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Math Mutation Classics


Math Mutation Classics
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Math Mutation Classics


Math Mutation Classics
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Author : Erik Seligman
language : en
Publisher: Apress
Release Date : 2016-04-22

Math Mutation Classics written by Erik Seligman and has been published by Apress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-22 with Computers categories.


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.



Mathematical Omnibus


Mathematical Omnibus
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Author : D. B. Fuks
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Mathematical Omnibus written by D. B. Fuks and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


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 Mathematical Theory Of Selection Recombination And Mutation


The Mathematical Theory Of Selection Recombination And Mutation
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Author : R. Bürger
language : en
Publisher: John Wiley & Sons
Release Date : 2000-11-02

The Mathematical Theory Of Selection Recombination And Mutation written by R. Bürger and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-02 with Mathematics categories.


"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.



The Quasispecies Equation And Classical Population Models


The Quasispecies Equation And Classical Population Models
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Author : Raphaël Cerf
language : en
Publisher: Springer Nature
Release Date : 2022-07-30

The Quasispecies Equation And Classical Population Models written by Raphaël Cerf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-30 with Mathematics categories.


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.



Mathematics The Music Of Reason


Mathematics The Music Of Reason
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Author : Jean Dieudonne
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Mathematics The Music Of Reason written by Jean Dieudonne 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 2013-11-11 with Mathematics categories.


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.



The Math Of Life And Death


The Math Of Life And Death
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Author : Kit Yates
language : en
Publisher: Simon and Schuster
Release Date : 2020-01-07

The Math Of Life And Death written by Kit Yates and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-07 with Mathematics categories.


Brilliant and entertaining mathematician Kit Yates illuminates seven mathematical concepts that shape our daily lives. From birthdays to birth rates to how we perceive the passing of time, mathematical patterns shape our lives. But for those of us who left math behind in high school, the numbers and figures we encounter as we go about our days can leave us scratching our heads, feeling as if we’re fumbling through a mathematical minefield. In this eye-opening and “welcome addition to the math-for-people-who-hate-math” (Kirkus Reviews), Kit Yates illuminates hidden principles that can help us understand and navigate the chaotic and often opaque surfaces of our world. In The Math of Life and Death, Yates takes us on a “dizzying, dazzling” (Nature) tour of everyday situations and grand-scale applications of mathematical concepts, including exponential growth and decay, optimization, statistics and probability, and number systems. Along the way he reveals the mathematical undersides of controversies over DNA testing, Ponzi schemes, viral marketing, and historical events such as the Chernobyl disaster and the Amanda Knox trial. Readers will finish this book with an enlightened perspective on the news, the law, medicine, and history, and will be better equipped to make personal decisions and solve problems with math in mind, whether it’s choosing the shortest checkout line at the grocery store or halting the spread of a deadly disease.



Fraud In The Lab


Fraud In The Lab
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Author : Nicolas Chevassus-au-Louis
language : en
Publisher: Harvard University Press
Release Date : 2019-08-13

Fraud In The Lab written by Nicolas Chevassus-au-Louis and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-13 with Science categories.


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.



Transition To Higher Mathematics


Transition To Higher Mathematics
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Author : Bob A. Dumas
language : en
Publisher: McGraw-Hill Education
Release Date : 2007

Transition To Higher Mathematics written by Bob A. Dumas and has been published by McGraw-Hill Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Logic, Symbolic and mathematical categories.


This book is written for students who have taken calculus and want to learn what "real mathematics" is.



Handbook On The History Of Mathematics Education


Handbook On The History Of Mathematics Education
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Author : Alexander Karp
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-25

Handbook On The History Of Mathematics Education written by Alexander Karp 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 2014-01-25 with Mathematics categories.


This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.



Classical And Spatial Stochastic Processes


Classical And Spatial Stochastic Processes
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Author : Rinaldo B. Schinazi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Classical And Spatial Stochastic Processes written by Rinaldo B. Schinazi 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 2012-12-06 with Mathematics categories.


This book is intended as a text for a first course in stochastic processes at the upper undergraduate or graduate levels, assuming only that the reader has had a serious calculus course-advanced calculus would even be better-as well as a first course in probability (without measure theory). In guiding the student from the simplest classical models to some of the spatial models, currently the object of considerable research, the text is aimed at a broad audience of students in biology, engineering, mathematics, and physics. The first two chapters deal with discrete Markov chains-recurrence and tran sience, random walks, birth and death chains, ruin problem and branching pro cesses-and their stationary distributions. These classical topics are treated with a modem twist: in particular, the coupling technique is introduced in the first chap ter and is used throughout. The third chapter deals with continuous time Markov chains-Poisson process, queues, birth and death chains, stationary distributions. The second half of the book treats spatial processes. This is the main difference between this work and the many others on stochastic processes. Spatial stochas tic processes are (rightly) known as being difficult to analyze. The few existing books on the subject are technically challenging and intended for a mathemat ically sophisticated reader. We picked several interesting models-percolation, cellular automata, branching random walks, contact process on a tree-and con centrated on those properties that can be analyzed using elementary methods.