New concept mathematics pdf

Here are some popular concepts in mathematics that have been recently introduced or have gained significant attention:

  1. Category Theory: A branch of mathematics that studies the relationships between mathematical structures, such as groups, rings, and vector spaces.

PDF: "Category Theory for Scientists" by David I. Spivak

  1. Topological Data Analysis: A field that combines topology and data analysis to study the structure of complex data sets.

PDF: "Topological Data Analysis" by Gunnar Carlsson

  1. Machine Learning and Optimization: The application of mathematical techniques to optimize machine learning algorithms and improve their performance.

PDF: "Mathematics of Machine Learning" by Michael I. Jordan

  1. Network Science: The study of complex networks, including social networks, biological networks, and transportation networks.

PDF: "Network Science" by Mark Newman

  1. Computational Complexity Theory: The study of the resources required to solve computational problems, such as time and space complexity.

PDF: "Computational Complexity Theory" by Christos Papadimitriou

  1. Information Geometry: The study of the geometric structure of information spaces, such as probability distributions and statistical manifolds.

PDF: "Information Geometry" by Shun'ichi Amari

  1. Non-Standard Analysis: A branch of mathematics that studies non-standard models of arithmetic, which can be used to develop new mathematical theories and models.

PDF: "Non-Standard Analysis" by Edward Nelson

  1. Mathematical Biology: The application of mathematical techniques to study biological systems, including population dynamics, epidemiology, and systems biology.

PDF: "Mathematical Biology" by James D. Murray

  1. Computational Algebraic Geometry: The study of the intersection of algebraic geometry and computer science, including the use of computational methods to study algebraic varieties.

PDF: "Computational Algebraic Geometry" by David Eisenbud and Joe Harris

  1. Mathematical Finance: The application of mathematical techniques to study financial markets, including option pricing, risk management, and portfolio optimization.

PDF: "Mathematical Finance" by Paul Wilmott

These are just a few examples of the many exciting developments in mathematics. I hope you find something that interests you!