Related papers: Some Fundamental Theorems in Mathematics
This book intends to give the main definitions and theorems in mathematics which could be useful for workers in theoretical physics. It gives an extensive and precise coverage of the subjects which are addressed, in a consistent and…
We discuss a version of the fundamental theorem of calculus in several variables and some applications, of potential interest as a teaching material in undergraduate courses.
An exposition of the basic geometry of twistor integrals, intended for mathematicians.
Course material for mathematical methods of theoretical physics intended for an undergraduate audience.
This is an expository introduction to simplicial sets and simplicial homotopy theory with particular focus on relating the combinatorial aspects of the theory to their geometric/topological origins. It is intended to be accessible to…
This is neither an elementary introduction to singularity theory nor a specialized treatise containing many new theorems. The purpose of this little book is to invite the reader on a mathematical promenade. We pay a visit to Hipparchus,…
A brief exposition of the point of higher topos theory in (mathematical) physics, commissioned for the Encyclopedia of Mathematical Physics 2nd ed.
A concise guide to very basic bicategory theory, from the definition of a bicategory to the coherence theorem.
In this note some philosophical thoughts and observations about mathematics are expressed, arranged as challenges to some common claims.
These notes offer a basic introduction to the primary mathematical concepts of quantum physics, and their physical significance, from the operator and Hilbert space point of view, highlighting more what are essentially the abstract…
Group Theory has become an invaluable tool in the physics community. Despite numerous introductory books, the subject remains challenging for beginners. Mathematica has emerged as a popular tool for research and education, offering various…
We show a possibility to apply certain philosophical concepts to the analysis of concrete mathematical structures. Such application gives a clear justification of topological and geometric properties of considered mathematical objects.
Courses in mathematical methods for physics students are not known for including too much in the way of mathematical rigour and, in some ways, understandably so. However, the conditions under which some quite commonly used mathematical…
This is an introduction to some of the most probabilistic aspects of free probability theory.
This is a survey of Rational Homotopy Theory, intended for a Mathematical Physics readership.
Since the subject of noncommutative geometry is now entering maturity, we felt there is need for presentation of the material at an undergraduate course level. Our review is a zero order approximation to this project. Thus, the present…
An introduction in quantum mechanical theory for NMR students which covers basic concepts and calculations.
This primer is intended as an introduction to differential forms, a central object in modern mathematical physics, for scientists and engineers.
A description of physical reality in which wholeness is the foundation is discussed along with the motivation for such an attempt. As a possible mathematical framework within which a physical theory based on wholeness may be expressed,…
This expository paper discusses some conjectures related to visibility and blockers for sets of points in the plane.