Fundamentals Of Mathematics In Medical Research Theory And Cases

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Fundamentals of Mathematics in Medical Research: Theory and Cases

Author : Carlos Polanco
Publisher : Bentham Science Publishers
ISBN 13 : 9815223143
Total Pages : 165 pages
Book Rating : 4.8/5 (152 download)

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Book Synopsis Fundamentals of Mathematics in Medical Research: Theory and Cases by : Carlos Polanco

Download or read book Fundamentals of Mathematics in Medical Research: Theory and Cases written by Carlos Polanco and published by Bentham Science Publishers. This book was released on 2024-07-30 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Mathematics in Medical Research: Theory and Cases is a comprehensive guide to the mathematical principles and methods used in medical research. This book is structured to facilitate learning and application and gives a solid foundation to readers. The book is divided into multiple parts that explain basic concepts in a progressive way. - Part I covers real-valued functions of one or more variables with geometric representations to establish a core understanding of advanced mathematics - Part II covers inferential methods of probability and statistics from basic probability to parametric and nonparametric tests - Part III covers correlation theory and advanced analysis of real-valued functions - Part IV covers multivariable analysis for solving complex problems with an explanation of Markov Chain models - An Appendix provides solutions for all exercises and along with Fortran 90 programs, Python scripts and Linux scripts to explore the mathematical concepts explained in the book. Key Features: Introduction and Conclusion in Every Chapter Exercises and Solutions Program codes and scripts Comprehensive Coverage of Mathematics for Academics and Research Real-World Cases This book is an essential resource for researchers, students, and professionals in medicine and allied fields who seek to understand and apply mathematical methods in their work.

Introduction to the Mathematics of Medical Imaging

Author : Charles L. Epstein
Publisher : SIAM
ISBN 13 : 9780898717792
Total Pages : 794 pages
Book Rating : 4.7/5 (177 download)

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Book Synopsis Introduction to the Mathematics of Medical Imaging by : Charles L. Epstein

Download or read book Introduction to the Mathematics of Medical Imaging written by Charles L. Epstein and published by SIAM. This book was released on 2008-01-01 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most of these modalities. The text uses X-ray computed tomography (X-ray CT) as a 'pedagogical machine' to illustrate important ideas and its extensive discussion of background material makes the more advanced mathematical topics accessible to people with a less formal mathematical education. This new edition contains a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, an improved description of the gridding method, and new sections on both Grangreat's formula and noise analysis in MR-imaging. Mathematical concepts are illuminated with over 200 illustrations and numerous exercises.

Numerical Control: Part A

Author : Emmanuel Trélat
Publisher : Elsevier
ISBN 13 : 0323850596
Total Pages : 594 pages
Book Rating : 4.3/5 (238 download)

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Book Synopsis Numerical Control: Part A by : Emmanuel Trélat

Download or read book Numerical Control: Part A written by Emmanuel Trélat and published by Elsevier. This book was released on 2022-02-21 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Handbook of Numerical Analysis series Updated release includes the latest information on Numerical Control

The Foundations of Mathematics

Author : Kenneth Kunen
Publisher :
ISBN 13 : 9781904987147
Total Pages : 251 pages
Book Rating : 4.9/5 (871 download)

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Book Synopsis The Foundations of Mathematics by : Kenneth Kunen

Download or read book The Foundations of Mathematics written by Kenneth Kunen and published by . This book was released on 2009 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Lowenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H( ) and R( ). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Godel, and Tarski's theorem on the non-definability of truth.

Critical Thinking in Clinical Research

Author : Felipe Fregni
Publisher : Oxford University Press
ISBN 13 : 0199324492
Total Pages : 537 pages
Book Rating : 4.1/5 (993 download)

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Book Synopsis Critical Thinking in Clinical Research by : Felipe Fregni

Download or read book Critical Thinking in Clinical Research written by Felipe Fregni and published by Oxford University Press. This book was released on 2018 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical Thinking in Clinical Research explains the fundamentals of clinical research in a case-based approach. The core concept is to combine a clear and concise transfer of information and knowledge with an engagement of the reader to develop a mastery of learning and critical thinking skills. The book addresses the main concepts of clinical research, basics of biostatistics, advanced topics in applied biostatistics, and practical aspects of clinical research, with emphasis on clinical relevance across all medical specialties.

Concepts of Modern Mathematics

Author : Ian Stewart
Publisher : Courier Corporation
ISBN 13 : 0486134954
Total Pages : 367 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Concepts of Modern Mathematics by : Ian Stewart

Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Concrete Mathematics

Author : Ronald L. Graham
Publisher : Addison-Wesley Professional
ISBN 13 : 0134389980
Total Pages : 811 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Concrete Mathematics by : Ronald L. Graham

Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

Practical Foundations of Mathematics

Author : Paul Taylor
Publisher : Cambridge University Press
ISBN 13 : 9780521631075
Total Pages : 590 pages
Book Rating : 4.6/5 (31 download)

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Book Synopsis Practical Foundations of Mathematics by : Paul Taylor

Download or read book Practical Foundations of Mathematics written by Paul Taylor and published by Cambridge University Press. This book was released on 1999-05-13 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Foundations collects the methods of construction of the objects of twentieth-century mathematics. Although it is mainly concerned with a framework essentially equivalent to intuitionistic Zermelo-Fraenkel logic, the book looks forward to more subtle bases in categorical type theory and the machine representation of mathematics. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries between universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers of computing, mathematics and philosophy will find this book both readable and of lasting value as a reference work.

Scientific Computing with Case Studies

Author : Dianne P. O'Leary
Publisher : SIAM
ISBN 13 : 0898716667
Total Pages : 376 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Scientific Computing with Case Studies by : Dianne P. O'Leary

Download or read book Scientific Computing with Case Studies written by Dianne P. O'Leary and published by SIAM. This book was released on 2009-03-19 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a practical guide to the numerical solution of linear and nonlinear equations, differential equations, optimization problems, and eigenvalue problems. It treats standard problems and introduces important variants such as sparse systems, differential-algebraic equations, constrained optimization, Monte Carlo simulations, and parametric studies. Stability and error analysis are emphasized, and the Matlab algorithms are grounded in sound principles of software design and understanding of machine arithmetic and memory management. Nineteen case studies provide experience in mathematical modeling and algorithm design, motivated by problems in physics, engineering, epidemiology, chemistry, and biology. The topics included go well beyond the standard first-course syllabus, introducing important problems such as differential-algebraic equations and conic optimization problems, and important solution techniques such as continuation methods. The case studies cover a wide variety of fascinating applications, from modeling the spread of an epidemic to determining truss configurations.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Theoretical and Mathematical Foundations of Human Health Risk Analysis

Author : Douglas J. Crawford-Brown
Publisher : Springer Science & Business Media
ISBN 13 : 9780792398981
Total Pages : 228 pages
Book Rating : 4.3/5 (989 download)

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Book Synopsis Theoretical and Mathematical Foundations of Human Health Risk Analysis by : Douglas J. Crawford-Brown

Download or read book Theoretical and Mathematical Foundations of Human Health Risk Analysis written by Douglas J. Crawford-Brown and published by Springer Science & Business Media. This book was released on 1997-04-30 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists and regulators have struggled to define the role of theory, experiments, models and common sense in risk analysis. This situation has been made worse by the isolation of theory from modeling, of experimentation from theory, and of practical action from basic science. This book arises from efforts at regulatory agencies and industries to bring more science into health risk analysis so that society may better use limited resources to improve public health. This book covers: the characterization of exposure to pollutants and other sources of risk; the movement of pollutants into the body via inhalation; ingestion, dermal absorption, and exposures to radiation; the movement of a pollutant as it cascades through the tissues and organs of the body; and the development of principles and models for dose-response modeling. The book shows how an understanding of the biological, chemical, and physical properties of the environment and of the human body can guide the selection of mathematical models, and how these models can aid in estimating risks. Included in the book are models covering the full range of topics in human health risk analysis: exposure assessment, rates of intake, deposition and uptake by organs, absorption across membranes, biokinetics, dosimetry, and dose-response. The reader will gain from the book a better understanding of how environmental health science, as applied in risk analysis, can be used to create a more rational basis for the improvement of public health.

Number Theory and Its History

Author : Oystein Ore
Publisher : Courier Corporation
ISBN 13 : 0486136434
Total Pages : 404 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Number Theory and Its History by : Oystein Ore

Download or read book Number Theory and Its History written by Oystein Ore and published by Courier Corporation. This book was released on 2012-07-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

Exterior Calculus: Theory and Cases

Author : Carlos Polanco
Publisher : Bentham Science Publishers
ISBN 13 : 9814998796
Total Pages : 141 pages
Book Rating : 4.8/5 (149 download)

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Book Synopsis Exterior Calculus: Theory and Cases by : Carlos Polanco

Download or read book Exterior Calculus: Theory and Cases written by Carlos Polanco and published by Bentham Science Publishers. This book was released on 2021-09-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations.

Research in Education

Author :
Publisher :
ISBN 13 :
Total Pages : 1280 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Research in Education by :

Download or read book Research in Education written by and published by . This book was released on 1974 with total page 1280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catalog of Copyright Entries. Third Series

Author : Library of Congress. Copyright Office
Publisher : Copyright Office, Library of Congress
ISBN 13 :
Total Pages : 1696 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Catalog of Copyright Entries. Third Series by : Library of Congress. Copyright Office

Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1978 with total page 1696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

1972, National Science Foundation Authorization, Hearings Before the Subcommittee on Science, Research and Development, and the Committee...92-1, on H.R. 4743, Feb. 25; March 5, 23-26, 30; April 6, 7, 1971

Download 1972, National Science Foundation Authorization, Hearings Before the Subcommittee on Science, Research and Development, and the Committee...92-1, on H.R. 4743, Feb. 25; March 5, 23-26, 30; April 6, 7, 1971 PDF Online Free

Author : United States. Congress. House. Science and Astronautics
Publisher :
ISBN 13 :
Total Pages : 914 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis 1972, National Science Foundation Authorization, Hearings Before the Subcommittee on Science, Research and Development, and the Committee...92-1, on H.R. 4743, Feb. 25; March 5, 23-26, 30; April 6, 7, 1971 by : United States. Congress. House. Science and Astronautics

Download or read book 1972, National Science Foundation Authorization, Hearings Before the Subcommittee on Science, Research and Development, and the Committee...92-1, on H.R. 4743, Feb. 25; March 5, 23-26, 30; April 6, 7, 1971 written by United States. Congress. House. Science and Astronautics and published by . This book was released on 1971 with total page 914 pages. Available in PDF, EPUB and Kindle. Book excerpt:

1972 National Science Foundation Authorization

Author : United States. Congress. House. Committee on Science and Astronautics. Subcommittee on Science, Research, and Development
Publisher :
ISBN 13 :
Total Pages : 912 pages
Book Rating : 4.0/5 (18 download)

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Book Synopsis 1972 National Science Foundation Authorization by : United States. Congress. House. Committee on Science and Astronautics. Subcommittee on Science, Research, and Development

Download or read book 1972 National Science Foundation Authorization written by United States. Congress. House. Committee on Science and Astronautics. Subcommittee on Science, Research, and Development and published by . This book was released on 1971 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: