Dear Colleagues,

Mathematics is called the language of science because it is pervasive in almost all applied sciences, from physics and engineering to economy, biology, medicine, and even art and social studies.

This Special Issue aims to be a solid ground for attracting contributions reviewing all areas of mathematics and its applications, focusing on presenting recent advances in a systematic form. The Special Issue intends to include a series of publications that report on the latest mathematical research in a synthetic way for scientists, mathematicians, and non-mathematicians. Therefore, it is of particular importance to establish a good balance between well-known theories available in textbooks, and front-end, ongoing research with volatile, or not yet systematic, conclusions. Contributions are expected not only to include the comprehensive treatment of the fundamentals but also to have a special focus on the newest developments. Applications in present-day science are also of utmost importance, where multidisciplinary and interdisciplinary issues play a major role in gathering the synergies of distinct tools and perspectives. Cross-field review contributions with a solid mathematical background establishing bridges between different areas of knowledge are also of key relevance for supporting further progress in mathematics and its applications.

Prof. Dr. Alberto Cabada
Prof. Dr. Francisco Chiclana
Prof. Dr. Sergei Petrovskii
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• algebraic geometry
• algebraic topology
• analysis of PDEs
• category theory
• classical analysis and ODEs
• combinatorics
• commutative algebra
• complex variables
• differential geometry
• dynamical systems
• functional analysis
• general mathematics
• general topology
• geometric topology
• group theory
• history and overview
• information theory
• K-theory and homology
• logic
• mathematical physics
• metric geometry
• number theory
• numerical analysis
• operator algebras
• optimization and control
• probability
• quantum algebra
• representation theory
• rings and algebras
• spectral theory
• statistics theory
• symplectic geometry
• geometric analysis
• variational problems
• mathematical finance
• harmonic analysis
• computer science
• quantum theory
• mathematical and computational biology
• fuzzy mathematic (theory and applications)
• fuzzy logic
• fuzzy decision making
• mathematical ecology
• population dynamics
• pattern formation
• diffusion
• reaction waves
• food webs and networks
• random walks and animal movement
• anomalous diffusion and levy flights