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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 2680 results in All results

Post-Quantum Cryptography Algorithms and Approaches for IoT and Blockchain Security

  • 1st Edition
  • Volume 136
  • January 15, 2025
  • Kavita Saini + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 3 2 3 - 9 1 4 7 8 - 9
  • eBook
    9 7 8 - 0 - 3 2 3 - 9 1 4 7 9 - 6
Post-Quantum Cryptography Algorithms and Approaches for IoT and Blockchain Security, Volume 136, the latest release in the Advances in Computers series published since 1960, presents detailed coverage of innovations in computer hardware, software, theory, design and applications. In addition, it provides contributors with a medium in which they can explore their subjects in greater depth and breadth than journal articles usually allow. This volume has 19 Chapters that discuss the various aspects of Post-Quantum Cryptography Algorithms.

Agent-Based Models with MATLAB

  • 1st Edition
  • January 1, 2025
  • Erik Cuevas + 3 more
  • English
  • Paperback
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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.

Probability for Deep Learning Quantum

  • 1st Edition
  • January 1, 2025
  • Charles R. Giardina
  • English
  • Paperback
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Probability for Deep Learning Quantum provides readers with the first book to address probabilistic methods in the deep learning environment and the quantum technological area simultaneously, by using a common platform: the Many-Sorted Algebra (MSA) view. While machine learning is created with a foundation of probability, probability is at the heart of quantum physics as well. It is the cornerstone in quantum applications. These applications include quantum measuring, quantum information theory, quantum communication theory, quantum sensing, quantum signal processing, quantum computing, quantum cryptography, and quantum machine learning. Although some of the probabilistic methods differ in machine learning disciplines from those in the quantum technologies, many techniques are very similar. Probability is introduced in the text rigorously, in Komogorov’s vision. It is however, slightly modified by developing the theory in a Many-Sorted Algebra setting. This algebraic construct is also used in showing the shared structures underlying much of both machine learning and quantum theory. Both deep learning and quantum technologies have several probabilistic and stochastic methods in common. These methods are described and illustrated using numerous examples within the text. Concepts in entropy are provided from a Shannon as well as a von-Neumann view. Singular value decomposition is applied in machine learning as a basic tool and presented in the Schmidt decomposition. Besides the in-common methods, Born’s rule as well as positive operator valued measures are described and illustrated, along with quasi-probabilities. Author Charles R. Giardina provides clear and concise explanations, accompanied by insightful and thought-provoking visualizations, to deepen your understanding and enable you to apply the concepts to real-world scenarios.

Difference Equations and Applications

  • 1st Edition
  • January 1, 2025
  • English
  • Paperback
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  • eBook
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Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The textbook deliberately presents difficult material in an accessible manner by utilizing friendly notations and multiple examples. The book begins with extensive coverage of the calculus of difference equations. It includes contemporary topics on l_p stability, exponential stability, and parameters that can be used to qualitatively study solutions to non-linear difference equations. The book begins by discussing the calculus of normal and 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 easy to a medium level of difficulty, and, when finished, students are set up to conduct meaningful research in discrete dynamical systems.  In summary, the book appears to be 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.

Computational Modeling Applications for Climate Crisis

  • 1st Edition
  • December 1, 2024
  • Utku Kose + 2 more
  • English
  • Paperback
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  • eBook
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Computational Modeling Applications for Climate Crisis provides readers with innovative research on the applications of computational modeling to moderate climate change. The book begins with an overview and history of climate change, followed by several chapters covering the concepts of computational modeling and simulation, including parameters of climate change, modeling the effects of human activities, visualization tools, and data fusion for advanced modeling applications. It then proceeds to cover decision support systems, modeling of technological solutions for climate change, modeling of greenhouse gas emissions, tracking of climate factors, and modeling of earth resources. In the final chapters of the book, the authors cover nation-based outcomes, big data, and optimization solutions with real-world data and case studies. Climate change is one of the most pressing existential issues for humans and the planet, and this book covers leading-edge applications of computational modeling to the vast array of interdisciplinary factors and challenges posed by climate change. As life itself is a mixture of occurrences that can be mathematically modelled, it is important to work with specific parameters, which are critical for monitoring and controlling the dynamics of the earth, natural resources, technological factors, and human activities.

Handbook of MRI Pulse Sequences

  • 2nd Edition
  • November 1, 2024
  • Xiaohong Joe Zhou + 4 more
  • English
  • Hardback
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  • eBook
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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.

Case Studies in Mathematical Modeling for Medical Devices

  • 1st Edition
  • November 1, 2024
  • John Crowe
  • English
  • Paperback
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  • eBook
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Case Studies in Mathematical Modelling for Medical Devices: How Pulse Oximeters and Doppler Ultrasound Fetal Heart Rate Monitors Work focuses on three medical devices used to monitor some aspect of physiological status: pulse oximetry, laser Doppler flowmetry and Doppler ultrasound fetal heart rate monitoring. The book's three case studies serve as the basis for readers to be able to generalize modeling to other medical devices. It introduces mathematical topics that appear in many areas of science and engineering by demonstrating the value of being able to model how devices work. This requires a brief description of their operating principles before appropriate mathematics. Containing three parts about each medical device, the book begins with a chapter on probability distributions that will be used in oximetry and laser Doppler flowmetry parts. This book is for MSc and PhD students in biomedical engineering and those interested in the mathematics behind the design of the instrumentation that they use.

The Role of Blockchain in Disaster Management

  • 1st Edition
  • November 1, 2024
  • Ayan Kumar Das + 3 more
  • English
  • Paperback
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  • eBook
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The Role of Blockchain in Disaster Management explores the architecture and implementation of existing blockchain-based IoT frameworks for the detection and prevention of disasters, along with the management of relative supply chains to protect against mismanagement of essential materials. The distributed nature of Blockchain helps to protect data from internal or external attacks, especially in disaster areas or times of crisis when database systems become overloaded and vulnerable to unauthorized access, manipulation, and disruption of critical services. This book can be used as a reference by graduate students, researchers, professors, and professionals in computer science, software design, and disaster management.

Mathematical Methods in Medical and Biological Sciences

  • 1st Edition
  • November 1, 2024
  • Harendra Singh + 1 more
  • English
  • Paperback
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Mathematical Methods in Medical and Biological Sciences presents mathematical methods for computational models arising in medical and biological sciences. Several real-life medical and biological models such as infectious and non-infectious diseases can be modelled mathematically to accomplish profound research on them in virtual environments when the cost of laboratory expenses is relatively high. This book focuses on mathematical techniques that provide global solutions for models arising in medical and biological sciences by considering their long-term benefits. The mathematical treatment of these models is very helpful in understanding these models and their real-world applications. The methods and modelling techniques presented by the authors are useful for mathematicians, engineers, doctors, scientists, and researchers working on the mathematical treatment of models in a wide range of medical and biological sciences. Mathematical Methods in Medical and Biological Sciences presents leading-edge developments and insights for a range of applications, including epidemiological modeling of pandemic dynamics, viral infection development, cancer development, blood oxygen dynamics, HIV infection spread, reaction-diffusion models, polio infection spread, and chaos modeling with fractional order derivatives. The book provides readers with both the modeling methods and their applications to reinforce learning.

Encyclopedia of Mathematical Physics

  • 2nd Edition
  • October 1, 2024
  • Richard Szabo + 1 more
  • English
  • Hardback
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  • eBook
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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.