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Mathematics

See below for a selection of the latest books from Mathematics category. Presented with a red border are the Mathematics books that have been lovingly read and reviewed by the experts at Lovereading. With expert reading recommendations made by people with a passion for books and some unique features Lovereading will help you find great Mathematics books and those from many more genres to read that will keep you inspired and entertained. And it's all free!

Architecture of Mathematics

Architecture of Mathematics

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications. It describes the many interweaving relationships between different areas of mathematics and its practical applications, and as such provides unique reading for professional mathematicians and nonmathematicians alike. This book can be a very important resource both for the teaching of mathematics and as a means to outline the research links between different subjects within and beyond the subject. Features All notions and properties are introduced logically and sequentially, to help the reader gradually build understanding. Focusses on illustrative examples that explain the meaning of mathematical objects and their properties. Suitable as a supplementary resource for teaching undergraduate mathematics, and as an aid to interdisciplinary research. Forming the reader's understanding of Mathematics as a unified science, the book helps to increase his general mathematical culture.

Applied Numerical Methods Using MATLAB

Applied Numerical Methods Using MATLAB

Author: Won Y. Yang, Wenwu Cao, Jaekwon Kim, Kyung W. Park Format: Hardback Release Date: 12/07/2020

This new edition provides an updated approach for students, engineers, and researchers to apply numerical methods for solving problems using MATLAB (R) This accessible book makes use of MATLAB (R) software to teach the fundamental concepts for applying numerical methods to solve practical engineering and/or science problems. It presents programs in a complete form so that readers can run them instantly with no programming skill, allowing them to focus on understanding the mathematical manipulation process and making interpretations of the results. Applied Numerical Methods Using MATLAB (R), Second Edition begins with an introduction to MATLAB usage and computational errors, covering everything from input/output of data, to various kinds of computing errors, and on to parameter sharing and passing, and more. The system of linear equations is covered next, followed by a chapter on the interpolation by Lagrange polynomial. The next sections look at interpolation and curve fitting, nonlinear equations, numerical differentiation/integration, ordinary differential equations, and optimization. Numerous methods such as the Simpson, Euler, Heun, Runge-kutta, Golden Search, Nelder-Mead, and more are all covered in those chapters. The eighth chapter provides readers with matrices and Eigenvalues and Eigenvectors. The book finishes with a complete overview of differential equations. Provides examples and problems of solving electronic circuits and neural networks Includes new sections on adaptive filters, recursive least-squares estimation, Bairstow's method for a polynomial equation, and more Explains Mixed Integer Linear Programing (MILP) and DOA (Direction of Arrival) estimation with eigenvectors Aimed at students who do not like and/or do not have time to derive and prove mathematical results Applied Numerical Methods Using MATLAB (R), Second Edition is an excellent text for students who wish to develop their problem-solving capability without being involved in details about the MATLAB codes. It will also be useful to those who want to delve deeper into understanding underlying algorithms and equations.

An Introduction to Metric Spaces

An Introduction to Metric Spaces

Author: Dhananjay Gopal, Aniruddha Deshmukh, Abhay S Ranadive, Shubham Yadav Format: Hardback Release Date: 08/07/2020

This book is aimed to serve as a textbook for an introductory course in metric spaces for undergraduate or graduate students. It has been our goal to present the basics of metric spaces in a natural and intuitive way and encourage the students to think geometrically while actively participating in the learning of this subject. In this book, we have illustrated the strategy of the proofs of various theorems that motivate the readers to complete it on their own. Bits of pertinent history are infused in the text, including brief biographies of some of the central players in the development of metric spaces. The textbook is decomposed in to seven chapters which contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications. Some of the noteworthy features of this book are: * Diagrammatic illustrations that encourage the reader to think geometrically. * Focus on systematic strategy to generate ideas for the proofs of theorems. * A wealth of remarks, observations along with variety of exercises. * Historical notes and brief biographies appearing throughout the text.

Image Processing and Acquisition using Python

Image Processing and Acquisition using Python

Image Processing and Acquisition using Python, Second Edition provides readers with a sound foundation in both image acquisition and image processing-one of the first books to integrate these topics. By improving readers' knowledge of image acquisition techniques and corresponding image processing, the book will help them perform experiments more effectively and cost efficiently as well as analyze and measure more accurately. Long recognized as one of the easiest languages for non-programmers to learn, Python is used in a variety of practical examples. A refresher for more experienced readers, the first part of the book presents an introduction to Python, Python modules, reading and writing images using Python, and an introduction to images. The second part discusses the basics of image processing, including pre/post processing using filters, segmentation, morphological operations, and measurements. The second part describes image acquisition using various modalities, such as x-ray, CT, MRI, light microscopy, and electron microscopy. These modalities encompass most of the common image acquisition methods currently used by researchers in academia and industry. Features Covers both the physical methods of obtaining images and the analytical processing methods required to understand the science behind the images. Contains many examples, detailed derivations, and working Python examples of the techniques. Offers practical tips on image acquisition and processing. Includes numerous exercises to test reader skills in Python programming and image processing, with solutions to selected problems, example programs, and images available on the book's CRC Press web page. New to this edition Machine learning has become an indispensable part of image processing and computer vision, so in this new edition two new chapters are included: one on neural networks and the other on convolutional neural networks. A new chapter on affine transform and many new algorithms. Updated Python code aligned to the latest version of modules.

Shapers Moving with the New World of Work

Shapers Moving with the New World of Work

Author: Jonas Altman Format: Hardback Release Date: 02/07/2020

Shapers is an essential guide for those who believe that it's no longer a frivolous pipe dream to find meaning in work - but instead a must. Seeking to reinvent work, we are motivated by distinctly human qualities: curiosity, connection, and contribution. We are willing to experiment to shape a new - and better - system of work. Work is no longer a place you go but rather it's become something you do. We now work in places, ways, and on things that were once the stuff of sci-fi flicks. Shapers is an expose that shows work can be both a serious and soulful affair. It's a chronicle of the trailblazers that are humanising work. In Shapers you will discover: The nature of work and why it is changing The secret sauce to help you navigate the future of work with ease How to find more meaning in work and improve the way you and your teams function Exclusive transcripts from movers and shakers of the future of work movement By reading this book, you're joining a growing movement that's fixated on making work more awesome. Welcome aboard!

The Patient Equation The Data-Driven Future of Precision Medicine and the Business of Health Care

The Patient Equation The Data-Driven Future of Precision Medicine and the Business of Health Care

Author: Glen de Vries Format: Hardback Release Date: 29/06/2020

How the data revolution is transforming biotech and healthcare--and why you can't afford to let it pass you by We are living through a time when the digitization of health and medicine is becoming a reality, with new abilities to improve outcomes for patients as well as the efficiency and success of the organizations that serve them. In The Patient Equation, Glen de Vries presents the history and current state of life sciences and healthcare as well as crucial insights and strategies to help scientists, physicians, executives, and patients survive and thrive in the current disruptive, tech-driven landscape. The biggest challenge facing biotech, pharma, and medical device companies today is how to integrate new knowledge, new data, and new technologies to get the right treatments to the right patients at precisely the right times. This book shows you how to meet that challenge and embrace the data revolution. Drawing on the fascinating stories of businesses and individuals that are already making inroads--from a fertility-tracking bracelet changing the game for couples looking to get pregnant, to an entrepreneur reinventing the treatment of diabetes, to Medidata's own work bringing clinical trials into the 21st century--de Vries shares the breakthroughs, approaches, and practical business techniques that allow companies to stay ahead of the curve and to deliver solutions faster, cheaper, and more successfully--while still upholding the principles of traditional therapeutic medicine. How one rare disease is leading the way for new approaches to understanding precision medicine What it means to build robust, effective disease management platforms Why value-based reimbursement is changing the business of life sciences How the right alignment of incentives will improve outcomes at every stage of the patient journey Whether you're a scientist, physician, or executive, you can't afford to let the data revolution pass you by: understand the landscape with this must-read roadmap for success--and see how you can change the future of healthcare for the better.

Pearson Edexcel GCSE (9-1) Mathematics Higher Student Book 1 Second Edition

Pearson Edexcel GCSE (9-1) Mathematics Higher Student Book 1 Second Edition

Author: Katherine Pate, Naomi Norman Format: Paperback / softback Release Date: 28/06/2020

The new edition of Pearson Edexcel GCSE (9-1) Mathematics Higher Student Book 1 develops reasoning, fluency and problem-solving to boost students' confidence and give them the best preparation for GCSE study. Purposefully updated based on feedback from thousands of teachers and students, as well as academic research and impact studies Bolsters preparation for GCSE with new questions that reflect the latest exams and a format that seamlessly aligns with our GCSE Maths courses Shown to help GCSE students master maths with confidence with a UK-specific approach that draws upon global best practices and cutting-edge research Tried-and-tested differentiation with a unique unit structure and improved pacing to support every student's progress Extra skills-building support, problem-solving, and meaningful practice to consolidate learning and deepen understanding New additions to boost progression and post-GCSE study such as 'Future skills questions' and 'Working towards A level' features

Pearson Edexcel GCSE (9-1) Mathematics Foundation Student Book 1 Second Edition

Pearson Edexcel GCSE (9-1) Mathematics Foundation Student Book 1 Second Edition

Author: Katherine Pate, Naomi Norman Format: Paperback / softback Release Date: 28/06/2020

The new edition of Pearson Edexcel GCSE (9-1) Mathematics Foundation Student Book 1 develops reasoning, fluency and problem-solving to boost students' confidence and give them the best preparation for GCSE study. Purposefully updated based on feedback from thousands of teachers and students, as well as academic research and impact studies Bolsters preparation for GCSE with new questions that reflect the latest exams and a format that seamlessly aligns with our GCSE Maths courses Shown to help GCSE students master maths with confidence with a UK-specific approach that draws upon global best practices and cutting-edge research Tried-and-tested differentiation with a unique unit structure and improved pacing to support every student's progress Extra skills-building support, problem-solving, and meaningful practice to consolidate learning and deepen understanding New additions to boost progression and post-GCSE study such as 'Future skills questions' and 'Working towards A level' features

The Math Teacher's Toolbox Hundreds of Practical Ideas to Support Your Students

The Math Teacher's Toolbox Hundreds of Practical Ideas to Support Your Students

Author: Bobson Wong, Larisa Bukalov Format: Paperback / softback Release Date: 26/06/2020

Math teachers will find the classroom-tested lessons and strategies in this book to be accessible and easily implemented in the classroom The Teacher's Toolbox series is an innovative, research-based resource providing teachers with instructional strategies for students of all levels and abilities. Each book in the collection focuses on a specific content area. Clear, concise guidance enables teachers to quickly integrate low-prep, high-value lessons and strategies in their middle school and high school classrooms. Every strategy follows a practical, how-to format established by the series editors. The Math Teacher's Toolbox contains hundreds of student-friendly classroom lessons and teaching strategies. Clear and concise chapters, fully aligned to Common Core math standards, cover the underlying research, required technology, practical classroom use, and modification of each high-value lesson and strategy. This book employs a hands-on approach to help educators quickly learn and apply proven methods and techniques in their mathematics courses. Topics range from the planning of units, lessons, tests, and homework to conducting formative assessments, differentiating instruction, motivating students, dealing with math anxiety, and culturally responsive teaching. Easy-to-read content shows how and why math should be taught as a language and how to make connections across mathematical units. Designed to reduce instructor preparation time and increase student engagement and comprehension, this book: Explains the usefulness, application, and potential drawbacks of each instructional strategy Provides fresh activities for all classrooms Helps math teachers work with ELLs, advanced students, and students with learning differences Offers real-world guidance for working with parents, guardians, and co-teachers The Math Teacher's Toolbox: Hundreds of Practical ideas to Support Your Students is an invaluable source of real-world lessons, strategies, and techniques for general education teachers and math specialists, as well as resource specialists/special education teachers, elementary and secondary educators, and teacher educators.

Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs

Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs

Author: Svetlin G. Georgiev, Khaled Zennir Format: Hardback Release Date: 10/06/2020

The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics and solution techniques. The main aim of this monograph is to study existence of multiple fixed points for some operators that are of the form T + F, where T is an expansive operator and F is a k-set contraction. The monograph offers the reader an overview of recent developments of multiple fixed point theorems and their applications.

Neutrosophic Theories in Communication, Management and Information Technology

Neutrosophic Theories in Communication, Management and Information Technology

Author: Florentin Smarandache Format: Hardback Release Date: 01/06/2020

Contributing to the fast-growing new field of neutrosophy, this book provides a significant collection of inedited articles covering the latest ongoing research area. Neutrosopy is above all a new view on modelling, tailored to effectively address the uncertainties inherent to the real world. In short, neutrosophy supersedes in logics the binary approach of true or false by introducing a third state: neutral, which can be also interpreted as indeterminate, uncertain and inconsistent. Development of neutrosophy, since its conception by Smarandache in 1988, has grown exponentially by conceptual extensions to logics, measure, sets, graphs, as well as practical applications in namely all fields. It can be thought of as a generalization of fuzzy logic and its variants like intuitionistic fuzzy logic. Registered in a wide collection of books on this promising field, here we deliver to researchers, lecturers and postgraduate students pursuing research on neutrosophic, a set of eighteen unreleased articles on state-of-the-art theoretical developments, applications and understanding of neutrosophy. This volume complements the reference works of the founder and extends the already numerous books of him and other researchers on the subject. This book starts by describing in an application major step for product acceptance determination using similarity measure index by applying neutrosophic statistics. In one of the latest major mathematics branches, graph theory, we provide an article on neutrosophic extension of graphs that we can call a neutrosophic graph. A reflection is given on the true nature of neutrosophy by exploring its link with learning such as by Artificial Neural Networks, including Deep Learning. Again in mathematics a discussion is made on the solving of system of linear equations in neutrosophic representation. We also go to the opposite end of the theory, down to the practical details of implementation of topology using the C# language. Neutrosophic probability is another big new research field. Here we give a study on the advantages of using neutrosophic variables. Other disciplines such as algebraic structures, topological spaces, and decision-making as well as problems in logistics and transport are covered by the remaining articles. Last but not least, a major paper is given, that concludes this short presentation of our book, When Neutrosophic Theory Meets Three-Way Decisions .

Perturbation Methods in Matrix Analysis and Control

Perturbation Methods in Matrix Analysis and Control

Author: Mihail M. Konstantinov Format: Hardback Release Date: 01/06/2020

The book presents a unified approach to the perturbation analysis in Matrix Analysis and Control, based on the method of splitting operators and Lyapunov majorant functions. Combined with the Schauder or Banach fixed point principles, this approach allows to obtain rigorous non-local perturbation bounds for a set of important objects in Linear Algebra and Control Theory. Among them are the Schur system of a matrix, the QR decomposition of a matrix, the orthogonal canonical forms of time-invariant linear systems, the state and output feedback gains in pole assignment design, the generalized Schur system of a pair of matrices, the Hamiltonian-Schur and block Hamiltonian-Schur forms of Hamiltonian matrices, and others. In this way, the approach proposed can be used as a unified tool in deriving asymptotic and nonlocal perturbation bounds in matrix analysis and control theory. An important technique of the method considered is the construction of an operator equation, which is equivalent to the perturbed problem. It is based on the splitting of a certain linear matrix operator and its argument into strictly lower, diagonal and strictly upper parts, respectively. This allows to unify the perturbation analysis of matrix problems, involving unitary matrices, in which the resulting matrix is upper triangular. Some other issues such as perturbation analysis of problems with non-unique solution and construction of improved asymptotic perturbation bounds are also considered. The book is intended as a reference in the area of matrix computations and control theory. It will be of interest to researchers in the area of matrix analysis, linear control theory and applied mathematics. The book may also be useful for graduate students in the area of applied mathematics.