Mathematical Foundations

Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with othe...

Famous mathematical constants include the ratio of circular circumference to diameter, = 3.14 , and the natural logarithm base, e = 2.718 . Studen...

Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer...

This text organizes a range of results in chromatic homotopy theory, running a single thread through theorems in bordism and a detailed understandi...

There are a number of intriguing connections between Painlevé equations and orthogonal polynomials, and this book is one of the first to provide an...

Why do we need the real numbers? How should we construct them? These questions arose in the nineteenth century, along with the ideas and techniques...

This book provides an argumentation model for means end-reasoning, a distinctive type of reasoning used for problem-solving and decision-making. Me...

In China, many excellent students in mathematics take an active part in various mathematical contests, and each year, the best six senior high scho...

In China, many excellent students in mathematics take an active part in various mathematical contests, and each year, the best six senior high scho...

Nel volume vengono descritti e analizzati gli algoritmi di ottimizzazione non vincolata maggiormente noti e quelli studiati pi di recente e propost...

Senza richiedere prerequisiti il testo si propone di fornire una dimostrazione dei fondamentali teoremi della logica matematica (compattezza, compl...

Many physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of i...

This book has two chapters. The first is a modern or contemporary account of stability theory. A focus is on the local (formula-by-formula) theory,...

This book has two chapters. The first is a modern or contemporary account of stability theory. A focus is on the local (formula-by-formula) theory,...