Products related to Mathematics:
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Novel Mathematics Inspired by Industrial Challenges
This contributed volume convenes a rich selection of works with a focus on innovative mathematical methods with applications in real-world, industrial problems.Studies included in this book are all motivated by a relevant industrial challenge, and demonstrate that mathematics for industry can be extremely rewarding, leading to new mathematical methods and sometimes even to entirely new fields within mathematics. The book is organized into two parts: Computational Sciences and Engineering, and Data Analysis and Finance.In every chapter, readers will find a brief description of why such work fits into this volume; an explanation on which industrial challenges have been instrumental for their inspiration; and which methods have been developed as a result.All these contribute to a greater unity of the text, benefiting not only practitioners and professionals seeking information on novel techniques but also graduate students in applied mathematics, engineering, and related fields.
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Mathematics and Politics : Strategy, Voting, Power, and Proof
Why would anyone bid $3. 25 in an auction where the prize is a single dollar bill?Can one “game” explain the apparent irrationality behind both the arms race of the 1980s and the libretto of Puccini’s opera Tosca?How can one calculation suggest the president has 4 percent of the power in the United States federal system while another s- gests that he or she controls 77 percent?Is democracy (in the sense of re?ecting the will of the people) impossible?Questionslikethesequitesurprisinglyprovideaveryniceforumfor some fundamental mathematical activities: symbolic representation and manipulation, model–theoretic analysis, quantitative represen- tionandcalculation,anddeductionasembodiedinthepresentationof mathematical proof as convincing argument.We believe that an ex- sure to aspects of mathematics such as these should be an integral part of a liberal arts education.Our hope is that this book will serve as a text for freshman-sophomore level courses, aimed primarily at students in the humanities and social sciences, that will provide this sort of exposure.A number of colleges and universities already have interdisciplinary freshman seminars where this could take place.Most mathematics texts for nonscience majors try to show that mathematics can be applied to many different disciplines.A student’s viii PREFACE interest in a particular application, however, often depends on his or hergeneralinterestintheareainwhichtheapplicationistakingplace.Our experience at Union College and Williams College has been that there is a real advantage in having students enter the course knowing that virtually all the applications will focus on a single discipline—in this case, political science.
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Mathematics Of Life : Unlocking the Secrets of Existence
A new partnership of biologists and mathematicians is picking apart the hidden complexity of animals and plants to throw fresh light on the behaviour of entire organisms, how they interact and how changes in biological diversity affect the planet's ecological balance.Mathematics offers new and sometimes startling perspectives on evolution and how patterns of inheritance and population work out over time-scales ranging from millions to hundreds of years - as well as what's going on to change us right now. Ian Stewart, in characteristically clear and entertaining fashion, explores these and a whole range of pertinent issues, including how far genes control behaviour and the nature of life itself.He shows how far mathematicians and biologists are succeeding in tackling some of the most difficult scientific problems the human race has ever confronted and where their research is currently taking us.
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Sustainability and Global Challenges : Analysis by Mathematics of Uncertainty
This book focuses on the relationship between Artificial Intelligence (AI) and the Sustainable Development Goals (SDGs).One of the most important issues the world is facing is sustainability.All members of the United Nations adopted Agenda 2030 and the Sustainable Development Goals.Associated with the SDGs are many serious global problems.These problems include climate change, global poverty, global hunger, human trafficking, homelessness, biodiversity, extinction, and terrorism.The author’s purpose is to develop a textbook concerning the SDGs and how they relate to these problems.A recent issue has emerged. That is Artificial Intelligence. AI has tremendous potential to do both good and harm.The book is designed in such a way that it can be used as an undergraduate textbook on sustainability.Consequently, the mathematics involved is kept at a reasonable level.One of the author’s goals is to prepare the reader to further their study of global issues.In particular, to provide them the background needed to examine the three books in the Springer Series Studies in Systems, Decision and Control, volumes 299, 353, and 391.Exercises are provided in the text as well as an instructor's manual.Some topics examined in the book include country achievement of the SDGs, the relationship between human trafficking and the SDGs, climate change, and global problems mentioned above.
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What is the age puzzle in mathematics?
The age puzzle in mathematics is a classic problem that involves finding the ages of two or more people based on given information about their ages. The puzzle typically provides clues about the relationships between the ages of the individuals, such as one person being twice as old as another at a certain point in time. Solving the age puzzle requires using logical reasoning and algebraic equations to determine the specific ages of the individuals. It is a popular problem in recreational mathematics and is often used as a brain teaser or logic puzzle.
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What are the equations for the number puzzle in mathematics?
The number puzzle in mathematics typically involves a set of numbers and an equation that needs to be solved. The equations can vary, but they often include addition, subtraction, multiplication, and division. For example, a number puzzle might be "3 + 4 x 2 - 5 = ?" and the goal is to solve for the missing value. Another example could be "12 / 3 + 5 x 2 = ?" where the order of operations needs to be followed to find the correct answer.
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Business mathematics or pure mathematics?
It ultimately depends on your career goals and interests. Business mathematics focuses on practical applications in business and finance, such as accounting, economics, and statistics. Pure mathematics, on the other hand, delves into theoretical concepts and abstract reasoning, with applications in fields like physics, engineering, and computer science. If you are interested in pursuing a career in business or finance, business mathematics may be more relevant. However, if you are passionate about theoretical concepts and problem-solving, pure mathematics may be a better fit for you.
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What type of mathematics is meant: commercial mathematics or technical mathematics?
The type of mathematics meant in this context is commercial mathematics. Commercial mathematics focuses on practical applications of mathematics in business and finance, such as calculating interest, profit and loss, and managing budgets. It is used in everyday business transactions and financial decision-making. Technical mathematics, on the other hand, is more focused on the theoretical and abstract aspects of mathematics, often used in fields such as engineering, physics, and computer science.
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Combinatorial Mathematics
This long-awaited textbook is the most comprehensive introduction to a broad swath of combinatorial and discrete mathematics.The text covers enumeration, graphs, sets, and methods, and it includes both classical results and more recent developments.Assuming no prior exposure to combinatorics, it explains the basic material for graduate-level students in mathematics and computer science.Optional more advanced material also makes it valuable as a research reference.Suitable for a one-year course or a one-semester introduction, this textbook prepares students to move on to more advanced material.It is organized to emphasize connections among the topics, and facilitate instruction, self-study, and research, with more than 2200 exercises (many accompanied by hints) at various levels of difficulty.Consistent notation and terminology are used throughout, allowing for a discussion of diverse topics in a unified language.The thorough bibliography, containing thousands of citations, makes this a valuable source for students and researchers alike.
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Discrete Mathematics
Biggs' Discrete Mathematics has been a best-selling textbook since the first and revised editions were published in 1986 and 1990, respectively.This second edition has been developed in response to undergraduate course changes and changes in students' needs.New to this edition are chapters on statements and proof, logical framework, and natural numbers and the integers, in addition to updated chapters from the previous edition.The new chapters are presented at a level suitable for mathematics and computer science students seeking a first approach to this broad and highly relevant topic.Each chapter contains newly developed tailored exercises, and miscellaneous exercises are presented throughout, providing the student with over 1000 individual tailored exercises.This edition is accompanied by a website www.oup.com/mathematics/discretemath containing hints and solutions to all exercises presented in the text, providing an invaluable resource for students and lecturers alike.The book is carefully structured, coherent and comprehensive, and is the ideal text for students seeking a clear introduction to discrete mathematics, graph theory, combinatorics, number theory, coding theory and abstract algebra.
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Engineering Mathematics
Engineering Mathematics is the unparalleled undergraduate textbook for students of electrical, electronic, communications and systems engineering. Tried and tested over many years, this widely used textbook is now in its 5th edition, having been fully updated and revised. This new edition includes an even greater emphasis on the application of mathematics within a range of engineering contexts. It features detailed explanation of why a technique is important to engineers. In addition, it provides essential guidance in how to use mathematics to solve engineering problems.This approach ensures a deep and practical understanding of the role of mathematics in modern engineering.
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Mathematics I
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Economic mathematics, business informatics, or teaching mathematics?
The choice between economic mathematics, business informatics, or teaching mathematics ultimately depends on your interests and career goals. Economic mathematics combines mathematical techniques with economic theory to analyze and solve complex economic problems. Business informatics focuses on using information technology to improve business processes and decision-making. Teaching mathematics involves educating others on mathematical concepts and skills. Consider your strengths, interests, and long-term career aspirations to make an informed decision on which path to pursue.
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Why mathematics?
Mathematics is a fundamental tool for understanding the world around us. It provides a framework for solving problems, making predictions, and analyzing data. Additionally, mathematics is essential for many fields such as science, engineering, economics, and computer science. It also helps develop critical thinking and problem-solving skills that are valuable in everyday life. Overall, mathematics is important because it helps us make sense of the world and empowers us to make informed decisions.
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Is the mathematics in a mathematics degree the most difficult mathematics there is?
The mathematics in a mathematics degree is certainly challenging, but it may not necessarily be the most difficult mathematics there is. The difficulty of mathematics can vary depending on the specific area of study, the individual's aptitude and background, and the level of abstraction and complexity involved. Advanced topics in pure mathematics, theoretical physics, and certain areas of applied mathematics can be extremely challenging and may surpass the difficulty level of undergraduate mathematics courses. Additionally, the difficulty of mathematics is subjective and can vary from person to person.
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Should I study business mathematics or pure mathematics?
The decision to study business mathematics or pure mathematics depends on your career goals and interests. If you are interested in pursuing a career in business, finance, economics, or any field that requires practical applications of mathematics, then studying business mathematics would be more beneficial. On the other hand, if you have a passion for theoretical mathematics and are interested in pursuing a career in academia, research, or pure mathematics, then studying pure mathematics would be the better choice. Consider your long-term goals and interests to make an informed decision.
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