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Books > Science & Mathematics > Mathematics > Mathematical foundations

Maths on the Back of an Envelope - Clever Ways to Overcome Colossal Calculations (Hardcover): Rob Eastaway Maths on the Back of an Envelope - Clever Ways to Overcome Colossal Calculations (Hardcover)
Rob Eastaway 1
R235 R165 Discovery Miles 1 650 Save R70 (30%) Shipped within 7 - 12 working days

Does that statistic make sense? How much will this round of drinks come to? And what are the chances of winning the lottery? Twice? Learn how to do complex maths with nothing but the back of an envelope, a pencil and some good old-fashioned brain power. Doing mathematics without a calculator seems like an unnecessary feat in the twenty-first century. These clever little electronic devices have helped to take away the drudgery of arithmetic, and given all of us the power to perform in a few seconds what might previously have taken hours to work out. But much of the time, we don't need the exact answer with its endless decimal points - we just need to know whether something is in the right ballpark. Rob Eastaway's clever mathematical techniques do exactly that, as he takes an entertaining look at how to figure without a calculator. From spotting misleading statistics in the news and bad deals, to estimating how long you'll be standing in that slowly crawling queue, this book is packed with amusing anecdotes and handy back-of-the-envelope calculations for every situation. Most importantly, this book is a timely and welcome reminder that sometimes our own brain is the best tool we have to deal with numbers.

Primary Maths for Scotland Textbook 1C - For Curriculum for Excellence Primary Maths (Paperback, Edition): Craig Lowther,... Primary Maths for Scotland Textbook 1C - For Curriculum for Excellence Primary Maths (Paperback, Edition)
Craig Lowther, Antoinette Irwin, Carol Lyon, Kirsten Mackay, Felicity Martin, …
R262 Discovery Miles 2 620 Shipped within 7 - 12 working days

Primary Maths for Scotland Textbook 1C is the third of 3 first level textbooks. These engaging and pedagogically rigorous books are the first maths textbooks for Scotland completely aligned to the benchmarks and written specifically to support Scottish children in mastering mathematics at their own pace. Primary Maths for Scotland Textbook 1C is the third of 3 first level textbooks. The books are clear and simple with a focus on developing conceptual understanding alongside procedural fluency. They cover the entire second level mathematics Curriculum for Excellence in an easy-to-use set of textbooks which can fit in with teacher's existing planning, resources and scheme of work. - Packed with problem-solving, investigations and challenging problems - Diagnostic check lists at the start of each unit ensure that pupils possess the required pre-requisite knowledge to engage on the unit of work - Worked examples and non-examples help pupils fully understand mathematical concepts - Includes intelligent practice that reinforces pupils' procedural fluency

The GCHQ Puzzle Book II (Paperback): Gchq The GCHQ Puzzle Book II (Paperback)
Gchq 1
R321 R227 Discovery Miles 2 270 Save R94 (29%) Shipped within 7 - 12 working days

Challenge yourself with the GCHQ team's long-awaited second puzzle book - full of both harder and easier brain teasers. 'This is the perfect gift to fuel his ludicrous presumption that he could have definitely been a spy - even better if he's already dog-eared the first version' - Huffington Post, (10 Christmas Gifts for him under GBP15) 'Fiendishly tricky' - Daily Mail With their first bestselling book, The GCHQ Puzzle Book, the UK's intelligence and security experts tested us with puzzles, codes and real-life entrance tests from their archives. Now, they are back with a NEW collection of head-scratching, mind-boggling and brain-bending puzzles that will leave you pondering for hours. For those who often found themselves stumped with the first book, there will be even more starter puzzles to get those brains warmed up. Puzzle aficionados needn't worry though, as there will also be an 'Even Harder' section to test everyone to their limits. Not only that, but in celebration of GCHQ's centenary, the puzzles in this new book will sit alongside stories, facts and photos from the organisation's first 100 years at the heart of the nation's security. From the Government Code & Cipher School, to Bletchley Park, through to protecting against cyberattacks, the security of our country is in the hands of GCHQ. With this book, you'll get exclusive snapshots into the organisation that keeps us all safe. if you haven't yet tested yourself with the first instalment of The GCHQ Puzzle Book, check it out now!

Limitless Mind - Learn, Lead and Live without Barriers (Paperback): Jo Boaler Limitless Mind - Learn, Lead and Live without Barriers (Paperback)
Jo Boaler 1
R347 R241 Discovery Miles 2 410 Save R106 (31%) Shipped within 7 - 12 working days

When 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 UNLOCK, Boaler presents original groundbreaking research that proves that limiting beliefs really do hold us back from fulfilling our potential and that with a few careful life hacks we can transform our potential for good.

Nelson Pure Mathematics 1 for Cambridge International A Level - Print & Online Student Book Pack (Online resource): L. Bostock,... Nelson Pure Mathematics 1 for Cambridge International A Level - Print & Online Student Book Pack (Online resource)
L. Bostock, S. Chandler, T. Jennings
R455 Discovery Miles 4 550 Shipped within 7 - 12 working days

The Nelson Mathematics for Cambridge International AS & A Level series is tailored to the needs of A and AS level students of the latest 9709 syllabus. Developed by a team of experienced examiners and international authors, it provides comprehensive coverage for this syllabus and effective preparation for the Cambridge exams. The Nelson Pure Mathematics 1 for Cambridge International A Level text is designed for students taking the P1 exam paper. It provides introductions to topics and step-by-step worked examples to aid students in their understanding of the course material. Regular summaries and mixed exercises are included, enabling students to consolidate their learning. Students are well equipped to reach their full potential, with practice exam papers providing opportunities for effective exam preparation.

Best Books gegradeerde leesreeks: Vlak 1 Boek 2: Gr 2: Leesboek - Huistaal (Afrikaans, Paperback): Best Books Paneel Best Books gegradeerde leesreeks: Vlak 1 Boek 2: Gr 2: Leesboek - Huistaal (Afrikaans, Paperback)
Best Books Paneel
R70 R61 Discovery Miles 610 Save R9 (13%) Shipped within 4 - 8 working days
The Art of Logic - How to Make Sense in a World that Doesn't (Paperback): Eugenia Cheng The Art of Logic - How to Make Sense in a World that Doesn't (Paperback)
Eugenia Cheng 1
R261 R177 Discovery Miles 1 770 Save R84 (32%) Shipped within 7 - 12 working days

For thousands of years, mathematicians have used the timeless art of logic to see the world more clearly. In The Art of Logic, Royal Society Science Book Prize nominee Eugenia Cheng shows how anyone can think like a mathematician - and see, argue and think better.

Learn how to simplify complex decisions without over-simplifying them. Discover the power of analogies and the dangers of false equivalences. Find out how people construct misleading arguments, and how we can argue back.

Eugenia Cheng teaches us how to find clarity without losing nuance, taking a careful scalpel to the complexities of politics, privilege, sexism and dozens of other real-world situations. Her Art of Logic is a practical and inspiring guide to decoding the modern world.

How to Prove It - A Structured Approach (Paperback, 3rd Revised edition): Daniel J. Velleman How to Prove It - A Structured Approach (Paperback, 3rd Revised edition)
Daniel J. Velleman
R791 R683 Discovery Miles 6 830 Save R108 (14%) Shipped within 7 - 12 working days

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of proofs. The book begins with the basic concepts of logic and set theory to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for an analysis of techniques that can be used to build up complex proofs step by step, using detailed "scratch work" sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians.

Primary Maths for Scotland Textbook 2A - For Curriculum for Excellence Primary Maths (Paperback, Edition): Craig Lowther,... Primary Maths for Scotland Textbook 2A - For Curriculum for Excellence Primary Maths (Paperback, Edition)
Craig Lowther, Antoinette Irwin, Carol Lyon, Kirsten Mackay, Felicity Martin, …
R320 Discovery Miles 3 200 Shipped within 7 - 12 working days

Primary Maths for Scotland Textbook 2A is the first of 3 second level textbooks. These engaging and pedagogically rigorous books are the first maths textbooks for Scotland completely aligned to the benchmarks and written specifically to support Scottish children in mastering mathematics at their own pace. Primary Maths for Scotland Textbook 2A is the first of 3 second level textbooks. The books are clear and simple with a focus on developing conceptual understanding alongside procedural fluency. They cover the entire second level mathematics Curriculum for Excellence in an easy-to-use set of textbooks which can fit in with teacher's existing planning, resources and scheme of work. - Packed with problem-solving, investigations and challenging problems - Diagnostic check lists at the start of each unit ensure that pupils possess the required pre-requisite knowledge to engage on the unit of work - Worked examples and non-examples help pupils fully understand mathematical concepts - Includes intelligent practice that reinforces pupils' procedural fluency

Student-friendly basic mathematics (Paperback, Reissue): Magda Botha Student-friendly basic mathematics (Paperback, Reissue)
Magda Botha
R256 Discovery Miles 2 560 Shipped within 7 - 10 working days

This accessible guide is intended for those persons who need to polish up their rusty maths, or who need to get a grip on the basics of the subject for the first time. Each concept is explained, with appropriate examples, and is applied in an exercise. The solutions to all exercises are set out in detail. The book uses informal conversational language and will change the perception that mathematics is only for special people. The author has taught the subject at different levels for many years.

First-Order Logic (Paperback): Raymond M Smullyan First-Order Logic (Paperback)
Raymond M Smullyan
R210 R171 Discovery Miles 1 710 Save R39 (19%) Shipped within 7 - 11 working days

An introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods.

Nelson Pure Mathematics 2 and 3 for Cambridge International A Level - Online Student Book (Online resource): L. Bostock, S.... Nelson Pure Mathematics 2 and 3 for Cambridge International A Level - Online Student Book (Online resource)
L. Bostock, S. Chandler, T. Jennings
R454 Discovery Miles 4 540 Shipped within 7 - 12 working days

The Nelson Mathematics for Cambridge International AS & A Level series is tailored to the needs of A and AS level students of the latest 9709 syllabus. Developed by a team of experienced examiners and international authors, it provides comprehensive coverage for this syllabus and effective preparation for the Cambridge exams. The Nelson Pure Mathematics 2 and 3 for Cambridge International A Level text is designed for students taking the P2 and P3 exam papers. It provides introductions to topics and step-by-step worked examples to aid students in their understanding of the course material. Regular summaries of formulae and key pieces of information help students to revise. Numerous exercises provide opportunities to practice learning and to embed and develop skills. Students are well equipped to reach their full potential, with practice exam papers providing opportunities for effective exam preparation.

Millions, Billions, Zillions - Defending Yourself in a World of Too Many Numbers (Hardcover): Brian Kernighan Millions, Billions, Zillions - Defending Yourself in a World of Too Many Numbers (Hardcover)
Brian Kernighan
R467 R341 Discovery Miles 3 410 Save R126 (27%) Shipped within 7 - 12 working days

An essential guide to recognizing bogus numbers and misleading data Numbers are often intimidating, confusing, and even deliberately deceptive--especially when they are really big. The media loves to report on millions, billions, and trillions, but frequently makes basic mistakes or presents such numbers in misleading ways. And misunderstanding numbers can have serious consequences, since they can deceive us in many of our most important decisions, including how to vote, what to buy, and whether to make a financial investment. In this short, accessible, enlightening, and entertaining book, leading computer scientist Brian Kernighan teaches anyone--even diehard math-phobes--how to demystify the numbers that assault us every day. With examples drawn from a rich variety of sources, including journalism, advertising, and politics, Kernighan demonstrates how numbers can mislead and misrepresent. In chapters covering big numbers, units, dimensions, and more, he lays bare everything from deceptive graphs to speciously precise numbers. And he shows how anyone--using a few basic ideas and lots of shortcuts--can easily learn to recognize common mistakes, determine whether numbers are credible, and make their own sensible estimates when needed. Giving you the simple tools you need to avoid being fooled by dubious numbers, Millions, Billions, Zillions is an essential survival guide for a world drowning in big--and often bad--data.

An Invitation to Applied Category Theory - Seven Sketches in Compositionality (Paperback): Brendan Fong, David I. Spivak An Invitation to Applied Category Theory - Seven Sketches in Compositionality (Paperback)
Brendan Fong, David I. Spivak
R830 Discovery Miles 8 300 Shipped within 7 - 12 working days

Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.

Cambridge Mathematical Textbooks - Exploring Mathematics: An Engaging Introduction to Proof (Hardcover): John Meier, Derek Smith Cambridge Mathematical Textbooks - Exploring Mathematics: An Engaging Introduction to Proof (Hardcover)
John Meier, Derek Smith 2
R895 Discovery Miles 8 950 Shipped within 7 - 12 working days

Exploring Mathematics gives students experience with doing mathematics - interrogating mathematical claims, exploring definitions, forming conjectures, attempting proofs, and presenting results - and engages them with examples, exercises, and projects that pique their interest. Written with a minimal number of pre-requisites, this text can be used by college students in their first and second years of study, and by independent readers who want an accessible introduction to theoretical mathematics. Core topics include proof techniques, sets, functions, relations, and cardinality, with selected additional topics that provide many possibilities for further exploration. With a problem-based approach to investigating the material, students develop interesting examples and theorems through numerous exercises and projects. In-text exercises, with complete solutions or robust hints included in an appendix, help students explore and master the topics being presented. The end-of-chapter exercises and projects provide students with opportunities to confirm their understanding of core material, learn new concepts, and develop mathematical creativity.

Alan Turing - The Life of a Genius (Paperback): Dermot Turing Alan Turing - The Life of a Genius (Paperback)
Dermot Turing
R139 R96 Discovery Miles 960 Save R43 (31%) Shipped within 7 - 12 working days

Alan Turing was an extraordinary man who crammed into a life of only 42 years the careers of mathematician, codebreaker, computer scientist and biologist. His codebreaking work at Bletchley Park was so significant it helped to shorten the Second World War, and with Tommy Flowers he built the first computer. A man ahead of his time, many of his theories and calculations are still relevant today. Often believed to be an eccentric loner, recent research by his nephew, Dermot Turing, has unearthed a fresh perspective, and here his story is condensed into a short, accessible Pitkin guide.

MEI Further Maths: Further Pure Maths with Technology (Paperback): Tom Button MEI Further Maths: Further Pure Maths with Technology (Paperback)
Tom Button
R432 Discovery Miles 4 320 Shipped within 7 - 12 working days

Develop a deeper understanding of mathematical concepts and their applications with new and updated editions from our bestselling series. - Build connections between topics using real-world contexts that develop mathematical modelling skills, thus providing your students with a fuller and more coherent understanding of mathematical concepts. - Develop fluency in problem-solving, proof and modelling with plenty of questions and well-structured exercises. - Overcome misconceptions and develop mathematical insight with annotated worked examples. - Enhance understanding and map your progress with graduated exercises that support you at every stage of your learning.

Prof: Alan Turing Decoded (Paperback): Dermot Turing Prof: Alan Turing Decoded (Paperback)
Dermot Turing
R241 R172 Discovery Miles 1 720 Save R69 (29%) Shipped within 7 - 12 working days

Alan Turing was an extraordinary man who crammed into a life of only 42 years the careers of mathematician, codebreaker, computer scientist and biologist. He is widely regarded as a war hero grossly mistreated by his unappreciative country and it has become hard to disentangle the real man from the story. It is easy to cast him as a misfit, the stereotypical professor. But actually Alan Turing was never a professor, and his nickname `Prof' was given by his codebreaking friends at Bletchley Park. Now, Alan Turing's nephew, Dermot Turing, has taken a fresh look at the influences on Alan Turing's life and creativity, and the later creation of a legend. For the first time it is possible to disclose the real character behind the cipher-text: how did Alan's childhood experiences influence the man? Who were the influential figures in Alan's formative years? How did his creative ideas evolve? Was he really a solitary, asocial genius? What was his wartime work after 1942, and why was it kept even more secret than the Enigma story? What is the truth about Alan Turing's conviction for gross indecency, and did he commit suicide? What is the significance of the Royal Pardon granted in 2013? In Dermot's own style he takes a vibrant and entertaining approach to the life and work of a true genius.

Mathematics: Level 2: Workbook (Paperback): K. Morrison Mathematics: Level 2: Workbook (Paperback)
K. Morrison
R169 R149 Discovery Miles 1 490 Save R20 (12%) Shipped within 4 - 9 working days

This series is designed to meet the needs of students and lecturers of the National Certificate Vocational. Features for the student include: Easy-to-understand language; Real-life examples; A key word feature for important subject terms; A dictionary feature for difficult words; A reflect-on-how-you-learn feature to explore personal learning styles; Workplace-oriented activities; and Chapter summaries that are useful for exam revision.

2000 Solved Problems in Discrete Mathematics (Paperback, Ed): Seymour Lipschutz 2000 Solved Problems in Discrete Mathematics (Paperback, Ed)
Seymour Lipschutz
R573 R454 Discovery Miles 4 540 Save R119 (21%) Shipped within 7 - 11 working days

This powerful problem-solver gives you 2,000 problems in discrete mathematics, fully solved step-by-step! From SchaumÕs, the originator of the solved-problem guide, and studentsÕ favorite with over 30 million study guides soldÑthis solution-packed timesaver helps you master every type of problem you will face on your tests, from simple questions on set theory to complex Boolean algebra, logic gates, and the use of propositional calculus. Go directly to the answers you need with a complete index. Compatible with any classroom text, SchaumÕs 2000 Solved Problems in Discrete Mathematics is so complete itÕs the perfect tool for graduate or professional exam prep!

How to Prove It - A Structured Approach (Hardcover, 3rd Revised edition): Daniel J. Velleman How to Prove It - A Structured Approach (Hardcover, 3rd Revised edition)
Daniel J. Velleman
R1,711 Discovery Miles 17 110 Shipped within 7 - 12 working days

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of proofs. The book begins with the basic concepts of logic and set theory to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for an analysis of techniques that can be used to build up complex proofs step by step, using detailed "scratch work" sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians.

Who Killed Professor X? (Hardcover): Thodoris Andriopoulos Who Killed Professor X? (Hardcover)
Thodoris Andriopoulos; Illustrated by Thanasis Gkiokas; Translated by Phil Holland
R354 R295 Discovery Miles 2 950 Save R59 (17%) Shipped within 7 - 12 working days

This graphic novel is both a historical novel as well as an entertaining way of using mathematics to solve a crime. The plot, the possible motive of every suspect, and the elements of his or her character are based on actual historical figures. The 2nd International Congress of Mathematicians is being held in Paris in 1900. The main speaker, the renowned Professor X, is found dead in the hotel dining room. Foul play is suspected. The greatest mathematicians of all time (who are attending the Congress) are called in for questioning. Their statements to the police, however, take the form of mathematical problems. The Chief Inspector enlists the aid of a young mathematician to help solve the crime. Do numbers always tell the truth? Or don't they?

The Green Book of Mathematical Problems (Paperback): Kenneth Hardy The Green Book of Mathematical Problems (Paperback)
Kenneth Hardy
R282 R228 Discovery Miles 2 280 Save R54 (19%) Shipped within 7 - 11 working days

Rich selection of 100 practice problems-with hints and solutions-for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.

Arithmetic (Paperback): Paul Lockhart Arithmetic (Paperback)
Paul Lockhart
R284 R230 Discovery Miles 2 300 Save R54 (19%) Shipped within 7 - 11 working days

Because we have ten fingers, grouping by ten seems natural, but it has serious shortcomings. Twelve would be better for divisibility, and eight is well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages. Paul Lockhart presents arithmetic not as a rote manipulation of numbers-a practical if mundane branch of knowledge best suited for filling out tax forms-but a fascinating, sometimes surprising intellectual craft that arises from our desire to add, divide, and multiply important things. Passionate and entertaining, Arithmetic invites us to experience the beauty of mathematics through the eyes of a beguiling teacher. "Inspiring and informative ... deserves to be widely read." -Wall Street Journal "A nuanced understanding of working with numbers, gently connecting procedures that we once learned by rote with intuitions long since muddled by education...Lockhart presents arithmetic as a pleasurable pastime, and describes it as a craft like knitting." -Jonathon Keats, New Scientist "This fun book offers a philosophical take on number systems and revels in the beauty of math." -Science News "What are numbers, how did they arise, why did our ancestors invent them, and how did they represent them? They are, after all, one of humankind's most brilliant inventions, arguably having greater impact on our lives than the wheel. Lockhart recounts their fascinating story...A wonderful book." -Keith Devlin, author of Finding Fibonacci

Cambridge Introductions to Philosophy - An Introduction to Non-Classical Logic: From If to Is (Paperback, 2nd Revised edition):... Cambridge Introductions to Philosophy - An Introduction to Non-Classical Logic: From If to Is (Paperback, 2nd Revised edition)
Graham Priest
R822 R714 Discovery Miles 7 140 Save R108 (13%) Shipped within 7 - 12 working days

This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

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