100 Mathematical Proof
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100 Mathematical Proof
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Author : Rowan Garnier
language : en
Publisher:
Release Date : 1996-08
100 Mathematical Proof written by Rowan Garnier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08 with Mathematics categories.
"Proof" has been and remains one of the concepts which characterises mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, the book seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principle techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, constructive and non-constructive proofs, etc. Many examples from analysis and modern algebra are included. The exceptionally clear style and presentation ensures that the book will be useful and enjoyable to those studying and interested in the notion of mathematical "proof."
100 Proof The Why Of Maths
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Author : Jane Hope
language : en
Publisher: Percival Press
Release Date : 2016-12-23
100 Proof The Why Of Maths written by Jane Hope and has been published by Percival Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-23 with categories.
This book is a collection of over a hundred visual and algebraic explanations and proofs of maths formulas and concepts, all needed for GCSE and A level. Set out as very understandable individual pages per proof, with clear diagrams and simple algebra, all these formulas are found within one handy volume. This book is a good revision addition, key to understanding and memory aid. Black and white. Included are: Areas of rectangle, circle, triangle, parallelogram, trapezium, surface area and volume cone and sphere, ratio sides of triangle, Pythagoras, sine relationship, sine formula, sine area triangle, cosine rule, quadratic formula to find root, root relationships, circle theorems, trig identities, double angle, sums of sines, cosines, difference of two squares, completing the square, sum of geometric and arithmetic sequences, formula for circle.........among others Often the 'why of maths' gets overlooked for the 'how' of using it, but these simple visual pages act as a key to understanding, and once understood, the maths becomes easier, it makes more sense, and the formulas are more likely to be remembered. The skills developed by using these pages are also fundamental to problem solving, finding an unknown, building on what you know to be true, experimenting, using logic. Such skills are essential for exam questions; problem solving is an important feature in current maths courses, as well as being a useful life skill.
The Proof Is In The Pudding
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Author : Steven G. Krantz
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-13
The Proof Is In The Pudding written by Steven G. Krantz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-13 with Mathematics categories.
This text explores the many transformations that the mathematical proof has undergone from its inception to its versatile, present-day use, considering the advent of high-speed computing machines. Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of discovery to date. Most of the proofs are discussed in detail with figures and equations accompanying them, allowing both the professional mathematician and those less familiar with mathematics to derive the same joy from reading this book.
Understanding Mathematical Proof
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Author : John Taylor
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Understanding Mathematical Proof written by John Taylor and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master. In particular, undergraduate mathematics students often experience difficulties in understanding and constructing proofs.Understanding Mathematical Proof describes the nature of mathematical proof, explores the various techn
Logic Sets And The Techniques Of Mathematical Proofs
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Author : Brahima Mbodje Ph. D.
language : en
Publisher: AuthorHouse
Release Date : 2011-06
Logic Sets And The Techniques Of Mathematical Proofs written by Brahima Mbodje Ph. D. and has been published by AuthorHouse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06 with Education categories.
As its title indicates, this book is about logic, sets and mathematical proofs. It is a careful, patient and rigorous introduction for readers with very limited mathematical maturity. It teaches the reader not only how to read a mathematical proof, but also how to write one. To achieve this, we carefully lay out all the various proof methods encountered in mathematical discourse, give their logical justifications, and apply them to the study of topics [such as real numbers, relations, functions, sequences, fine sets, infinite sets, countable sets, uncountable sets and transfinite numbers] whose mastery is important for anyone contemplating advanced studies in mathematics. The book is completely self-contained; since the prerequisites for reading it are only a sound background in high school algebra. Though this book is meant to be a companion specifically for senior high school pupils and college undergraduate students, it will also be of immense value to anyone interested in acquiring the tools and way of thinking of the mathematician.
Proofs From The Book
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Author : Martin Aigner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Proofs From The Book written by Martin Aigner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
The Meaning Of Proofs
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Author : Gabriele Lolli
language : en
Publisher: MIT Press
Release Date : 2022-09-27
The Meaning Of Proofs written by Gabriele Lolli and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-27 with Mathematics categories.
Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story. In The Meaning of Proofs, mathematician Gabriele Lolli argues that to write a mathematical proof is tantamount to inventing a story. Lolli offers not instructions for how to write mathematical proofs, but a philosophical and poetic reflection on mathematical proofs as narrative. Mathematics, imprisoned within its symbols and images, Lolli writes, says nothing if its meaning is not narrated in a story. The minute mathematicians open their mouths to explain something—the meaning of x, how to find y—they are framing a narrative. Every proof is the story of an adventure, writes Lolli, a journey into an unknown land to open a new, connected route; once the road is open, we correct it, expand it. Just as fairy tales offer a narrative structure in which new characters can be inserted into recurring forms of the genre in original ways, in mathematics, each new abstract concept is the protagonist of a different theory supported by the general techniques of mathematical reasoning. In ancient Greece, there was more than an analogy between literature and mathematics, there was direct influence. Euclid’s proofs have roots in poetry and rhetoric. Mathematics, Lolli asserts, is not the mere manipulation of formulas.
Nonplussed
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Author : Julian Havil
language : en
Publisher: Princeton University Press
Release Date : 2010-08-02
Nonplussed written by Julian Havil and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-02 with Mathematics categories.
Math—the application of reasonable logic to reasonable assumptions—usually produces reasonable results. But sometimes math generates astonishing paradoxes—conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true. Did you know that a losing sports team can become a winning one by adding worse players than its opponents? Or that the thirteenth of the month is more likely to be a Friday than any other day? Or that cones can roll unaided uphill? In Nonplussed!—a delightfully eclectic collection of paradoxes from many different areas of math—popular-math writer Julian Havil reveals the math that shows the truth of these and many other unbelievable ideas. Nonplussed! pays special attention to problems from probability and statistics, areas where intuition can easily be wrong. These problems include the vagaries of tennis scoring, what can be deduced from tossing a needle, and disadvantageous games that form winning combinations. Other chapters address everything from the historically important Torricelli's Trumpet to the mind-warping implications of objects that live on high dimensions. Readers learn about the colorful history and people associated with many of these problems in addition to their mathematical proofs. Nonplussed! will appeal to anyone with a calculus background who enjoys popular math books or puzzles.
Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
100 Great Problems Of Elementary Mathematics
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Author : Heinrich Dörrie
language : en
Publisher: Courier Corporation
Release Date : 2013-04-09
100 Great Problems Of Elementary Mathematics written by Heinrich Dörrie and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.
Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.