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Publish a Book Chapter in "Advances in Modern Mathematics: Theory, Computation, and Applications (Volume - 1)"


Call for Book Chapters: Submissions Now Open

978-3-96492-717-0
Invited Topics

  1. Randomized Numerical Linear Algebra: Sketching and Acceleration Methods
  2. High-Performance Scientific Computing: Algorithms and Architectures
  3. Adaptive Methods in Computation: Error Estimation and Mesh Refinement
  4. Spectral Methods for Differential Equations: Accuracy and Implementation
  5. Finite Element Methods: Variational Formulations and Computational Practice
  6. Finite Volume Methods: Conservation Laws and Engineering Applications
  7. Computational Harmonic Analysis: Fast Transforms and Sparse Representations
  8. Discrete Mathematics in Computing: Structures, Proofs, and Algorithms
  9. Combinatorics in the 21st Century: Counting, Extremal Problems, and Randomness
  10. Graph Theory Advances: Structure, Algorithms, and Network Applications
  11. Spectral Graph Theory: Laplacians, Expansion, and Community Structure
  12. Random Graphs and Probabilistic Methods: Thresholds and Concentration
  13. Probabilistic Combinatorics: Methods and Modern Results
  14. Probability Theory: Limit Theorems and Stochastic Convergence
  15. Stochastic Processes: Martingales, Markov Chains, and Diffusions
  16. Stochastic Differential Equations: Theory and Computational Schemes
  17. Mathematical Statistics: Estimation, Testing, and Asymptotic Theory
  18. Information Theory: Entropy, Coding, and Modern Data Applications
  19. Coding Theory: Error Correction, Decoding Algorithms, and Applications
  20. Cryptography: Number Theory Foundations and Post-Quantum Directions
  21. Modern Number Theory: Primes, Diophantine Equations, and L-Functions
  22. Algebraic Number Theory: Ideals, Class Groups, and Global Fields
  23. Elliptic Curves: Arithmetic, Algorithms, and Cryptographic Applications
  24. Algebra in Modern Mathematics: Groups, Rings, and Modules
  25. Representation Theory: Symmetry, Characters, and Applications
  26. Commutative Algebra: Ideals, Dimension, and Computational Tools
  27. Field Theory and Galois Theory: Structures and Solvability
  28. Algebraic Geometry: Varieties, Schemes, and Computational Approaches
  29. Computational Algebraic Geometry: Gröbner Bases and Elimination Methods
  30. Category Theory for Mathematicians: Functors, Natural Transformations, and Structure
  31. Homological Algebra: Complexes, Cohomology, and Derived Functors
  32. Topological Invariants: Homology, Cohomology, and Applications
  33. Topological Data Analysis: Persistent Homology and Computational Pipelines
  34. Optimal Transport: Theory, Geometry, and Algorithms
  35. Geometric Measure Theory: Rectifiability, Currents, and Applications
  36. Mathematical Physics: Symmetry, Conservation, and Geometric Methods
  37. Fluid Dynamics and PDEs: Mathematical Foundations of Flow
  38. Turbulence Modeling: Analysis, Computation, and Open Problems
  39. Reaction–Diffusion Systems: Pattern Formation and Biological Modeling
  40. Mathematical Biology: Modeling, Inference, and Computation
  41. Epidemiological Modeling: Structure, Control, and Uncertainty
  42. Population Dynamics: Stability, Bifurcations, and Spatial Effects
  43. Game Theory: Equilibria, Learning Dynamics, and Mechanism Design
  44. Discrete Optimization: Integer Programming and Approximation Algorithms
  45. Continuous Optimization: Gradient Methods and Global Strategies
  46. Variational Inequalities: Existence, Algorithms, and Applications
  47. Mathematical Modeling of Networks: Structure, Dynamics, and Control
  48. Network Science: Graph Models, Spreading Processes, and Robustness
  49. Randomized Algorithms: Probabilistic Guarantees and Practical Performance
  50. Algorithmic Complexity: Lower Bounds and Hardness
  51. Numerical Methods for Inverse Problems: Regularization and Stability
  52. Inverse Problems in Imaging: Reconstruction and Sparsity
  53. Compressed Sensing: Sparse Recovery Theory and Algorithms
  54. Sparse Approximation: Greedy Methods and Guarantees
  55. Computational Topology: Algorithms for Shapes and Data
  56. Computational Geometry: Convex Hulls, Voronoi Diagrams, and Applications
  57. Mathematical Finance: Stochastic Calculus and Derivative Pricing
  58. Risk Measures and Portfolio Theory: Optimization and Regulation
  59. Time Series Models: Theory, Estimation, and Forecasting
  60. Nonlinear Time Series: Chaos, Regimes, and Prediction
  61. Control Theory: Stability, Robustness, and Optimality
  62. Model Predictive Control: Algorithms and Real-Time Implementation
  63. Learning Theory Connections: Optimization, Generalization, and Geometry
  64. Mathematics of Machine Learning: Kernels, Representations, and Dynamics
  65. Operator Splitting Methods: ADMM and Proximal Algorithms
  66. Proximal Gradient Methods: Theory and Applications
  67. Fixed Point Theory: Iterations, Convergence, and Applications
  68. Nonlinear Functional Analysis: Monotone Operators and PDE Links
  69. Fractional Calculus: Theory, Models, and Numerical Methods
  70. Nonlocal PDEs: Analysis and Applications
  71. Variational Models in Imaging: TV Regularization and Beyond
  72. Multiscale Modeling: Homogenization and Effective Equations
  73. Mathematical Methods for Materials: Elasticity, Plasticity, and Fracture
  74. Mathematical Approaches to Robotics: Geometry, Control, and Planning
  75. PDE-Constrained Optimization: Theory and Numerical Methods
  76. Uncertainty Quantification: Probabilistic Numerics and Sensitivity
  77. Scientific Reproducibility in Computation: Verification and Validation
  78. Open Problems in Modern Mathematics: Themes and Directions
  79. Interdisciplinary Mathematics: Bridging Theory and Applications
  80. Future Trends in Modern Mathematics: Computation, Data, and Discovery
Book Scope

  • Real Analysis
  • Complex Analysis
  • Functional Analysis
  • Measure Theory
  • Topology Basics
  • Differential Geometry
  • Abstract Algebra
  • Group Theory
  • Ring Theory
  • Field Theory
  • Number Theory
  • Algebraic Geometry
  • Combinatorics
  • Graph Theory
  • Probability Theory
  • Stochastic Processes
  • Dynamical Systems
  • Chaos Theory
  • Differential Equations
  • Partial Differential Equations
  • Variational Methods
  • Optimization Theory
  • Convex Analysis
  • Numerical Analysis
  • Approximation Theory
  • Spectral Theory
  • Operator Theory
  • Harmonic Analysis
  • Wavelets
  • Mathematical Physics
  • Fluid Dynamics Math
  • Mathematical Biology
  • Epidemiological Models
  • Population Dynamics
  • Financial Mathematics
  • Risk Modeling
  • Cryptography Math
  • Coding Theory
  • Information Theory
  • Computational Algebra
  • Symbolic Computation
  • High-Performance Computing
  • Randomized Algorithms
  • Discrete Optimization
  • Game Theory
  • Network Science
  • Topological Data Analysis
  • Optimal Transport
  • Mathematics Education Research
  • Interdisciplinary Modeling


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Deadline

31th Jan 2026