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.

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.

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.

Math Recess
Math Recess

Author: Sunil Singh

Publisher: Impress, LP

Published: 2019-03-26

Total Pages: 290

ISBN-13: 9781948334105

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In the theme of recess, this book holds a deep and imaginative collection of fun mathematical ideas, puzzles, and problems. Written for anyone interested in or actively engaged in schools-parents, teachers, administrators, school board members-this book shows math as a playful, fun, and wonderfully human activity that everyone can enjoy.

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.

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.

Classical Fourier Analysis
Classical Fourier Analysis

Author: Loukas Grafakos

Publisher: Springer Science & Business Media

Published: 2008-09-18

Total Pages: 494

ISBN-13: 0387094326

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The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online

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 a journalist and former lab researcher, a penetrating investigation of the explosion in cases of scientific fraud and the factors behind it. In the 1970s, a scientific scandal about painted mice hit the headlines. A cancer researcher was found to have deliberately falsified his experiments by coloring transplanted mouse skin with ink. This widely publicized case of scientific misconduct marked the beginning of an epidemic of fraud that plagues the scientific community today. From manipulated results and made-up data to retouched illustrations and plagiarism, cases of scientific fraud have skyrocketed in the past two decades, especially in the biomedical sciences. Fraud in the Lab examines cases of scientific misconduct around the world and asks why this behavior is so pervasive. Nicolas Chevassus-au-Louis points to large-scale trends that have led to an environment of heightened competition, extreme self-interest, and emphasis on short-term payoffs. Because of the move toward highly specialized research, fewer experts are qualified to verify experimental findings. And the pace of journal publishing has exacerbated the scientific rewards system—publish or perish holds sway more than ever. Even when instances of misconduct are discovered, researchers often face few consequences, and falsified data may continue to circulate after an article has been retracted. Sharp and damning, this exposé details the circumstances that have allowed scientific standards to decline. Fraud in the Lab reveals the intense social pressures that lead to fraud, documents the lasting impact it has had on the scientific community, and highlights recent initiatives and proposals to reduce the extent of misconduct in the future.

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.

Some Mathematical Models from Population Genetics
Some Mathematical Models from Population Genetics

Author: Alison Etheridge

Publisher: Springer Science & Business Media

Published: 2011-01-07

Total Pages: 129

ISBN-13: 3642166318

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This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer school in probability. It provides a rapid introduction to a range of mathematical models that have their origins in theoretical population genetics. The models fall into two classes: forwards in time models for the evolution of frequencies of different genetic types in a population; and backwards in time (coalescent) models that trace out the genealogical relationships between individuals in a sample from the population. Some, like the classical Wright-Fisher model, date right back to the origins of the subject. Others, like the multiple merger coalescents or the spatial Lambda-Fleming-Viot process are much more recent. All share a rich mathematical structure. Biological terms are explained, the models are carefully motivated and tools for their study are presented systematically.