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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

1-10 of 2429 results in All results

Handbook of MRI Pulse Sequences

  • 2nd Edition
  • March 1, 2025
  • Xiaohong Joe Zhou + 4 more
  • English
  • Hardback
    9 7 8 - 0 - 3 2 3 - 9 1 5 9 7 - 7
  • eBook
    9 7 8 - 0 - 3 2 3 - 9 1 5 9 8 - 4
Handbook of MRI Pulse Sequences, Second Edition includes 92 self-contained sections, with each section focusing on a single subject. A new section on detailing the advanced pulse sequence techniques covers a variety of basic and advanced image reconstruction methods. The extensive topic coverage and cross-referencing makes this book ideal for beginners learning the building blocks of MRI pulse sequence design, as well as for experienced professionals who are seeking deeper knowledge of a particular technique.This book is among the most important medical imaging techniques available today. Each of these scanners is capable of running many different "pulse sequences." These sequences are governed by physics and engineering principles and implemented by software programs that control the MRI hardware.

Markov Chains: Theory and Applications

  • 1st Edition
  • Volume 52
  • February 1, 2025
  • C.R. Rao + 1 more
  • English
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 9 5 7 7 - 5
Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters. Each chapter is written by an international board of authors.

Computer-Aided Diagnosis (CAD) Tools and Applications for 3D Medical Imaging

  • 1st Edition
  • Volume 136
  • January 10, 2025
  • Abhishek Gupta + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 3 2 3 - 9 8 8 5 7 - 5
  • eBook
    9 7 8 - 0 - 3 2 3 - 9 8 8 5 8 - 2
Computer-Aided Diagnosis (CAD) Tools and Applications for 3D Medical Imaging, Volume 136 in the Advances in Computers series, presents detailed coverage of innovations in computer hardware, software, theory, design, and applications. Chapters in this updated release include Introduction to Computer-aided diagnosis (CAD) tools and applications, Enhancement of three-dimensional medical images, Machine Learning Based Techniques for Computer Aided Diagnosis, AI-based image processing techniques for the automatic segmentation of human organs, Watermarking over medical images, Compressive Sensing for 3D Medical Image Compression, and more.Additional chapters cover Image encryption of medical images, Image Registration for 3D Medical Images, Texture-based computations for processing volumetric dental image, Language Processing in the Brain :an fMRI Study, Research challenges and emerging futuristic evolution for 3D medical image processing, Software based medical image analysis, and Automated 3D Visualization and Volume Estimation of Hepatic Structures for Treatment Planning of Hepatocellular Carcinoma.

Agent-Based Models with MATLAB

  • 1st Edition
  • January 1, 2025
  • Erik Cuevas + 3 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 2 4 0 0 4 - 1
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 4 0 0 5 - 8
As the world becomes more complicated and linked, many of our research questions can no longer be answered using straightforward models. Agent-Based Models with MATLAB introduces one of the most important methodologies for complex systems modeling, called Agent-Based Modeling (ABM), using computational implementations and accompanying MATLAB software code as a means of inspiring readers to apply agent-based models to solve a diverse range of problems. Observing the implementation of a particular approach through code can be helpful for readers, even those with strong mathematical abilities, as it eliminates ambiguities and uncertainties, making the material easier to grasp and communicate. The book comes with a large amount of software code accompanying the main text, and the modeling systems described in the book are implemented using MATLAB as the programming language. Despite the heavy mathematical components of Agent-Based Models and complex systems, it is possible to utilize these models without in-depth understanding of their mathematical fundamentals. For many readers, a more feasible goal is to grasp the concepts of these models through programming instead of mathematical formulations. Agent-Based Models with MATLAB enables computer scientists, mathematicians, researchers and engineers to apply ABM in a wide range of research and engineering applications. The book gradually advances from basic to more advanced methods, while reinforcing understanding of complex systems through practical, hands-on applications of various computational models.

Difference Equations and Applications

  • 1st Edition
  • January 1, 2025
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 3 1 4 9 2 - 6
  • eBook
    9 7 8 - 0 - 4 4 3 - 3 1 4 9 3 - 3
Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The book begins with extensive coverage of the calculus of difference equations, including contemporary topics on l_p stability, exponential stability, and parameters that can be used to qualitatively study solutions to non-linear difference equations, including variations of parameters and equations with constant coefficients, before moving on to the Z-Transform and its various functions, scalings, and applications. It covers systems, Lyapunov functions, and stability, a subject rarely covered in competitor titles, before concluding with a comprehensive section on new variations of parameters.Exercises are provided after each section, ranging from an easy to medium level of difficulty. When finished, students are set up to conduct meaningful research in discrete dynamical systems. In summary, this book is a comprehensive resource that delves into the mathematical theory of difference equations while highlighting their practical applications in various dynamic systems. It is highly likely to be of interest to students, researchers, and professionals in fields where discrete modeling and analysis are essential.

Mathematical Methods in Medical and Biological Sciences

  • 1st Edition
  • November 1, 2024
  • Harendra Singh + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 2 8 8 1 4 - 2
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 8 8 1 5 - 9
Mathematical Methods in Medical and Biological Sciences presents mathematical methods for computational models arising in the medical and biological sciences. The book presents several real-life medical and biological models, such as infectious and non-infectious diseases that can be modeled mathematically to accomplish profound research in virtual environments when the cost of laboratory expenses is relatively high. It focuses on mathematical techniques that provide global solutions for models arising in medical and biological sciences by considering their long-term benefits.In addition, the book provides leading-edge developments and insights for a range of applications, including epidemiological modeling of pandemic dynamics, viral infection developments, cancer developments, blood oxygen dynamics, HIV infection spread, reaction-diffusion models, polio infection spread, and chaos modeling with fractional order derivatives.

Encyclopedia of Mathematical Physics

  • 2nd Edition
  • October 1, 2024
  • Richard Szabo + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 3 2 3 - 9 5 7 0 3 - 8
  • eBook
    9 7 8 - 0 - 3 2 3 - 9 5 7 0 6 - 9
Encyclopedia of Mathematical Physics, Second Edition provides a complete resource for researchers, students, and lecturers with an interest in mathematical physics. The book enables readers to access basic information on topics peripheral to their own areas by providing a repository of core information that can be used to refresh even the experienced researcher’s memory and aid teachers in directing students to entries relevant to their course-work. The impressive amount of information in this work - approximately 290 chapters - has been distilled, organized into 10 distinct sections and presented as a complete reference tool to the userThe book is a stimulus for new researchers working in mathematical physics—or in areas using the methods originating from work in mathematical physics—providing them with focused, high-quality background information.

Probability Models

  • 1st Edition
  • Volume 51
  • September 20, 2024
  • Arni S.R. Srinivasa Rao + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 4 4 3 - 2 9 3 2 8 - 3
  • eBook
    9 7 8 - 0 - 4 4 3 - 2 9 3 2 9 - 0
Probability Models, Volume 51 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on Stein’s methods, Probabilities and thermodynamics third law, Random Matrix Theory, General tools for understanding fluctuations of random variables, An approximation scheme to compute the Fisher-Rao distance between multivariate normal distributions, Probability Models Applied to Reliability and Availability Engineering, Backward stochastic differential equation– Stochastic optimization theory and viscous solution of HJB equation, and much more.Additional chapters cover Probability Models in Machine Learning, The recursive stochastic algorithm, randomized urn models and response-adaptive randomization in clinical trials, Random matrix theory: local laws and applications, KOO methods and their high-dimensional consistencies in some multivariate models, Fourteen Lectures on Inference for Stochastic Processes, and A multivariate cumulative damage model and some applications.

Handbook of Statistical Analysis

  • 3rd Edition
  • September 16, 2024
  • Robert Nisbet + 2 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 3 - 1 5 8 4 5 - 2
  • eBook
    9 7 8 - 0 - 4 4 3 - 1 5 8 4 6 - 9
Handbook of Statistical Analysis: AI and ML Applications, third edition, is a comprehensive introduction to all stages of data analysis, data preparation, model building, and model evaluation. This valuable resource is useful to students and professionals across a variety of fields and settings: business analysts, scientists, engineers, and researchers in academia and industry. General descriptions of algorithms together with case studies help readers understand technical and business problems, weigh the strengths and weaknesses of modern data analysis algorithms, and employ the right analytical methods for practical application. This resource is an ideal guide for users who want to address massive and complex datasets with many standard analytical approaches and be able to evaluate analyses and solutions objectively. It includes clear, intuitive explanations of the principles and tools for solving problems using modern analytic techniques; offers accessible tutorials; and discusses their application to real-world problems.

Computer and Information Security Handbook

  • 4th Edition
  • August 28, 2024
  • John Vacca
  • English
  • Hardback
    9 7 8 - 0 - 4 4 3 - 1 3 2 2 3 - 0
  • eBook
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Computer and Information Security Handbook, Fourth Edition offers deep coverage of an extremely wide range of issues in computer and cybersecurity theory, along with applications and best practices, offering the latest insights into established and emerging technologies and advancements. With new parts devoted to such current topics as Cyber Security for the Smart City and Smart Homes, Cyber Security of Connected and Automated Vehicles, and Future Cyber Security Trends and Directions, the book now has 115 chapters written by leading experts in their fields, as well as 8 updated appendices and an expanded glossary.Chapters new to this edition include such timely topics as Threat Landscape and Good Practices for Internet Infrastructure, Cyber Attacks Against the Grid Infrastructure, Threat Landscape and Good Practices for the Smart Grid Infrastructure, Energy Infrastructure Cyber Security, Smart Cities Cyber Security Concerns, Community Preparedness Action Groups for Smart City Cyber Security, Smart City Disaster Preparedness and Resilience, Cyber Security in Smart Homes, Threat Landscape and Good Practices for Smart Homes and Converged Media, Future Trends for Cyber Security for Smart Cities and Smart Homes, Cyber Attacks and Defenses on Intelligent Connected Vehicles, Cyber Security Issues in VANETs, Use of AI in Cyber Security, New Cyber Security Vulnerabilities and Trends Facing Aerospace and Defense Systems, and much more.