Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and...

This book models  an idealized neuron as being driven by basic electrical elements, the goal being to systematically characterize the logical properties of neural pulses.  In order to constitute a system, neurons as pulsating devices may be represented using novel circuit elements as delineated in this book.  A plausible brain...

Supervised sequence labelling is a vital area of machine learning, encompassing tasks such as speech, handwriting and gesture recognition, protein secondary structure prediction and part-of-speech tagging. Recurrent neural networks are powerful sequence learning tools—robust to input noise and distortion, able to exploit long-range...

• Stretch the limits of machine learning by learning how graphical models provide an insight on particular problems, especially in high dimension areas such as image...

This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and...

The world’s love of the iPhone only continues to grow by leaps and bounds. Darren Murph, managing editor of Engadget and a Guinness World Record holder as the most prolific blogger, explores every amazing capability of the iPhone and...