Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. This new fifth edition has become more than a textbook for the basic linear algebra course. That is its first purpose and always will be. The new chapters about applications of the SVD, probability and statistics, and... more...

In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems. These abstract mathematical... more...

Further Mathematics for the Physical Sciences Further Mathematicsfor the Physical Sciences aims to build upon the reader's knowledgeof basic mathematical methods, through a gradual progression tomore advanced methods and techniques. Carefully structured as aseries of self-paced and self-contained chapters, this text coversthe essential and most important techniques needed by physicalscience students. Starting with complex numbers, the text thenmoves on... more...

This book covers the basics of modern probability theory. It begins with probability theory on finite and countable sample spaces and then passes from there to a concise course on measure theory, which is followed by some initial applications to probability theory, including independence and conditional expectations. The second half of the book deals with Gaussian random variables, with Markov chains, with a few continuous parameter processes,... more...

Acclaimed authors Edwards and Penney combine core topics in elementary differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra. Known for its real-world applications and its blend of algebraic and geometric approaches, this book discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative... more...

Whether it’s an unforeseen financial crash, a shock election result, or an expected barbecue season that sees record rainfall, forecasts have impacts on us all. Forewarned is a consumer’s guide to prediction, based on the very latest scientific research. By the end of the book you’ll be better placed to make informed decisions in a volatile world. You’ll know when forecasts can be a reliable guide to the vicissitudes and uncertainties of the... more...

Learn how to add, subtract, multiply, divide and find square roots with this easy to use instruction guide. There are many sample problems with step-by-step instructions. The illustrations make it easy to follow along with the descriptions. Practice and perfect skills as you learn with the numerous practice problems given at the end of each chapter.

This book, the first in a two-volume set, provides an introduction to the fundamentals of (mainly) non-relativistic quantum mechanics. This first volume chiefly focuses on the essential principles, while applications and extensions of the formalism can be found in volume 2. Including but also moving beyond material that is covered in traditional textbooks on quantum mechanics, the book discusses in detail current issues such as... more...

An accessible primer on how to create effective graphics from data This book provides students and researchers a hands-on introduction to the principles and practice of data visualization. It explains what makes some graphs succeed while others fail, how to make high-quality figures from data using powerful and reproducible methods, and how to think about data visualization in an honest and effective way. Data Visualization... more...

The Beauty of Mathematics in Computer Science explains the mathematical fundamentals of information technology products and services we use every day, from Google Web Search to GPS Navigation, and from speech recognition to CDMA mobile services. The book was published in Chinese in 2011 and has sold more than 600,000 copies. Readers were surprised to find that many daily-used IT technologies were so tightly tied to mathematical... more...