Due to efficacy and optimization potential of genetic and evolutionary algorithms, they are used in learning and modeling especially with the advent of big data related problems. This book presents the algorithms and strategies specifically associated with pertinent issues in materials science domain. It discusses the procedures for evolutionary multi-objective optimization of objective functions created through these procedures and introduces available codes. Recent applications ranging from primary metal production to materials design are covered. It also describes hybrid modeling strategy, and other common modeling and simulation strategies like molecular dynamics, cellular automata etc. Features: Focuses on data-driven evolutionary modeling and optimization, including evolutionary deep learning. Include details on both algorithms and their applications in materials science and technology. Discusses hybrid data-driven modeling that couples evolutionary algorithms with generic computing strategies. Thoroughly discusses applications of pertinent strategies in metallurgy and materials. Provides overview of the major single and multi-objective evolutionary algorithms. This book aims at Researchers, Professionals, and Graduate students in Materials Science, Data-Driven Engineering, Metallurgical Engineering, Computational Materials Science, Structural Materials, and Functional Materials.

Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians.

In this easily readable volume, the author explains some of the reasons for our preference toward the number seven. He reviews its occurrences in our cultural, biological, chemical, physical, algebraic and geometrical world in an attempt to find the reasons behind them.

Professor Stephen Lerman has been a leader in the field of mathematics education for thirty years. His work is extensive, making many significant contributions to a number of key areas of research. Stephen retired from South Bank University in 2012, where he had worked for over 20 years, though he continues to work at Loughborough University. In this book several of his long standing colleagues and collaborators reflect on his contribution to mathematics education, and in so doing illustrate how some of Steve's ideas and interventions have resulted in significant shifts in the domain.

Mathematical biology remains a fast-growing topic within applied mathematics. The Mathematical Modeling course is a common and popular course. This book aims to tailor the modeling course to life science applications. It introduces an advanced concept, Sensitivity Analysis, at an undergraduate level. The book will be attractive to any mathematician teaching biology students in a modeling or mathematical biology course.

In China, lots of excellent maths students take an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results - they won the first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Yao Yijun, Qu Zhenhua, et al. Those who took part in the translation work are Wang Shanping and Chen Haoran.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2017-2018). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.

In China, lots of excellent maths students take an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results - they won the first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Yao Yijun, Qu Zhenhua, et al. Those who took part in the translation work are Wang Shanping and Chen Haoran.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2017-2018). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.

This book brings together various studies that assume phenomenology to analyze how mathematics education is affected by the experience of being in the cyberspace. The authors of the chapters included in this contributed volume work with the theoretical framework developed by authors such as Edmund Husserl, Martin Heidegger and Maurice Merleau-Ponty to investigate how mathematics is produced and comprehended in a new way of being in the world, with digital technologies. The aim of this book is not to explain the tools used and how one works with them in the cyberspace, aiming at better teaching and learning mathematics. Its purpose is to present philosophical investigations that contribute to the understanding of the complexity of the world in which we are being researchers and mathematics teachers. By doing so, Constitution and Production of Mathematics in the Cyberspace - A Phenomenological Approach will help researchers and mathematics teachers understand their role in a world in which the experience of teaching and learning mathematics is being radically changed by new technologies and new ways of being in this world.

Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. The new volume in the series "Imagine Math" is intended to contribute to grasping how much that is interesting and new is happening in the relationships between mathematics, imagination and culture. The present book begins with the connections between mathematics, numbers, poetry and music, with the latest opera by Italian composer Claudio Ambrosini. Literature and narrative also play an important role here. There is cinema too, with the "erotic" mathematics films by Edward Frenkel, and the new short "Arithmetique " by Munari and Rovazzani. The section on applications of mathematics features a study of ants, as well as the refined forms and surfaces generated by algorithms used in the performances by Adrien Mondot and Claire Bardainne. Last but not least, in honour of the hundredth anniversary of his birth, a mathematical, literary and theatrical homage to Alan Turing, one of the outstanding figures of the twentieth century.

This insightful Guide is meant to serve any and all interested in pursuing a career in mathematics education and research. The author's goal and the book's theme is to help students and others make a smooth transition to teachers and researchers of mathematics. Part I presents helpful techniques on teaching and conducting research. This innovative book also offers strategies on how to observe from and develop research methods, carry out research, and begin writing research papers. It includes an introduction to LaTeX, the most widely used mathematics typesetting and rendering computer program. Part II introduces some modern research in mathematics in various industries. The aim in is to expose the reader to modern applications and help him/her become acquainted with research papers and how to read and understand them. Authored by a young teacher and researcher, also beginning her career, this book is written by and for young mathematicians. Most graduate students as she experienced, are not given a proper transitory introduction to research and are not taught the "how" in teaching, attending conferences and collaborating. The book is based on the author's own observations and on techniques she has found effective. Mathematics graduate students and those in related fields will find assistance to help them reflect on and advance their career pursuits. Advisors and mentors might also find useful suggestions here.

This book "Advanced Applications of Computational Mathematics" covers multidisciplinary studies containing advanced research in the field of computational and applied mathematics. The book includes research methodology, techniques, applications, and algorithms. The book will be very useful to advanced students, researchers and practitioners who are involved in the areas of computational and applied mathematics and engineering.

Despite the ubiquity of countless apps, social media platforms, and so-called smart devices, and even considering the renewed and welcome focus on STEM subjects, societal innumeracy remains a critical driver of bad policy and bad thinking. Almost every major issue facing today's world is made more difficult by false interpretations, incorrect assumptions, or a general misunderstanding of how numbers inform narratives and statistics shape stories. New York Times-bestselling author and math popularizer John Allen Paulos has worked for decades to educate readers on not only the formal properties of the numbers, statistics, and probabilities behind news stories, but also what they mean and how they should be interpreted. When we use mathematics to describe the social world, we are always faced with questions: What are we trying to measure or count and how do we decide whom to include, exclude, or qualify? Who's Counting features selected columns from Paulos' well-known ABC News series of the same name collected here in book form for the first time, along with updates and brand-new original essays from the author. The result is a timeless and timely examination of how better understanding data improves our thinking and decision-making. With examples from government, mass media, natural disasters, the COVID-19 pandemic, conspiracy theories, climate change, "fake news," and popular culture, Paulos shows how mathematics and logic are, along with a humble respect for truth, our most basic and reliable guides to reality.

This book is about a famous Hungarian mathematics competition that was founded in 1894, and thus, the oldest mathematics competition for secondary school students organized on a national scale. This book is based on Volumes III and IV of the Hungarian work by Janos Suranyi, covering the years from 1964 to 1997.Hungary, along with Russia, has a well-deserved reputation for proposing important, instructive, and interesting problems. Here, the reader will find a treasure trove of over 100 of them. The solutions are written carefully, giving all the details, and keeping in mind at all times the overall logical structures of the arguments.An outstanding feature of this book is Part II: Discussion. Here, the problems are divided by topics into six groups. It contains a discussion of the topic in general, followed by the basic results, that precedes the discussions of the individual problems. When a student encounters some difficulty in a problem, this part of the book can be consulted without revealing the complete solution. As an alternative, a student can also start with this part to familiarize with the general topic before attempting any problems. Finally, almost 400 additional problems from the legendary KoeMaL (Secondary School Mathematics and Physics Journal) takes the student to mathematical topics beyond competitions.

Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously. Features: Over 300 exercises Suitable for senior undergraduates and graduates studying Mathematics and Physics Written in an accessible style without loss of precision or mathematical rigor Solution manual available on www.routledge.com/9780367468644

Seduction is not just an end result, but a process - and in mathematics, both the end results and the process by which those end results are achieved are often charming and elegant.This helps to explain why so many people - not just those for whom math plays a key role in their day-to-day lives - have found mathematics so seductive. Math is unique among all subjects in that it contains end results of amazing insight and power, and lines of reasoning that are clever, charming, and elegant. This book is a collection of those results and lines of reasoning that make us say, 'OMG, that's just amazing,' - because that's what mathematics is to those who love it. In addition, some of the stories about mathematical discoveries and the people who discovered them are every bit as fascinating as the discoveries themselves.This book contains material capable of being appreciated by students in elementary school - as well as some material that will probably be new to even the more mathematically sophisticated. Most of the book can be easily understood by those whose only math courses are algebra and geometry, and who may have missed the magic, enchantment, and wonder that is the special province of mathematics.

Exam Board: OCR Level: A-level Subject: Mathematics First Teaching: September 2017 First Exam: June 2018 An OCR endorsed textbook Boost your students' knowledge, skills and understanding so that they can reason and apply mathematical techniques in solving problems; with resources developed specifically for the OCR specification by subject experts and in conjunction with MEI (Mathematics in Education and Industry). - Boosts students' confidence approaching assessment with plenty of practice questions and skill-focused exercises. - Build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics. - Ensure targeted development of problem-solving, proof and modelling with dedicated sections on these key areas. - Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples. - Enhance individual understanding with discussion points designed for the classroom and end of chapter summaries of the key points. - Tackle the new statistics requirements with five dedicated statistics chapters and questions around the use of large data sets. - Address the use of technology in Mathematics with a variety of questions based around the use of spreadsheets, graphing software and graphing calculators. - Provide clear paths of progression that combine pure and applied maths into a coherent whole.

Mathematical biology remains a fast-growing topic within applied mathematics. The Mathematical Modeling course is a common and popular course. This book aims to tailor the modeling course to life science applications. It introduces an advanced concept, Sensitivity Analysis, at an undergraduate level. The book will be attractive to any mathematician teaching biology students in a modeling or mathematical biology course.

The issue of mathematics teaching and its impact on learners' attainments in this subject has continuously been on the public agenda. The anthology of chapters in this book consists of varied up-to-date studies of some of the best mathematics education researchers and mathematics teaching experts, exploring the varied aspects of this essential. The book depicts the elementary school mathematics teachers' world while relating to three aspects which comprise the professional environment of mathematics teachers: Teachers' education and teachers' knowledge, Teaching and Teachers' personality. The chapters are written on a level which addresses and might interest a wide readership: researchers, in-service teachers, pre-service teachers, parents and learners.

- Designed for educators to learn from other practitioners about engaging in Lesson Study - Offers specific case studies of US educator learning through Lesson Study - Provides practitioners with resources for Lesson Study as well as planning daily lessons.

- Designed for educators to learn from other practitioners about engaging in Lesson Study - Offers specific case studies of US educator learning through Lesson Study - Provides practitioners with resources for Lesson Study as well as planning daily lessons.

Preparing for the A-Level Maths exams takes a lot of solid practice, which is precisely what you'll find in this superb Exam Practice Workbook. It covers every topic on the Edexcel Maths A-Level course so students can be sure they're prepared for the big day! Packed with exam-style questions, practice papers, useful tips, mark schemes and step-by-step solutions, this book is the perfect companion for students as they revise for their exams. We've sign-posted Problem-Solving and Modelling questions so they can be sure they're focussing their efforts on the right areas, and there's also a new section of more challenging Problem Solving questions - perfect prep for anything the exams might throw at them! Don't miss our matching A-Level Maths Edexcel Complete Revision & Practice book (9781782948087) for notes and examples on every topic.

This volume features the latest scientific developments in the fields of computability theory and logical foundations of mathematics as well as applications. The scope involves the topics of Computability Theory, Reverse Mathematics, Nonstandard Analysis, Proof Theory, Set Theory, Philosophy of Mathematics, Constructive Mathematics, Theory of Randomness and Computational Complexity Theory.

This book explores the idea that mathematics educators and teachers are also problem solvers and learners, and as such they constantly experience mathematical and pedagogical disturbances. Accordingly, many original tasks and learning activities are results of personal mathematical and pedagogical disturbances of their designers, who then transpose these disturbances into learning opportunities for their students. This learning-transposition process is a cornerstone of mathematics teacher education as a lived, developing enterprise. Mathematical Encounters and Pedagogical Detours unfold the process and illustrate it by various examples. The book engages readers in original tasks, shares the results of task implementation and describes how these results inform the development of new tasks, which often intertwine mathematics and pedagogy. Most importantly, the book includes a dialogue between the authors based on the stories of their own learning, which triggers continuous exploration of learning opportunities for their students.