Mathematical Geoscience

Author: Andrew Fowler

Publisher: Springer Science & Business Media

ISBN: 9780857297211

Category: Mathematics

Page: 883

View: 1011

Mathematical Geoscience is an expository textbook which aims to provide a comprehensive overview of a number of different subjects within the Earth and environmental sciences. Uniquely, it treats its subjects from the perspective of mathematical modelling with a level of sophistication that is appropriate to their proper investigation. The material ranges from the introductory level, where it can be used in undergraduate or graduate courses, to research questions of current interest. The chapters end with notes and references, which provide an entry point into the literature, as well as allowing discursive pointers to further research avenues. The introductory chapter provides a condensed synopsis of applied mathematical techniques of analysis, as used in modern applied mathematical modelling. There follows a succession of chapters on climate, ocean and atmosphere dynamics, rivers, dunes, landscape formation, groundwater flow, mantle convection, magma transport, glaciers and ice sheets, and sub-glacial floods. This book introduces a whole range of important geoscientific topics in one single volume and serves as an entry point for a rapidly expanding area of genuine interdisciplinary research. By addressing the interplay between mathematics and the real world, this book will appeal to graduate students, lecturers and researchers in the fields of applied mathematics, the environmental sciences and engineering.

Mathematical Methods for Geophysics and Space Physics

Author: William I. Newman

Publisher: Princeton University Press

ISBN: 1400882826

Category: Science

Page: 272

View: 6860

Graduate students in the natural sciences—including not only geophysics and space physics but also atmospheric and planetary physics, ocean sciences, and astronomy—need a broad-based mathematical toolbox to facilitate their research. In addition, they need to survey a wider array of mathematical methods that, while outside their particular areas of expertise, are important in related ones. While it is unrealistic to expect them to develop an encyclopedic knowledge of all the methods that are out there, they need to know how and where to obtain reliable and effective insights into these broader areas. Here at last is a graduate textbook that provides these students with the mathematical skills they need to succeed in today's highly interdisciplinary research environment. This authoritative and accessible book covers everything from the elements of vector and tensor analysis to ordinary differential equations, special functions, and chaos and fractals. Other topics include integral transforms, complex analysis, and inverse theory; partial differential equations of mathematical geophysics; probability, statistics, and computational methods; and much more. Proven in the classroom, Mathematical Methods for Geophysics and Space Physics features numerous exercises throughout as well as suggestions for further reading. Provides an authoritative and accessible introduction to the subject Covers vector and tensor analysis, ordinary differential equations, integrals and approximations, Fourier transforms, diffusion and dispersion, sound waves and perturbation theory, randomness in data, and a host of other topics Features numerous exercises throughout Ideal for students and researchers alike An online illustration package is available to professors

Continuum Mechanics in the Earth Sciences

Author: William I. Newman

Publisher: Cambridge University Press

ISBN: 0521562899

Category: Science

Page: 182

View: 8370

This interdisciplinary book provides graduate students in geophysics, planetary physics and geology with a class-tested, accessible overview of continuum mechanics.

Mathematics of Planet Earth

Proceedings of the 15th Annual Conference of the International Association for Mathematical Geosciences

Author: Eulogio Pardo-Igúzquiza,Carolina Guardiola-Albert,Javier Heredia,Luis Moreno-Merino,Juan José Durán,Jose Antonio Vargas-Guzmán

Publisher: Springer Science & Business Media

ISBN: 3642324088

Category: Science

Page: 861

View: 9180

It is widely recognized that the degree of development of a science is given by the transition from a mainly descriptive stage to a more quantitative stage. In this transition, qualitative interpretations (conceptual models) are complemented with quantification (numerical models, both, deterministic and stochastic). This has been the main task of mathematical geoscientists during the last forty years - to establish new frontiers and new challenges in the study and understanding of the natural world. Mathematics of Planet Earth comprises the proceedings of the International Association for Mathematical Geosciences Conference (IAMG2013), held in Madrid from September 2-6, 2013. The Conference addresses researchers, professionals and students. The proceedings contain more than 150 original contributions and give a multidisciplinary vision of mathematical geosciences.

Interdisciplinary Mathematics Education

A State of the Art

Author: Julian Williams,Wolff-Michael Roth,David Swanson,Brian Doig,Susie Groves,Michael Omuvwie,Rita Borromeo Ferri,Nicholas Mousoulides

Publisher: Springer

ISBN: 3319422677

Category: Education

Page: 36

View: 6699

This book provides an essential introduction to the state-of the-art in interdisciplinary Mathematics Education. First, it begins with an outline of the field’s relevant historical, conceptual and theoretical backgrounds, what “discipline” means and how inter-, trans-, and meta-disciplinary activities can be understood. Relevant theoretical perspectives from Marx, Foucault and Vygotsky are explained, along with key ideas in theory, e.g. boundaries, discourses, identity, and the division of labour in practice. Second, the book reviews research findings of mainly empirical studies on interdisciplinary work involving mathematics in education, in all stages of education that have become disciplined. For example, it reports that a common theme in studies in middle and high schools is assessing the motivational benefits for the learner of subsuming disciplinary motives and even practices to extra-academic problem-solving activities; this is counter-balanced by the effort needed to overcome the disciplinary boundaries in academic institutions, and in professional identities. These disciplinary boundaries are less obviously limitations in middle and primary schools, and in some vocational courses. Third and finally, it explores selected case studies that illustrate these concepts and findings, both in terms of the motivational benefits for learners and the institutional and other boundaries involved.

The Survival of a Mathematician

From Tenure-track to Emeritus

Author: Steven George Krantz

Publisher: American Mathematical Soc.

ISBN: 0821846299

Category: Mathematics

Page: 310

View: 2817

"One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.

Beautiful, Simple, Exact, Crazy

Mathematics in the Real World

Author: Apoorva Khare,Anna Lachowska

Publisher: Yale University Press

ISBN: 0300190891

Category: Mathematics

Page: 480

View: 6003

In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are similar to knights serving as messengers for their traveling prince. Ideal for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska s enlightening mathematics tour will appeal to a wide audience."

Mathematics Applied in Information Systems

Author: Mangey Ram

Publisher: Frontiers in Information Syste

ISBN: 9781681087146

Category: Computers

Page: 298

View: 9518

Recent developments in information science and technology have been possible due to original and timely research contributions containing new results in various fields of applied mathematics. It is also true that advances in information science create opportunities for developing mathematical models further. Mathematics Applied in Information Systems presents a series of reviews of mathematical methods applied to information systems. Readers will find, in this volume, chapters that cover mathematics applied in various vistas of information systems: - software reliability modeling and optimizations, - software release control, - natural language processing and social network analysis, - food safety systems, - soil scattering models, - digital imaging processing, - supply chain management systems This volume is essential reading for software engineering students and IT managers working in academia and industry (geosciences, supply chain management, software development, forensics, transportation etc.).

Mathematics for the Environment

Author: Martin Walter

Publisher: CRC Press

ISBN: 1439884595

Category: Mathematics

Page: 679

View: 9568

Mathematics for the Environment shows how to employ simple mathematical tools, such as arithmetic, to uncover fundamental conflicts between the logic of human civilization and the logic of Nature. These tools can then be used to understand and effectively deal with economic, environmental, and social issues. With elementary mathematics, the book seeks answers to a host of real-life questions, including: How safe is our food and will it be affordable in the future? What are the simple lessons to be learned from the economic meltdown of 2008–2009? Is global climate change happening? Were some humans really doing serious mathematical thinking 50,000 years ago? What does the second law of thermodynamics have to do with economics? How can identity theft be prevented? What does a mathematical proof prove? A truly interdisciplinary, concrete study of mathematics, this classroom-tested text discusses the importance of certain mathematical principles and concepts, such as fuzzy logic, feedback, deductive systems, fractions, and logarithms, in various areas other than pure mathematics. It teaches students how to make informed choices using fundamental mathematical tools, encouraging them to find solutions to critical real-world problems.

Quantitative Graph Theory

Mathematical Foundations and Applications

Author: Matthias Dehmer,Frank Emmert-Streib

Publisher: CRC Press

ISBN: 1466584513

Category: Computers

Page: 528

View: 647

The first book devoted exclusively to quantitative graph theory, Quantitative Graph Theory: Mathematical Foundations and Applications presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information theory, measurement theory, and statistical techniques, this book covers a wide range of quantitative-graph theoretical concepts and methods, including those pertaining to real and random graphs such as: Comparative approaches (graph similarity or distance) Graph measures to characterize graphs quantitatively Applications of graph measures in social network analysis and other disciplines Metrical properties of graphs and measures Mathematical properties of quantitative methods or measures in graph theory Network complexity measures and other topological indices Quantitative approaches to graphs using machine learning (e.g., clustering) Graph measures and statistics Information-theoretic methods to analyze graphs quantitatively (e.g., entropy) Through its broad coverage, Quantitative Graph Theory: Mathematical Foundations and Applications fills a gap in the contemporary literature of discrete and applied mathematics, computer science, systems biology, and related disciplines. It is intended for researchers as well as graduate and advanced undergraduate students in the fields of mathematics, computer science, mathematical chemistry, cheminformatics, physics, bioinformatics, and systems biology.

101 Careers in Mathematics, 3rd Edition

Author: Andrew Sterrett

Publisher: The Mathematical Association of America

ISBN: 0883857863

Category: Business & Economics

Page: 334

View: 7776

This third edition of the immensely popular 101 Careers in Mathematics contains updates on the career paths of individuals profiled in the first and second editions, along with many new profiles. No career counselor should be without this valuable resource. The authors of the essays in this volume describe a wide variety of careers for which a background in the mathematical sciences is useful. Each of the jobs presented shows real people in real jobs. Their individual histories demonstrate how the study of mathematics was useful in landing well-paying jobs in predictable places such as IBM, AT&T, and American Airlines, and in surprising places such as FedEx Corporation, L.L. Bean, and Perdue Farms, Inc. You will also learn about job opportunities in the Federal Government as well as exciting careers in the arts, sculpture, music, and television. There are really no limits to what you can do if you are well prepared in mathematics. The degrees earned by the authors profiled here range from bachelor’s to master’s to PhD in approximately equal numbers. Most of the writers use the mathematical sciences on a daily basis in their work. Others rely on the general problem-solving skills acquired in mathematics as they deal with complex issues.

Introduction to Asymptotic Methods

Author: David Y. Gao,Vadim A. Krysko

Publisher: CRC Press

ISBN: 9781420011739

Category: Mathematics

Page: 272

View: 4829

Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important methods of singular perturbations within the scope of application of differential equations. The authors take a challenging and original approach based on the integrated mathematical-analytical treatment of various objects taken from interdisciplinary fields of mechanics, physics, and applied mathematics. This new hybrid approach will lead to results that cannot be obtained by standard theories in the field. Emphasizing fundamental elements of the mathematical modeling process, the book provides comprehensive coverage of asymptotic approaches, regular and singular perturbations, one-dimensional non-stationary non-linear waves, Padé approximations, oscillators with negative Duffing type stiffness, and differential equations with discontinuous nonlinearities. The book also offers a method of construction for canonical variables transformation in parametric form along with a number of examples and applications. The book is applications oriented and features results and literature citations that have not been seen in the Western Scientific Community. The authors emphasize the dynamics of the development of perturbation methods and present the development of ideas associated with this wide field of research.

Pearls of Discrete Mathematics

Author: Martin Erickson

Publisher: CRC Press

ISBN: 1439816174

Category: Computers

Page: 280

View: 4144

Methods Used to Solve Discrete Math Problems Interesting examples highlight the interdisciplinary nature of this area Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics. Each chapter begins with a mathematical teaser to engage readers and includes a particularly surprising, stunning, elegant, or unusual result. The author covers the upward extension of Pascal’s triangle, a recurrence relation for powers of Fibonacci numbers, ways to make change for a million dollars, integer triangles, the period of Alcuin’s sequence, and Rook and Queen paths and the equivalent Nim and Wythoff’s Nim games. He also examines the probability of a perfect bridge hand, random tournaments, a Fibonacci-like sequence of composite numbers, Shannon’s theorems of information theory, higher-dimensional tic-tac-toe, animal achievement and avoidance games, and an algorithm for solving Sudoku puzzles and polycube packing problems. Exercises ranging from easy to challenging are found in each chapter while hints and solutions are provided in an appendix. With over twenty-five years of teaching experience, the author takes an organic approach that explores concrete problems, introduces theory, and adds generalizations as needed. He delivers an absorbing treatment of the basic principles of discrete mathematics.

Facilitating Interdisciplinary Research

Author: Institute of Medicine,National Academy of Engineering,National Academy of Sciences,Committee on Science, Engineering, and Public Policy,Committee on Facilitating Interdisciplinary Research

Publisher: National Academies Press

ISBN: 9780309165488

Category: Science

Page: 332

View: 1985

Facilitating Interdisciplinary Research examines current interdisciplinary research efforts and recommends ways to stimulate and support such research. Advances in science and engineering increasingly require the collaboration of scholars from various fields. This shift is driven by the need to address complex problems that cut across traditional disciplines, and the capacity of new technologies to both transform existing disciplines and generate new ones. At the same time, however, interdisciplinary research can be impeded by policies on hiring, promotion, tenure, proposal review, and resource allocation that favor traditional disciplines. This report identifies steps that researchers, teachers, students, institutions, funding organizations, and disciplinary societies can take to more effectively conduct, facilitate, and evaluate interdisciplinary research programs and projects. Throughout the report key concepts are illustrated with case studies and results of the committee’s surveys of individual researchers and university provosts.

Mathematics of Quantum Computation

Author: Ranee K. Brylinski,Goong Chen

Publisher: CRC Press

ISBN: 1420035371

Category: Mathematics

Page: 448

View: 2019

Among the most exciting developments in science today is the design and construction of the quantum computer. Its realization will be the result of multidisciplinary efforts, but ultimately, it is mathematics that lies at the heart of theoretical quantum computer science. Mathematics of Quantum Computation brings together leading computer scientists, mathematicians, and physicists to provide the first interdisciplinary but mathematically focused exploration of the field's foundations and state of the art. Each section of the book addresses an area of major research, and does so with introductory material that brings newcomers quickly up to speed. Chapters that are more advanced include recent developments not yet published in the open literature. Information technology will inevitably enter into the realm of quantum mechanics, and, more than all the atomic, molecular, optical, and nanotechnology advances, it is the device-independent mathematics that is the foundation of quantum computer and information science. Mathematics of Quantum Computation offers the first up-to-date coverage that has the technical depth and breadth needed by those interested in the challenges being confronted at the frontiers of research.

Mathematical and Experimental Modeling of Physical and Biological Processes

Author: H.T. Banks,H.T. Tran

Publisher: CRC Press

ISBN: 9781420073386

Category: Mathematics

Page: 298

View: 4192

Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering. For each case study problem, the authors discuss why a model is needed and what goals can be achieved with the model. Exploring what mathematics can reveal about applications, the book focuses on the design of appropriate experiments to validate the development of mathematical models. It guides students through the modeling process, from empirical observations and formalization of properties to model analysis and interpretation of results. The authors also describe the hardware and software tools used to design the experiments so faculty/students can duplicate them. Integrating real-world applications into the traditional mathematics curriculum, this textbook deals with the formulation and analysis of mathematical models in science and engineering. It gives students an appreciation of the use of mathematics and encourages them to further study the applied topics. Real experimental data for projects can be downloaded from CRC Press Online.

Mathematics of Quantum Computation and Quantum Technology

Author: Louis Kauffman,Samuel J. Lomonaco

Publisher: CRC Press

ISBN: 9781584889007

Category: Science

Page: 624

View: 4494

Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation and Quantum Technology explores the rapid mathematical advancements made in this field in recent years. Novel Viewpoints on Numerous Aspects of Quantum Computing and Technology Edited by a well-respected team of experts, this volume compiles contributions from specialists across various disciplines. It contains four main parts, beginning with topics in quantum computing that include quantum algorithms and hidden subgroups, quantum search, algorithmic complexity, and quantum simulation. The next section covers quantum technology, such as mathematical tools, quantum wave functions, superconducting quantum computing interference devices (SQUIDs), and optical quantum computing. The section on quantum information deals with error correction, cryptography, entanglement, and communication. The final part explores topological quantum computation, knot theory, category algebra, and logic. The Tools You Need to Tackle the Next Generation of Quantum Technology This book facilitates both the construction of a common quantum language and the development of interdisciplinary quantum techniques, which will aid efforts in the pursuit of the ultimate goal-a "real" scalable quantum computer.

The Mathematical Sciences in 2025

Author: Committee on the Mathematical Sciences in 2025,Board on Mathematical Sciences and Their Applications,Division on Engineering and Physical Sciences,National Research Council

Publisher: National Academies Press

ISBN: 0309284570

Category: Mathematics

Page: 205

View: 8793

The mathematical sciences are part of nearly all aspects of everyday life--the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.

3D Printed Science Projects Volume 2

Physics, Math, Engineering and Geology Models

Author: Joan Horvath,Rich Cameron

Publisher: Apress

ISBN: 148422695X

Category: Computers

Page: 181

View: 4820

Learn physics, engineering, and geology concepts usually seen in high school and college in an easy, accessible style. This second volume addresses these topics for advanced science fair participants or those who just like reading about and understanding science. 3D Printed Science Project Volume 2 describes eight open-source 3D printable models, as well as creative activities using the resulting 3D printed pieces. The files are designed to print as easily as possible, and the authors give tips for printing them on open source printers. As 3D printers become more and more common and affordable, hobbyists, teachers, parents, and students stall out once they've printed some toys and a few household items. To get beyond this, most people benefit from a “starter set” of objects as a beginning point in their explorations, partially just to see what is possible. This book tells you the solid science stories that these models offer, and provides them in open-source repositories. What You Will Learn Create (and present the science behind) 3D printed models Review innovative ideas for tactile ways to learn concepts in engineering, geology and physics Learn what makes a models easy or hard to 3D print Who This Book Is For The technology- squeamish teacher and parents who want their kids to learn something from their 3D printer but don’t know how, as well as high schoolers and undergraduates.