The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Maa Problem Books Series.) by Cambridge University Press $35.99
Michael Steele describes the fundamental topics in mathematical inequalities and their uses. Using the Cauchy-Schwarz inequality as a guide, Steele presents a fascinating collection of problems related to inequalities and coaches readers through solutions, in a style reminiscent of George Polya, by teaching basic concepts and sharpening problem solving skills at the same time. Undergraduate and...
A Guide to MATLAB: For Beginners and Experienced Users by Cambridge University Press $67.00
This is a short, focused introduction to MATLAB, a comprehensive software system for mathematical and technical computing. It contains concise explanations of essential MATLAB commands, as well easily understood instructions for using MATLAB's programming features, graphical capabilities, simulation models, and rich desktop interface. Written for MATLAB 7 it can also be used with earlier (and...
A User's Guide to Measure Theoretic Probability (Cambridge Series in Statistical and Probabilistic Mathematics) by Cambridge University Press $48.99
This book grew from a one-semester course offered for many years to a mixed audience of graduate and undergraduate students who have not had the luxury of taking a course in measure theory. The core of the book covers the basic topics of independence, conditioning, martingales, convergence in distribution, and Fourier transforms. In addition there are numerous sections treating topics...
Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability (Cambridge Studies in Advanced Mathematics) by Cambridge University Press $81.00
The focus of this book is geometric properties of general sets and measures in Euclidean spaces. Applications of this theory include fractal-type objects, such as strange attractors for dynamical systems, and those fractals used as models in the sciences. The author provides a firm and unified foundation for the subject and develops all the main tools used in its study, such as covering theorems,...
The Theory of Distributions: A Nontechnical Introduction by Cambridge University Press $51.99
This book is a self-contained introduction to the theory of distributions, sometimes called generalized functions. Most books on this subject are either intuitive or else rigorous but technically demanding. Here, by concentrating on the essential results, the authors have introduced the subject in a way that will most appeal to non-specialists, yet is still mathematically correct. Topics covered...
A Second Course in Mathematical Analysis by Cambridge University Press $37.95
The classic analysis textbook from Burkill and Burkill is now available in the Cambridge Mathematical Library. This straightforward course, based on the idea of a limit, is for students of mathematics and physics who have acquired a working knowledge of calculus and are ready for a more systematic approach. The treatment given here also brings in other limiting processes, such as the summation of...
Understanding Probability: Chance Rules in Everyday Life by Cambridge University Press $36.99
Mastering the concepts of probability can cast new light on situations in which randomness and chance appear to rule. With an emphasis on why probability works and how it can be applied, Henk Tijms introduces the reader to the world of probability in an informal way. Lotteries and casino games provide a natural source of motivation, and he carefully discusses these with many worked examples to...
Applications of Lie Groups to Differential Equations (Advances in Physical Geochemistry) by Springer $54.00
Symmetry methods have long been recognized to be of great importance for the study of the differential equations. This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented so that graduate students and researchers can readily learn to use them. Following an exposition of...
2500 Solved Problems in Differential Equations (Schaum's Solved Problems Series) by Mcgraw-Hill $19.95
Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics) by Cambridge University Press $44.99
In addition to being mathematically elegant, complex variables provide a powerful tool for solving problems that are either very difficult or virtually impossible to solve in any other way. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, numerical...