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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 Mathematically
by Robert BlitzerThis general survey of mathematical topics helps a diverse audience, with different backgrounds and career plans, to understand mathematics. Blitzer provides the applications and technology readers need to gain an appreciation of mathematics in everyday life.
Thinking Mathematically
by Robert BlitzerStudents often struggle to find the relevance of math in their everyday lives. In Thinking Mathematically, 7th Edition, Bob Blitzer’s distinctive and relatable voice engages students in the world of math through compelling, real-world applications ― student-loan debt, time breakdown for an average NFL broadcast, and many more.
Thinking Mathematically
by Robert BlitzerIn Thinking Mathematically, Sixth Edition, Bob Blitzer's distinctive and relatable voice motivates students from diverse backgrounds and majors, engaging them in the math through compelling, real-world applications. Understanding that most students in a liberal arts math course are not math majors, and are unlikely to take another math class, Blitzer has provided tools in every chapter to help them master the material with confidence, while also showing them the beauty and fun of math. The variety of topics and flexibility of sequence make this text appropriate for a one- or two-term course in liberal arts mathematics or general education mathematics.
Thinking Probabilistically: Stochastic Processes, Disordered Systems, and Their Applications
by Ariel AmirProbability theory has diverse applications in a plethora of fields, including physics, engineering, computer science, chemistry, biology and economics. This book will familiarize students with various applications of probability theory, stochastic modeling and random processes, using examples from all these disciplines and more. The reader learns via case studies and begins to recognize the sort of problems that are best tackled probabilistically. The emphasis is on conceptual understanding, the development of intuition and gaining insight, keeping technicalities to a minimum. Nevertheless, a glimpse into the depth of the topics is provided, preparing students for more specialized texts while assuming only an undergraduate-level background in mathematics. The wide range of areas covered - never before discussed together in a unified fashion – includes Markov processes and random walks, Langevin and Fokker–Planck equations, noise, generalized central limit theorem and extreme values statistics, random matrix theory and percolation theory.
Thinking Strategically in Turbulent Times: An Inside View of Strategy Making
by Alan M. Glassman Deonne Zell Shari DuronAn emergent approach to organizational strategy making assumptions that few organizations actually realize the goal of deliberative, top-down strategic planning, and that effective strategy making occurs on a continual basis and is a shared activity of the entire organization. This innovative book provides the first in-depth look at how real organizations are formulating and implementing strategic change under this new paradigm. The authors have dug deep into three large and varied organizations (Hewlett-Packard, the California State University system, and the County of Los Angeles) and identified each one's efforts to develop a new strategic planning process better-suited to match the current pace of change and environmental unpredictability. The book is filled with vignettes, quotes, and real-world examples that illustrate the trend toward faster, more adaptive strategic planning processes. It is relevant for a wide range of business, governmental, and non-profit settings, and should be required reading in any course on strategic planning.
Thinking Through Statistics
by John Levi MartinSimply put, Thinking Through Statistics is a primer on how to maintain rigorous data standards in social science work, and one that makes a strong case for revising the way that we try to use statistics to support our theories. But don’t let that daunt you. With clever examples and witty takeaways, John Levi Martin proves himself to be a most affable tour guide through these scholarly waters. Martin argues that the task of social statistics isn't to estimate parameters, but to reject false theory. He illustrates common pitfalls that can keep researchers from doing just that using a combination of visualizations, re-analyses, and simulations. Thinking Through Statistics gives social science practitioners accessible insight into troves of wisdom that would normally have to be earned through arduous trial and error, and it does so with a lighthearted approach that ensures this field guide is anything but stodgy.
Thinking With Mathematical Models: Linear and Inverse Variation (Texas)
by Glenda Lappan James T. Fey William M. Fitzgerald Susan N. Friel Elizabeth Difanis PhillipsNIMAC-sourced textbook
Thinking With Mathematical Models, Linear and Inverse Variation
by Glenda Lappan James T. Fey William M. Fitzgerald Susan N. Friel Elizabeth Difanis PhillipsNIMAC-sourced textbook
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 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 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.
The Thirteen Books of the Elements (Dover Books on Mathematics #1)
by EuclidThis is the definitive edition of one of the very greatest classics of all time — the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath encompasses almost 2,500 years of mathematical and historical study upon Euclid.This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the Elements, plus a critical apparatus that analyzes each definition, postulate, and proposition in great detail. It covers textual and linguistic matters; mathematical analyses of Euclid’s ideas; classical, medieval, Renaissance, modern commentators; refutations, supports, extrapolations, reinterpretations, and historical notes, all given with extensive quotes.“The textbook that shall really replace Euclid has not yet been written and probably never will be.” — Encyclopaedia Britannica.Volume 1. 151-page Introduction: life and other works of Euclid; Greek and Islamic commentators; surviving mss., scholia, translations; bases of Euclid’s thought. Books I and II of the Elements, straight lines, angles, intersection of lines, triangles, parallelograms, etc.
The Thirteen Books of the Elements: Books Iii-ix (classic Reprint) (Dover Books on Mathematics #2)
by EuclidThis is the definitive edition of one of the very greatest classics of all time — the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath encompasses almost 2,500 years of mathematical and historical study upon Euclid.This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the Elements, plus a critical apparatus that analyzes each definition, postulate, and proposition in great detail. It covers textual and linguistic matters; mathematical analyses of Euclid’s ideas; classical, medieval, Renaissance, modern commentators; refutations, supports, extrapolations, reinterpretations, and historical notes, all given with extensive quotes. Volume 1. 151-page Introduction: life and other works of Euclid; Greek and Islamic commentators; surviving mss., scholia, translations; bases of Euclid’s thought. Books I and II of the Elements, straight lines, angles, intersection of lines, triangles, parallelograms, etc.Volume 2. Books III-IX: Circles, tangents, segments, figures described around and within circles, rations, proportions, magnitudes, polygons, prime numbers, products, plane and solid numbers, series of rations, etc.Volume 3. Books X to XIII: planes, solid angles, etc.; method of exhaustion in similar polygons within circles, pyramids, cones, cylinders, spheres, etc. Appendix: Books XIV, XV, sometimes ascribed to Euclid.
The Thirteen Books of the Elements, Vol. 3 (Dover Books on Mathematics #3)
by EuclidThis is the definitive edition of one of the very greatest classics of all time—the full Euclid, not an abridgement. Utilizing the text established by Heiberg, Sir Thomas Heath encompasses almost 2500 years of mathematical and historical study upon Euclid.This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the Elements, plus a critical apparatus which analyzes each definition, postulate, and proposition in great detail. It covers textual and linguistic matters; mathematical anayses of Euclid's ideas; classical, medieval, Renaissance, modern commentators; refutations, supports, extrapolations, reinterpretations, and historical notes, all given with extensive quotes.
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' Calculus: Early Transcendentals, Single Variable (Thirteenth Edition)
by George B. Thomas Maurice D. Weir 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' Calculus Early Transcendentals (10th Edition, Part I)
by George Brinton Thomas Ross L. Finney 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 George B. Thomas Maurice D. Weir Joel HassThis text is designed for the single variable component of a three-semester or four-quarter calculus course (math, engineering, and science majors).
Thomas' Calculus (Thirteenth Edition)
by George B. Thomas Maurice D. Weir Joel HassThomas’ 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-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.
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.
The Thoreau You Don't Know: What the Prophet of Environmentalism Really Meant
by Robert SullivanRobert Sullivan, the New York Times bestselling author of Rats and Cross Country, delivers a revolutionary reconsideration of Henry David Thoreau for modern readers of the seminal transcendentalist. Dispelling common notions of Thoreau as a lonely eccentric cloistered at Walden Pond, Sullivan (whom the New York Times Book Review calls “an urban Thoreau”) paints a dynamic picture of Thoreau as the naturalist who founded our American ideal of “the Great Outdoors;” the rugged individual who honed friendships with Ralph Waldo Emerson and other writers; and the political activist who inspired Martin Luther King, Jr., Mahatma Gandhi, and other influential leaders of progressive change. You know Thoreau is one of America’s legendary writers…but the Thoreau you don’t know may be one of America’s greatest heroes.