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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.

BooksJournals

    • Information Geometry

      • 1st Edition
      • Volume 45
      • September 26, 2021
      • English
      • Hardback
        9 7 8 0 3 2 3 8 5 5 6 7 9
      • eBook
        9 7 8 0 3 2 3 8 5 5 6 8 6
      The subject of information geometry blends several areas of statistics, computer science, physics, and mathematics. The subject evolved from the groundbreaking article published by legendary statistician C.R. Rao in 1945. His works led to the creation of Cramer-Rao bounds, Rao distance, and Rao-Blackawellizatio... Fisher-Rao metrics and Rao distances play a very important role in geodesics, econometric analysis to modern-day business analytics. The chapters of the book are written by experts in the field who have been promoting the field of information geometry and its applications.

    • Mathematical Methods of Analytical Mechanics

      • 1st Edition
      • November 13, 2020
      • Henri Gouin
      • English
      • Hardback
        9 7 8 1 7 8 5 4 8 3 1 5 8
      • eBook
        9 7 8 0 1 2 8 2 2 9 8 6 6
      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.

    • Geometric Partial Differential Equations - Part I

      • 1st Edition
      • Volume 21
      • January 14, 2020
      • English
      • Hardback
        9 7 8 0 4 4 4 6 4 0 0 3 1
      • eBook
        9 7 8 0 4 4 4 6 4 0 0 4 8
      Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering.

    • Advances in Computers

      • 1st Edition
      • Volume 116
      • January 16, 2020
      • English
      • Hardback
        9 7 8 0 1 2 8 2 0 1 9 6 1
      • eBook
        9 7 8 0 1 2 8 2 0 1 9 7 8
      Advances in Computers, Volume 116, presents innovations in computer hardware, software, theory, design, and applications, with this updated volume including new chapters on Teaching Graduate Students How to Review Research Articles and How to Respond to Reviewer Comments, ALGATOR - An Automatic Algorithm Evaluation System, Graph Grammar Induction, Asymmetric Windows in Digital Signal Processing, Intelligent Agents in Games: Review With an Open-Source Tool, Using Clickstream Data to Enhance Reverse Engineering of Web Applications, and more.

    • 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.

    • Advances in Computers

      • 1st Edition
      • Volume 119
      • May 21, 2020
      • Suyel Namasudra
      • English
      • Hardback
        9 7 8 0 1 2 8 2 0 3 2 5 5
      • eBook
        9 7 8 0 1 2 8 2 0 3 2 6 2
      Advances in Computers, Volume 119, presents innovations in computer hardware, software, theory, design, and applications, with this updated volume including new chapters on Fast Execution of RDF Queries Using Apache Hadoop, A Study of DVFS Methodologies for Multicore Systems with Islanding Feature, Effectiveness of State-of-the-art Dynamic Analysis Techniques in Identifying Diverse Android Malware and Future Enhancements, Eyeing the Patterns: Data Visualization Using Doubly-Seriated Color Heatmaps, Eigenvideo for Video Indexing.

    • Financial, Macro and Micro Econometrics Using R

      • 1st Edition
      • Volume 42
      • January 20, 2020
      • English
      • Hardback
        9 7 8 0 1 2 8 2 0 2 5 0 0
      • eBook
        9 7 8 0 1 2 8 2 0 2 5 1 7
      Financial, Macro and Micro Econometrics Using R, Volume 42, provides state-of-the-art information on important topics in econometrics, including multivariate GARCH, stochastic frontiers, fractional responses, specification testing and model selection, exogeneity testing, causal analysis and forecasting, GMM models, asset bubbles and crises, corporate investments, classification, forecasting, nonstandard problems, cointegration, financial market jumps and co-jumps, among other topics.

    • Matrix Methods

      • 4th Edition
      • February 5, 2020
      • Richard Bronson + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 8 4 1 9 6
      • eBook
        9 7 8 0 1 2 8 1 8 4 2 0 2
      Matrix Methods: Applied Linear Algebra and Sabermetrics, Fourth Edition, provides a unique and comprehensive balance between the theory and computation of matrices. Rapid changes in technology have made this valuable overview on the application of matrices relevant not just to mathematicians, but to a broad range of other fields. Matrix methods, the essence of linear algebra, can be used to help physical scientists-- chemists, physicists, engineers, statisticians, and economists-- solve real world problems.

    • Mathematical Statistics with Applications in R

      • 3rd Edition
      • May 14, 2020
      • Kandethody M. Ramachandran + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 7 8 1 5 7
      • eBook
        9 7 8 0 1 2 8 1 7 8 1 6 4
      Mathematical Statistics with Applications in R, Third Edition, offers a modern calculus-based theoretical introduction to mathematical statistics and applications. The book covers many modern statistical computational and simulation concepts that are not covered in other texts, such as the Jackknife, bootstrap methods, the EM algorithms, and Markov chain Monte Carlo (MCMC) methods, such as the Metropolis algorithm, Metropolis-Hastings algorithm and the Gibbs sampler. By combining discussion on the theory of statistics with a wealth of real-world applications, the book helps students to approach statistical problem-solving in a logical manner. Step-by-step procedure to solve real problems make the topics very accessible.

    • Advances in Mathematics for Industry 4.0

      • 1st Edition
      • October 2, 2020
      • Mangey Ram
      • English
      • Paperback
        9 7 8 0 1 2 8 1 8 9 0 6 1
      • eBook
        9 7 8 0 1 2 8 1 8 9 0 7 8
      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.

Related subjects

Mathematics and applied mathematics

Statistics and probability