Maths in 100 Key Breakthroughs

Maths in 100 Key Breakthroughs PDF Author: Richard Elwes
Publisher:
ISBN: 9781780873220
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Maths in 100 Key Breakthroughs presents a series of essays explaining the fundamentals of the most important maths concepts you really need to know. Richard Elwes profiles the groundbreaking and front-of-mind discoveries that have had a profound influence on our way of life and understanding. From the origins of counting some 35,000 years ago, right up to the very latest breakthroughs - such as Wiles' proof of Fermat's Last Theorem and Cook & Wolfram's Rule 110 - Maths in 100 Key Breakthroughs tells a story of discovery, invention, painstaking progress and inspired leaps of the imagination.

Maths in 100 Key Breakthroughs

Maths in 100 Key Breakthroughs PDF Author: Richard Elwes
Publisher:
ISBN: 9781780873220
Category : Mathematics
Languages : en
Pages : 0

Get Book Here

Book Description
Maths in 100 Key Breakthroughs presents a series of essays explaining the fundamentals of the most important maths concepts you really need to know. Richard Elwes profiles the groundbreaking and front-of-mind discoveries that have had a profound influence on our way of life and understanding. From the origins of counting some 35,000 years ago, right up to the very latest breakthroughs - such as Wiles' proof of Fermat's Last Theorem and Cook & Wolfram's Rule 110 - Maths in 100 Key Breakthroughs tells a story of discovery, invention, painstaking progress and inspired leaps of the imagination.

Math in 100 Key Breakthroughs

Math in 100 Key Breakthroughs PDF Author: Richard Elwes
Publisher: Quercus
ISBN: 9781623650544
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Richard Elwes is a writer, teacher and researcher in Mathematics, visiting fellow at the University of Leeds, and contributor to numerous popular science magazines. He is a committed and recognized popularizer of mathematics. Of Elwes, Sonder Books 2011 Standouts said, "Dr. Elwes is brilliant at giving the reader the broad perspective, with enough details to fascinate, rather than confuse." Math in 100 Key Breakthroughs offers a series of short, clear-eyed essays explaining the fundamentals of the mathematical concepts everyone should know. Professor Richard Elwes profiles the most important, groundbreaking, and astonishing discoveries, which together have profoundly influenced our understanding of the universe. From the origins of counting--traced back to more than 35,000 years ago--to such contemporary breakthroughs as Wiles' Proof of Fermat's Last Theorem and Cook & Woolfram's Rule 110, this compulsively readable book tells the story of discovery, invention, and inspiration that have led to humankind's most important mathematical achievements.

Science in 100 Key Breakthroughs

Science in 100 Key Breakthroughs PDF Author: Paul Parsons
Publisher: Quercus
ISBN: 1623652685
Category : Science
Languages : en
Pages : 616

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Book Description
Science in 100 Key Breakthroughs presents a series of clear and concise essays that explain the fundamentals of some of the most exciting and important science concepts you really need to know. Paul Parsons profiles the important, ground-breaking, and front-of-mind scientific discoveries that have had a profound influence on our way of life and will grow in importance with our advancing understanding. In 100 sections, this book provides an overview of the history of Western science, from astronomy and physics to geology, biology and psychology and everything in between. Starting with the origins of counting more than 35,000 years ago, Science tells a rich and fascinating story of discovery, invention, gradual progress and inspired leaps of the imagination. Many key concepts and discoveries are defined and discussed including: The circumference of the Earth, Chaos theory, Algebra, Relativity, Newton's Principia, Brownian motion, Pi, Wave/particle duality, Germ theory, The computer, X-rays, The double helix, Viruses, The human genome Readable, informative and thought-provoking, this is the ideal introduction to cutting-edge science and the essential overview for anyone who wants to learn more about these often daunting but increasingly essential subjects.

Science in 100 Key Breakthroughs

Science in 100 Key Breakthroughs PDF Author: Paul Parsons
Publisher: Hachette UK
ISBN: 1780878001
Category : Science
Languages : en
Pages : 617

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Book Description
Science in 100 Key Breakthroughs presents a series of clear and concise essays that explain the fundamentals of some of the most exciting and important science concepts you really need to know. Paul Parsons profiles the important, ground-breaking, and front-of-mind scientific discoveries that have had a profound influence on our way of life and will grow in importance with our advancing understanding. In 100 sections, this book provides an overview of the history of Western science, from astronomy and physics to geology, biology and psychology and everything in between. Starting with the origins of counting more than 35,000 years ago, Science in 100 Key Breakthroughs tells a rich and fascinating story of discovery, invention, gradual progress and inspired leaps of the imagination. Many key concepts and discoveries are defined and discussed including: The circumference of the Earth, Chaos theory, Algebra, Relativity, Newton's Principia, Brownian motion, Pi, Wave/particle duality, Germ theory, The computer, X-rays, The double helix, Viruses, The human genome. Readable, informative and thought-provoking, this is the ideal introduction to cutting-edge science and the essential overview for anyone who wants to learn more about these often daunting but increasingly essential subjects.

Science and Mathematics

Science and Mathematics PDF Author: Jayant V. Narlikar
Publisher: Taylor & Francis
ISBN: 1000433242
Category : Mathematics
Languages : en
Pages : 185

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Book Description
This book offers an engaging and comprehensive introduction to scientific theories and the evolution of science and mathematics through the centuries. It discusses the history of scientific thought and ideas and the intricate dynamic between new scientific discoveries, scientists, culture and societies. Through stories and historical accounts, the volume illustrates the human engagement and preoccupation with science and the interpretation of natural phenomena. It highlights key scientific breakthroughs from the ancient to later ages, giving us accounts of the work of ancient Greek and Indian mathematicians and astronomers, as well as of the work of modern scientists like Descartes, Newton, Planck, Mendel and many more. The author also discusses the vast advancements which have been made in the exploration of space, matter and genetics and their relevance in the advancement of the scientific tradition. He provides great insights into the process of scientific experimentation and the relationship between science and mathematics. He also shares amusing anecdotes of scientists and their interactions with the world around them. Detailed and accessible, this book will be of great interest to students and researchers of science, mathematics, the philosophy of science, science and technology studies and history. It will also be useful for general readers who are interested in the history of scientific discoveries and ideas.

Mathematics

Mathematics PDF Author: Anne Rooney
Publisher: Arcturus Publishing
ISBN: 1398800287
Category : Mathematics
Languages : en
Pages : 362

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Book Description
In order to understand the universe you must know the language in which it is written. And that language is mathematics. - Galileo (1564-1642) People have always sought order in the apparent chaos of the universe. Mathematics has been our most valuable tool in that search, uncovering the patterns and rules that govern our world and beyond. This book traces humankind's greatest achievements, plotting a journey through the mathematical intellects of the last 4,000 years to where we stand today. It features the giants of mathematics, from Euclid and Pythagoras, through Napier and Newton, to Leibniz, Riemann, Russell, and many more. Topics include: • Counting and measuring from the earliest times • The Ancient Egyptians and geometry • The movements of planets • Measuring and mapping the world • Fuzzy logic and set theory • The death of numbers ABOUT THE SERIES: Arcturus Fundamentals Series explains fascinating and far-reaching topics in simple terms. Designed with rustic, tactile covers and filled with dynamic illustrations and fact boxes, these books will help you quickly get to grips with complex topics that affect our day-to-day living.

Mathematics: All That Matters

Mathematics: All That Matters PDF Author: Mike Askew
Publisher: John Murray
ISBN: 1473601754
Category : Mathematics
Languages : en
Pages : 160

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Book Description
Mathematics often gets a bad press. Describing someone as 'calculating' or 'rational' is hardly as flattering as being labelled 'artistic' or 'creative' and mathematicians in movies or novels are often portrayed as social misfits who rarely get the guy or girl. No wonder some folks say 'oh I don't care for mathematics, I was never any good at it' with a wistful sense of pride. Yet professional mathematicians talk of the subject differently. They look for elegant solutions to problems, revel in playing around with mathematical ideas and talk of the creative nature of mathematics. As the Russian mathematician Sophia Kovalevskaya said "It is impossible to be a mathematician without being a poet in soul." So why is there such a gap between the views of everyday folks and professional mathematicians? Part of the problem lies in how most of us were taught mathematics in school. The mathematics served up there is presented as a series of de-contextualised, abstract ideas, wrested from the human struggles and interactions that gave birth to the ideas. Through looking at some of the history of mathematics, psychological studies into how we come to know mathematics and key ideas in mathematics itself, the intent of this book is, if not to make the reader fall in love with mathematics, then at least to come to understand its nature a little better, and perhaps care a little more for it. In short, this book explores the human side of maths.

Proofs from THE BOOK

Proofs from THE BOOK PDF Author: Martin Aigner
Publisher: Springer Science & Business Media
ISBN: 3662223430
Category : Mathematics
Languages : en
Pages : 194

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Book Description
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.

Unknown Quantity

Unknown Quantity PDF Author: John Derbyshire
Publisher: National Academies Press
ISBN: 030909657X
Category : Science
Languages : en
Pages : 391

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Book Description
Prime Obsession taught us not to be afraid to put the math in a math book. Unknown Quantity heeds the lesson well. So grab your graphing calculators, slip out the slide rules, and buckle up! John Derbyshire is introducing us to algebra through the ages-and it promises to be just what his die-hard fans have been waiting for. "Here is the story of algebra." With this deceptively simple introduction, we begin our journey. Flanked by formulae, shadowed by roots and radicals, escorted by an expert who navigates unerringly on our behalf, we are guaranteed safe passage through even the most treacherous mathematical terrain. Our first encounter with algebraic arithmetic takes us back 38 centuries to the time of Abraham and Isaac, Jacob and Joseph, Ur and Haran, Sodom and Gomorrah. Moving deftly from Abel's proof to the higher levels of abstraction developed by Galois, we are eventually introduced to what algebraists have been focusing on during the last century. As we travel through the ages, it becomes apparent that the invention of algebra was more than the start of a specific discipline of mathematics-it was also the birth of a new way of thinking that clarified both basic numeric concepts as well as our perception of the world around us. Algebraists broke new ground when they discarded the simple search for solutions to equations and concentrated instead on abstract groups. This dramatic shift in thinking revolutionized mathematics. Written for those among us who are unencumbered by a fear of formulae, Unknown Quantity delivers on its promise to present a history of algebra. Astonishing in its bold presentation of the math and graced with narrative authority, our journey through the world of algebra is at once intellectually satisfying and pleasantly challenging.

Making up Numbers: A History of Invention in Mathematics

Making up Numbers: A History of Invention in Mathematics PDF Author: Ekkehard Kopp
Publisher: Open Book Publishers
ISBN: 1800640978
Category : Mathematics
Languages : en
Pages : 282

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Book Description
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.