Math Mutation Classics

Math Mutation Classics

Author: Erik Seligman

Publisher: Apress

Published: 2016-04-22

Total Pages: 234

ISBN-13: 1484218922

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Use math in unique ways to analyze things you observe in life and use proof to attain the unexpected. There is quite a wide diversity of topics here and so all age levels and ability levels will enjoy the discussions. You'll see how the author's unique viewpoint puts a mathematical spin on everything from politicians to hippos. Along the way, you will enjoy the different point of view and hopefully it will open you up to a slightly more out-of-the-box way of thinking. Did you know that sometimes 2+2 equals 5? That wheels don't always have to be round? That you can mathematically prove there is a hippopotamus in your basement? Or how to spot four-dimensional beings as they pass through your kitchen? If not, then you need to read this book! Math Mutation Classics is a collection of Erik Seligman's blog articles from Math Mutation at MathMutation.com. Erik has been creating podcasts and converting them in his blog for many years. Now, he has collected what he believes to be the most interesting among them, and has edited and organized them into a book that is often thought provoking, challenging, and fun. What You Will Learn View the world and problems in different ways through math. Apply mathematics to things you thought unimaginable. Abstract things that are not taught in school. Who this Book is For Teenagers, college level students, and adults who can gain from the many different ways of looking at problems and feed their interest in mathematics.


Book Synopsis Math Mutation Classics by : Erik Seligman

Download or read book Math Mutation Classics written by Erik Seligman and published by Apress. This book was released on 2016-04-22 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Use math in unique ways to analyze things you observe in life and use proof to attain the unexpected. There is quite a wide diversity of topics here and so all age levels and ability levels will enjoy the discussions. You'll see how the author's unique viewpoint puts a mathematical spin on everything from politicians to hippos. Along the way, you will enjoy the different point of view and hopefully it will open you up to a slightly more out-of-the-box way of thinking. Did you know that sometimes 2+2 equals 5? That wheels don't always have to be round? That you can mathematically prove there is a hippopotamus in your basement? Or how to spot four-dimensional beings as they pass through your kitchen? If not, then you need to read this book! Math Mutation Classics is a collection of Erik Seligman's blog articles from Math Mutation at MathMutation.com. Erik has been creating podcasts and converting them in his blog for many years. Now, he has collected what he believes to be the most interesting among them, and has edited and organized them into a book that is often thought provoking, challenging, and fun. What You Will Learn View the world and problems in different ways through math. Apply mathematics to things you thought unimaginable. Abstract things that are not taught in school. Who this Book is For Teenagers, college level students, and adults who can gain from the many different ways of looking at problems and feed their interest in mathematics.

Mutations of Alternative Algebras

Mutations of Alternative Algebras

Author: Alberto Elduque

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 238

ISBN-13: 9401582793

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Around 1978, a mutation of associative algebras was introduced to generalize the formalism of classical mechanics as well as quantum mechanics. This volume presents the first book devoted to a self-contained and detailed treatment of the mathematical theory of mutation algebras, which is based on research in this subject over the past fifteen years. The book also deals with a broader class of algebras, mutations of alternative algebras, which are a natural generalization of mutations of associative algebras. A complete structure theory, including automorphisms, derivations and certain representations, is given for mutations of artinian alternative algebras, and, in particular, of Cayley--Dickson algebras. Since the mutation algebras do not form a variety, the structure theory explored in this volume takes quite a different approach from the standard theory of nonassociative algebras and provides an important interplay with the theory of noncommutative (associative) algebras through mutation parameters. New simple algebras and open problems presented in this book will stimulate additional research and applications in the area. This book will be valuable to graduate students, mathematicians and physicists interested in applications of algebras.


Book Synopsis Mutations of Alternative Algebras by : Alberto Elduque

Download or read book Mutations of Alternative Algebras written by Alberto Elduque and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Around 1978, a mutation of associative algebras was introduced to generalize the formalism of classical mechanics as well as quantum mechanics. This volume presents the first book devoted to a self-contained and detailed treatment of the mathematical theory of mutation algebras, which is based on research in this subject over the past fifteen years. The book also deals with a broader class of algebras, mutations of alternative algebras, which are a natural generalization of mutations of associative algebras. A complete structure theory, including automorphisms, derivations and certain representations, is given for mutations of artinian alternative algebras, and, in particular, of Cayley--Dickson algebras. Since the mutation algebras do not form a variety, the structure theory explored in this volume takes quite a different approach from the standard theory of nonassociative algebras and provides an important interplay with the theory of noncommutative (associative) algebras through mutation parameters. New simple algebras and open problems presented in this book will stimulate additional research and applications in the area. This book will be valuable to graduate students, mathematicians and physicists interested in applications of algebras.

The Mathematical Theory of Selection, Recombination, and Mutation

The Mathematical Theory of Selection, Recombination, and Mutation

Author: R. Bürger

Publisher: John Wiley & Sons

Published: 2000-11-02

Total Pages: 432

ISBN-13:

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"It is close to being a masterpiece...could well be the classic presentation of the area." Warren J. Ewens, University of Pennsylvania, USA Population genetics is concerned with the study of the genetic, ecological, and evolutionary factors that influence and change the genetic composition of populations. The emphasis here is on models that have a direct bearing on evolutionary quantitative genetics. Applications concerning the maintenance of genetic variation in quantitative traits and their dynamics under selection are treated in detail. * Provides a unified, self-contained and in-depth study of the theory of multilocus systems * Introduces the basic population-genetic models * Explores the dynamical and equilibrium properties of the distribution of quantitative traits under selection * Summarizes important results from more demanding sections in a comprehensible way * Employs a clear and logical presentation style Following an introduction to elementary population genetics and discussion of the general theory of selection at two or more loci, the author considers a number of mutation-selection models, and derives the dynamical equations for polygenic traits under general selective regimes. The final chapters are concerned with the maintenance of quantitative-genetic variation, the response to directional selection, the evolutionary role of deleterious mutations, and other topics. Graduate students and researchers in population genetics, evolutionary theory, and biomathematics will benefit from the in-depth coverage. This text will make an excellent reference volume for the fields of quantitative genetics, population and theoretical biology.


Book Synopsis The Mathematical Theory of Selection, Recombination, and Mutation by : R. Bürger

Download or read book The Mathematical Theory of Selection, Recombination, and Mutation written by R. Bürger and published by John Wiley & Sons. This book was released on 2000-11-02 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It is close to being a masterpiece...could well be the classic presentation of the area." Warren J. Ewens, University of Pennsylvania, USA Population genetics is concerned with the study of the genetic, ecological, and evolutionary factors that influence and change the genetic composition of populations. The emphasis here is on models that have a direct bearing on evolutionary quantitative genetics. Applications concerning the maintenance of genetic variation in quantitative traits and their dynamics under selection are treated in detail. * Provides a unified, self-contained and in-depth study of the theory of multilocus systems * Introduces the basic population-genetic models * Explores the dynamical and equilibrium properties of the distribution of quantitative traits under selection * Summarizes important results from more demanding sections in a comprehensible way * Employs a clear and logical presentation style Following an introduction to elementary population genetics and discussion of the general theory of selection at two or more loci, the author considers a number of mutation-selection models, and derives the dynamical equations for polygenic traits under general selective regimes. The final chapters are concerned with the maintenance of quantitative-genetic variation, the response to directional selection, the evolutionary role of deleterious mutations, and other topics. Graduate students and researchers in population genetics, evolutionary theory, and biomathematics will benefit from the in-depth coverage. This text will make an excellent reference volume for the fields of quantitative genetics, population and theoretical biology.

Mathematical Omnibus

Mathematical Omnibus

Author: D. B. Fuks

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 482

ISBN-13: 0821843168

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The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.


Book Synopsis Mathematical Omnibus by : D. B. Fuks

Download or read book Mathematical Omnibus written by D. B. Fuks and published by American Mathematical Soc.. This book was released on 2007 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.

The Quasispecies Equation and Classical Population Models

The Quasispecies Equation and Classical Population Models

Author: Raphaël Cerf

Publisher: Springer Nature

Published: 2022-08-31

Total Pages: 236

ISBN-13: 3031086635

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This monograph studies a series of mathematical models of the evolution of a population under mutation and selection. Its starting point is the quasispecies equation, a general non-linear equation which describes the mutation-selection equilibrium in Manfred Eigen’s famous quasispecies model. A detailed analysis of this equation is given under the assumptions of finite genotype space, sharp peak landscape, and class-dependent fitness landscapes. Different probabilistic representation formulae are derived for its solution, involving classical combinatorial quantities like Stirling and Euler numbers. It is shown how quasispecies and error threshold phenomena emerge in finite population models, and full mathematical proofs are provided in the case of the Wright–Fisher model. Along the way, exact formulas are obtained for the quasispecies distribution in the long chain regime, on the sharp peak landscape and on class-dependent fitness landscapes. Finally, several other classical population models are analyzed, with a focus on their dynamical behavior and their links to the quasispecies equation. This book will be of interest to mathematicians and theoretical ecologists/biologists working with finite population models.


Book Synopsis The Quasispecies Equation and Classical Population Models by : Raphaël Cerf

Download or read book The Quasispecies Equation and Classical Population Models written by Raphaël Cerf and published by Springer Nature. This book was released on 2022-08-31 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies a series of mathematical models of the evolution of a population under mutation and selection. Its starting point is the quasispecies equation, a general non-linear equation which describes the mutation-selection equilibrium in Manfred Eigen’s famous quasispecies model. A detailed analysis of this equation is given under the assumptions of finite genotype space, sharp peak landscape, and class-dependent fitness landscapes. Different probabilistic representation formulae are derived for its solution, involving classical combinatorial quantities like Stirling and Euler numbers. It is shown how quasispecies and error threshold phenomena emerge in finite population models, and full mathematical proofs are provided in the case of the Wright–Fisher model. Along the way, exact formulas are obtained for the quasispecies distribution in the long chain regime, on the sharp peak landscape and on class-dependent fitness landscapes. Finally, several other classical population models are analyzed, with a focus on their dynamical behavior and their links to the quasispecies equation. This book will be of interest to mathematicians and theoretical ecologists/biologists working with finite population models.

Fraud in the Lab

Fraud in the Lab

Author: Nicolas Chevassus-au-Louis

Publisher: Harvard University Press

Published: 2019-08-13

Total Pages: 225

ISBN-13: 0674979451

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From manipulated results and fake data to retouched illustrations and plagiarism, cases of scientific fraud have skyrocketed in the past two decades. In a damning exposé, Nicolas Chevassus-au-Louis details the circumstances enabling the decline in scientific standards and highlights efforts to curtail future misconduct.


Book Synopsis Fraud in the Lab by : Nicolas Chevassus-au-Louis

Download or read book Fraud in the Lab written by Nicolas Chevassus-au-Louis and published by Harvard University Press. This book was released on 2019-08-13 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: From manipulated results and fake data to retouched illustrations and plagiarism, cases of scientific fraud have skyrocketed in the past two decades. In a damning exposé, Nicolas Chevassus-au-Louis details the circumstances enabling the decline in scientific standards and highlights efforts to curtail future misconduct.

The Math of Life and Death

The Math of Life and Death

Author: Kit Yates

Publisher: Simon and Schuster

Published: 2021-04-27

Total Pages: 288

ISBN-13: 1982111887

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"Few of us really appreciate the full power of math--the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward. In this ... book, Kit Yates explores the true stories of life-changing events in which the application--or misapplication--of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice; and the unwitting victims of software glitches"--Publisher marketing.


Book Synopsis The Math of Life and Death by : Kit Yates

Download or read book The Math of Life and Death written by Kit Yates and published by Simon and Schuster. This book was released on 2021-04-27 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Few of us really appreciate the full power of math--the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward. In this ... book, Kit Yates explores the true stories of life-changing events in which the application--or misapplication--of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice; and the unwitting victims of software glitches"--Publisher marketing.

Mathematics — The Music of Reason

Mathematics — The Music of Reason

Author: Jean Dieudonne

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 292

ISBN-13: 366235358X

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This book is of interest for students of mathematics or of neighboring subjects like physics, engineering, computer science, and also for people who have at least school level mathematics and have kept some interest in it. Also good for younger readers just reaching their final school year of mathematics.


Book Synopsis Mathematics — The Music of Reason by : Jean Dieudonne

Download or read book Mathematics — The Music of Reason written by Jean Dieudonne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is of interest for students of mathematics or of neighboring subjects like physics, engineering, computer science, and also for people who have at least school level mathematics and have kept some interest in it. Also good for younger readers just reaching their final school year of mathematics.

Coding theorems of classical and quantum information theory

Coding theorems of classical and quantum information theory

Author: K.R. Parthasarathy

Publisher: Springer

Published: 2013-01-01

Total Pages: 187

ISBN-13: 9386279592

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Book Synopsis Coding theorems of classical and quantum information theory by : K.R. Parthasarathy

Download or read book Coding theorems of classical and quantum information theory written by K.R. Parthasarathy and published by Springer. This book was released on 2013-01-01 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt:

All the Mathematics You Missed

All the Mathematics You Missed

Author: Thomas A. Garrity

Publisher: 清华大学出版社有限公司

Published: 2004

Total Pages: 380

ISBN-13: 9787302090854

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Book Synopsis All the Mathematics You Missed by : Thomas A. Garrity

Download or read book All the Mathematics You Missed written by Thomas A. Garrity and published by 清华大学出版社有限公司. This book was released on 2004 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: