Focuses on the fundamentals of a theory, which is an analog of affine algebraic geometry for part...

The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting...

This book is based on notes from a beginning graduate course on partial differential equations. P...

Primarily a book on partial differential equations with two definite slants: toward inverse probl...

Reveals the hidden connections discovered over the last half-century that explain the existence o...

A comprehensive presentation of recent approaches to and results about properties of various clas...

This book presents the basics of quantum computing and quantum information theory. It emphasizes ...

The first half of this book is devoted to a comprehensive introduction to the mathematical founda...

Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - ...

Contains the proceedings of the Centennial Amitsur Symposium, held from November 1-4, 2021, at Th...

Introduces symbolic dynamics from a perspective of topological dynamical systems. After introduci...

Yau, D: Bimonoidal Categories, $E_n$-Monoidal Categories, an

This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal ...

Freud, R: Linear Algebra

Provides a gentle introduction to fractional Sobolev spaces which play a central role in the calc...

Divided into two parts, which can be used as different textbooks, one for an advanced undergradua...

This book provides a detailed treatment of the various facets of modern Sturm-Liouville theory, i...

This textbook provides readers with a working knowledge of the modern theory of complex projectiv...

Being both a beautiful theory and a valuable tool, Lie algebras form a very important area of mat...

This textbook provides a thorough overview of bifurcation theory. Assuming some familiarity with ...

This textbook provides readers with a working knowledge of the modern theory of complex projectiv...

Being both a beautiful theory and a valuable tool, Lie algebras form a very important area of mat...

The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dyna...

This textbook provides a thorough overview of bifurcation theory. Assuming some familiarity with ...

Operads are mathematical devices that describe algebraic structures of many varieties and in vari...

Gives a comprehensive introduction to number theory, with complete proofs, worked examples, and e...

Presents the translation from the Japanese textbook for the grade 10 course, 'Basic Mathematics'....

Provides a comprehensive and self-contained overview of the current state of the theory of charac...

One of the great charms of mathematics is uncovering unexpected connections. In Numbers and Figur...

In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics with the ai...

Contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomolog...

Research in string theory has generated a rich interaction with algebraic geometry, with exciting...

Contains the proceedings of two AMS Special Sessions 'Recent Developments on Analysis and Computa...

Presents survey articles providing a user-friendly introduction to applications of cyclic cohomol...

Provides an elementary introduction to knot theory. Unlike many other books on knot theory, this ...

Exploring topics ranging from artificial intelligence to non-Euclidean geometry, the 13th volume ...

Contains the proceedings of the Virtual Conference on Noncommutative Rings and their Applications...

This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spa...

Provides a lively development of the mathematics needed to answer the question, 'How many times s...

The circle method, pioneered by Ramanujan and Hardy in the early 20th century, has over the past ...

This book provides a self-contained introduction to ordinary differential equations and dynamical...

Complex manifolds are smooth manifolds endowed with coordinate charts that overlap holomorphicall...

Suitable for a graduate or an advanced undergraduate course on spectral geometry, this book start...

This introductory textbook puts forth a clear and focused point of view on the differential geome...

Offers a comprehensive history of the development of mathematics. In addition to being an innovat...

Since the early 1980s, there has been an explosive growth in 4-manifold theory, particularly due ...

Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extra...

Among nonlinear PDEs, dispersive and wave equations form an important class of equations, includi...