Mathematics of Discrete Structures for Computer Science

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This book examines the history and geography of science in nineteenth- and early-twentieth-century Britain and the British Empire. In considering the history and geography of the British Association f

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One of the twentieth century's great expositors of science offers insights into some of the more neglected aspects of mathematics, particularly among arithmetical notion and its elementary rules, root

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Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of info

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Originally published in 1940, this book was aimed at students of science who had not previously been acquainted with algebra and the core mathematical principles. 'It is quite wrong that science students, particularly biology students, should go to their universities without having been made aware of even the existence of a side of mathematics whose importance is becoming more and more apparent'. The book caters for students who wish to develop their mathematical and reasoning skills, necessary to progress in the sciences. Chapters are broad in scope, detailed and varied; chapter titles include, 'The theory of quadratic equations', 'Probability' and 'Statistics'. A multitude of examples are included throughout to reinforce learning and answers can be found at the back. Providing an overview of algebra for school students before entering undergraduate science, this book will be of significant value to anyone with an interest in mathematics and the history of education.

Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and also some work of Quine, Penelope Maddy and Roger Penrose. Part III deals with elementary, constructive areas of mathematics. These are areas of mathematics that are closer to their origins in simple cognitive activities and in everyday experience. This part of the book contains essays on intuitionism, Hermann Weyl, the notion of constructive proof, Poincaré and Frege.

Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and also some work of Quine, Penelope Maddy and Roger Penrose. Part III deals with elementary, constructive areas of mathematics. These are areas of mathematics that are closer to their origins in simple cognitive activities and in everyday experience. This part of the book contains essays on intuitionism, Hermann Weyl, the notion of constructive proof, Poincaré and Frege.

This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology