Mathematics & Science Books

Devastating natural disasters have profoundly shaped human history, leaving us with a respect for the mighty power of the earth -- and a humbling view of our future. Paleontologist and geologist Donald R. Prothero tells the harrowing human stories behind...

In this unique book, Peter S. Ungar tells the story of mammalian teeth from their origin through their evolution to their current diversity.Mammal Teeth traces the evolutionary history of teeth, beginning with the very first mineralized vertebrate...

Like the better-known Smilodon, or saber-tooth cat, the scimitar-tooth cats of the New World were fierce predators that killed and consumed the largest of North America's species. This volume synthesizes all currently known information about the...

Change in human understanding of the natural world during the early modern period marks one of the most important episodes in intellectual history. This era is often referred to as the scientific revolution, but recent scholarship has challenged...

This book is designed to help researchers better design and analyze observational data from quasi-experimental studies and improve the validity of research on causal claims. It provides clear guidance on the use of different propensity score analysis...

Conditional Gradient Methods: From Core Principles to AI Applications offers a definitive and modern treatment of one of the most elegant and versatile algorithmic families in optimization: the Frank-Wolfe method and its many variants. Originally...

In this sweeping exploration of the relatively recent obesity epidemic, Michael L. Power and Jay Schulkin probe evolutionary biology, history, physiology, and medical science to uncover the causes of our growing girth. The unexpected answer? Our own...

There is no question that advancements in science - especially in physics - have radically changed our concept of nature, revolutionising our view of the universe, even of reality itself. Rosen argues, though, that the material universe in its entirety...

Can science fully comprehend the whole of the material universe? Not according to Joe Rosen.There is no question that advancements in science -- especially in physics -- have radically changed our concept of nature, revolutionizing our view of the...

Despite their small sizes, Maryland and Washington, DC, possess a vast range of environments -- from the high peaks of the Allegheny Ridges to the low marshes of the Chesapeake Bay. Home to 200 nesting bird species, these habitats are under constant...

Power generation is a relatively recent concern because humans had little need for sustained power until the dawn of the Industrial Revolution. Today, modern civilization is wholly dependent on the production and distribution of power. Without it, our...

Wildlife Management and Conservation presents a clear overview of the management and conservation of animals, their habitats, and how people influence both. The relationship among these three components of wildlife management is explained in chapters...

The routines in this book will help students: Frequently revisit essential mathematical concepts Foster and shore up conceptual understanding Engage in mental mathematics, leading to efficiency and fluency Engage in mathematical discourse by constructing...

Research on the Anderson Acceleration (AA) has exploded in the last 15 years. This book brings together these recent fundamental results applied to nonlinear solvers for PDEs, which are ubiquitous across mathematics, science, engineering, and economics...

This is the only book devoted exclusively to Hessenberg and tridiagonal matrices. Hessenberg matrices are involved in Krylov methods for solving linear systems or computing eigenvalues and eigenvectors, in the QR algorithm for computing eigenvalues, and...

The book presents a solution to a problem in adaptive control design that was open for 40 years: robustification of disturbances without compromising asymptotic performance. This original methodology builds on foundational ideas, such as the use of a...

This book provides an easily accessible, yet detailed, discussion of computer arithmetic as mandated by the IEEE 754 floating point standard, arguably the most important standard in the computer industry. The result of an unprecedented cooperation...

Most books on algorithms are narrowly focused on a single field of application. This unique book cuts across discipline boundaries, exposing readers to the most successful algorithms from a variety of fields. Algorithm derivation is a legitimate branch...

Matrix eigenvalue problems arise in a wide variety of fields in science and engineering, so it is important to have reliable and efficient methods for solving them. Of the methods devised, bulge-chasing algorithms, such as the famous QR and QZ...

This concise text presents an introduction to the emerging area of reducing complex nonlinear differential equations or time-resolved data sets to spectral submanifolds (SSMs). SSMs are ubiquitous low-dimensional attracting invariant manifolds that can...

This self-contained textbook provides the foundations of linear optimization, covering topics in both continuous and discrete linear optimization. It gradually builds the connection between theory, algorithms, and applications so that readers gain a...

This comprehensive book focuses on numerical methods for approximating solutions to partial differential equations. Intended as a broad survey of methods, the aim is to introduce readers to the central concepts of various families of discretizations and...

Almost fifty years after he first crossed the small screen, Doctor Who remains a science fiction touchstone. His exploits are thrilling, his world is mind-boggling, and that time travel machine—known as the Tardis—is almost certainly an old-fashioned...

Spark from the Deep tells the story of how human beings came to understand and use electricity by studying the evolved mechanisms of strongly electric fish. These animals have the ability to shock potential prey or would-be predators with high-powered...

Using material from many different sources in a systematic and unified way, this self-contained book provides both rigorous mathematical theory and practical numerical insights while developing a framework for determining the convergence rate of discrete...

This new, considerably expanded edition covers the fundamentals of linear and nonlinear functional analysis, including distribution theory, harmonic analysis, differential geometry, calculus of variations, and degree theory. Numerous applications are...

Implicit-explicit (IMEX) time discretization methods have proven to be highly effective for the numerical solution of a wide class of evolutionary partial differential equations (PDEs) across various contexts. These methods have become mainstream for...

This self-contained book is the first to provide readers with an introduction to mathematical foundations and modeling of stellarator design. It covers the fundamental theoretical building blocks of magnetic fields modeling, some of the associated...

This book is a continuation of the author's earlier book Spline Functions: Computational Methods, published in 2015 by SIAM. This new book focuses on computational methods developed in the last ten years that make use of splines to approximate functions...

Navier-Stokes equations are one of the most impactful techniques for modeling physical flow phenomena. The coupling of velocity and pressure, along with the nonlinearity, is a challenge for the mathematical and numerical analysis of these equations. This...

This book discusses the foundations of the mathematical theory of finite element methods. The focus is on the concept of discrete stability and the exact sequence conforming elements and covers both coercive and non-coercive problems. Following a...

Divided into two self-contained parts, this textbook is an introduction to modern real analysis. More than 350 exercises and 100 examples are integrated into the text to help clarify the theoretical considerations and the practical applications to...

In this textbook on calculus of one variable, applications to the natural sciences play a central role. Examples from biology, chemistry, and physics are discussed in detail without compromising the discussion of the mathematics essential to differential...

Among the many branches of applied mathematics, options pricing theory occupies a unique position: it utilizes a wide range of advanced mathematical concepts, making it appealing to mathematicians, and it is regularly applied at financial institutions,...

This review of Pennsylvania's conservation efforts is the first book to focus exclusively on the state's vertebrates of concern.The 133 species of reptiles, amphibians, birds, and mammals discussed in this book are Pennsylvania's most vulnerable...

Whether you are a student in a wildlife degree program or a professional wildlife biologist, you will find all the up-to-date information on wildlife damage in the pages of this clear, comprehensive text. Wildlife Damage Management includes topics such...

Whether you are a student in a wildlife degree program or a professional wildlife biologist, you will find all the up-to-date information on wildlife damage in the pages of this clear, comprehensive text. Wildlife Damage Management includes topics such...

The contribution of the Dutch craftsman and scholar Isaac Beeckman to early modern scientific thought has never been properly acknowledged. Surprisingly free from the constraints of traditional natural philosophy, he developed a view of the world in...

This text presents a unique treatment of network control systems. Drawing from fundamental principles of dynamical systems theory and dynamical thermodynamics, the authors develop a continuous-time, discrete-time, and hybrid dynamical system and control...

Rounding Errors in Algebraic Processes was the first book to give systematic analyses of the effects of rounding errors on a variety of key computations involving polynomials and matrices. A detailed analysis is given of the rounding errors made in the...

This second edition has been almost completely rewritten to create a textbook designed so instructors can determine the degree of rigor and flexible enough for a one- or two-semester course. The author achieves this by increasing the level of...

Reduced order modeling is an important, growing field in computational science and engineering, and this is the first book to address the subject in relation to computational fluid dynamics. It focuses on complex parametrization of shapes for their...

Fit for students just starting to build a background in mathematics, this textbook provides an introduction to numerical methods for linear algebra problems. Introduction to Numerical Linear Algebra is ideal for a flipped classroom, as it provides...

Applied Numerical Linear Algebra introduces students to numerical issues that arise in linear algebra and its applications. A wide range of techniques are touched on, including direct to iterative methods, orthogonal factorizations, least squares,...

Starting with the fundamentals of classical smooth optimization and building on established convex programming techniques, this research monograph presents a foundation and methodology for modern nonconvex nondifferentiable optimization. It provides...

This book provides an overview of global sensitivity analysis methods and algorithms, including their theoretical basis and mathematical properties. The authors use a practical point of view and real case studies as well as numerous examples, and...

Matrix Analysis and Computations introduces the basics of matrix analysis and presents representative methods and their corresponding theories in matrix computations. In this textbook, readers will find: The matrix theory necessary for direct and...

With its emphasis on practical and conceptual aspects, rather than mathematics or formulas, this accessible book has established itself as the go-to resource on confirmatory factor analysis (CFA). Detailed, worked-through examples drawn from psychology,...