Fundamentals of Mathematics in Medical Research: Theory and Cases

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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

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Author :
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.

Basic Math for Health Professionals

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Publisher : Elsevier
ISBN 13 : 9780323764070
Total Pages : 480 pages
Book Rating : 4.7/5 (64 download)

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Book Synopsis Basic Math for Health Professionals by : Elsevier

Download or read book Basic Math for Health Professionals written by Elsevier and published by Elsevier. This book was released on 2022-11 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Measure Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470466406
Total Pages : 206 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Introduction to Measure Theory by : Terence Tao

Download or read book An Introduction to Measure Theory written by Terence Tao and published by American Mathematical Soc.. This book was released on 2021-09-03 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.

Applied Mathematics for the Analysis of Biomedical Data

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Publisher : John Wiley & Sons
ISBN 13 : 1119269512
Total Pages : 408 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Applied Mathematics for the Analysis of Biomedical Data by : Peter J. Costa

Download or read book Applied Mathematics for the Analysis of Biomedical Data written by Peter J. Costa and published by John Wiley & Sons. This book was released on 2017-02-21 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features a practical approach to the analysis of biomedical data via mathematical methods and provides a MATLAB® toolbox for the collection, visualization, and evaluation of experimental and real-life data Applied Mathematics for the Analysis of Biomedical Data: Models, Methods, and MATLAB® presents a practical approach to the task that biological scientists face when analyzing data. The primary focus is on the application of mathematical models and scientific computing methods to provide insight into the behavior of biological systems. The author draws upon his experience in academia, industry, and government–sponsored research as well as his expertise in MATLAB to produce a suite of computer programs with applications in epidemiology, machine learning, and biostatistics. These models are derived from real–world data and concerns. Among the topics included are the spread of infectious disease (HIV/AIDS) through a population, statistical pattern recognition methods to determine the presence of disease in a diagnostic sample, and the fundamentals of hypothesis testing. In addition, the author uses his professional experiences to present unique case studies whose analyses provide detailed insights into biological systems and the problems inherent in their examination. The book contains a well-developed and tested set of MATLAB functions that act as a general toolbox for practitioners of quantitative biology and biostatistics. This combination of MATLAB functions and practical tips amplifies the book’s technical merit and value to industry professionals. Through numerous examples and sample code blocks, the book provides readers with illustrations of MATLAB programming. Moreover, the associated toolbox permits readers to engage in the process of data analysis without needing to delve deeply into the mathematical theory. This gives an accessible view of the material for readers with varied backgrounds. As a result, the book provides a streamlined framework for the development of mathematical models, algorithms, and the corresponding computer code. In addition, the book features: Real–world computational procedures that can be readily applied to similar problems without the need for keen mathematical acumen Clear delineation of topics to accelerate access to data analysis Access to a book companion website containing the MATLAB toolbox created for this book, as well as a Solutions Manual with solutions to selected exercises Applied Mathematics for the Analysis of Biomedical Data: Models, Methods, and MATLAB® is an excellent textbook for students in mathematics, biostatistics, the life and social sciences, and quantitative, computational, and mathematical biology. This book is also an ideal reference for industrial scientists, biostatisticians, product development scientists, and practitioners who use mathematical models of biological systems in biomedical research, medical device development, and pharmaceutical submissions.

Statistics in Medical Research

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Author :
Publisher :
ISBN 13 : 9781461525196
Total Pages : 230 pages
Book Rating : 4.5/5 (251 download)

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Book Synopsis Statistics in Medical Research by : E a Gehan

Download or read book Statistics in Medical Research written by E a Gehan and published by . This book was released on 1994-11-30 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book chronicles the fundamental events that shaped the advancement of the study of statistics and development of clinical trials. It reviews statistics from the birth of probability theories around the gambling tables, through the introduction of statistics into medicine, and up to the latest clinical trials. Interweaving a comprehensive history of clinical research over the centuries, the authors include lively bibliographies of the people responsible for the innovative concepts that constitute the foundation of modern statistics.

Maths & Stats for the Life and Medical Sciences

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Publisher : Scion
ISBN 13 : 9781904842118
Total Pages : 208 pages
Book Rating : 4.8/5 (421 download)

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Book Synopsis Maths & Stats for the Life and Medical Sciences by : Michael Harris

Download or read book Maths & Stats for the Life and Medical Sciences written by Michael Harris and published by Scion. This book was released on 2005 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is designed for life and medical science students and professionals who need a basic knowledge of mathematics and statistics." --pref.

Fundamental Concepts of Algebra

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Publisher : Courier Corporation
ISBN 13 : 9780486614700
Total Pages : 324 pages
Book Rating : 4.6/5 (147 download)

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Book Synopsis Fundamental Concepts of Algebra by : Bruce Elwyn Meserve

Download or read book Fundamental Concepts of Algebra written by Bruce Elwyn Meserve and published by Courier Corporation. This book was released on 1982-01-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.

Mathematics, Statistics, and Systems for Health

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Mathematics, Statistics, and Systems for Health by : Norman T. J. Bailey

Download or read book Mathematics, Statistics, and Systems for Health written by Norman T. J. Bailey and published by John Wiley & Sons. This book was released on 1977 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to make available to a wide reading public a greater understanding of the role of quantitative methods in helping to develop and improve medical care and health services throughout the world. Special attention has been paid to the significance and potentialities of mathematics, statistics, modelling, computers, operational research, systems analysis, and system dynamics. The edition adopts an intergrated treatment, and keeps the purely mathematical aspects down to a minimum. It is more concerned with general notions and principles than with technical mathematical details.

Mathematics and Computer Science in Biology and Medicine

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Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Mathematics and Computer Science in Biology and Medicine by : Conference on Mathematics and Computer Science in Biology and Medicine. Oxford

Download or read book Mathematics and Computer Science in Biology and Medicine written by Conference on Mathematics and Computer Science in Biology and Medicine. Oxford and published by . This book was released on 1965 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Critical Thinking in Clinical Research

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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.

Exterior Calculus: Theory and Cases

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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.

Practical Foundations of Mathematics

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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: This book is about the basis of mathematical reasoning both in pure mathematics itself (particularly algebra and topology) and in computer science (how and what it means to prove correctness of programs). It contains original material and original developments of standard material, so it is also for professional researchers, but as it deliberately transcends disciplinary boundaries and challenges many established attitudes to the foundations of mathematics, the reader is expected to be open minded about these things.

Number Theory and Its History

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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.

Introduction · to Mathematical Structures and · Proofs

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Publisher : Springer Science & Business Media
ISBN 13 : 1468467085
Total Pages : 355 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Introduction · to Mathematical Structures and · Proofs by : Larry Gerstein

Download or read book Introduction · to Mathematical Structures and · Proofs written by Larry Gerstein and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the rudiments of logic, set theory, equivalence relations, and other basic mathematical raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried the students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a nontrivial level if they are to achieve the sophisticated blend of knowledge, disci pline, and creativity that we call "mathematical maturity. " I don't believe that "theorem-proving" can be taught any more than "question-answering" can be taught. Nevertheless, I have found that it is possible to guide stu dents gently into the process of mathematical proof in such a way that they become comfortable with the experience and begin asking them selves questions that will lead them in the right direction.

Mathematics for Life Science and Medicine

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Publisher : Springer
ISBN 13 : 9783540344254
Total Pages : 228 pages
Book Rating : 4.3/5 (442 download)

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Book Synopsis Mathematics for Life Science and Medicine by : Yasuhiro Takeuchi

Download or read book Mathematics for Life Science and Medicine written by Yasuhiro Takeuchi and published by Springer. This book was released on 2006-12-12 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. It provides a fascinating survey of the theory of dynamical systems in biology and medicine. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

Research in Education

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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: