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Mathematical Foundations books

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  • Proofs from THE BOOK by Martin Aigner
    Proofs from THE BOOK (English, Hardback)

    This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden's permanent conjecture, as well as additional, highly original and delightful proofs in other chapters....

    $55.25 $59.99
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  • Wonders Beyond Numbers by Johnny Ball
    Wonders Beyond Numbers (English, Paperback)

    An all-encompassing history of mathematics from beloved TV presenter Johnny Ball.

    $15.63 $18.00
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  • Foundations of Science Mathematics by Deviderjit Singh Sivia
    Foundations of Science Mathematics (English, Paperback)

    This text spans a large range of mathematics, from basic algebra to calculus and Fourier transforms. Its tutorial style bridges the gap between school and university while its conciseness provides a useful reference for the professional.

    $27.99
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  • The GCHQ Puzzle Book by GCHQ
    The GCHQ Puzzle Book (English, Paperback)

    GCHQ is a top-secret intelligence and security agency which recruits some of the very brightest minds. Over the years, their codebreakers have helped keep England safe, from the Bletchley Park breakthroughs of WWII to the modern-day threat of cyberattack. So it comes as no surprise that, even in their time off, the staff at GCHQ love a good puzzle. Whether they're recruiting new staff or...

    $18.07 $19.95
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  • Prime Numbers and the Riemann Hypothesis by Barry Mazur
    Prime Numbers and the Riemann Hypothesis (English, Paperback)

    This book introduces prime numbers and explains the celebrated, unsolved Riemann hypothesis in a direct manner. Suitable for both scholars and those with a minimal mathematical background.

    $30.41
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  • Hex by Ryan B. Hayward
    Hex (English, Paperback)

    History and mathematics of a game invented in 1942.

    $43.22
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  • Alex's Adventures in Numberland by Alex Bellos
    Alex's Adventures in Numberland (English, Paperback)

    The Sunday Times bestseller Shortlisted for the BBC Samuel Johnson Prize

    $14.02 $20.50
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  • Reverse Mathematics by John Stillwell
    Reverse Mathematics (English, Hardback)

    "This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been...

    $24.59 $26.22
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  • How Not to Be Wrong by Jordan Ellenberg
    How Not to Be Wrong (English, Paperback)

    Explores the mathematician's method of analyzing life, from the everyday to the cosmic, showing us which numbers to defend, which ones to ignore and when to change the equation entirely. This book tells us that maths touches on everything we do, and a little mathematical knowledge reveals the hidden structures that lie beneath the chaotic surface.

    $12.67
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  • Computability and Logic by George S. Boolos
    Computability and Logic (English, Paperback)

    Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This fifth edition was first published in 2007.

    $33.96
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  • Numbers and the Making of Us by Caleb Everett
    Numbers and the Making of Us (English, Hardback)

    Number concepts are a human invention developed and refined over millennia. They allow us to grasp quantities precisely: recent research shows that most specific quantities are not perceived in the absence of a number system. Numbers are not innate or universal; yet without them, the world as we know it would not exist.

    $21.95 $27.95
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  • The Math Book by Clifford A. Pickover
    The Math Book (English, Paperback)

    Beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions, this title covers 250 milestones in mathematical history. It helps readers learn about: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect.

    $21.95
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  • Higher Topos Theory (AM-170) by Jacob Lurie
    Higher Topos Theory (AM-170) (English, Paperback)

    Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. This title presents the foundations of this theory.

    $83.54 $91.78
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  • The Theology of Arithmetic by Joel Kalvesmaki
    The Theology of Arithmetic (English, Paperback)

    In the second century, some Gnostic Christians used numerical structures to describe God, interpret the Bible, and frame the universe. The Theology of Arithmetic explores the rich variety of number symbolism used by gnosticizing groups and their orthodox critics, and shows how earlier neo-Pythagorean and Platonist thought influenced this theology.

    $25.47
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  • Logic In Wonderland: An Introduction To Logic Through Reading Alice's Adventures In Wonderland - Teacher's Guidebook by Nitsa Movshovitz-Hadar
    Logic In Wonderland: An Introduction To Logic Through Reading Alice's Adventures In Wonderland - Teacher's Guidebook (English, Paperback)

    Ordinary textbooks for such a course are purely mathematical in their nature, and students usually find the course difficult, boring and very technical. Our approach motivates the students through reading the classic novel Alice's Adventures in Wonderland, written by Lewis Caroll who was not only one of the best storytellers but also a logician.

    $54.64
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  • The GCHQ Puzzle Book II by GCHQ
    The GCHQ Puzzle Book II (English, Paperback)

    Challenge yourself with the GCHQ team's long-awaited second puzzle book - full of both harder and easier brain teasers. ...

    $17.61
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  • Elements of Mathematics by John Stillwell
    Elements of Mathematics (English, Paperback)

    Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics?but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become...

    $24.46
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  • How to Solve It by Georg Polya
    How to Solve It (English, Paperback)

    A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out?from building a bridge to winning a game of anagrams. Generations of readers have...

    $17.57 $19.65
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  • Ada's Algorithm by James Essinger
    Ada's Algorithm (English, Paperback)

    How Ada Lovelace, Lord Byron's daughter, became the world's first computer programmer in 1842 and would have started the digital age.

    $14.09
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  • Categories for the Working Mathematician by Saunders Mac Lane
    Categories for the Working Mathematician (English, Hardback)

    This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

    $65.83 $74.95
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