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Objectivity, Realism, and Proof
by Francesca Boccuni Andrea SereniThis volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge. The essays collected here explore the semantic and epistemic problems raised by different kinds of mathematical objects, by their characterization in terms of axiomatic theories, and by the objectivity of both pure and applied mathematics. They investigate controversial aspects of contemporary theories such as neo-logicist abstractionism, structuralism, or multiversism about sets, by discussing different conceptions of mathematical realism and rival relativistic views on the mathematical universe. They consider fundamental philosophical notions such as set, cardinal number, truth, ground, finiteness and infinity, examining how their informal conceptions can best be captured in formal theories. The philosophy of mathematics is an extremely lively field of inquiry, with extensive reaches in disciplines such as logic and philosophy of logic, semantics, ontology, epistemology, cognitive sciences, as well as history and philosophy of mathematics and science. By bringing together well-known scholars and younger researchers, the essays in this collection - prompted by the meetings of the Italian Network for the Philosophy of Mathematics (FilMat) - show how much valuable research is currently being pursued in this area, and how many roads ahead are still open for promising solutions to long-standing philosophical concerns. Promoted by the Italian Network for the Philosophy of Mathematics - FilMat
Objects, Structures, and Logics: FilMat Studies in the Philosophy of Mathematics (Boston Studies in the Philosophy and History of Science #339)
by Gianluigi Oliveri Claudio Ternullo Stefano BoscoloThis edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures.The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice. A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike.
Oblique Derivative Problems for Elliptic Equations in Conical Domains (Frontiers in Mathematics)
by Mikhail BorsukThe aim of our book is the investigation of the behavior of strong and weak solutions to the regular oblique derivative problems for second order elliptic equations, linear and quasi-linear, in the neighborhood of the boundary singularities. The main goal is to establish the precise exponent of the solution decrease rate and under the best possible conditions. The question on the behavior of solutions of elliptic boundary value problems near boundary singularities is of great importance for its many applications, e.g., in hydrodynamics, aerodynamics, fracture mechanics, in the geodesy etc. Only few works are devoted to the regular oblique derivative problems for second order elliptic equations in non-smooth domains. All results are given with complete proofs. The monograph will be of interest to graduate students and specialists in elliptic boundary value problems and their applications.
Observability and Mathematics: Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling (Advances in Applied Mathematics)
by Boris KhotsThe author approaches an old classic problem - the existence of solutions of Navier-Stokes equations. The main objective is to model and derive of equation of continuity, Euler equation of fluid motion, energy flux equation, Navier-Stokes equations from the observer point of view and solve classic problem for this interpretation of fluid motion laws. If we have a piece of metal or a volume of liquid, the idea impresses itself upon us that it is divisible without limit, that any part of it, however small, would again have the same properties. But, wherever the methods of research in the physics of matter were refined sufficiently, limits to divisibility were reached that are not due to the inadequacy of our experiments but to the nature of the subject matter. Observability in mathematics were developed by the author based on denial of infinity idea. He introduces observers into arithmetic, and arithmetic becomes dependent on observers. And after that the basic mathematical parts also become dependent on observers. This approach permits to reconsider the fluid motion laws, analyze them and get solutions of classic problems. Table of Contents 1. Introduction.2. Observability and Arithmetic.3. Observability and Vector Algebra.4. Observability and Mathematical Analysis (Calculus).5. Classic Fluid Mechanics equations and Observability.6. Observability and Thermodynamical equations.7. Observability and equation of continuity.8. Observability and Euler equation of motion of the fluid.9. Observability and energy flux and moment flux equations.10. Observability and incompressible fluids.11. Observability and Navier-Stokes equations.12. Observability and Relativistic Fluid Mechanics.13. Appendix: Review of publications of the Mathematics with Observers.14. Glossary.BibliographyIndex Biography Boris Khots, DrSci, lives in Iowa, USA, Independent Researcher. Alma Mater - Moscow State Lomonosov University, Department of Mathematics and Mechanics (mech-math). Creator of Observer’s Mathematics. Participant of more than 30 Mathematical international congresses, conferences. In particular, participated with presentation at International Congresses of Mathematicians on 1998 (Germany), 2002 (China), 2006 (Spain), 2010 (India), 2014 (South Korea). More than 150 mathematical books and papers.
Observation and Experiment: An Introduction to Causal Inference
by Paul R. RosenbaumIn the face of conflicting claims about some treatments, behaviors, and policies, the question arises: What is the most scientifically rigorous way to draw conclusions about cause and effect in the study of humans? In this introduction to causal inference, Paul Rosenbaum explains key concepts and methods through real-world examples.
Observer Design for Nonlinear Dynamical Systems: Differential Geometric Methods (Lecture Notes in Control and Information Sciences #487)
by Driss Boutat Gang ZhengThis book presents a differential geometric method for designing nonlinear observers for multiple types of nonlinear systems, including single and multiple outputs, fully and partially observable systems, and regular and singular dynamical systems. It is an exposition of achievements in nonlinear observer normal forms. The book begins by discussing linear systems, introducing the concept of observability and observer design, and then explains the difficulty of those problems for nonlinear systems. After providing foundational information on the differential geometric method, the text shows how to use the method to address observer design problems. It presents methods for a variety of systems. The authors employ worked examples to illustrate the ideas presented. Observer Design for Nonlinear Dynamical Systems will be of interest to researchers, graduate students, and industrial professionals working with control of mechanical and dynamical systems.
The Obsolete Self: Philosophical Dimensions of Aging
by Joseph EspositoThis title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1987.
Occupational Therapy In Community And Population Health Practice
by Marjorie E. Scaffa S. Maggie ReitzThe New Edition reflects the convergence of community and population health practice with expanded content on health promotion, well-being, and wellness. Drs. Scaffa and Reitz present the theories underpinning occupational therapy practice in community and population health. Then, the authors provide practical guidance in program needs assessment, program development, and program evaluation. Both new practitioners and students will find practice-applicable coverage, including expanded case examples, specific strategies for working in the community, and guidance on securing funding for community and population health programs.
Ocean Counting
by Janet Lawler Brian Skerry National Geographic Kids StaffThroughout our world's oceans live wild animals that swim, leap, and dive through the pages of this charming title. The photography in this book presents young readers with a foundation for learning basic counting skills while discovering some magnificent ocean animals. The marine life captured on each page portray familiar favorites along with a few lesser-known, but still amazing, animals. Lyrical text about each creature is both lively and thought-provoking. "Did You Know" facts accompany each spread to add both fun and fascinating tidbits about each creature. Fact boxes in the back of the book include information about the animals' homes, sizes, diets, predators, and babies. The book ends with an interactive map and a brief and inspirational note from National Geographic photographer Brian Skerry. A glossary helps kids expand their vocabulary, and a list of books and websites for further reading help jump-start more discovery.
Ocean Counting: Odd Numbers (Jerry Pallotta's Counting Books)
by Jerry PallottaWith his trademark humor and wit, Jerry Pallotta teaches young readers how to count to 50 by odd numbers, using weird and wonderful ocean animals as counting tools. Explore the ocean as you meet 13 surf clams, 29 mussels, 49 smelts, and more.
Oceanographic Analysis with R
by Dan E. KelleyThis book presents the R software environment as a key tool for oceanographic computations and provides a rationale for using R over the more widely-used tools of the field such as MATLAB. Kelley provides a general introduction to R before introducing the ‘oce’ package. This package greatly simplifies oceanographic analysis by handling the details of discipline-specific file formats, calculations, and plots. Designed for real-world application and developed with open-source protocols, oce supports a broad range of practical work. Generic functions take care of general operations such as subsetting and plotting data, while specialized functions address more specific tasks such as tidal decomposition, hydrographic analysis, and ADCP coordinate transformation. In addition, the package makes it easy to document work, because its functions automatically update processing logs stored within its data objects. Kelley teaches key R functions using classic examples from the history of oceanography, specifically the work of Alfred Redfield, Gordon Riley, J. Tuzo Wilson, and Walter Munk. Acknowledging the pervasive popularity of MATLAB, the book provides advice to users who would like to switch to R. Including a suite of real-life applications and over 100 exercises and solutions, the treatment is ideal for oceanographers, technicians, and students who want to add R to their list of tools for oceanographic analysis.
OCR Level 3 Free Standing Mathematics Qualification: Additional Maths (2nd edition)
by Val Hanrahan Andrew GintyExam Board: OCRLevel: Free Standing Mathematics QualificationSubject: Additional MathematicsFirst Teaching: September 2018First Exam: Summer 2019Enhance the skills learnt at GCSE and build the confidence to tackle higher-level Mathematics using this comprehensive textbook, tailored to the new OCR Additional Mathematics specification (2018).· Consolidate GCSE Maths skills and prepare for A-level using hundreds of questions designed to bridge the gap between Key Stages 4 and 5.· Expand on GCSE knowledge and confidently tackle new concepts with clear introductions to every topic and plenty of worked examples throughout.· Boost performance in Additional Maths and A-level Maths with expert guidance from subject specialists with extensive examining experience.· Save time planning lessons using our free schemes of work that link to the relevant Integral resources.· Approach your final assessment with confidence, by completing two full practice papers at the end of the book.
OCR A Level Further Mathematics Core Year 2
by Ben Sparks Claire BaldwinExam Board: OCRLevel: A-levelSubject: MathematicsFirst Teaching: September 2017First Exam: June 2018An OCR endorsed textbookGrow your students' confidence in applying mathematical techniques to solving problems with resources developed specifically for the OCR specification subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Develop reasoning and problem-solving skills with practice questions and differentiated exercises that build mathematical techniques.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- 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.- Enhance individual understanding with discussion points designed for the classroom.- Consolidate understanding with end of chapter summaries of the key points.- Provide clear paths of progression that combine pure and applied maths into a coherent whole.- Reinforce Year 1 content with short review chapters - Year 2 only
OCR A Level Further Mathematics Discrete
by Nick GeereStudent eTextbooks are downloadable versions of the printed textbook, purchased on a copy-by-copy basis and allocated to students through Dynamic Learning. Our Student eTextbooks link seamlessly with MEI Integral Further Mathematics online resources, allowing you to move with ease between corresponding topics in the eTextbooks and Integral.Integral has been developed by MEI and supports teachers and students with high quality teaching and learning activities, including dynamic resources and self-marking tests and assessments that cover the new specifications.To have full access to the eTextbooks and Integral resources you must be subscribed to both Dynamic Learning and Integral. To subscribe to Integral, visit www.integralmaths.org. For more information on our eTextbooks and Integral please see the Quick Links box.Provide full support for the OCR Discrete content of the new specification with worked examples, stimulating activities and assessment support to help develop understanding, reasoning and problem solving. - Help prepare students for assessment with skills-building activities and fully worked examples and solutions tailored to the changed criteria.- Build understanding through carefully worded expositions that set out the basics and the detail of each topic, with call-outs to add clarity.- Test knowledge and develop understanding, reasoning and problem solving with banded Exercise questions that increase in difficulty (answers provided in the back of the book and online). - Gain a full understanding of the logical steps that are used in creating each individual algorithm - Encourages students to track their progress using learning outcomes and Key Points listed at the end of each chapter.
OCR A Level Further Mathematics Mechanics
by Jean-Paul MuscatGrow your students' confidence in applying mathematical techniques to solving problems with resources developed specifically for the OCR specification by subject specialists and MEI (Mathematics in Education and Industry).- Develop reasoning and problem-solving skills with practice questions and differentiated exercises that build mathematical techniques.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- 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.- Enhance individual understanding with discussion points designed for the classroom.- Consolidate understanding with end of chapter summaries of the key points.
OCR A Level Further Mathematics Statistics
by John du FeuAchieve your full potential with learning materials that guide you through the Statistics content of the new AS and A-level Further Maths specifications; developed by subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Ensure targeted development of reasoning and problem-solving skills with plenty of practice questions and structured exercises that build statistical skills and techniques.- Identify connections between topics, with real-world contexts to help develop modelling skills, thus providing a fuller and more coherent understanding of statistical concepts.- Address the new statistics requirements with questions around the use of large data sets. - Cover the use of technology in mathematics with a variety of questions based around the use of spreadsheets, graphing software and graphical calculators. - Overcome misconceptions and develop insight into problem solving with annotated worked examples.
OCR A Level Further Mathematics Year 1 (AS): For Core Year 1 And As
by Ben Sparks Claire BaldwinGrow your students' confidence in applying mathematical techniques to solving problems with resources developed specifically for the OCR specification subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Develop reasoning and problem-solving skills with practice questions and differentiated exercises that build mathematical techniques.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- 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.- Enhance individual understanding with discussion points designed for the classroom.- Consolidate understanding with end of chapter summaries of the key points.- Provide clear paths of progression that combine pure and applied maths into a coherent whole.
OCR A Level Mathematics Year 1 (AS)
by Sophie Goldie Susan Whitehouse Val Hanrahan Cath Moore Jean-Paul MuscatBoost 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.
OCR A Level Mathematics Year 2
by Sophie Goldie Susan Whitehouse Val Hanrahan Cath Moore Jean-Paul MuscatBoost 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.- Reinforce Year 1 content with short review chapters - Year 2 only
An October to Remember 1968: The Tigers-Cardinals World Series as Told by the Men Who Played in It
by Brendan DonleyAn October to Remember 1968: The Tigers-Cardinals World Series as Told by the Men Who Played in It recalls one of baseball's most celebrated championship series from the voices of the players who still remain--a collected narrative from a bygone era of major-league baseball as they reflect fifty years later.Modeled after Lawrence S. Ritter's celebrated book, The Glory of Their Times--for which the author traversed the country to record stories of baseball's deadball era--An October to Remember 1968 will likewise preserve the days of baseball past, gathering the memories of the remaining players of the great Tigers and Cardinals teams to assemble their accounts into a vibrant baseball collection. The 1968 World Series came at a time of great cultural change--the fading days of fans dressing up for ballgames, the first years of widespread color TV--and was an historic matchup of two legendary teams, pitting star power head-to-head and going the distance of seven hard-fought games. From the voices of the players themselves, An October to Remember 1968 illustrates in detail what it was like to be a 1968 Tiger, a 1968 Cardinal: what it was like to win it all and to lose it all: what it was like to face Bob Gibson peering in from the mound, Al Kaline digging in at the plate; what it was like, in the player's own words, to remember the days of that most special period in the history of America's national pastime.
Ocular Fluid Dynamics: Anatomy, Physiology, Imaging Techniques, and Mathematical Modeling (Modeling and Simulation in Science, Engineering and Technology)
by Giovanna Guidoboni Alon Harris Riccardo SaccoThe chapters in this contributed volume showcase current theoretical approaches in the modeling of ocular fluid dynamics in health and disease. By including chapters written by experts from a variety of fields, this volume will help foster a genuinely collaborative spirit between clinical and research scientists. It vividly illustrates the advantages of clinical and experimental methods, data-driven modeling, and physically-based modeling, while also detailing the limitations of each approach. Blood, aqueous humor, vitreous humor, tear film, and cerebrospinal fluid each have a section dedicated to their anatomy and physiology, pathological conditions, imaging techniques, and mathematical modeling. Because each fluid receives a thorough analysis from experts in their respective fields, this volume stands out among the existing ophthalmology literature.Ocular Fluid Dynamics is ideal for current and future graduate students in applied mathematics and ophthalmology who wish to explore the field by investigating open questions, experimental technologies, and mathematical models. It will also be a valuable resource for researchers in mathematics, engineering, physics, computer science, chemistry, ophthalmology, and more.
Odd Squad Agent's Handbook
by Tim McKeon Adam PeltzmanFrom the universe of the award-winning hit television show Odd Squad, the Odd Squad Agent's Handbook is the book every new recruit receives. It's filled with tips and tricks on how to be the best agent possible, plus secrets of the squad and highlights from its greatest adventures.In short, this is the ultimate guide to the strange, the unusual, and very, very ... odd.Written by the creators of the show!An Imprint Book
ODE/PDE Analysis of Multiple Myeloma: Programming in R
by William E. SchiesserMultiple myeloma is a form of bone cancer. Specifically, it is a cancer of the plasma cells found in bone marrow (bone soft tissue). Normal plasma cells are an important part of the immune system. Mathematical models for multiple myeloma based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed ODE/PDE model in Chapter 4 that gives the spatiotemporal distribution of four dependent variable components in the bone marrow and peripheral blood: (1) protein produced by multiple myeloma cells, termed the M protein, (2) cytotoxic T lymphocytes (CTLs), (3) natural killer (NK) cells, and (4) regulatory T cells (Tregs). The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers using the R routines that are available through a download. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences.
Odyssee im Zeptoraum
by Gian Francesco GiudiceDer Band lädt Leser ein, die Teilchenphysik mit den Augen eines Insiders zu betrachten, dadurch bieten sich neue Einblicke in die Welt der Teilchen und ihrer Wechselwirkungen. Aufschlussreich und unterhaltsam thematisieren die Autoren die Geschichte des Large Hadron Collider (LHC) und erläutern die mit dem LHC verknüpften wissenschaftlichen Fragen: Existiert das mysteriöse Higgs-Teilchen wirklich? Erstreckt sich der Raum in zusätzliche Dimensionen? Das Buch verhilft dazu, die Entdeckungen der kommenden Jahre mitzuverfolgen und nachzuvollziehen.
Off-Diagonal Bethe Ansatz for Exactly Solvable Models
by Yupeng Wang Wen-Li Yang Junpeng Cao Kangjie ShiThis book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.