(Paperback, First Edition, First ed.)

Introduction to calculus for both undergraduate math majors and those pursuing other areas of science and engineering for whom calculus will be a vital tool. Solutions available as free downloads. 1967 edition.

(Paperback)

Concise introductory treatment, suitable for college undergraduates in mathematics as well as students of physics and engineering, covers vector algebra, vector calculus, and standard applications. Rich in exercises and examples. 1963 edition.

(Paperback, First Edition, First ed.)

Part I: rigorous presentation of tensor calculus as a develoment of vector analysis. Part II: important applications of tensor calculus. Concluding section: field equations of general relativity theory. 1962 edition.

(Paperback, Updated and expanded ed)

Revised and updated, this self-contained treatment covers a wide range of theory and applications including robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. 2000 edition.

(Paperback)

Well-known, concise lecture notes present fundamentals of the Lebesgue theory of integration and introduce some applications. Topics include measures, integration, theorems of Fubini, representations of measures, Lebesgue spaces, differentiation, Fourier series. 1969 edition.

(Paperback)

This classic offers a comprehensive logical treatment that concentrates on theory rather than on techniques and applications, providing students with a substantial base for graduate work in physics. 1940 edition.

(Hardback)

"Bernhardt illustrates how seemingly magical technological feats of the digital revolution can be explained by some surprisingly simple math"--

(Hardback)

(Paperback)

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. His novel approach--known as Aubry-Mather theory--singles out the existence of special orbits and invariant measures of the system, which posse

(Hardback)

Introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters. This book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree.

(Hardback)

Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. This volume gathers papers from internationally renowned mathematicians, many of whom have been Stein's students.

(Hardback)

Presents an understanding of basic and advanced spaces through the application of the Metric Completion Theorem. This book focuses on examples from econometrics to explain topics in measure theory.

(Hardback)

(Hardback)

(Hardback)

Focuses on the difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. This book provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions.

(Hardback)

John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P Steele prizes. This book gathers together surveys and papers inspired by Milnor's work.

(Hardback)

Discusses about differential equations. This book presents elementary dynamical systems. It is suitable for undergraduate mathematics, engineering, and science students.

(Hardback)

Emphasizing the theory behind the computation, this book provides a self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software. It presents the mathematical foundations of numerical analysis. It introduces many advanced concepts in modern analysis.

(Hardback)

Provides an exploration of standard numerical analysis topics, as well as non-traditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. This textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering.

(Hardback)

This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book ser

(Hardback)

Intended for the students interested in the disciplines of mathematics, physics, engineering, and finance, at both the undergraduate and graduate levels, this third volume in a series of titles focuses on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals.

(Paperback)

Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. This book offers an introduction to the subject, explaining what spin glasses are, and how they are opening up new ways of thinking about complexity.

(Hardback)