100 Proof The Why Of Maths


100 Proof The Why Of Maths
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100 Proof The Why Of Maths


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.



100 Proof


100 Proof
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Author : Jane Hope (Writer on mathematics)
language : en
Publisher:
Release Date : 2015

100 Proof written by Jane Hope (Writer on mathematics) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Algebra categories.




100 Mathematical Proof


100 Mathematical Proof
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Author :
language : en
Publisher:
Release Date : 1999

100 Mathematical Proof written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.




How To Prove It


How To Prove It
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Author : Daniel J. Velleman
language : en
Publisher: Cambridge University Press
Release Date : 2006-01-16

How To Prove It written by Daniel J. Velleman 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 2006-01-16 with Mathematics categories.


Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write 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 a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.



The Proof Is In The Pudding


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.



Principia Mathematica


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.



Numbers And Proofs


Numbers And Proofs
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Author : Reg Allenby
language : en
Publisher: Elsevier
Release Date : 1997-09-26

Numbers And Proofs written by Reg Allenby and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-26 with Mathematics categories.


'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any attempt proof is made. Established proofs which the student is in a better position to follow then follow. Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well as giving a definitive guide to the more common forms. Stressing the importance of backing up "truths" found through experimentation, with logically sound and watertight arguments, it provides an ideal bridge to more complex undergraduate maths.



A Compendium Of Mathematical Methods A Handbook For School Teachers


A Compendium Of Mathematical Methods A Handbook For School Teachers
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Author : Joanne Morgan
language : en
Publisher: Hachette UK
Release Date : 2019-12-06

A Compendium Of Mathematical Methods A Handbook For School Teachers written by Joanne Morgan and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Education categories.


Joanne Morgan's fascinating and practical book presents a selection of mathematical methods for twenty topics in the secondary maths curriculum. Some of the methods featured are used widely in schools around the world, others are only used in a small number of countries. Some have been in use for generations and others have fallen out of fashion.Some of the very best maths teachers are those who take the time to research their subject in greater depth. Exploring new methods can help us make sense of things, even if we choose not to teach those methods. Read this book with an open mind and willingness to learn!



Proofs From The Book


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.



Introduction To Proof In Abstract Mathematics


Introduction To Proof In Abstract Mathematics
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Author : Andrew Wohlgemuth
language : en
Publisher: Courier Corporation
Release Date : 2014-06-10

Introduction To Proof In Abstract Mathematics written by Andrew Wohlgemuth and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-10 with Mathematics categories.


The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses.