear and nonlinear differential equations are essential for comprehension. Much emphasis is given to the mathematical and physical content offering an appreciation of the interplay of mathematics and theoretical physics from the viewpoint of differential equations. Advanced methods and techniques of modern nonlinear functional analysis are kept to a minimum and each chapter is supplemented with a collection of exercises of varied depths making it an ideal resource for students and researchers alike.
Math Bridges to a Better Future
There's no available information at this time. Author will provide once information is available.
Mathematical Olympiad in China (2021-2022): Problems and Solutions
In China, many excellent students in mathematics take an active part in various mathematical contests, and each year, the best six senior high school students are selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years, China's IMO Team has achieved outstanding results -- they won first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Xiao Liang, Yu Hongbing, Yao Yijun, Qu Zhenhua, Li Ting, Ai Yinhua, Wang Bin, Fu Yunhao, He Yijie, Zhang Sihui, Wang Xinmao, Lin Tianqi, Xu Disheng, et al. Those who took part in the translation work are Chen Haoran and Zhao Wei.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: a collection of mathematical Olympiad problems (2021-2022). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
Mathematical Olympiad in China (2021-2022): Problems and Solutions
In China, many excellent students in mathematics take an active part in various mathematical contests, and each year, the best six senior high school students are selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years, China's IMO Team has achieved outstanding results -- they won first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Xiao Liang, Yu Hongbing, Yao Yijun, Qu Zhenhua, Li Ting, Ai Yinhua, Wang Bin, Fu Yunhao, He Yijie, Zhang Sihui, Wang Xinmao, Lin Tianqi, Xu Disheng, et al. Those who took part in the translation work are Chen Haoran and Zhao Wei.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: a collection of mathematical Olympiad problems (2021-2022). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
Algebraic Combinatorics and the Monster Group
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Math Bridges to a Better Future
There's no available information at this time. Author will provide once information is available.
Time Series
Focusing on Bayesian approaches and computations using analytic and simulation-based methods for inference, Time Series: Modeling, Computation, and Inference, Second Edition integrates mainstream approaches for time series modeling with significant recent developments in methodology and applications of time series analysis. It encompasses a graduate-level account of Bayesian time series modeling, analysis and forecasting, a broad range of references to state-of-the-art approaches to univariate and multivariate time series analysis, and contacts research frontiers in multivariate time series modeling and forecasting. It presents overviews of several classes of models and related methodology for inference, statistical computation for model fitting and assessment, and forecasting. It explores the connections between time- and frequency-domain approaches and develop various models and analyses using Bayesian formulations and computation, including use of computations based on Markov chain Monte Carlo (MCMC) and sequential Monte Carlo (SMC) methods. It illustrates the models and methods with examples and case studies from a variety of fields, including signal processing, biomedicine, environmental science, and finance. Along with core models and methods, the book represents state-of-the art approaches to analysis and forecasting in challenging time series problems. It also demonstrates the growth of time series analysis into new application areas in recent years, and contacts recent and relevant modeling developments and research challenges. New in the second edition: Expanded on aspects of core model theory and methodology. Multiple new examples and exercises. Detailed development of dynamic factor models. Updated discussion and connections with recent and current research frontiers.
Textbook on Ordinary Differential Equations
Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a vital role for differential equations in studying the behavior of different types of real-world problems. Thus, it becomes crucial to know the existence and uniqueness properties of differential equations and various methods of finding differential equation solutions in explicit form. It is also essential to know different kinds of differential equations in terms of eigenvalues, termed eigenvalue problems, and some special functions used in finding the solution to differential equations. The study of nonlinear problems also plays a significant role in different real-world situations. There is a necessity to know the behavior of solutions of nonlinear differential equations. Still, there are very few forms of differential equations whose solution can be found in explicit form. For the differential equations whose solutions cannot be found in explicit form, one has to study the properties of solutions of the given differential equation to guess an approximate solution of it. This book aims to introduce all the necessary topics of differential equations in one book so that laymen can easily understand the subject and apply it in their research areas. The novel approach used in this book is the introduction of different analytical methods for finding the solution of differential equations with sufficient theorems, corollaries, and examples, and the geometrical interpretations in each topic.This textbook is intended to study the theory and methods of finding the explicit solutions to differential equations, wherever possible, and in the absence of finding explicit solutions, it is intended to study the properties of solutions to the given differential equations. This book is based on syllabi of the theory of differential equations prescribed for postgraduate students of mathematics and applied mathematics in different institutions and universities of India and abroad. This book will be helpful for competitive examinations as well.
Derived Algebraic Geometry
The second edition presents schemes, simplicial sets, higher categories, model categories, derived algebraic geometry, and spectral algebraic geometry in a self-contained manner. It discusses Motives, Goodwillie Calculus, Higher Galois, Supersymmetry, and topics in physical mathematics. A new chapter on Derived Motivic Spectrais now included as is an extended introduction to Infinity Category as well as a revised chapter on Stacks.
Modern Trends in Algebra and Representation Theory
Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.
Calculus
Starting with the very basics of functions and limits, you'll explore the landscape of derivatives and integrals, and journey into the realms of sequences, series, and differential equations.Advanced topics such as multivariable calculus, vectors, and line and surface integrals, once daunting, become comprehensible under clear explanations and practical examples. Interwoven throughout are real-world applications demonstrating the relevance of calculus in fields as diverse as physics, economics, and computer science. In this book you will learn....Uniform and non-uniform accelerationVector addition and coordinate systemsApplying Newton's laws of motionUniform circular motion (including satellites)Work, power, and conservation of energyCenter of mass, collisions, and rocketsThorough coverage of rotationThis is a simple and student friendly book which is intended to give you the cheerful mood of a coffee table book, but at the same time giving you a very essential, clear and uncluttered entry to begin your study of calculus. In simple words, this book teaches you how to do calculus rather than discuss the philosophy and underlying principles of calculus.
Math Mammoth Grade 2 Answer Keys
Math Mammoth Grade 2 Answer Keys contains answer keys to Math Mammoth Grade 2-A and 2-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.
Try It! Even More Math Problems for All
Try It! Even More Math Problems for All is the third of three collections of offbeat, open-ended problems.
Make: Trigonometry
Trigonometry has 2000-year-old roots in everyday useful endeavors, like finding the size of an object too big or far away to measure directly, or navigating from Point A to Point B. However, it is often taught very theoretically, with an emphasis on abstractions. Make: Trigonometry uses 3D printable models and readily-available physical objects like wire and cardboard tubes to develop intuition about concepts in trigonometry and basic analytic geometry. Readers will imagine the thought process of the people who invented these mathematical concepts, and can try out "math experiments" to see for themselves how ingenious ancient navigators and surveyors really were. The analytic geometry part of the book links equations to many of these intuitive concepts, which we explore through in-depth explanations of manipulative models of conic sections. This book is aimed at high school students who might be in Algebra II or Pre-Calculus. It shows the geometrical and practical sides of these topics that otherwise can drown in their own algebra. Make: Trigonometry builds on the basics of the authors' earlier book, Make: Geometry, and is intended as a bridge from that book to their Make: Calculus book. The user can read this book and understand the concepts from the photographs of 3D printable models alone. However, since many models are puzzle-like, we encourage the reader to print the models on any consumer-grade filament based 3D printer. The models are available for download in a freely-available open source repository. They were created in the free program OpenSCAD, and can be 3D printed or modified by the student in OpenSCAD to learn a little coding along the way.
The Principles and Methods of Geometrical Optics
Southall's textbook provides a comprehensive introduction to the principles and methods of geometrical optics. The book is a valuable resource for students and researchers in the fields of physics and optics and is widely regarded as a classic in the field.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.
Short, But Yet Plain Elements of Geometry
This concise guide to geometry offers a simple and accessible approach to the subject, drawing on the works of the great ancient 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.
Solid Geometry
Originally published in 1929, this textbook on solid geometry provides a clear and concise introduction to the subject, covering topics like polyhedra, cylinders, cones, and spheres. With plenty of examples and exercises to help readers gain mastery over the material, this book is a valuable resource for students and teachers 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 Plane Geometry
This comprehensive textbook covers plane geometry, including various shapes, lines, angles, and measurements. Aimed at a school-aged audience, it provides clear explanations and numerous examples to aid in understanding. Whether for classroom use or self-study, this guide is an invaluable resource for mastering the principles of plane geometry.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Spatio-Temporal Models for Ecologists
This book introduces a minimal set of principles and numerical techniques for spatio-temporal statistics that can be used to implement a wide range of real-world ecological analyses regarding animal movement, population dynamics, community composition, causal attribution, and spatial dynamics.
Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems
This monograph is devoted to the analysis and solution of singular differential games and singular $H_{\inf}$ control problems in both finite- and infinite-horizon settings. Expanding on the authors' previous work in this area, this novel text is the first to study the aforementioned singular problems using the regularization approach. After a brief introduction, solvability conditions are presented for the regular differential games and $H_{\inf}$ control problems. In the following chapter, the authors solve the singular finite-horizon linear-quadratic differential game using the regularization method. Next, they apply this method to the solution of an infinite-horizon type. The last two chapters are dedicated to the solution of singular finite-horizon and infinite-horizon linear-quadratic $H_{\inf}$ control problems. The authors use theoretical and real-world examples to illustrate the results and their applicability throughout the text, and have carefully organized the content to be as self-contained as possible, making it possible to study each chapter independently or in succession. Each chapter includes its own introduction, list of notations, a brief literature review on the topic, and a corresponding bibliography. For easier readability, detailed proofs are presented in separate subsections.Singular Linear-Quadratic Zero-Sum Differential Games and $H_{\inf}$ Control Problems will be of interest to researchers and engineers working in the areas of applied mathematics, dynamic games, control engineering, mechanical and aerospace engineering, electrical engineering, and biology. This book can also serve as a useful reference for graduate students in these area
Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications
This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, in contrast with the time-independent variant on cotangent bundles. Two parts are presented to include both geometrical theory and the applicative models: Part One: Time-dependent Hamilton Geometry and Part Two: Applications to Dynamical Systems, Economy and Theoretical Physics. The authors present 1-jet spaces and their duals as appropriate fundamental ambient mathematical spaces used to model classical and quantum field theories. In addition, the authors present dual jet Hamilton geometry as a distinct metrical approach to various interdisciplinary problems.
Vectorial Mechanics
Louis Brand's definitive guide to vectorial mechanics is essential reading for students and professionals alike. Covering topics such as force, motion, and equilibrium, this groundbreaking work provides a comprehensive and in-depth exploration of this essential field.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.
New Practical Arithmetic
This comprehensive guide to practical arithmetic provides a hands-on approach to learning the science behind numbers. With a focus on induction and other logical techniques, as well as a wide range of practical examples and exercises, this book is an invaluable resource for students and teachers 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 Algebra
A classic text on algebra, Davies' book is an essential resource for anyone studying the subject. Covering everything from basic principles to advanced techniques, the book is designed to help readers develop a deep understanding of algebra and its applications. Special attention is paid to Sturm's Theorem, a powerful tool for solving equations that has important applications in fields ranging from physics to 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.
Mathematical Models in Economics
Mathematical Models in Economics: An Introduction equips economics students with the foundational knowledge in mathematical models and concepts they need to transition from beginner-level courses to intermediate-level material. The book is designed to bridge the gap between applied math and economics that students face when being confronted with calculus-based economics models for the first time. Written in an approachable and entertaining way, the book helps readers learn to use key math tools, understand a model, and interpret equations within an economics context. The book covers basic calculus, both single variable and multivariate, optimization, corner solutions, an introduction to comparative statics and duality, with some linear algebra and integration at the end. Applications of unconstrained and constrained optimization to microeconomics, macroeconomics, and econometrics demonstrate the connections between the tools shown and their uses. Throughout the text, students are provided with salient definitions, Making the Connection (to the real world) features, and Quick Check side boxes to increase their understanding of the material and to encourage application and practice of key concepts. Each chapter ends with a series of exercises to help students master the tools and hone their modeling skills.
Probability, Information, and Physics
This book deals with two main topics. The first is a theory that aims to unify the many interpretations of probability presented in the literature. The second uses this comprehensive theory of probability to answer the questions of quantum mechanics that have long been debated. The entire book proposes original solutions that several experimental cases substantiate.
Classification of Iroquoian Radicals With Subjective Pronominal Pefixes
A linguistic study of the Iroquoian languages, focusing on the classification of verbal radicals with subjective pronominal prefixes.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.
Mathematics for Shop and Drawing Students
This practical textbook is designed for students of shopwork and technical drawing who need a solid grounding in basic mathematics. It covers topics such as arithmetic, algebra, geometry, and trigonometry, with an emphasis on practical applications and problem-solving skills.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.
Cours de G矇om矇trie Cot矇e a L'usage des Candidats a L'矇cole Navale
This classic French textbook provides a clear and concise introduction to the principles of marine geometry, with a focus on their practical applications in naval navigation. Written by a seasoned sailor with decades of experience on the high seas, this book is an essential resource for anyone training to become a naval officer.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.
Mathematical Questions and Solutions, From the "Educational Times"; Volume XXXVI
This collection of mathematical puzzles and solutions from the Educational Times is a fascinating snapshot of mathematical education in the late nineteenth century. With contributions from some of the era's leading mathematicians, this book is a must-read for anyone interested in the history of mathematics 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.
Euclid's Elements
Delve into the world of classical geometry with this edition of Euclid's Elements, translated and compiled by Alexander Charles McKay and Robert Allen Thompson. Books I, II, and III provide the foundation of Euclid's system and cover basics such as geometric concepts, the circle, and constructing equilateral triangles. This edition features extensive notes and explanations to help modern readers understand Euclid's thought processes and apply his concepts to practical problems.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.
Algebraical Exercises and Problems With Elliptical Solutions
This book is a valuable resource for anyone studying algebra and looking to sharpen their problem-solving skills. The author, Hugh Mcoll, presents a series of exercises and problems with elliptical solutions that will challenge and inspire students. Each problem is carefully explained and accompanied by detailed solutions that will help students develop a deeper understanding of algebraic concepts.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.
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.
Fundamental Concwptions of Modern Mathematics Variables and Quantities
In this groundbreaking work, Richardson and Landis lay out the foundations of modern mathematics, including the concepts of variables and quantities. They provide clear explanations of the most important mathematical principles, along with practical examples and exercises. This book is a must-read for students of mathematics, physics, and 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.
Solutions of the Cambridge Senate-House Problems and Riders for the Year 1878
A collection of solutions to the mathematics problems presented to students at the University of Cambridge in 1878. This work offers a fascinating glimpse into the mathematical challenges of the time and the analytical techniques used by the era's leading scholars.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.
Complete Graded Arithmetic
Ideal for students and teachers alike, this textbook by George Edward Atwood provides a thorough introduction to arithmetic for eighth graders. The step-by-step explanations and practice problems make it easy for students to master the concepts and build their math skills.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.
Practical Descriptive Geometry
Practical Descriptive Geometry is an essential resource for anyone studying geometry and drafting. Smith's clear and concise writing style, along with numerous illustrations and diagrams, make this an accessible and illuminating text. This is a must-have for any technical library.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.
