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Books in Applied mathematics

11-20 of 143 results in All results

Boolean Systems

  • 1st Edition
  • January 6, 2023
  • Serban E. Vlad
  • English
  • Paperback
    9 7 8 - 0 - 3 2 3 - 9 5 4 2 2 - 8
  • eBook
    9 7 8 - 0 - 3 2 3 - 9 5 5 6 9 - 0
The Boolean functions may be iterated either asynchronously, when their coordinates are computed independently of each other, or synchronously, when their coordinates are computed at the same time. In Boolean Systems: Topics in Asynchronicity, a book addressed to mathematicians and computer scientists interested in Boolean systems and their use in modelling, author Serban E. Vlad presents a consistent and original mathematical theory of the discrete-time Boolean asynchronous systems. The purpose of the book is to set forth the concepts of such a theory, resulting from the synchronous Boolean system theory and mostly from the synchronous real system theory, by analogy, and to indicate the way in which known synchronous deterministic concepts generate new asynchronous nondeterministic concepts. The reader will be introduced to the dependence on the initial conditions, periodicity, path-connectedness, topological transitivity, and chaos. A property of major importance is invariance, which is present in five versions. In relation to it, the reader will study the maximal invariant subsets, the minimal invariant supersets, the minimal invariant subsets, connectedness, separation, the basins of attraction, and attractors. The stability of the systems and their time-reversal symmetry end the topics that refer to the systems without input. The rest of the book is concerned with input systems. The most consistent chapters of this part of the book refer to the fundamental operating mode and to the combinational systems (systems without feedback). The chapter Wires, Gates, and Flip-Flops presents a variety of applications. The first appendix addresses the issue of continuous time, and the second one sketches the important theory of Daizhan Cheng, which is put in relation to asynchronicity. The third appendix is a bridge between asynchronicity and the symbolic dynamics of Douglas Lind and Brian Marcus.

A Mathematical Approach to Special Relativity

  • 1st Edition
  • September 9, 2022
  • Ahmad Shariati
  • English
  • Paperback
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  • eBook
    9 7 8 - 0 - 3 2 3 - 9 9 7 0 9 - 6
A Mathematical Approach to Special Relativity introduces the mathematical formalisms of special and general relativity. Developed from the author’s experience teaching physics to students across all levels, the valuable resource introduces key concepts, building in complexity and using increasingly advanced mathematical tools as it progresses. Without assuming a background in calculus, the text begins with symmetry, before delving more deeply into Galilean relativity. Throughout, the book provides examples and useful "Guides to the Literature." This unique text emphasizes the experimental consequences and verifications of the underpinning theory in order to provide students with a solid foundation in this key area.

New Numerical Scheme with Newton Polynomial

  • 1st Edition
  • June 10, 2021
  • Abdon Atangana + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 3 2 3 - 8 5 4 4 8 - 1
  • eBook
    9 7 8 - 0 - 3 2 3 - 8 5 8 0 2 - 1
New Numerical Scheme with Newton Polynomial: Theory, Methods, and Applications provides a detailed discussion on the underpinnings of the theory, methods and real-world applications of this numerical scheme. The book's authors explore how this efficient and accurate numerical scheme is useful for solving partial and ordinary differential equations, as well as systems of ordinary and partial differential equations with different types of integral operators. Content coverage includes the foundational layers of polynomial interpretation, Lagrange interpolation, and Newton interpolation, followed by new schemes for fractional calculus. Final sections include six chapters on the application of numerical scheme to a range of real-world applications. Over the last several decades, many techniques have been suggested to model real-world problems across science, technology and engineering. New analytical methods have been suggested in order to provide exact solutions to real-world problems. Many real-world problems, however, cannot be solved using analytical methods. To handle these problems, researchers need to rely on numerical methods, hence the release of this important resource on the topic at hand.

Advanced Mathematics for Engineering Students

  • 1st Edition
  • May 20, 2021
  • Brent J. Lewis + 2 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 2 3 6 8 1 - 9
  • eBook
    9 7 8 - 0 - 1 2 - 8 2 3 6 8 2 - 6
Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author’s university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering – a “toolbox” for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical).

The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling

  • 1st Edition
  • January 9, 2021
  • Amit Kumar + 1 more
  • English
  • Paperback
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  • eBook
    9 7 8 - 0 - 1 2 - 8 2 3 1 5 8 - 6
The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling discusses the many factors affect reliability and performance, including engineering design, materials, manufacturing, operations, maintenance, and many more. Reliability is one of the fundamental criteria in engineering systems design, with maintenance serving as a way to support reliability throughout a system’s life. Addressing these issues requires information, modeling, analysis and testing. Different techniques are proposed and implemented to help readers analyze various behavior measures (in terms of the functioning and performance) of systems.

Mathematical Methods of Analytical Mechanics

  • 1st Edition
  • November 13, 2020
  • Henri Gouin
  • English
  • Hardback
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  • eBook
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Mathematical Methods of Analytical Mechanics uses tensor geometry and geometry of variation calculation, includes the properties associated with Noether's theorem, and highlights methods of integration, including Jacobi's method, which is deduced. In addition, the book covers the Maupertuis principle that looks at the conservation of energy of material systems and how it leads to quantum mechanics. Finally, the book deduces the various spaces underlying the analytical mechanics which lead to the Poisson algebra and the symplectic geometry.

Advances in Mathematics for Industry 4.0

  • 1st Edition
  • October 2, 2020
  • Mangey Ram
  • English
  • Paperback
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  • eBook
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Advances in Mathematics for Industry 4.0 examines key tools, techniques, strategies, and methods in engineering applications. By covering the latest knowledge in technology for engineering design and manufacture, chapters provide systematic and comprehensive coverage of key drivers in rapid economic development. Written by leading industry experts, chapter authors explore managing big data in processing information and helping in decision-making, including mathematical and optimization techniques for dealing with large amounts of data in short periods.

Calculus for Engineering Students

  • 1st Edition
  • August 10, 2020
  • Jesus Martin Vaquero + 3 more
  • English
  • Paperback
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  • eBook
    9 7 8 - 0 - 1 2 - 8 1 7 2 1 1 - 7
Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications.

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

  • 1st Edition
  • July 24, 2020
  • Elina Shishkina + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 9 7 8 1 - 3
  • eBook
    9 7 8 - 0 - 1 2 - 8 2 0 4 0 7 - 8
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights.

Optimization Theory Based on Neutrosophic and Plithogenic Sets

  • 1st Edition
  • January 14, 2020
  • Florentin Smarandache + 1 more
  • English
  • Paperback
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  • eBook
    9 7 8 - 0 - 1 2 - 8 1 9 9 0 8 - 4
Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic.