Mathematics & Science Books

This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as volume 202 in this series. Asymptotic geometric analysis studies properties of geometric objects, such as...

This book presents multiprecision algorithms used in number theory and elsewhere, such as extrapolation, numerical integration, numerical summation (including multiple zeta values and the...

This book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of...

This book provides an elementary analytically inclined journey to a fundamental result of linear algebra: the Singular Value Decomposition (SVD). SVD is a workhorse in many applications of linear...

Have you ever wondered about the explicit formulas in analytic number theory? This short book provides a streamlined and rigorous approach to the explicit formulas of Riemann and von Mangoldt. The...

This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general...

Understanding the behavior of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand for both graduate students and researchers in...

As the open-source and free alternative to expensive software like MapleTM, MathematicaR, and MATLABR, Sage offers anyone with a web browser the ability to use cutting-edge mathematical software and...

This book is an introductory text that charts the recent developments in the area of Whitney-type extension problems and the mathematical aspects of interpolation of data. It provides a detailed tour...

Erdos asked how many distinct distances must there be in a set of $n$ points in the plane. Falconer asked a continuous analogue, essentially asking what is the minimal Hausdorff dimension required of...

Automorphism groups of Riemann surfaces have been widely studied for almost 150 years. This area has persisted in part because it has close ties to many other topics of interest such as number...

The goal of this book is to present a portrait of the $n$-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some crucial tools, the book describes a naturally...

Putting Two and Two Together is a humorous and quirky collection of unusual, ingenious, and beautiful morsels of mathematics. Authors Burkard Polster (YouTube's Mathologer) and Marty Ross delve into...

This book is a translation from Russian of Part III of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, and Part II, Geometry, have been...

This volume contains the proceedings of the AMS Special Session on Celebrating M. M. Rao's Many Mathematical Contributions as he Turns 90 Years Old, held from November 9-10, 2019, at the University...

This volume contains the proceedings of the workshop Crossing the Walls in Enumerative Geometry, held in May 2018 at Snowbird, Utah. It features a collection of both expository and research articles...

The connective topological modular forms spectrum, $tmf$, is in a sense initial among elliptic spectra, and as such is an important link between the homotopy groups of spheres and modular forms. A...

Let $p$ be a prime and$S$ a finite $p$-group. A $p$-fusion system on $S$ is a category whose objects are the subgroups of $S$ and whose morphisms are certain injective group homomorphisms. Fusion...

Owing to its simple formulation and intractable nature, along with its application to the lunar theory, the three-body problem has since it was first studied by Newton in the Principia attracted the...

The French expression "dessins d'enfants'' means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial...

Vladimir Abramovich Rokhlin (8/23/1919-12/03/1984) was one of the leading Russian mathematicians of the second part of the twentieth century. His main achievements were in algebraic topology, real...

Articles in this volume are based on talks given at the International Workshop on Hopf Algebras and Tensor Categories, held from September 9-13, 2019, at Nanjing University, Nanjing, China. The...

Unitary representations of groups play an important role in many subjects, including number theory, geometry, probability theory, partial differential equations, and quantum mechanics. This monograph...

This book introduces advanced undergraduates to Riemannian geometry and mathematical general relativity. The overall strategy of the book is to explain the concept of curvature via the Jacobi...

Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to $q$-analysis, a subject consisting primarily of identities...

This book serves as an introduction to number theory at the undergraduate level, emphasizing geometric aspects of the subject. The geometric approach is exploited to explore in some depth the...

This volume contains the combined Proceedings of the Second International Meeting on Commutative Algebra and Related Areas (SIMCARA) held from July 22-26, 2019, at the Universidade de Sao Paulo, Sao...

This two-volume set containts parts I and II. Each volume is a collection of articles written in memory of Boris Dubrovin (1950-2019). The authors express their admiration for his remarkable...

Calculus from Approximation to Theory takes a fresh and innovative look at the teaching and learning of calculus. One way to describe calculus might be to say it is a suite of techniques that...

This volume is based on lectures delivered at the 2020 AMS Short Course ""Mean Field Games: Agent Based Models to Nash Equilibria,"" held January 13-14, 2020, in Denver, Colorado. Mean field game...

Since its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. This book, which aims to make this theory...

The articles cover new developments in control theory and inverse problems. First, the problem of Calderon, which consists of determining a conductivity appearing in an elliptic equation from...

This book provides an introduction to hyperbolic geometry in dimension three, with motivation and applications arising from knot theory. Hyperbolic geometry was first used as a tool to study knots by...

The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to...

This volume stems from the Linde Hall Inaugural Math Symposium, held from February 22-24, 2019, at California Institute of Technology, Pasadena, California. The content isolates and discusses nine...

This book introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. In Part I, the method is applied to isolate...

The International Sport Coaching Framework (Version 1.2) is an adaptable document that provides a common language and set of principles about coaching on which the worldwide sport community can agree...

Youve just purchased a TI-84 Plus calculator to assist in performing different types of mathematical equations--now, how can you get the most out of it? Youll find the answer to this question with...

The ultimate reference tool and lab partner for any student of science, durably laminated, authored and designed to fit as much info as possible in this handy 2-page format. Consistently, a best...

The study of life, in all its glory; animals and plants we see around us, the tiny organisms we cant see that affect us every day, and even the molecules which make up life. Learning biology, we ask...

Essential anatomical reference covering 15 human body systems. Includes every angle of view starting with full body illustrations and the breakdown of parts that include each layer of depth from skin...

Over 1 million sold to college and high school students supporting better test scores, grades, and improved skills - a best-selling reference for over 25 years. As a college student or being college...

Essential reference to the scientific study of chemical and biochemical phenomena that occur in the environment in natural places. This science is used to monitor and assess long-term effects of...

Essential chemistry concepts, terminology and element identification for students in high school and college. One thousand cards organized by subject category that match course material to support...

In college or college bound, the importance of algebra in an academic career is so large it can determine your future path and college major. This solid prerequisite course can pave the way for...

Get the answers you need at your fingertips faster than any other source. Success in Physics is critical when entering the growing fields of technology, computer science and engineering that will...

For this challenging area of Physics get the answers you need at your fingertips, faster than any other source. Success in Physics is critical when entering the growing fields of technology, computer...