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Books > Science & Mathematics > Mathematics
Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations examines how to introduce intuitionistic-type negations into RM-semantics. RM-semantics is highly malleable and capable of modeling families of logics which are very different from each other. This semantics was introduced in the early 1970s, and was devised for interpreting relevance logics. In RM-semantics, negation is interpreted by means of the Routley operator, which has been almost exclusively used for modeling De Morgan negations. This book provides research on particular features of intuitionistic-type of negations in RM-semantics, while also defining the basic systems and many of their extensions by using models with or without a set of designated points.
Quantifying and Managing Soil Functions in Earth's Critical Zone: Combining Experimentation and Mathematical Modelling, Volume 142, the latest in the Advances in Agronomy series continues its reputation as a leading reference and first-rate source for the latest research in agronomy. Each volume contains an eclectic group of reviews by leading scientists throughout the world. Five volumes are published yearly, ensuring that the authors' contributions are disseminated to the readership in a timely manner. As always, the subjects covered are varied and exemplary of the myriad of subject matter dealt with by this long-running serial.
A Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models. The book supports that in H-infinity control, the linear fractional transformation formulation is relying on the inverse of the block matrix. If the block matrix is not regular, the H-infinity control does not apply any more in the normal framework. Therefore, it is very important to relax those restrictions to generalize the classical notions and models to include some non-regular cases. This book is ideal for scholars, academics, professional engineer and students who are interested in control system theory.
Engineering is mathematics in action. But engineering students do not always see the link between what they learn in mathematics and how this applies to engineering problems. From relatively simple questions, like determining the maximum weight a beam can support to complex projects like mapping out the most efficient electrical flow for a city’s traffic lights, mathematics is essential.
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ Principia Mathematica, Volume 2; Principia Mathematica; Bertrand Russell Alfred North Whitehead, Bertrand Russell University Press, 1912 Logic, Symbolic and mathematical; Mathematics
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ Principia Mathematica, Volume 2; Principia Mathematica; Bertrand Russell Alfred North Whitehead, Bertrand Russell University Press, 1912 Logic, Symbolic and mathematical; Mathematics
This book introduces the fundamentals of financial mathematics. It begins with a discussion of simple and compound interest and then establishes the important concepts of effective and equivalent effective interest rates. Subsequent chapters discuss the applications of annuities to practical problems regarding the saving of money and repayment of loans. The notion of using net present value and internal rate of return to distinguish between two different investment opportunities is presented. The concluding chapters of the book take a brief look at the use of differential and integral calculus in financial mathematics. Each chapter includes numerous worked examples that are solved with the aid of a financial calculator where applicable.
Teaches Students How to Perform Spatio-Temporal Analyses within Epidemiological Studies Spatio-Temporal Methods in Environmental Epidemiology is the first book of its kind to specifically address the interface between environmental epidemiology and spatio-temporal modeling. In response to the growing need for collaboration between statisticians and environmental epidemiologists, the book links recent developments in spatio-temporal methodology with epidemiological applications. Drawing on real-life problems, it provides the necessary tools to exploit advances in methodology when assessing the health risks associated with environmental hazards. The book's clear guidelines enable the implementation of the methodology and estimation of risks in practice. Designed for graduate students in both epidemiology and statistics, the text covers a wide range of topics, from an introduction to epidemiological principles and the foundations of spatio-temporal modeling to new research directions. It describes traditional and Bayesian approaches and presents the theory of spatial, temporal, and spatio-temporal modeling in the context of its application to environmental epidemiology. The text includes practical examples together with embedded R code, details of specific R packages, and the use of other software, such as WinBUGS/OpenBUGS and integrated nested Laplace approximations (INLA). A supplementary website provides additional code, data, examples, exercises, lab projects, and more. Representing a major new direction in environmental epidemiology, this book-in full color throughout-underscores the increasing need to consider dependencies in both space and time when modeling epidemiological data. Students will learn how to identify and model patterns in spatio-temporal data as well as exploit dependencies over space and time to reduce bias and inefficiency.
This volume is number five in the 11-volume "Handbook of the
History of Logic." It covers the first 50 years of the development
of mathematical logic in the 20th century, and concentrates on the
achievements of the great names of the period--Russell, Post,
Godel, Tarski, Church, and the like. This was the period in which
mathematical logic gave mature expression to its four main parts:
set theory, model theory, proof theory and recursion theory.
Collectively, this work ranks as one of the greatest achievements
of our intellectual history. Written by leading researchers in the
field, both this volume and the Handbook as a whole are definitive
reference tools for senior undergraduates, graduate students and
researchers in the history of logic, the history of philosophy, and
any discipline, such as mathematics, computer science, and
artificial intelligence, for whom the historical background of his
or her work is a salient consideration.
New Publication! Based on years of experience and prior publications, the NEW two-volume book, STEM RESEARCH for STUDENTS, is a vital resource for K-12 teachers, higher education faculty, and their students. In Volume Two, students build upon a strong foundation to create original STEM projects: Brainstorm ideas for projects; Analyze and address the safety risks involved in a project; Use the library and Web to expand understanding and develop a valid idea; Conduct a group mini-project which involves readily-available materials in the classroom, on a field site, or at a community location. Use algebra to represent patterns and develop mathematical models; Use statistics to detect the significance of relationships; and Communicate project findings through formal papers, visual presentations, and interactions with peers or judges. STEM Research for Students, Volume 2 is: Student friendly! Each chapter is carefully sequenced and contains a variety of formative assessment tools. Key definitions are included in an appendix. Essential foundational knowledge from Volume 1 is clearly referenced. STEM encompassing! Students have multiple opportunities to make connections by applying information from the various chapters to original projects. Teacher enhanced! Each chapter contains learning objectives and assessment tools checklists or rubrics. Answers to the practice sets are available on a secure Kendall Hunt web site. Standards aligned! All chapters are aligned with the Next Generation Science Standards, Common Core Standards for Mathematics and Literacy in Science and Technical Subjects, and the International Standards for Technology in Education Standards for Students. Available in print and e-Book formats, STEM Research for Students, Volume 2, may be used: As a supplemental text in middle school, high school, and introductory college courses; As core text for research classes and STEM clubs where students are ready to engage in group or individual projects: For pre-service and in-service teachers of science, mathematics, career and technical courses, and gifted students; As a resource for all teachers involved with experiments, engineering designs, mathematical investigations, and competitive STEM projects. The companion volume, STEM Research for Students, Volume 1, is a resource for students to acquire or strengthen the foundational knowledge necessary to engage in an original project.
New Publication! Based on years of experience and prior publications, the NEW two-volume book, STEM RESEARCH for STUDENTS, is a vital resource for K-12 teachers, higher education faculty, and their students. In Volume One, students acquire the fundamentals and apply them to their investigations: Conduct experiments and refine the design and procedures; Construct data tables and graphs, use descriptive statistics, and make sense of an experiment; Meet a human need by designing, building, and testing a model; Communicate findings through reports and interactions with peers; Apply mathematical concepts to data including ratio and proportional relationships, geometry and measurement, algebra, and statistics. STEM Research for Students, Volume 1, is: Student friendly! Chapters contain investigations with readily available materials, explanations of major concepts, practice sets, and formative assessment tools. Use as a sequence or as individual units of study for specific content. STEM encompassing! For each core experiment, students have multiple options for making connections to various scientific disciplines, engineering, and mathematics. Teacher enhanced! Each chapter contains learning objectives and assessment tools checklists or rubrics. Answers to the practice sets are available on a secure Kendall Hunt web site. Standards aligned! All chapters are aligned with the Next Generation Science Standards, Common Core Standards for Mathematics and Literacy in Science and Technical Subjects, and the International Standards for Technology in Education Standards for Students. Available in print and e-Book formats, STEM Research for Students, Volume 1, may be used: As a supplemental text in upper elementary, middle, and senior high classrooms; As a core text for introductory research courses and STEM research clubs; For pre-service and in-service teachers of science, mathematics, career and technical courses, and gifted students; As a resource for all teachers involved with experiments, engineering designs, mathematical investigations, and competitive STEM projects. The companion volume, STEM Research for Students, Volume 2 enables students to build upon this strong foundation and create effective science experiments, engineering designs, and mathematical investigations.
This book provides a rigorous, physics-focused introduction to set theory that is geared towards natural science majors. The science major is presented with a robust introduction to set theory, which concentrates on the specific knowledge and skills that will be needed in calculus topics and natural science topics in general.
This book continues the ICTMA tradition of influencing teaching and
learning in the application of mathematical modelling. Each chapter
shows how real life problems can be discussed during university
lectures, in school classrooms and industrial research.
International experts contribute their knowledge and experience by
providing analysis, insight and comment whilst tackling large and
complex problems by applying mathematical modelling. This book
covers the proceedings from the Twelfth International Conference on
the Teaching of Mathematical Modelling and Applications.
Linearity plays a critical role in the study of elementary
differential equations; linear differential equations, especially
systems thereof, demonstrate a fundamental application of linear
algebra. In Differential Equations with Linear Algebra, we explore
this interplay between linear algebra and differential equations
and examine introductory and important ideas in each, usually
through the lens of important problems that involve differential
equations. Written at a sophomore level, the text is accessible to
students who have completed multivariable calculus. With a
systems-first approach, the book is appropriate for courses for
majors in mathematics, science, and engineering that study systems
of differential equations.
Modelling and Control in Biomedical Systems (including Biological
Systems) was held in Reims, France, 20-22 August 2006. This
Symposium was organised by the University of Reims Champagne
Ardenne and the Societe de l Electricite, de l Electronique et des
TIC (SEE).
Infinite Words is an important theory in both Mathematics and
Computer Sciences. Many new developments have been made in the
field, encouraged by its application to problems in computer
science. Infinite Words is the first manual devoted to this topic.
Developed for the new International A Level specification, these new resources are specifically designed for international students, with a strong focus on progression, recognition and transferable skills, allowing learning in a local context to a global standard. Recognised by universities worldwide and fully comparable to UK reformed GCE A levels. Supports a modular approach, in line with the specification. Appropriate international content puts learning in a real-world context, to a global standard, making it engaging and relevant for all learners. Reviewed by a language specialist to ensure materials are written in a clear and accessible style. The embedded transferable skills, needed for progression to higher education and employment, are signposted so students understand what skills they are developing and therefore go on to use these skills more effectively in the future. Exam practice provides opportunities to assess understanding and progress, so students can make the best progress they can.
This book is carefully designed to be used on a wide range of
introductory courses at first degree and HND level in the U.K.,
with content matched to a variety of first year degree modules from
IEng and other BSc Engineering and Technology courses. Lecturers
will find the breadth of material covered gears the book towards a
flexible style of use, which can be tailored to their syllabus, and
used along side the other IIE Core Textbooks to bring first year
students up to speed on the mathematics they require for their
engineering degree.
Working through this student-centred text readers will be brought
up to speed with the modelling of control systems using Laplace,
and given a solid grounding of the pivotal role of control systems
across the spectrum of modern engineering. A clear, readable text
is supported by numerous worked example and problems.
This updated and revised edition of a widely acclaimed and
successful text for undergraduates examines topology of recent
compact surfaces through the development of simple ideas in plane
geometry. Containing over 171 diagrams, the approach allows for a
straightforward treatment of its subject area. It is particularly
attractive for its wealth of applications and variety of
interactions with branches of mathematics, linked with surface
topology, graph theory, group theory, vector field theory, and
plane Euclidean and non-Euclidean geometry.
This book describes the use of models in process engineering.
Process engineering is all about manufacturing--of just about
anything! To manage processing and manufacturing systematically,
the engineer has to bring together many different techniques and
analyses of the interaction between various aspects of the process.
For example, process engineers would apply models to perform
feasibility analyses of novel process designs, assess environmental
impact, and detect potential hazards or accidents.
Multigrid presents both an elementary introduction to multigrid
methods for solving partial differential equations and a
contemporary survey of advanced multigrid techniques and real-life
applications.
Intended a both a textbook and a reference, Fourier Acoustics
develops the theory of sound radiation uniquely from the viewpoint
of Fourier Analysis. This powerful perspective of sound radiation
provides the reader with a comprehensive and practical
understanding which will enable him or her to diagnose and solve
sound and vibration problems in the 21st Century. As a result of
this perspective, Fourier Acoustics is able to present thoroughly
and simply, for the first time in book form, the theory of
nearfield acoustical holography, an important technique which has
revolutionised the measurement of sound. Relying little on material
outside the book, Fourier Acoustics will be invaluable as a
graduate level text as well as a reference for researchers in
academia and industry.
Professor Pearson's book starts with an introduction to the area
and an explanation of the most commonly used functions. It then
moves on through differentiation, special functions, derivatives,
integrals and onto full differential equations. As with other books
in the series the emphasis is on using worked examples and
tutorial-based problem solving to gain the confidence of students.
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