Publish a Book Chapter in "Mathematical Foundations for Data Science and Engineering Applications (Volume - 1)"


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ISBN 978-3-96492-716-3

Mathematics Edited Book | Edited Book on Business and Management


This edited book on mathematics titled "Mathematical Foundations for Data Science and Engineering Applications" mainly focuses on various topics such as linear algebra basics, matrix factorization, vector spaces etc., and the rest are given below in the Scope of the book. This mathematics edited book will be published with ISBN numbers after following a proper double blind peer reviewed process. All the chapters of this mathematics edited book will be published in a proper style, so that reader can easily understand and learn.

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ISBN978-3-96492-716-3
Invited Topics

  1. Linear Algebra as a Language for Data: Vectors, Bases, and Subspaces
  2. Matrix Decompositions in Data Science: QR, LU, and SVD in Practice
  3. Eigenvalues in Engineering Systems: Stability, Resonance, and Modes
  4. Numerical Linear Algebra for Large-Scale Learning: Conditioning and Complexity
  5. Sparse Matrices and Structured Computations in Scientific Computing
  6. Probability Foundations for Modeling Uncertainty in Engineering Data
  7. Random Variables and Transformations: Tools for Feature Engineering
  8. Distribution Theory for Data Science: Families, Estimation, and Fit
  9. Bayesian Reasoning in Engineering Decisions: Priors, Posteriors, and Prediction
  10. Likelihood, Estimation, and Identifiability: Mathematical Perspectives
  11. Statistical Inference Under Model Misspecification: Robustness and Limits
  12. Confidence Intervals and Uncertainty Quantification for Predictive Models
  13. Hypothesis Testing in High Dimensions: Pitfalls and Modern Methods
  14. Regression as Projection: Geometry and Interpretation of Least Squares
  15. Regularization Theory: Ridge, Lasso, and Elastic Net from First Principles
  16. Bias–Variance Trade-Off: Mathematical Derivations and Practical Implications
  17. Convex Sets and Convex Functions: Foundations for Optimization in ML
  18. Optimality Conditions: Gradients, Subgradients, and KKT Theory
  19. Gradient Descent Methods: Convergence Rates and Practical Variants
  20. Stochastic Gradient Methods: Noise, Stability, and Generalization



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ISBN

ISBN: 978-3-96492-716-3

Book Scope

  • Linear Algebra Basics
  • Matrix Factorization
  • Vector Spaces
  • Eigenvalues and Eigenvectors
  • Singular Value Decomposition
  • Numerical Linear Algebra
  • Probability Axioms
  • Random Variables
  • Common Distributions
  • Bayesian Basics
  • Statistical Inference
  • Confidence Intervals
  • Hypothesis Testing
  • Regression Basics
  • Regularization Methods
  • Convex Optimization
  • Gradient Descent
  • Stochastic Optimization
  • Lagrange Multipliers
  • Duality Theory
  • Multivariate Calculus
  • Differential Equations
  • Fourier Series
  • Fourier Transform
  • Laplace Transform
  • Discrete-Time Signals
  • Sampling Theory
  • Information Theory
  • Entropy and Mutual Information
  • Markov Chains
  • Stochastic Processes
  • Gaussian Processes
  • Kernel Methods
  • Reproducing Kernel Hilbert Spaces
  • PCA and Dimensionality Reduction
  • Manifold Learning
  • Graph Theory Basics
  • Spectral Graph Theory
  • Random Graphs
  • Numerical Optimization in ML
  • Numerical Stability
  • Error Analysis
  • Interpolation Methods
  • Numerical Integration
  • Finite Difference Methods
  • Finite Element Methods
  • Control Systems Basics
  • State-Space Models
  • Queuing Theory Basics
  • Engineering Reliability Models


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Deadline

31th Jan 2026