What Is A Mathematical Concept
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Mathematical Concepts
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Author : Jürgen Jost
language : en
Publisher: Springer
Release Date : 2015-09-10
Mathematical Concepts written by Jürgen Jost and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-10 with Mathematics categories.
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detailed than standard mathematical textbooks so that the reader can readily grasp the essential concepts and ideas for individual needs. It will be suitable for advanced mathematicians, postgraduate students and for scientists from other fields with some background in formal reasoning.
Mathematical Concepts For Mechanical Engineering Design
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Author : Kaveh Hariri Asli
language : en
Publisher: CRC Press
Release Date : 2013-12-07
Mathematical Concepts For Mechanical Engineering Design written by Kaveh Hariri Asli and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-07 with Technology & Engineering categories.
Mathematical Concepts for Mechanical Engineering Design provides a broad understanding of the main computational techniques used for simulation of water distribution networks and water transmission systems. It introduces the theoretical background to a number of techniques and general data analysis techniques. The book also examines the application of techniques in an industrial setting, including current practices and current research, are presented. It provides practical experience of commercially available systems and includes a small-scale water systems related projects. The authors illustrate the concepts and techniques covered in the book by using a calculation that simulates water distribution networks and water transmission systems. The book also covers significant research on new methodologies and important applications in the fields of automation and control as well as includes the latest coverage of chemical databases and the development of new computational methods and efficient algorithms for hydraulic software and mechanical engineering. The book will be informative and useful to both academics and mechanical engineers in various industrial sectors, including hydraulic and mechanical engineering.
Conceptual Mathematics
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Author : F. William Lawvere
language : en
Publisher: Cambridge University Press
Release Date : 2009-07-30
Conceptual Mathematics written by F. William Lawvere and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-30 with Mathematics categories.
In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning students and also to practising mathematical scientists. This book provides a skeleton key that makes explicit some concepts and procedures that are common to all branches of pure and applied mathematics. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by examples in these categories. This second edition provides links with more advanced topics of possible study. In the new appendices and annotated bibliography the reader will find concise introductions to adjoint functors and geometrical structures, as well as sketches of relevant historical developments.
Mathematical Concepts And Methods In Modern Biology
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Author : Raina Robeva
language : en
Publisher: Academic Press
Release Date : 2013-02-26
Mathematical Concepts And Methods In Modern Biology written by Raina Robeva and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-26 with Mathematics categories.
Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software. - Features self-contained chapters with real biological research examples using freely available computational tools - Spans several mathematical techniques at basic to advanced levels - Offers broad perspective on the uses of algebraic geometry/polynomial algebra in molecular systems biology
What Is A Mathematical Concept
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Author : Elizabeth de Freitas
language : en
Publisher: Cambridge University Press
Release Date : 2017-06-22
What Is A Mathematical Concept written by Elizabeth de Freitas and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-22 with Education categories.
Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?
Mathematical Concepts Of Quantum Mechanics
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Author : Stephen J. Gustafson
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-24
Mathematical Concepts Of Quantum Mechanics written by Stephen J. Gustafson 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 2011-09-24 with Mathematics categories.
The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory.
A Concept Of Limits
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Author : Donald W. Hight
language : en
Publisher: Courier Corporation
Release Date : 2012-07-17
A Concept Of Limits written by Donald W. Hight and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-17 with Mathematics categories.
An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. Many exercises with solutions. 1966 edition.
Formal Concept Analysis
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Author : Bernhard Ganter
language : en
Publisher: Springer Nature
Release Date : 2024-07-30
Formal Concept Analysis written by Bernhard Ganter and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-30 with Computers categories.
Formal Concept Analysis is a field of applied mathematics based on the mathematization of concept and conceptual hierarchy. It thereby activates mathematical thinking for conceptual data analysis and knowledge processing. The underlying notion of “concept” evolved early in the philosophical theory of concepts and still has effects today. In mathematics it played a special role during the emergence of mathematical logic in the 19th century. Subsequently, however, it had virtually no impact on mathematical thinking. It was not until 1979 that the topic was revisited and treated more thoroughly. Since then, Formal Concept Analysis has fully emerged, sparking a multitude of publications for which the first edition of this textbook established itself as the standard reference in the literature, with a total of 10000+ citations. This is the second edition, revised and extended, of the textbook published originally in German (1996) and translated into English (1999), giving a systematic presentation of the mathematical foundations while also focusing on their possible applications for data analysis and knowledge processing. In times of digital knowledge processing, formal methods of conceptual analysis are gaining in importance. The book makes the basic theory for such methods accessible in a compact form, and presents graphical methods for representing concept systems that have proved themselves essential in communicating knowledge. The textbook complements each chapter with further notes, references and trends, putting the work in modern context and highlighting potential directions for further research. Additionally, the book contains an entirely new chapter on contextual concept logic, including a section on description logics and relational concept analysis. As such, it should be a valuable resource for students, instructors and researchers at the crossroads of subject areas like Applied and Discrete Mathematics, Logics, Theoretical Computer Science, Knowledge Processing, Data Science, and is meant to be used both for research and in class, as a teaching resource.
Concepts Of Mathematical Modeling
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Author : Walter J. Meyer
language : en
Publisher: Courier Corporation
Release Date : 2012-10-23
Concepts Of Mathematical Modeling written by Walter J. Meyer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-23 with Mathematics categories.
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each section is preceded by an abstract and statement of prerequisites, and answers or hints are provided for selected exercises. 1984 edition.
Real Life Math
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Author : Evan M. Glazer
language : en
Publisher: Greenwood
Release Date : 2002-07-30
Real Life Math written by Evan M. Glazer and has been published by Greenwood this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-30 with Science categories.
Provides insights into the many connections between mathematics applications and the real world. Math concepts are presented with multiple examples of how each is applied in everyday environments, such as the workplace, nature, science, sports, and even parking.