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Thinking in Numbers: How Maths Illuminates Our Lives
by Daniel TammetThis is the book that Daniel Tammet, bestselling author and mathematical savant, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes and everyday examples, Tammet allows us to share his unique insights and delight in the way numbers, fractions and equations underpin all our lives.Inspired by the complexity of snowflakes, Anne Boleyn's sixth finger or his mother's unpredictable behaviour, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person and how we can make sense of those we love.Thinking in Numbers will change the way you think about maths and fire your imagination to see the world with fresh eyes.
Thinking in Numbers: How Maths Illuminates Our Lives
by Daniel TammetThis is the book that Daniel Tammet, bestselling author and mathematical savant, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes and everyday examples, Tammet allows us to share his unique insights and delight in the way numbers, fractions and equations underpin all our lives.Inspired by the complexity of snowflakes, Anne Boleyn's sixth finger or his mother's unpredictable behaviour, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person and how we can make sense of those we love.Thinking in Numbers will change the way you think about maths and fire your imagination to see the world with fresh eyes.(P)2013 Hodder & Stoughton
Thinking in Problems
by Alexander A. RoytvarfThis concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician's point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader's technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the reader's convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are real-life problems in engineering and technology. Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a self-study guide. Prerequisites include linear algebra and analysis.
Thinking, Drawing, Modelling: GEOMETRIAS 2017, Coimbra, Portugal, June 16–18 (Springer Proceedings in Mathematics & Statistics #326)
by Vera Viana Vítor Murtinho João Pedro XavierThis book presents a selection of papers from the International Conference Geometrias’17, which was hosted by the Department of Architecture at the University of Coimbra from 16 to 18 June 2017. The Geometrias conferences, organized by Aproged (the Portuguese Geometry and Drawing Teachers’ Association), foster debate and exchange on practical and theoretical research in mathematics, architecture, the arts, engineering, and related fields.Geometrias’17, with the leitmotif “Thinking, Drawing, Modelling”, brought together a group of recognized experts to discuss the importance of geometric literacy and the science of representation for the development of scientific and technological research and professional practices. The 12 peer-reviewed papers gathered here show how geometry, drawing, stereotomy, and the science of representation are still at the core of every act leading to the conception and materialization of form, and highlight their continuing relevance for scholars and professionals in the fields of architecture, engineering, and applied mathematics.
Third Grade Math With Confidence Student Workbook Part B (Math With Confidence Ser. #0)
by Kate SnowLearn third-grade math with confidence! Use Workbooks Part A and Part B to teach and reinforce the lessons in the Third Grade Math with Confidence Instructor Guide. Use Workbooks Part A and Part B to teach and reinforce the lessons in the Third Grade Math with Confidence Instructor Guide. These colorful, whimsical pages support you in your teaching and give your child written practice with new concepts and review of previously-learned skills. - Lesson activity pages include visual aids, real-world examples, and game boards to simplify your teaching - Practice pages provide written practice with new skills - Review pages ensure students retain what they’ve learned and master essential skills - Unit Wrap-Ups at the end of each unit provide review and assessment You’ll use Workbook Part A for Units 1-8, and Workbook Part B for Units 9-16. Together with the Instructor Guide, these books provide a full year of thorough and engaging math instruction.
Third Grade Math with Confidence Instructor Guide (Math with Confidence #0)
by Kate SnowThis scripted, open-and-go program from math educator Kate Snow will give you the tools you need to teach math with confidence–even if you’ve never taught math before. Engaging, hands-on lessons will help your child develop a strong understanding of math, step by step. Multiplication and division facts to 100 Adding and subtracting numbers to 10,000 Area and perimeter Adding and subtracting fractions Multi-step word problems Money, elapsed time, length, weight, capacity, and geometry Your child will develop strong math skills and a positive attitude toward math with fun activities like the Fraction Diner, the Chocolate Shop, Escape the Maze, and Division Crash. All you’ll need are this Instructor Guide, the two Student Workbooks (Part A and Part B), and simple household items (like play money, base-ten blocks, and a ruler) to make math come alive for your child. Hands-on, incremental lessons that steadily build conceptual understanding Daily review to ensure children retain what they’ve learned and master essential skills Games and pretend activities make math fun Easy to use, with clear directions and explanatory notes Delightful (and optional) enrichment lessons, with picture book recommendations and real-life math application activities
Third International Handbook of Mathematics Education
by Frederick K.S. Leung M. A. Ken Clements Alan J. Bishop Jeremy Kilpatrick Christine Keitel-KreidtThe four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives ("How did we get to where we are now?"); the middle chapters in a section analyze present-day key issues and themes ("Where are we now, and what recent events have been especially significant?"); and the final chapter in a section reflects on policy matters ("Where are we going, and what should we do?"). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.
Thirty Essays on Geometric Graph Theory
by János PachIn many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial and topological techniques have been developed to tackle these problems. Today geometric graph theory is a burgeoning field with many striking results and appealing open questions. This contributed volume contains thirty original survey and research papers on important recent developments in geometric graph theory. The contributions were thoroughly reviewed and written by excellent researchers in this field.
This Land: America, Lost and Found
by Dan BarryA landmark collection by New York Times journalist Dan Barry, selected from a decade of his distinctive "This Land" columns and presenting a powerful but rarely seen portrait of America. In the wake of Hurricane Katrina and on the eve of a national recession, New York Times writer Dan Barry launched a column about America: not the one populated only by cable-news pundits, but the America defined and redefined by those who clean the hotel rooms, tend the beet fields, endure disasters both natural and manmade. As the name of the president changed from Bush to Obama to Trump, Barry was crisscrossing the country, filing deeply moving stories from the tiniest dot on the American map to the city that calls itself the Capital of the World. Complemented by the select images of award-winning Times photographers, these narrative and visual snapshots of American life create a majestic tapestry of our shared experience, capturing how our nation is at once flawed and exceptional, paralyzed and ascendant, as cruel and violent as it can be gentle and benevolent.
Thomas Jefferson and his Decimals 1775-1810: Neglected Years in the History of U.S. School Mathematics
by M. A. Ken Clements Nerida F. EllertonThis well-illustrated book, by two established historians of school mathematics, documents Thomas Jefferson's quest, after 1775, to introduce a form of decimal currency to the fledgling United States of America. The book describes a remarkable study showing how the United States' decision to adopt a fully decimalized, carefully conceived national currency ultimately had a profound effect on U. S. school mathematics curricula. The book shows, by analyzing a large set of arithmetic textbooks and an even larger set of handwritten cyphering books, that although most eighteenth- and nineteenth-century authors of arithmetic textbooks included sections on vulgar and decimal fractions, most school students who prepared cyphering books did not study either vulgar or decimal fractions. In other words, author-intended school arithmetic curricula were not matched by teacher-implemented school arithmetic curricula. Amazingly, that state of affairs continued even after the U. S. Mint began minting dollars, cents and dimes in the 1790s. In U. S. schools between 1775 and 1810 it was often the case that Federal money was studied but decimal fractions were not. That gradually changed during the first century of the formal existence of the United States of America. By contrast, Chapter 6 reports a comparative analysis of data showing that in Great Britain only a minority of eighteenth- and nineteenth-century school students studied decimal fractions. Clements and Ellerton argue that Jefferson's success in establishing a system of decimalized Federal money had educationally significant effects on implemented school arithmetic curricula in the United States of America. The lens through which Clements and Ellerton have analyzed their large data sets has been the lag-time theoretical position which they have developed. That theory posits that the time between when an important mathematical "discovery" is made (or a concept is "created") and when that discovery (or concept) becomes an important part of school mathematics is dependent on mathematical, social, political and economic factors. Thus, lag time varies from region to region, and from nation to nation. Clements and Ellerton are the first to identify the years after 1775 as the dawn of a new day in U. S. school mathematics--traditionally, historians have argued that nothing in U. S. school mathematics was worthy of serious study until the 1820s. This book emphasizes the importance of the acceptance of decimal currency so far as school mathematics is concerned. It also draws attention to the consequences for school mathematics of the conscious decision of the U. S. Congress not to proceed with Thomas Jefferson's grand scheme for a system of decimalized weights and measures.
Thomas' Calculus (Thirteenth Edition)
by Maurice D. Weir Joel Hass George B. ThomasThomas’ Calculus, Thirteenth Edition, introduces readers to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded–always with the goal of developing technical competence while furthering readers’ appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today's learners.
Thomas' Calculus Early Transcendentals (10th Edition, Part I)
by Ross L. Finney George Brinton Thomas Maurice D. Weir Frank R. GiordanoThroughout its illustrious history, Thomas' Calculus has been used to support a variety of courses and teaching methods, from traditional to experimental. This tenth edition is a substantial revision, yet it retains the traditional strengths of the text: sound mathematics, relevant and important applications to the sciences and engineering, and excellent exercises. This flexible and modern text contains all the elements needed to teach the many different kinds of courses that exist today.
Thomas' Calculus Early Transcendentals (11th edition)
by George Brinton Thomas Maurice D. Weir Frank R. Giordano Joel HassThis 11th edition is the most comprehensive revision of Thomas' Calculus. All content in the new edition reinforces thinking among students and encourages them to have a deep understanding of the material. The book teaches the ideas of Calculus to enable students apply them in new and novel ways, first in the exercises but ultimately in their careers.
Thomas' Calculus, Early Transcendentals, Single Variable with Second-Order Differential Equations (Twelfth Edition)
by Maurice D. Weir Joel Hass George B. ThomasThis text is designed for the single variable component of a three-semester or four-quarter calculus course (math, engineering, and science majors).
Thomas' Calculus: Early Transcendentals, Single Variable (Thirteenth Edition)
by Maurice D. Weir George B. Thomas Joel R. HassALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. Packages Access codes for Pearson's MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase. Used or rental books If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code. Access codes Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase. -- This text is designed for the single-variable component of a three-semester or four-quarter calculus course (math, engineering, and science majors). Thomas' Calculus: Early Transcendentals, Single Variable, Thirteenth Edition, introduces readers to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded-always with the goal of developing technical competence while furthering readers' appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today's learners. 0321952871 / 9780321952875 Thomas' Calculus: Early Transcendentals, Single Variable plus MyMathLab with Pearson eText -- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321888545 / 9780321888549 Thomas' Calculus: Early Transcendentals, Single Variable
Thomas-Fermi Model for Mesons and Noise Subtraction Techniques in Lattice QCD (Springer Theses)
by Suman BaralThis thesis make significant contributions to both the numerical and analytical aspects of particle physics, reducing the noise associated with matrix calculations in quantum chromodynamics (QCD) and modeling multi-quark mesonic matters that could be used to investigate particles previously unseen in nature. Several methods are developed that can reduce the statistical uncertainty in the extraction of hard-to-detect lattice QCD signals from disconnected diagrams. The most promising technique beats competing methods by 1700 percent, leading to a potential decrease in the computation time of quark loop quantities by an order of magnitude. This not only increases efficiency but also works for QCD matrices with almost-zero eigenvalues, a region where most QCD algorithms break down. This thesis also develops analytical solutions used to investigate exotic particles, specifically the Thomas-Fermi quark model, giving insight into possible new states formed from mesonic matter. The main benefit of this model is that it can work for a large number of quarks which is currently almost impossible with lattice QCD. Patterns of single-quark energies are observed which give the first a priori indication that stable octa-quark and hexadeca-quark versions of the charmed and bottom Z-meson exist.
Threshold: The Crisis of Western Culture
by Thom HartmannFrom the book jacket: As the first decade of the twenty-first century closes amid economic collapse and the seeming ruin of the American Dream, Thom Hartmann's Threshold could not be more relevant. We've reached a moment of cultural reckoning. If we are to make progress toward a more stable future-- not just economically, but culturally and environmentally-- it will require a paradigm shift, an evolution in mainstream thinking.
Through Optimization of Aerospace Vehicle Trajectories by the Pontryagin Maximum Principle (Studies in Systems, Decision and Control #579)
by Alexander S. Filatyev Vyacheslav G. PetukhovThis monograph investigates the trajectory optimization problems of low- and finite-thrust aerospace vehicles and spacecraft using an indirect method based on the Pontryagin maximum principle, providing a methodological basis for the construction of numerical techniques that are superior in versatility and accuracy to direct methods. This book provides a theoretical explanation of the approaches used and also an extensive gallery of the results of practical numerical studies. The problem of boundary value problem convergence has been largely overcome, which has made it possible to practically automate the optimization of trajectories and to achieve a qualitative generalization with a number of fundamentally new results. Examples of practical optimization of branching trajectories of complex dynamics systems with finite and continual sets of branches, in deterministic and stochastic statements, with control constraints and phase constraints of various orders are demonstrated. An emphasis is placed on the consistent application of methods of numerical continuation with respect to a parameter to solve various problems in the flight mechanics of spacecraft with an electric propulsion system (EPS). The problems considered include the optimization of direct interplanetary flights of spacecraft with thrusters having limited power or limited thrust, of interplanetary flights of such spacecraft using gravity assisted maneuvers, of multi-orbit interorbital transfers of spacecraft with limited-thrust EPS. As a result, it was possible to develop a set of numerical continuation methods for solving a wide range of optimization problems for spacecraft trajectories with EPS with improved characteristics in terms of convergence and performance. This monograph also contains a description of many pitfalls in solving a wide range of problems of optimizing the trajectories of aerospace vehicles and recipes for effectively overcoming them.
Ti-84 Plus Graphing Calculator For Dummies
by Mccall EdwardsGet up-to-speed on the functionality of your TI-84 Plus calculatorCompletely revised to cover the latest updates to the TI-84 Plus calculators, this bestselling guide will help you become the most savvy TI-84 Plus user in the classroom! Exploring the standard device, the updated device with USB plug and upgraded memory (the TI-84 Plus Silver Edition), and the upcoming color screen device, this book provides you with clear, understandable coverage of the TI-84's updated operating system. Details the new apps that are available for download to the calculator via the USB cable Walks you through menus and basic arithmeticAddresses graphing and analyzing functions as well as probability and statistics functionsExplains how to use the calculator for geometryReviews communicating with PCs and other calculatorsTI-84 Plus Graphic Calculator For Dummies, 2nd Edition is the perfect solution for getting comfortable with the new line of TI-84 calculators!
Tidy Finance with Python (Chapman & Hall/CRC The Python Series)
by Stefan Voigt Christoph Frey Christoph Scheuch Patrick WeissThis textbook shows how to bring theoretical concepts from finance and econometrics to the data. Focusing on coding and data analysis with Python, we show how to conduct research in empirical finance from scratch. We start by introducing the concepts of tidy data and coding principles using pandas, numpy, and plotnine. Code is provided to prepare common open-source and proprietary financial data sources (CRSP, Compustat, Mergent FISD, TRACE) and organize them in a database. We reuse these data in all the subsequent chapters, which we keep as self-contained as possible. The empirical applications range from key concepts of empirical asset pricing (beta estimation, portfolio sorts, performance analysis, Fama-French factors) to modeling and machine learning applications (fixed effects estimation, clustering standard errors, difference-in-difference estimators, ridge regression, Lasso, Elastic net, random forests, neural networks) and portfolio optimization techniques.Key Features: Self-contained chapters on the most important applications and methodologies in finance, which can easily be used for the reader’s research or as a reference for courses on empirical finance. Each chapter is reproducible in the sense that the reader can replicate every single figure, table, or number by simply copying and pasting the code we provide. A full-fledged introduction to machine learning with scikit-learn based on tidy principles to show how factor selection and option pricing can benefit from Machine Learning methods. We show how to retrieve and prepare the most important datasets financial economics: CRSP and Compustat, including detailed explanations of the most relevant data characteristics. Each chapter provides exercises based on established lectures and classes which are designed to help students to dig deeper. The exercises can be used for self-studying or as a source of inspiration for teaching exercises.
Tidy Finance with R (Chapman & Hall/CRC The R Series)
by Stefan Voigt Christoph Scheuch Patrick WeissThis textbook shows how to bring theoretical concepts from finance and econometrics to the data. Focusing on coding and data analysis with R, we show how to conduct research in empirical finance from scratch. We start by introducing the concepts of tidy data and coding principles using the tidyverse family of R packages. We then provide the code to prepare common open source and proprietary financial data sources (CRSP, Compustat, Mergent FISD, TRACE) and organize them in a database. We reuse these data in all the subsequent chapters, which we keep as self-contained as possible. The empirical applications range from key concepts of empirical asset pricing (beta estimation, portfolio sorts, performance analysis, Fama-French factors) to modeling and machine learning applications (fixed effects estimation, clustering standard errors, difference-in-difference estimators, ridge regression, Lasso, Elastic net, random forests, neural networks) and portfolio optimization techniques. Highlights 1. Self-contained chapters on the most important applications and methodologies in finance, which can easily be used for the reader’s research or as a reference for courses on empirical finance. 2. Each chapter is reproducible in the sense that the reader can replicate every single figure, table, or number by simply copy-pasting the code we provide. 3. A full-fledged introduction to machine learning with tidymodels based on tidy principles to show how factor selection and option pricing can benefit from Machine Learning methods. 4. Chapter 2 on accessing and managing financial data shows how to retrieve and prepare the most important datasets in the field of financial economics: CRSP and Compustat. The chapter also contains detailed explanations of the most relevant data characteristics. 5. Each chapter provides exercises that are based on established lectures and exercise classes and which are designed to help students to dig deeper. The exercises can be used for self-studying or as a source of inspiration for teaching exercises.
Tidy Modeling with R: A Framework for Modeling in the Tidyverse
by Max Kuhn Julia SilgeGet going with tidymodels, a collection of R packages for modeling and machine learning. Whether you're just starting out or have years of experience with modeling, this practical introduction shows data analysts, business analysts, and data scientists how the tidymodels framework offers a consistent, flexible approach for your work.RStudio engineers Max Kuhn and Julia Silge demonstrate ways to create models by focusing on an R dialect called the tidyverse. Software that adopts tidyverse principles shares both a high-level design philosophy and low-level grammar and data structures, so learning one piece of the ecosystem makes it easier to learn the next. You'll understand why the tidymodels framework has been built to be used by a broad range of people.With this book, you will:Learn the steps necessary to build a model from beginning to endUnderstand how to use different modeling and feature engineering approaches fluentlyExamine the options for avoiding common pitfalls of modeling, such as overfittingLearn practical methods to prepare your data for modelingTune models for optimal performanceUse good statistical practices to compare, evaluate, and choose among models
Time (Math Counts: Updated Editions #6)
by Henry PluckroseAn introduction to capacity for the youngest readers!Math Counts series introduces young readers (grades K-3) to early math concepts. Real-world examples and corresponding photos make math concepts easy to grasp.Time is a measure of the hours, days, months, and years we live through.
Time Delay ODE/PDE Models: Applications in Biomedical Science and Engineering
by W.E. SchiesserTime delayed (lagged) variables are an inherent feature of biological/physiological systems. For example, infection from a disease may at first be asymptomatic, and only after a delay is the infection apparent so that treatment can begin.Thus, to adequately describe physiological systems, time delays are frequently required and must be included in the equations of mathematical models. The intent of this book is to present a methodology for the formulation and computer implementation of mathematical models based on time delay ordinary differential equations (DODEs) and partial differential equations (DPDEs). The DODE/DPDE methodology is presented through a series of example applications, particularly in biomedical science and engineering (BMSE). The computer-based implementation of the example models is explained with routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics isminimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The DPDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The example applications can first be executed to confirm the reported solutions, then extended by variation of the parameters and the equation terms, and even the forumulation and use of alternative DODE/DPDE models. • Introduces time delay ordinary and partial differential equations (DODE/DPDEs) and their numerical computer-based integration (solution) • Illustrates the computer implementation of DODE/DPDE models with coding (programming) in R, a quality, open-source scientific programming system readily available from the Internet • Applies DODE/DPDE models to biological/physiological systems through a series of examples • Provides the R routines for all of the illustrative applications through a download link • Facilitates the use of the models with reasonable time and effort on modest computers
Time Dependent Phase Space Filters: A Stable Absorbing Boundary Condition (SpringerBriefs on PDEs and Data Science)
by Minh-Binh Tran Avy Soffer Chris StucchioThis book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schrödinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schrödinger equations.Researchers who are interested in partial differential equations and mathematical physics might find this book appealing.