Mathematics

A survey of ancient Egyptian mathematics across three thousand yearsMathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC-and the earliest hints of writing and number notation-to the end of the pharaonic period in Greco-Roman times.

Advanced Calculus

Advanced Calculus

A Concrete Approach to Abstract Algebra begins with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familar objects and then uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students.

Introductory Statistics, Student Solutions Manual (e-only)

This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series.

Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation.

A new discipline, Quantum Information Science, has emerged in the last two decades of the twentieth century at the intersection of Physics, Mathematics, and Computer Science.

Essential Statistics, Regression, and Econometrics provides students with a readable, deep understanding of the key statistical topics they need to understand in an econometrics course.

The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work.

Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations.

There is an explosion of interest in Bayesian statistics, primarily because recently created computational methods have finally made Bayesian analysis tractable and accessible to a wide audience.

In 1884, Edwin Abbott Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures-who think and speak and have all too human emotions.

An acclaimed biography of the Enlightenment's greatest mathematicianThis is the first full-scale biography of Leonhard Euler (1707-83), one of the greatest mathematicians and theoretical physicists of all time.

John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics.

An accessible undergraduate textbook on the essential math concepts used in the life sciencesThe life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales.

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering.

Elementary Linear Algebra, Students Solutions Manual

Introduction to Probability Models, Student Solutions Manual (e-only)

Serving as the foundation for a one-semester course in stochastic processes for students familiar with elementary probability theory and calculus, Introduction to Stochastic Modeling, Fourth Edition, bridges the gap between basic probability and an intermediate level course in stochastic processes.

The most comprehensive account of the mathematician's life and workJohn Napier (1550-1617) is celebrated today as the man who invented logarithms-an enormous intellectual achievement that would soon lead to the development of their mechanical equivalent in the slide rule: the two would serve humanity as the principal means of calculation until the mid-1970s.

This book provides a comprehensive and up-to-date introduction to Hodge theory-one of the central and most vibrant areas of contemporary mathematics-from leading specialists on the subject.

An inviting collection of fun, hands-on applications in mathematics and computingThis book provides a fun, hands-on approach to learning how mathematics and computing relate to the world around us and help us to better understand it.

Why do Internet, financial service, and beer commercials dominate Super Bowl advertising?

An entertaining and informative anthology of popular math writing from the Renaissance to cyberspaceDespite what we may sometimes imagine, popular mathematics writing didn't begin with Martin Gardner.

Introduction to WinBUGS for Ecologists introduces applied Bayesian modeling to ecologists using the highly acclaimed, free WinBUGS software.

How do you draw a straight line?

Introduction to Probability Models, Tenth Edition, provides an introduction to elementary probability theory and stochastic processes.

Statistical Bioinformatics provides a balanced treatment of statistical theory in the context of bioinformatics applications.

The hazards of feeling lucky in gamblingWhy do so many gamblers risk it all when they know the odds of winning are against them?

A lively history of the peculiar math of votingSince the very birth of democracy in ancient Greece, the simple act of voting has given rise to mathematical paradoxes that have puzzled some of the greatest philosophers, statesmen, and mathematicians.

The use of computers and computational methods has become ubiquitous in biological and biomedical research.

This book considers classical and current theory and practice, of supervised, unsupervised and semi-supervised pattern recognition, to build a complete background for professionals and students of engineering.

Provides an account of what is now known about physics at scales of 1013 to 1016 cm.

An Introduction to the Mathematics of Finance: A Deterministic Approach, Second edition, offers a highly illustrated introduction to mathematical finance, with a special emphasis on interest rates.

Energy Optimization in Process Systems and Fuel Cells, Second Edition covers the optimization and integration of energy systems, with a particular focus on fuel cell technology.

Statistical Methods, Third Edition, provides students with a working introduction to statistical methods offering a wide range of applications that emphasize the quantitative skills useful across many academic disciplines.

This book presents a unified treatment of linear and nonlinear filtering theory for engineers, with sufficient emphasis on applications to enable the reader to use the theory.

Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

This volume builds upon the foundations set in Volumes 1 and 2.

Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems.

My aim, in writing this monograph, has been to remedy this omission by presenting a comprehensive and unified theory of observers for continuous-time and discrete -time linear systems.

Functional Analysis and Linear Control Theory

Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis - providing a mathematically sophisticated introduction to functional analytical concepts.

La obra plantea la naturaleza compleja y transdisciplinar de los problemas en la educación matemática, afirmando la necesidad de adoptar una posición epistemológica explícita y militante.

Handbook of Statistics_29B contains the most comprehensive account of sample surveys theory and practice to date.

This book provides an introduction to the structure and stability properties of solutions of functional differential equations.

Geometric Algebra for Computer Science (Revised Edition) presents a compelling alternative to the limitations of linear algebra.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.