Mathematics Books

Book SynopsisIn 1983 Gerry Kennedy set off on a tour through Russia, China, Japan and the USA to visit others involved in the global anti-war movement. Only dimly aware of his Victorian ancestors: George Boole, forefather of the digital revolution and James Hinton, eccentric philosopher and advocate of polygamy, he had directly followed in the footsteps of two dynasties of radical thinkers and doers.Their notable achievements, in which the women were particularly prominent, involved many spheres. Boole's wife, Mary Everest, niece of George Everest, surveyor of the eponymous mountain, was an early advocate of hands-on education. Of the five talented Boole daughters, Ethel Voynich, wife of the discoverer of the enigmatic, still unexplained Voynich Manuscript, campaigned with Russian anarchists to overthrow the Tsar. Her 1897 novel The Gadfly, filmed later with music by Shostakovich, sold in millions behind the Iron Curtain. She was rumoured to have had an affair with the notorious 'Ace of Spies', Sidney Reilly. One of Ethel's sisters married Charles Howard Hinton: a leading exponent of the esoteric realm of the fourth dimension and inventor of the gunpowder baseball-pitcher.Of their descendants, Carmelita Hinton also pioneered progressive education in the USA at her school in Putney, Vermont. Her children dedicated their lives to Mao's China. Appalled by the dropping on Japan of the atomic bomb that she had helped design, Joan Hinton defected to China and actively engaged in the Cultural Revolution. William Hinton wrote the influential documentary Fanshen based on his experience in 1948 of revolutionary change in a Shanxi village. Other members of the clan became renowned in their fields of physics, entomology and botany. Their combined legacy of independent and constructive thinking is perhaps typified by the invention of the Jungle Gym: the climbing-frame now used by children the world over. In The Booles and the Hintons the author embarks on a quest to reveal the stories behind their remarkable lives.Table of ContentsContentsAcknowledgements viiiForeword ixWho's Who xii 1 GRAVY OVER A TABLECLOTH 1The author's own background in West London. 'Discovery' of the Booles, brief outline of the Boole/Hinton major characters.2 THE UGLY DUCKLING 12The Voynich Manuscript in brief: its history and research to date.3 BRINGING STARRY WISDOM DOWN 29The author's visit to Lincoln. George Boole's life and background.4 THE MISSUS 59Mary Everest Boole: her life with George Boole and her own views on life and education.5 TADPOLES INTO FROGS 83The five Boole daughters' early lives.6 THE WIZARD 89James Hinton: his life and philosophy.7 TRAPDOORS AND VELVETEEN 104Tsarist Russia in the late nineteenth century. Russian anarchists: Kropotkin and Stepniak. Charlotte Wilson and Wyldes Farm.Radical politics in England in the 1880s.8 CITIZENS' DIPLOMACY 119The author's peace politics, Moscow dissidents and journey on the Trans-Siberian railway, 1983. Ethel Boole's stay in St Petersburg, 1887-89.9 ROUND AND ROUND THE GARDEN 141James Hinton's comeuppance. Olive Schreiner and Havelock Ellis. Caroline Haddon. The Men and Women's Club.10 THE RIFF-RAFF OF RASCALDOM 153The Society of Friends of Russian Freedom. Russian anarchists and related novels of the period. London arrival of Wilfrid Voynich.11 COMMUNING WITH SPACE 170Charles Howard Hinton and the fourth dimension. His and Mary Ellen Boole's exile to Japan and the USA in 1887. Hinton'swritings and influence in Europe. Peter Ouspensky in Russia.12 THE CITADEL 197The author's visit to Warsaw. Proletariat: early Polish socialists. History of Wilfrid's escape from Siberia.13 DEAD AS MUTTON? 213Ethel Voynich's novel The Gadfly. Wilfrid Voynich establishes his book trade. Jack Raymond, another novel by Ethel.14 THE ENGLISH AUNTS 227The five Boole sisters: Mary Ellen, Margaret, Alice, Lucy and Ethel's later lives. Ethel and Ivor Gurney.15 BRINGING HOME THE BACON 247The Voynich Manuscript again. Ethel and Wilfrid in the USA.16 THE BIGGLES OF COMMUNISM 259Ethel in New York; her last novel. Ethel 're-discovered'. Scandal with the spy, Sidney Reilly.17 OLIVE AND OVOD 277The author's return to Russia via Lithuania searching for The Gadfly in Moscow and St Petersburg.18 A CQR LIFE 302The life of Cambridge scientist, Sir Geoffrey Taylor, grandson of George Boole.19 THE HINTON GENUS 314Hinton descendants in Mexico in the mining industry and their plant collecting. The life of Howard Everest Hinton, entomologist.20 UNCOLLAPSIBLE HINTONS 337The Byrdcliffe arts community, Woodstock USA. Carmelita Hinton and the setting up of Putney School, Vermont USA.21 THE GADGET 356The Manhattan Project and Joan Hinton. Hiroshima.22 PEKING JOAN 374Joan Hinton and Sid Engst in Mongolia, Si'an and Beijing during the Cultural Revolution.23 FANSHEN 398The life of Bill Hinton and the rural revolution in China. Author's visit to Long Bow village.24 THE VERMONTER 417The author returns to the USA to visit Putney School.Afterword 422Notes 427Illustration Credits 453Index 456

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Book SynopsisA differential equation involves an unknown function and its derivative. It is an important subject that lies in the heart of understanding calculus or analysis. Differential Equations For Dummies takes readers step-by-step through this intimidating subject.Table of ContentsIntroduction. Part I: Focusing on First Order Differential Equations. Chapter 1: Welcome to the World of Differential Equations. Chapter 2: Looking at Linear First Order Differential Equations. Chapter 3: Sorting Out Separable First Order Differential Equations. Chapter 4: Exploring Exact First Order Differential Equations and Euler’s Method. Part II: Surveying Second and Higher Order Differential Equations. Chapter 5: Examining Second Order Linear Homogeneous Differential Equations. Chapter 6: Studying Second Order Linear Nonhomogeneous Differential Equations. Chapter 7: Handling Higher Order Linear Homogeneous Differential Equations. Chapter 8: Taking On Higher Order Linear Nonhomogeneous Differential Equations. Part III: The Power Stuff: Advanced Techniques. Chapter 9: Getting Serious with Power Series and Ordinary Points. Chapter 10: Powering through Singular Points. Chapter 11: Working with Laplace Transforms. Chapter 12: Tackling Systems of First Order Linear Differential Equations. Chapter 13: Discovering Three Fail-Proof Numerical Methods. Part IV: The Part of Tens. Chapter 14: Ten Super-Helpful Online Differential Equation Tutorials. Chapter 15: Ten Really Cool Online Differential Equation Solving Tools. Index.

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Book SynopsisReal analysis is the section of mathematics that studies the functions of real variables such as measurements, integrations, and topology results. This new edition of the widely used analysis book continues to cover real analysis in detail.Table of ContentsMeasures. Integration. Signed Measures and Differentiation. Point Set Topology. Elements of Functional Analysis. L¯p Spaces. Radon Measures. Elements of Fourier Analysis. Elements of Distribution Theory. Topics in Probability Theory. More Measures and Integrals. Bibliography. Indexes.

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Book SynopsisGeared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.

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Book SynopsisApplication-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x, theorems on differentiation and antidifferentiation, the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Examples. 1967 edition. Solution guide available upon request.

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Book SynopsisRanging from the Ishango Bone of central Africa and the Inca quipu of South America to the dawn of modern mathematics, this book points out that human beings everywhere have been capable of advanced and innovative mathematical thinking. It shows us the deep influence that the Egyptians and Babylonians had on the Greeks.Trade ReviewPraise for Princeton's previous editions: "Enthralling... After reading it, we cannot see the past in the same comforting haze of age-old stories, faithfully and uncritically retold from teacher to pupil down the years... Invaluable for mathematics teachers at all levels."--New Scientist Praise for Princeton's previous editions: "What is valuable here is the unified approach that Joseph brings ... and the non-technical clarity that the attempt to reorder historical priorities and educate his readers out of their European prejudices requires."--Times Literary SupplementTable of ContentsPreface to the Third Edition xi Preface to the First Edition xxiii Chapter One: The History of Mathematics: Alternative Perspectives 1 A Justification for This Book 1 The Development of Mathematical Knowledge 3 Mathematical Signposts and Transmissions across the Ages 12 Chapter Two: Mathematics from Bones, Strings, and Standing Stones 30 Beginnings: The Ishango Bone 30 Native Americans and Their Mathematics 45 The Emergence of Written Number Systems: A Digression 58 Mayan Numeration 66 Chapter Three: The Beginnings of Written Mathematics: Egypt 79 The Urban Revolution and Its African Origins 79 Sources of Egyptian Mathematics 81 Number Recording among the Egyptians 84 Egyptian Arithmetic 88 Egyptian Algebra: The Beginnings of Rhetorical Algebra 102 Egyptian Geometry 109 Egyptian Mathematics: A General Assessment 119 Chapter Four: The Beginnings of Written Mathematics: Mesopotamia 125 Fleshing Out the History 125 Sources of Mesopotamian Mathematics 132 The Mesopotamian Number System 136 Babylonian Algebra 150 Babylonian Geometry 159 Chapter Five: Egyptian and Mesopotamian Mathematics: An Assessment 177 Changing Perceptions 178 Neglect of Egyptian and Mesopotamian Mathematics 181 The Babylonian-Egyptian-Greek Nexus: A Seamless Story or Three Separate Episodes? 184 Chapter Six: Ancient Chinese Mathematics 188 Background and Sources 188 The Development of Chinese Numerals 198 Chinese Magic Squares (and Other Designs) 206 Mathematics from the Jiu Zhang (Suan Shu) 215 Chapter Seven: Special Topics in Chinese Mathematics 246 The "Piling-Up of Rectangles": The Pythagorean Theorem in China 248 Estimation of p 261 Solution of Higher-Order Equations and Pascal's Triangle 270 Indeterminate Analysis in China 282 The Influence of Chinese Mathematics 296 Chinese Mathematics: A Final Assessment 301 Chapter Eight: Ancient Indian Mathematics 311 A Restatement of Intent and a Brief Historical Sketch 311 Math from Bricks: Evidence from the Harappan Culture 317 Mathematics from the Vedas 323 Early Indian Numerals and Their Development 338 Jaina Mathematics 349 Mathematics on the Eve of the Classical Period 356 Chapter Nine: Indian Mathematics: The Classical Period and After 372 Major Indian Mathematician-Astronomers 373 Indian Algebra 380 Indian Trigonometry 392 Other Notable Contributions 403 Chapter Ten: A Passage to Infinity: The Kerala Episode 418 The Actors 418 Transmission of Kerala Mathematics 435 Chapter Eleven: Prelude to Modern Mathematics: The Islamic Contribution 450 Historical Background 450 Major Medieval Islamic Mathematicians 455 Medieval Islam's Role in the Rise and Spread of Indian Numerals 461 Arithmetic in the Islamic World 466 Algebra in the Islamic World 475 Islamic Algebra and Its Influence on Europe 486 Geometry in the Islamic World 487 Trigonometry in the Islamic World 496 Mathematics from Related Sources 503 The Islamic Contribution: A Final Assessment 508 References 521 Name Index 543 Subject Index 549

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Book SynopsisMagical Mathematics reveals the secrets of fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performTrade ReviewWinner of the 2013 Euler Book Prize, Mathematical Association of America Honorable Mention for the 2012 Award for Best Professional/Scholarly Book in Popular Science & Popular Mathematics, Association of American Publishers "[F]ascinating... Magical Mathematics [is] a dazzling tour of math-based magic tricks... Lovers of recreational mathematics, and especially fans of the late Martin Gardner, who contributed the foreword, will find many pleasures in Magical Mathematics. And while exposing magic secrets in a book intended for the general public may raise hackles among some old-guard magicians, exploring the math behind these tricks will, in truth, only deepen the mystery. For, as the authors remind us, sometimes the methods are as magical as the tricks themselves."--Alex Stone, Wall Street Journal "The Riemann hypothesis, the Mandelbrot set, Fermat's last theorem--these mathematical notions and others underlie all manner of magic tricks. Mathematicians Persi Diaconis--also a card magician--and Ron Graham--also a juggler--unveil the connections between magic and math in this well-illustrated volume."--Scientific American "Writing for the public, the two authors share their passions, teaching sophisticated mathematical concepts along with interesting card tricks, which rely upon those principles for their workings."--GENII: The Conjurors' Magazine "[I]t is simply a beautiful book. The design, layout, typography, even the paper is beautiful... [T]his is one of the most fun, engaging new popular mathematics books I've seen in a long time."--The Math Less Traveled Blog "The authors are master storytellers... [T]he authors offer advice and recommendations for further pursuits in mathematics, magic and juggling."--Cut-the-Knot blog "Well known and highly respected in the mathematical community, Diaconis and Graham have produced a work that completely lives up to expectations. It contains descriptions of magic tricks as viewed by an audience, the mathematics that make them possible, and clear explanations to help you--with a little practice--amaze your friends."--Library Journal "Magical Mathematics gives readers a peek behind the velvet curtain that hides the magician's secrets... The book covers some nifty card tricks, juggling, codes and a slew of mind-bending puzzles. The book doesn't just tell you how to fool and impress your friends with parlour tricks, it explains why these tricks work, so that you can go on to devise your own--in fact, the authors challenge you to do just that. The writing is lively and the tricks are well set-up, providing newbie magicians with both points of view: what the audience sees and what the magician knows."--Montreal Gazette "Magical Mathematics is an absolutely remarkable book. I don't say this lightly. Publishers send me plenty of books to review. Some I like more than others. Magical Mathematics is a fantastic book for someone who wants to explore the non-trivial math behind some impressive magic tricks. While I enjoy purely recreational math puzzles that have no practical application I also love it when I discover challenges that are interesting and relevant. Magical Mathematics is chock full of fun (and deep) challenges that students (and adults) can sink their teeth into."--Wild About Math blog "Over 12 chapters, the reader is taken on a unique and wonderful tour that fuses magical tricks with underlying mathematical explanations and personal stories, written by world-renowned experts in both fields. With its friendly, disarming style, the book is pitched perfectly at a level that will surprise both the hardened mathematical researcher and the interested general reader, without putting either of them off... [T]his book is a must-buy."--C.J. Howls, Times Higher Education Supplement "The first chapter of this book begins by teaching a simple four-card trick and ends by presenting--complete with step-by-step color illustrations--a more complicated card trick that will truly amaze any audience. Both tricks are based on mathematical principles, and the book goes on to explain these and many other principles that can be the basis for a variety of clever magic tricks."--Games magazine "Learn the secrets behind card tricks, including step-by-step instructions for performing them, along with the mathematical ideas the tricks illustrate."--Science News "As magic books go, Magical Mathematics is erudite, thought provoking, inspiring... It is the product of multiple decades of work and research, and for a small subset of magic enthusiasts it could rank as the best book they buy this decade."--James Alan, Magicol "There is so much to digest in this book that it is impossible to describe even a fraction of it in just a few paragraphs. Let it suffice to say that if you are at all interested in card magic principles, how they work, why they work, and the history behind them, to ignore this book would be a serious mistake."--Peter Duffie, Magic magazine "From arcane theories to practical tips for working magicians, the authors go behind the curtain and reveal how the pros do it."--San Jose Mercury News "The connection between magic and mathematics has a long and intriguing history, and throughout their book Diaconis and Graham present detailed and fascinating insight into that history... Overall, the book is a wonderful introduction to this esoteric area, but has more than enough depth to entertain and enlighten the knowledgeable. Perhaps most important of all, it shows how deconstructing illusion can provide fascinating insight in the nature of reality."--Richard Wiseman, Nature Physics "Magical Mathematics strikes a nice balance between descriptions of performable magic tricks and the mathematics that makes them work. Unlike some 'mathemagic' books, in this work, Diaconis and Graham describe magic tricks that are actually used by professionals... [T]he writing is engaging, and learning the tricks that are presented is well worth the effort... This volume should find a place in any mathematics or magic library collection."--Choice "While turning the last pages, the reader is bound to feel touched and charged up and would definitely be moving in an altered direction, for this is a book that will not just leave an impression, but will also suggest which path to take next."--Shubashree Desikan, Current Science "Reading Magical Mathematics ... had ... [a] powerful effect on me. I was transported to a strange and shadowy world of card tricks and magic that, at the same time, was miraculously a land of mathematics, a land with substance... Barely ten pages into the book I am completely hooked."--John J Watkins, Mathematical Reviews "The authors have produced an invaluable contribution to the fascinating relationship between magic and mathematics... The authors exhibit a lifelong passion, enthusiasm and deep knowledge for magic and mathematics and this is an ideal combination for producing a great read... I highly recommend it to anybody interested in the mathematics behind some impressive magic."--Fiacre O. Cairbre, Irish Mathematical Society Bulletin "Mathematical Magic is a truly magical book, containing ample amounts of mathematics and magic that will amaze and amuse. Diaconis and Graham are both first-rate mathematicians and performers and offer insights and ideas that could not have been expressed by anyone else. This book is destined to be a classic on the subject."--Arthur Benjamin, SIAM "This is a splendid book with lots of wonderful insights... Give this book a try; you certainly will not be disappointed."--Phil Dyke, Leonardo Reviews "While there are other books out there detailing the relationship between mathematics and magic, this book is perhaps the best written of them all, as it will appeal to magicians, math buffs and general readers alike."--R. S. Beer, MagicBookReviews.comTable of ContentsForeword ix Preface xi Chapter 1: Mathematics in the Air 1 Royal Hummer 8 Back to Magic 15 Chapter 2: In Cycles 17 The Magic of de Bruijn Sequences 18 Going Further 25 Chapter 3: Is This Stuff Actually Good For Anything? 30 Robotic Vision 30 Making Codes 34 To the Core of Our Being 38 This de Bruijn Stuff Is Cool but Can It Get You a Job? 42 Chapter 4: Universal Cycles 47 Order Matters 47 A Mind-reading Effect 52 Universal Cycles Again 55 Chapter 5: From the Gilbreath Principle to the Mandelbrot Set 61 The Gilbreath Principle 61 The Mandelbrot Set 72 Chapter 6: Neat Shuffles 84 A Mind-reading Computer 85 A Look Inside Perfect Shuffles 92 A Look Inside Monge and Milk Shuffles 96 A Look Inside Down-and-Under Shuffles 98 All the Shuffles Are Related 99 Chapter 7: The Oldest Mathematical Entertainment? 103 The Miracle Divination 105 How Many Magic Tricks Are There? 114 Chapter 8: Magic in the Book of Changes 119 Introduction to the Book of Changes 121 Using the I Ching for Divination 122 Probability and the Book of Changes 125 Some Magic (Tricks) 127 Probability and the I Ching 136 Chapter 9: What Goes Up Must Come Down 137 Writing It Down 138 Getting Started in Juggling 145 10 Stars of Mathematical Magic (and some of the best tricks in the book) 153 Alex Elmsley 156 Bob Neale 160 Henry Christ 173 Stewart James 181 Charles Thornton Jordan 189 Bob Hummer 201 Martin Gardner 211 Chapter 11: Going further 220 Chapter 12: on secrets 225 Notes 231 Index 239

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Book SynopsisEndorsed by Cambridge Assessment International Education to provide full support for Paper 4 of the syllabus for examination from 2020.Take mathematical understanding to the next level with this accessible series, written by experienced authors, examiners and teachers.- Improve confidence as a mathematician with clear explanations, worked examples, diverse activities and engaging discussion points. - Advance problem-solving, interpretation and communication skills through a wealth of questions that promote higher-order thinking. - Prepare for further study or life beyond the classroom by applying mathematics to other subjects and modelling real-world situations.- Reinforce learning with opportunities for digital practice via links to the Mathematics in Education and Industry's (MEI) Integral platform in the Boost eBook.**To have full access to the eBook and Integral resources you must be subscribed to both Boost and Integral. To trial our eBooks and/or subscribe to Boost, visit: www.hoddereducation.com/Boost; to view samples of the Integral resources and/or subscribe to Integral, visit integralmaths.org/internationalPlease note that the Integral resources have not been through the Cambridge International endorsement process. This book covers the syllabus content for Mechanics, including forces and equilibrium, kinematics of motion in a straight line, momentum, Newton's laws of motion, and energy, work and power.

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Book SynopsisTable of ContentsPreface ix About the companion website xi Chapter 1 Understanding basic numbers 1 Chapter 2 Data display and summary 15 Chapter 3 Summary statistics for quantitative data 31 Chapter 4 Summary statistics for binary data 46 Chapter 5 Diagnostic and screening tests 61 Chapter 6 Populations and samples 78 Chapter 7 Statements of probability and confidence intervals 91 Chapter 8 P values, power, type I and type II errors 102 Chapter 9 Tests for differences between two groups of a quantitative outcome with small samples 118 Chapter 10 Tests for association in binary and categorical data 146 Chapter 11 Correlation and regression 165 Chapter 12 Survival analysis 183 Chapter 13 Modelling data 195 Chapter 14 Study design and choosing a statistical test 215 Chapter 15 Use of computer software 227 Answers to exercises 256 Glossary 268 Appendix 278 Index 279

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Book SynopsisThe most useful tool for reviewing mathematical methods for business and economics classesânow with more contentSchaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition is the go-to study guide for students enrolled in business and economics courses that require a variety of mathematical skills. No mathematical proficiency beyond the high school level is assumed, enabling students to progress at their own rate and adapt the book to their own needs. With an outline format that facilitates quick and easy review, this guide helps you understand basic concepts and get the extra practice you need to excel in business and economics courses. Schaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition supports the bestselling textbooks and is ideal study aid for classes such as Calculus for Business, Applied Calculus, Calculus for Social Sciences and Calculus for Economics. Chapt

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Book SynopsisThis volume is a collection of articles on themes related to the book Laws of Form by George Spencer-Brown. Laws of Form was first published in 1969 and brings forth a new articulation of the foundations of thought. In Laws of Form we have a mathematical formalism based on one symbol and an approach to the question how the world would appear if a distinction could be drawn. Laws of Form does not answer the question how, given nothing as a beginning, a distinction can, indeed must, inevitably take place. This second question must, in its own structure, be left to each individual thinker. Nevertheless, Laws of Form, beautifully written and content free (form is emptiness, emptiness is form) is the most powerful mathematical text on the edge of nothing that has been produced since Euclid''s Elements. These papers are a tribute to Spencer-Brown and his singular achievement.

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Book SynopsisAn authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.Table of ContentsIntroduction; Vector Spaces; Finite-Dimensional Vector Spaces; The Differential Calculus; Compactness and Completeness; Scalar Product Spaces; Differential Equations; Multilinear Functionals; Integration; Differentiable Manifolds; The Integral Calculus on Manifolds; Exterior Calculus; Potential Theory in En; Classical Mechanics.

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Book SynopsisTrade Review"This is not your father’s – or grandfather’s – standard collection of conic sections."---Jim Stein, New Books Network"Undoubtedly [this book], written in the same entertaining unmistakable style of the author and containing a lot of information - mathematical, historical and general - will attract, as the previous ones, a large audience."---S. Cobzas, Studia Mathematica"What a beautiful book!"---Jonathan Shock, Mathemafrica.org"A wonderful addition to libraries where the mathematically curious find their reading." * Choice *"Havil’s narrative for each curve is a cornucopia of fun facts and rigorous explanation."---Andrew J. Simoson, Mathematical Intelligencer"Overall, the book was a delight to read. The writing is witty and entertaining, the history is at times peculiar and surprising, and the mathematics is rich and engaging. It would make a fine addition to a classroom bookcase or home coffee table, but while there are plenty of elegant diagrams and intriguing stories to give every curious reader the chance to glimpse mathematical beauty, only those with the ability to dig beneath the surface will understand just how much beauty this book has to offer."---Samuel Hewitt, Mathematical Gazette

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Book SynopsisEverything You Need to Know about Mathematics for Science and EngineeringUpdated and expanded with new topics, The Mathematics Companion: Mathematical Methods for Physicists and Engineers, 2nd Edition presents the essential core of mathematical principles needed by scientists and engineers. Starting from the basic concepts of trigonometry, the book covers calculus, differential equations, and vector calculus. A new chapter on applications discusses how we see objects mathematically with the eye, how quantum mechanics works, and more.A Convenient, Student-Friendly Format Rich with Diagrams and Clear ExplanationsThe book presents essential mathematics ideas from basic to advanced level in a way that is useful to both students and practicing professionals. It offers a unique and educational approach that is the signature style of the author's companion books. The author explains mathematical concepts clearly, concisely, and visually, ilTrade Review"The book summarizes basic notions of mathematical methods for physicists and engineers in a schematic way. It is aimed both at science students and physicists who need a quick handy reference when they have to solve a specific mathematical problem."—Applications of Mathematics, 60, 2015Praise for the First Edition:"This is an interesting and useful little book … .it is very well done, and everything that might be expected to be there is there … . The book might also be invaluable for those undergraduate students in Mathematics, Science, or Engineering, who need to undertake first- and second-year courses in Mathematics, and it will serve those who wish to have quick access to all those formulae that seem to be so readily forgotten."—Australian Physics, March/April 2006Table of ContentsPart 1 Essential Mathematics: Basic mathematics. Differentiation. Integration. Exponentials and logarithms. Hyperbolic functions. Infinite series. Part 2 Advance Mathematics: Ordinary differential equations. Laplace transforms. Vector analysis. Partial derivatives. Multiple integrals. Fourier series. Special functions. Partial differential equations.

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Book SynopsisA new partnership of biologists and mathematicians is picking apart the hidden complexity of animals and plants to throw fresh light on the behaviour of entire organisms, how they interact and how changes in biological diversity affect the planet's ecological balance. Mathematics offers new and sometimes startling perspectives on evolution and how patterns of inheritance and population work out over time-scales ranging from millions to hundreds of years - as well as what's going on to change us right now. Ian Stewart, in characteristically clear and entertaining fashion, explores these and a whole range of pertinent issues, including how far genes control behaviour and the nature of life itself. He shows how far mathematicians and biologists are succeeding in tackling some of the most difficult scientific problems the human race has ever confronted and where their research is currently taking us.Trade ReviewStewart is Britain's most brilliant and prolific populariser of mathematics ... the book is a testament to the versatility of maths and how it is shaping our understanding of the world. -- Alex Bellos * Guardian *As always, [Stewart] explains complicated mathematical ideas brilliantly * New Scientist *A quirky look at the mathematics of biology for those who want to know about patterns on tigers, the taxonomy of lizards, alien life, and how much information in an egg is needed to make an elephant . Stewart has a lively humour and his book stretches the mind without pain. * The Times *Will this book do for biomathematics what Stephen Hawking's A Brief History of Time did for relativity and cosmology? Time will tell. Until then, the distinguished author's friendly, well-argued style should guarantee its popular success -- Chris Howls * Times Higher Education *

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Book SynopsisTrade ReviewHis book adopts a self-consciously neo-Quinean methodology, and argues that the theory that is developed helps to motivate and clarify Quine's naturalistic metaphysical picture. * MathSciNet *Table of ContentsIntroduction Chapter I. The Quinean legacy Chapter II. Propositions Chapter III. Predicates and predication Chapter IV. First-order modal logic, and a first-order theory of propositions Chapter V. Properties and relations Chapter VI. Possible worlds and possible individuals References

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Book SynopsisThis is part one of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning--the construction of the number systems and set theory--then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty lectures each.The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.The fourth edition incorporates a large number of additional corrections reported since the release of the third edition, as well as some additional new exercises.

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Book SynopsisDon''t be a square! Strengthen your geometrical skills Lots of students need extra practice to master geometry. Thankfully, there''s Geometry Workbook For Dummies. Packed with hundreds of practice problems and easy-to-understand concept explanations, this book takes a hands-on approach to showing you the geometric ropes. Inside, you''ll find a helpful review of basic terms and concepts, so you can hit the ground running when you get to the more advanced stuff. In classic Dummies style, this workbook offers easy ways to understand theorems, proofs, and other geometry fundamentals. Figure out congruent triangles, wrap your mind around angle-arc theorems, connect radii and chords, and get smart about all the core concepts of geometry. Work through hundreds of practice problems to solidify your geometry know-how Clear up any confusion with easy-to-understand explanations of all key concepts Get tips for avoiding common mistakes and improving y

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Book SynopsisThink of a number between one and ten.No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself.ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

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Book SynopsisCosmology is in crisis. The more we discover, the more puzzling the universe appears to be. How and why are the laws of nature what they are? A philosopher and a physicist, world-renowned for their radical ideas in their fields, argue for a revolution. To keep cosmology scientific, we must replace the old view in which the universe is governed by immutable laws by a new one in which laws evolve. Then we can hope to explain them. The revolution that Roberto Mangabeira Unger and Lee Smolin propose relies on three central ideas. There is only one universe at a time. Time is real: everything in the structure and regularities of nature changes sooner or later. Mathematics, which has trouble with time, is not the oracle of nature and the prophet of science; it is simply a tool with great power and immense limitations. The argument is readily accessible to non-scientists as well as to the physicists and cosmologists whom it challenges.Trade Review'It might be one of the most important books of our time … Right or wrong, this book is an event.' Bryan Appleyard, The Sunday Times'A hefty explication setting out clear agendas for research into quantum foundations, explanations for the 'arrow of time' and other parts of this puzzle.' Nature'Any serious intellectual rebellion is worth watching. This one is ambitious: it seeks to root out one of the oldest impulses in the western imagination.' The Spectator'Is time, after all, real? Two mavericks take an axe to the established theories of cosmology.' The Guardian'… an admirable restatement of cosmological ambition.' The Times Higher Education Supplement'Anyone that wants to thoroughly deliberate over the question of cosmology should read this book.' Peter Eisenhardt, translated from Physik JournalTable of ContentsIntroduction; Part I. Roberto Mangabeira Unger: 1. The science of the one universe in time; 2. The context and consequences of the argument; 3. The singular existence of the universe; 4. The inclusive reality of time; 5. The mutability of the laws of nature; 6. The selective realism of mathematics; Part II. Lee Smolin: 1. Cosmology in crisis; 2. Principles for a cosmological theory; 3. The setting: the puzzles of contemporary cosmology; 4. Hypotheses for a new cosmology; 5. Mathematics; 6. Approaches to solving the metalaw dilemma; 7. Implications of temporal naturalism for philosophy of mind; 8. An agenda for science; 9. Concluding remarks; A note concerning disagreements between our views.

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Book SynopsisPractice your way to a better grade in pre-calc Pre-Calculus: 1001 Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems from all the major topics in Pre-Calculusin the book and online! Get extra help with tricky subjects, solidify what you've already learned, and get in-depth walk-throughs for every problem with this useful book. These practice problems and detailed answer explanations will turn you into a pre-calc problem-solving machine, no matter what your skill level. Thanks to Dummies, you have a resource to help you put key concepts into practice. Work through practice problems on all Pre-Calculus topics covered in school classesRead through detailed explanations of the answers to build your understandingAccess practice questions online to study anywhere, any timeImprove your grade and up your study game with practice, practice, practiceThe material presented in Pre-Calculus: 1001 Practice Problems For Dummies is an excellent resource for students, as well as for parents and tutors looking to help supplement Pre-Calculus instruction. Pre-Calculus: 1001 Practice Problems For Dummies (9781119883623) was previously published as 1,001 Pre-Calculus Practice Problems For Dummies (9781118853320). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.Table of ContentsIntroduction 1 Part 1: The Questions 5 Chapter 1: Getting Started with Algebra Basics 7 Chapter 2: Solving Some Equations and Inequalities 13 Chapter 3: Function Basics 19 Chapter 4: Graphing and Transforming Functions 27 Chapter 5: Polynomials 35 Chapter 6: Exponential and Logarithmic Functions 43 Chapter 7: Trigonometry Basics 51 Chapter 8: Graphing Trig Functions 59 Chapter 9: Getting Started with Trig Identities 65 Chapter 10: Continuing with Trig Identities 71 Chapter 11: Working with Triangles and Trigonometry 77 Chapter 12: Complex Numbers and Polar Coordinates 87 Chapter 13: Conic Sections 95 Chapter 14: Systems of Equations and Inequalities 101 Chapter 15: Sequences and Series 109 Chapter 16: Introducing Limits and Continuity 115 Part 2: The Answers 123 Chapter 17: Answers 125 Index 539

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Book SynopsisTable of ContentsChapter P Preliminaries Limits and Continuity Differentiation Transcendental Functions More Applications of Differentiation Integration Techniques of Integration Applications of Integration Conics, Parametric Curves, and Polar Curves Sequence, Series, and Power Series Vectors and Coordinate Geometry in 3-Space Arc length, Metric Spaces, and Applications Vector Functions and Curves Partial Differentiation Applications of Partial Derivatives Multiple Integration Vector Fields Vector Calculus Differential Forms and Exterior Calculus Ordinary Differential Equations More Topics in Differential Equations Appendix 1 Complex Numbers Appendix 2 Complex Functions Appendix 3 Continuous Functions Appendix 4 The Riemann Integral Appendix 5 Doing Calculus with Maple Appendix 6 Doing Calculus with Python

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Book SynopsisSuitable for computational scientists and engineers in addition to researchers in numerical linear algebra community, this title includes an introduction to tensor computations and fresh sections on: discrete Poisson solvers; pseudospectra; structured linear equation problems; structured eigenvalue problems; and, polynomial eigenvalue problems.Trade ReviewProblems, solutions, and discussions of the formulas, methods and literature surrounding matrix computations make for a reference that is specific and well detailed: perfect for any college-level math collection appealing to engineers. Midwest Book Review Written for scientists and engineers, Matrix Computations, fourth edition provides comprehensive coverage of numerical linear algebra. Anyone whose work requires the solution to a matrix problem and an appreciation of mathematical properties will find this book to be an indispensable tool. MathWorksTable of ContentsPrefaceGlobal ReferencesOther BooksUseful URLsCommon NotationChapter 1. Matrix Multiplication1.1. Basic Algorithms and Notation1.2. Structure and Efficiency1.3. Block Matrices and Algorithms1.4. Fast Matrix-Vector Products1.5. Vectorization and Locality1.6. Parallel Matrix MultiplicationChapter 2. Matrix Analysis2.1. Basic Ideas from Linear Algebra2.2. Vector Norms2.3. Matrix Norms2.4. The Singular Value Decomposition2.5. Subspace Metrics2.6. The Sensitivity of Square Systems2.7. Finite Precision Matrix ComputationsChapter 3. General Linear Systems3.1. Triangular Systems3.2. The LU Factorization3.3. Roundoff Error in Gaussian Elimination3.4. Pivoting3.5. Improving and Estimating Accuracy3.6. Parallel LUChapter 4. Special Linear Systems4.1. Diagonal Dominance and Symmetry4.2. Positive Definite Systems4.3. Banded Systems4.4. Symmetric Indefinite Systems4.5. Block Tridiagonal Systems4.6. Vandermonde Systems4.7. Classical Methods for Toeplitz Systems4.8. Circulant and Discrete Poisson SystemsChapter 5. Orthogonalization and Least Squares5.1. Householder and Givens Transformations5.2. The QR Factorization5.3. The Full-Rank Least Squares Problem5.4. Other Orthogonal Factorizations5.5. The Rank-Deficient Least Squares Problem5.6. Square and Underdetermined SystemsChapter 6. Modified Least Squares Problems and Methods6.1. Weighting and Regularization6.2. Constrained Least Squares6.3. Total Least Squares6.4. Subspace Computations with the SVD6.5. Updating Matrix FactorizationsChapter 7. Unsymmetric Eigenvalue Problems7.1. Properties and Decompositions7.2. Perturbation Theory7.3. Power Iterations7.4. The Hessenberg and Real Schur Forms7.5. The Practical QR Algorithm7.6. Invariant Subspace Computations7.7. The Generalized Eigenvalue Problem7.8. Hamiltonian and Product Eigenvalue Problems7.9. PseudospectraChapter 8. Symmetric Eigenvalue Problems8.1. Properties and Decompositions8.2. Power Iterations8.3. The Symmetric QR Algorithm8.4. More Methods for Tridiagonal Problems8.5. Jacobi Methods8.6. Computing the SVD8.7. Generalized Eigenvalue Problems with SymmetryChapter 9. Functions of Matrices9.1. Eigenvalue Methods9.2. Approximation Methods9.3. The Matrix Exponential9.4. The Sign, Square Root, and Log of a MatrixChapter 10. Large Sparse Eigenvalue Problems10.1. The Symmetric Lanczos Process10.2. Lanczos, Quadrature, and Approximation10.3. Practical Lanczos Procedures10.4. Large Sparse SVD Frameworks10.5. Krylov Methods for Unsymmetric Problems10.6. Jacobi-Davidson and Related MethodsChapter 11. Large Sparse Linear System Problems11.1. Direct Methods11.2. The Classical Iterations11.3. The Conjugate Gradient Method11.4. Other Krylov Methods11.5. Preconditioning11.6. The Multigrid FrameworkChapter 12. Special Topics12.1. Linear Systems with Displacement Structure12.2. Structured-Rank Problems12.3. Kronecker Product Computations12.4. Tensor Unfoldings and Contractions12.5. Tensor Decompositions and IterationsIndex

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Book SynopsisHow to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory.Trade ReviewI'd very strongly recommend it to undergraduates studying maths, Sixth formers about to study maths, and anyone who did a maths degree a while ago and wants to revisit groups, rings and fields. I also recommend that any first year pure maths lecturers reading this should add this book to their course's reading list. * Chalkdust *Table of Contents1: What is Abstract Algebra? 2: Axioms and Denitions 3: Theorems and Proofs 4: Studying Abstract Algebra 5: Binary Operations 6: Groups and Subgroups 7: Quotient Groups 8: Isomorphisms and Homomorphisms 9: Rings References

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Book SynopsisTrade ReviewPraise for the previous edition:"A comprehensive, accessible, well-thought-out introduction to the new and burgeoning field of astrostatistics."—Choice "A substantial work that can be of value to students and scientists interested in mining the vast amount of astronomical data collected to date. . . . If data mining and machine learning fall within your interest area, this text deserves a place on your shelf."—Planetarian"This comprehensive book is surely going to be regarded as one of the foremost texts in the new discipline of astrostatistics."—Joseph M. Hilbe, president of the International Astrostatistics Association"In the era of data-driven science, many students and researchers have faced a barrier to entry. Until now, they have lacked an effective tutorial introduction to the array of tools and code for data mining and statistical analysis. The comprehensive overview of techniques provided in this book, accompanied by a Python toolbox, free readers to explore and analyze the data rather than reinvent the wheel."—Tony Tyson, University of California, Davis"The authors are leading experts in the field who have utilized the techniques described here in their own very successful research. Statistics, Data Mining, and Machine Learning in Astronomy is a book that will become a key resource for the astronomy community."—Robert J. Hanisch, Space Telescope Science Institute

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Book SynopsisHow the Greek temples and Greek statues were entirely based upon principles of sacred geometry.

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Book SynopsisTwenty-three mathematical masterpieces for exploration and enlightenmentTrade Review"Twenty-three masterworks whose analysis Scheinerman presents with rigor and accessibility."—James Ryerson, New York Times Book Review"I recommend this book to anyone with an interest in mathematics, including those mathematicians who want to experience again the excitement and surprise to be found in the study of mathematics."—Terence Morley, Mathematics Today"This is undoubtedly one of the best popular mathematics books of recent years and it is strongly recommended, above all for teachers who would like to rekindle their enthusiasm for mathematics and as a gift for any teenager who loves the subject – as the title suggests."—Owen Toller, The Mathematical Gazette"An accessible presentation of some of the most compelling and beautiful ideas of mathematics. Scheinerman demonstrates the diversity and liveliness of the subject in a friendly and inviting way."—Susan Jane Colley, Oberlin College and Editor, The American Mathematical Monthly"A great read for anyone who wants to learn what math really is, no prerequisites required. And those of us in the field are reminded of what first drew us to it."—Maria Chudnovsky, Princeton University and 2012 MacArthur Fellow"In this well-written book, the reader is taken on a fascinating journey across a broad landscape of beautiful mathematics."—Ron Graham, author of Magical Mathematics"A first-rate mathematician and expositor, Scheinerman takes us on a guided tour of great mathematical ideas. Written with clarity and humor, The Mathematics Lover's Companion will appeal to a wide audience."—Arthur Benjamin, author of The Magic of Math: Solving for x and Figuring Out Why"A clear and lively exposition that will entice non-mathematicians into the world of mathematics."—Anna Lachowska, coauthor of Beautiful, Simple, Exact, Crazy: Mathematics in the Real World

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Book SynopsisExam Board: AQALevel: GCSE Grade 9-1Subject: MathsSuitable for the 2025 examsComplete revision and practice to fully prepare for the GCSE grade 9-1 examsRevision that Sticks! Collins AQA GCSE 9-1 Maths Higher Complete All-in-One Revision and Practice uses a revision method that really works: repeated practice throughout.A revision guide, workbook and practice paper in one book!With clear and concise revision for every topic, plus seven practice opportunities, Collins offers the best revision at the best price.For even more practice QR codes link directly from the topics in the revision guide to online interactive quick recall quizzes and to worked solution videos in the workbook.Includes: grading guidance on the page to indicate different levels quick tests as you go end-of-topic practice questions topic review questions later in the book mixed practice questions at the end of the book more topic-by-topic practice in the workbook a complete exam-style paper online quick recall quizzes Trade ReviewI have received the books and they look fantastic! I found them to be very thorough but not too overwhelming at the same time with regards to each topic on a double spread. I liked the glossary section too which helps students become more confident with using mathematical vocabulary, and the exam practice section also! I thought the inclusion of the mixed exam practice questions were a nice way for students to revisit topics that they may have encountered a while ago.Ama DicksonMaths Crunch Content Creator and Maths teacher@mathscrunch

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Book SynopsisFocused on the new assessment objectives, GCSE Maths Practice Book: Use and Apply Standard Techniques is full of expertly written practice questions to help students become confident and fluent in maths. Exactly matches the GCSE Maths 4th edition Student Book Focus on AO1 using and applying standard techniques Ensure confident and competent students with hundreds of basic, differentiated practice questions Easily identify topics for further practice, intervention, prior knowledge recall and revision Provide extra support for struggling Foundation students on the key borderline grade boundary 4/5 with additional practice at this level Access answers online

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Book SynopsisPurposeful practice for Year 11 Maths with small steps and varied practice in key concepts for GCSE 9-1, problem solving, and end of unit tests. The approach is based on the leading Maths programme delivered in Shanghai.The Shanghai Maths Project is an authentic Shanghai resource adapted for the English curriculum. 1 workbook per year 8-10 chapters, made up of exercises (one lesson, one exercise) End of unit tests, end of year test Learning objective at top of each exercise, so teachers can see gradual progression Full coverage of UK curriculum objectives

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Book SynopsisExam Board: AQALevel: GCSE Grade 9-1 HigherSubject: MathsSuitable for the 2024 examsComplete coverage of the GCSE grade 9-1 courseRevision that Sticks! Collins AQA GCSE 9-1 Maths Higher Revision Guide uses a revision method that really works: repeated practice throughout.This revision guide contains clear and concise revision notes for every topic covered in the curriculum, plus five practice opportunities to ensure the best results.Includes:quick tests to check understandingend-of-topic practice questionstopic review questions later in the bookmixed practice questions at the end of the bookfree Q&A flashcards to download onlinean ebook version of the revision guide

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Book SynopsisExam Board: AQALevel: A-Level Level 3Subject: MathsSuitable for the 2024 examsPractice and pass your Core Maths exam in a week with this 7 day revision planLeft your AQA Level 3 Certificate Mathematical Studies revision to the last minute? Don't panic! Revise and prepare for your exam in just one week using this effective, concise and manageable revision guide.A revision planner that breaks all the essential topics down into a manageable 7-day programmeConcise explanations ensure topics can easily be covered in no more than 60 minutesSummary boxes provide a final recap of the key pointsQuick test questions to check recall and understandingExam-style questions for exam preparationPreviously published as Letts.

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Book SynopsisThe Shanghai Maths Project is based on the maths programme delivered in Shanghai. This authentic resource will provide complete coverage of the curriculum for years 1-11 plus varied practice of key concepts and summative assessments for each year.This second edition of The Shanghai Maths Project is an authentic Shanghai resource adapted for the English curriculum. 2 workbooks per year Units of practice linked to the teaching in the Teacher's Guides End of unit tests, end of year test Learner books support pupils with key maths facts and vocabulary Full coverage of UK curriculum objectives

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Book SynopsisExam Board: SQALevel: Advanced HigherSubject: MathsFirst Teaching: 2014, First Exam: 2015 Masses of practice questions for every topic on the curriculum.

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Book SynopsisExam board: EdexcelLevel: A-level Year 2Subject: MathsSuitable for the 2023 examsComplete revision and practice to fully prepare for the A-level examClear and accessible explanations of all the Year 2 content, with lots of practice opportunities for each topic throughout the book.Based on research that proves repeated practice is more effective than repeated study, this book is guaranteed to help you achieve the best results.There are clear and concise revision notes for every topic covered in the curriculum, plus seven practice opportunities to ensure the best results.Includes:quick tests to check understandingend-of-topic practice questionstopic review questions later in the bookmixed practice questions at the end of the bookfree Q&A flashcards to download onlinean ebook version of the revision guidemore topic-by-topic practice and a complete exam-style paper in the added workbook

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Book SynopsisWhen we learn, we change what we believe and how we interact with the world. This changes who we are as people and what we can achieve.Many people grow up being told they are not a maths person' or perhaps not smart'. They come to believe their potential is limited.Now, however, the latest science has revealed that our identities are constantly in flux; when we learn new things, we can change our identities, increase our potential and broaden our capacity to receive new information.Drawing from the latest research, Professor Boaler followed thousands of school students, studied their learning practices and examined the most effective ways to transform pupils from low to high achievers. Throughout her study, Boaler has collaborated with Stanford University neuroscience experts, harnessing their expertise to reinforce her advanced understanding of learning and educational development.In Limitless Mind, Boaler presents original groundbreaking research that proves that limiting beliefs rea

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Book SynopsisExam Board: AQALevel: GCSE 9-1Subject: Maths FoundationSuitable for the 2025 examsIdeal GCSE grade 9-1 practice in handy revision cardsThree different revision card types Revise, Memorise and Test cover everything you need to revise and test for each topic. Practise in short bursts and mix up the cards to familiarise yourself with the topics and different question types. 100 topic-based GCSE revision cards How to Use cards include revision tips and games Revise cards provide a recap of the key facts you need to know for each topic Memorise cards include the most important terms, definitions and equations Test cards feature quick-fire questions to test your understanding and recallAlso available for AQA GCSE 9-1 Maths Higher (9780008359751) and KS3 Maths (9780008399238)

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Book SynopsisExam Board: SQALevel: HigherSubject: MathsFirst Teaching: 2019, First Exam: 2020Nail your Higher Maths by working through practice questions on every topic of the curriculum, then test your understanding with mixed exam question practice.Master even the trickiest of topics by practising tons of questionsCheck your understanding by reviewing the example answers which contain workings-outBuild your confidence with the Mixed Exam Question Practice section, to prepare for the type and level of questions you can expect in the SQA Higher Maths examUnderstand how your exam will be marked with detailed answers to all of the questionsLearn how to approach different types of question with hints and tipsAll answers can be found online at https://collins.co.uk/pages/scottish-curriculum-free-resourcesCan be used at school or at home for revision, homework, independent study or exam practice.For more resources to help you do your very best, why not try Leckie's Higher Maths Complete Revision & Prac

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Book SynopsisCollins Big Cat supports every primary child on their reading journey from phonics to fluency. Top authors and illustrators have created fiction and non-fiction books that children love to read. Book banded for guided and independent reading, there are reading notes in the back, comprehensive teaching and assessment support and ebooks available.Born in 18th century France, Sophie Germain was not allowed to learn Maths, because she was a girl. Sophie went undercover to learn Maths in secret, using a boy's name as a code name. There was just one problem. Sophie was so good at Maths, people wanted to meet her. Would her cover be blown?Lime Plus/Band 11+ books provide challenging plots and vocabulary as well as opportunities to practise inference, prediction and reading stamina.Pages 46 and 47 allow children to re-visit the content of the book, supporting comprehension skills, vocabulary development and recall.Ideas for reading in the back of the book provide practical support and stimulat

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Book SynopsisConfusing Textbooks? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!Schaum's Outlines-Problem Solved.Table of ContentsVectors.Vector Functions of Real Variable.Concept of Curve.Curvature and Torsion.Theory of Curves.Elementary Topology in Euclidean Spaces.Vector Functions of Vector Variable.Concept of Curve.First and Second Fundamental Forms.Theory of Surfaces.Tensor Analysis.Intrinsic Geometry.Appendix.Existence Theorem for Curves.Existence Theorem for Surfaces.

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Book SynopsisConfusing Textbooks? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!Schaum's Outlines-Problem Solved.Table of ContentsSets and Subsets.Basic Set Operators.Sets of Numbers.Functions.Product Sets and Graphs of Functions.Relations.Further Theory of Sets.Further Theory of Functions, Operations.Cardinal Numbers.Partially and Totally Ordered Sets.Well-Ordered Sets/Ordinal Numbers.Axiom of Choice.Paradoxes in Set Theory.Algebra of Propositions.Quantifiers.Boolean Algebra.Logical Reasoning.

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