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Pure Mathematics 1: Advanced Level Mathematics by Hugh Neill
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The Art of Logic in an Illogical World
Eugenia Cheng - 2018
Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic--for example, emotion--is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.
Supporting Positive Behavior in Children and Teens with Down Syndrome: The Respond But Don't React Method
David Stein - 2016
Another bolts across a busy parking lot, turns and smiles at his mom. An eighteen-year-old student bursts into tears when asked to change activities at school. Sound familiar? These and other common behavior issues in children with Down syndrome can quickly become engrained and may even persist into adulthood. No parent wants that to happen, and thankfully, help is available! Dr. David Stein, a psychologist and Co-Director of the Down Syndrome Program at Boston Children's Hospital, shares his approach to behavior management in this new book for parents. Supporting Positive Behavior in Children and Teens with Down Syndrome examines how the brain of a person with Down syndrome works, how those differences impact behavior, and why bad behavior should not be viewed as a willful act. Governed by this new awareness, parents are in a better position to change and manage their child's behavior using these guiding principles: [[Be proactive, not reactive [[Be consistent [[Use visual schedules & Social Stories to direct behavior [[Develop a token reward chart [[Keep gut reactions in check [[Teach siblings to ignore bad behavior [[Learn effective disciplinary techniques [[Know when professional help is needed Some of these parenting concepts are intuitive, others are not, but when they are followed consistently, children and teens with Down syndrome do their best behaviorally and the parent-child relationship remains as positive and loving as it should be.
Systems Analysis and Design
Alan Dennis - 2002
Building on their experience as professional systems analysts and award-winning teachers, authors Dennis, Wixom, and Roth capture the experience of developing and analyzing systems in a way that students can understand and apply.With
Systems Analysis and Design, 4th edition
, students will leave the course with experience that is a rich foundation for further work as a systems analyst.
Love and Math: The Heart of Hidden Reality
Edward Frenkel - 2013
In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
Maths in Minutes: 200 Key Concepts Explained in an Instant
Paul Glendinning - 2012
Each concept is quick and easy to remember, described by means of an easy-to-understand picture and a maximum 200-word explanation. Concepts span all of the key areas of mathematics, including Fundamentals of Mathematics, Sets and Numbers, Geometry, Equations, Limits, Functions and Calculus, Vectors and Algebra, Complex Numbers, Combinatorics, Number Theory, Metrics and Measures and Topology. Incredibly quick - clear artworks and simple explanations that can be easily remembered. Based on scientific research that the brain best absorbs information visually. Compact and portable format - the ideal, handy reference.
Abstract Algebra
David S. Dummit - 1900
This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.
Essentials of Physical Anthropology
Clark Spencer Larsen - 2009
Essentials of Physical Anthropology, Third Edition, is rich with stunning and photorealistic art, thoughtful pedagogy, innovative media, and up-to-date, student-centered content that illuminate physical anthropology's most important themes.
Visual Complex Analysis
Tristan Needham - 1997
Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack ofadvanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicatedwith the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Mathematics: Its Content, Methods and Meaning
A.D. Aleksandrov - 1963
. . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science
The Poet's Companion: A Guide to the Pleasures of Writing Poetry
Kim Addonizio - 1997
The ups and downs of writing life—including self-doubt and writer's block—are here, along with tips about getting published and writing in the electronic age. On your own, this book can be your "teacher," while groups, in or out of the classroom, can profit from sharing weekly assignments.
The I Hate Mathematics Book
Marilyn Burns - 1975
It was written especially for children who have been convinced by the attitudes of adults that mathematics is (1) impossible (2) only for bright kids (3) no fun at all anyway. This book says that maths is nothing more than a way of looking at the world and that it can be relevant to everyday life (Street maths) and fun (How many sides does a banana have?). Hundreds of mathematical events, jokes, riddles, puzzles, investigations and experiments prove it!
Young Einstein: From the Doxerl Affair to the Miracle Year
L. Randles Lagerstrom - 2013
In 1905 an unknown 26-year-old clerk at the Swiss Patent Office, who had supposedly failed math in school, burst on to the scientific scene and swept away the hidebound theories of the day. The clerk, Albert Einstein, introduced a new and unexpected understanding of the universe and launched the two great revolutions of twentieth-century physics, relativity and quantum mechanics. The obscure origin and wide-ranging brilliance of the work recalled Isaac Newton’s “annus mirabilis” (miracle year) of 1666, when as a 23-year-old seeking safety at his family manor from an outbreak of the plague, he invented calculus and laid the foundations for his theory of gravity. Like Newton, Einstein quickly became a scientific icon--the image of genius and, according to Time magazine, the Person of the Century.The actual story is much more interesting. Einstein himself once remarked that “science as something coming into being ... is just as subjectively, psychologically conditioned as are all other human endeavors.” In this profile, the historian of science L. Randles Lagerstrom takes you behind the myth and into the very human life of the young Einstein. From family rifts and girlfriend troubles to financial hardships and jobless anxieties, Einstein’s early years were typical of many young persons. And yet in the midst of it all, he also saw his way through to profound scientific insights. Drawing upon correspondence from Einstein, his family, and his friends, Lagerstrom brings to life the young Einstein and enables the reader to come away with a fuller and more appreciative understanding of Einstein the person and the origins of his revolutionary ideas.About the cover image: While walking to work six days a week as a patent clerk in Bern, Switzerland, Einstein would pass by the famous "Zytglogge" tower and its astronomical clocks. The daily juxtaposition was fitting, as the relative nature of time and clock synchronization would be one of his revolutionary discoveries in the miracle year of 1905.
Our Mathematical Universe: My Quest for the Ultimate Nature of Reality
Max Tegmark - 2012
Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index
R for Data Science: Import, Tidy, Transform, Visualize, and Model Data
Hadley Wickham - 2016
This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible.
Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You’ll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you’ve learned along the way.
You’ll learn how to:
Wrangle—transform your datasets into a form convenient for analysis
Program—learn powerful R tools for solving data problems with greater clarity and ease
Explore—examine your data, generate hypotheses, and quickly test them
Model—provide a low-dimensional summary that captures true "signals" in your dataset
Communicate—learn R Markdown for integrating prose, code, and results