This book introduces students to the art and craft of writing proofs, beginning with the basics of writing proofs and logic, and continuing on with more in-depth issues and examples of creating proofs in different parts of mathematics, as well as introducing proofs-of-correctness for algorithms. The creation of proofs is covered for theorems in both discrete and continuous mathematics, and in difficulty ranging from elementary to beginning graduate level.Just beyond the standard introductory courses on calculus, theorems and proofs become central to mathematics. Students often find this emphasis difficult and new. This book is a guide to understanding and creating proofs. It explains the standard “moves” in mathematical proofs: direct computation, expanding definitions, proof by contradiction, proof by induction, as well as choosing notation and strategies.
The core of scientific computing is designing, writing, testing, debugging and modifying numerical software for application to a vast range of areas: from graphics, meteorology and chemistry to engineering, biology and finance. Scientists, engineers and computer scientists need to write good code, for speed, clarity, flexibility and ease of re-use. Oliveira and Stewart's style guide for numerical software points out good practices to follow, and pitfalls to avoid. By following their advice, readers will learn how to write efficient software, and how to test it for bugs, accuracy and performance. Techniques are explained with a variety of programming languages, and illustrated with two extensive design examples, one in Fortran 90 and one in C++: other examples in C, C++, Fortran 90 and Java are scattered throughout the book. This manual of scientific computing style will be an essential addition to the bookshelf and lab of everyone who writes numerical software.
As the globalized regime of neoliberal capitalism consolidates its grip on the world, it refines the micropolitics proper to the capitalist system and makes it more perverse. This micropolitics involves the appropriation – what Suely Rolnik calls the “pimping” – of life, as it turns the life drive itself away from creation and cooperation and towards the deadening, destructive practice necessary for capital accumulation. This dynamic is the engine of what Rolnik calls the colonial-capitalistic unconscious regime. She also identifies the conditions necessary to fight against this regime – namely, a reappropriation of the life drive, the energetic basis at the heart of all life forms, human life included, and the principal source of extraction for capitalism. Drawing on examples from across the Americas, including Brazil and the United States, Rolnik examines the circumstances that have given rise to regressive, reactionary governments throughout the world. These circumstances include, at the macro level, an alliance between neoliberalism and extreme conservatism and, at the micro level, a crisis of the hegemonic subject in the face of the emergent empowerment of marginalized communities that practice other modes of subjectivation. This crucial book by one of the most prominent intellectuals in Latin America today will be of great value to anyone interested in contemporary politics and social struggles.
The core of scientific computing is designing, writing, testing, debugging and modifying numerical software for application to a vast range of areas: from graphics, meteorology and chemistry to engineering, biology and finance. Scientists, engineers and computer scientists need to write good code, for speed, clarity, flexibility and ease of re-use. Oliveira and Stewart's style guide for numerical software points out good practices to follow, and pitfalls to avoid. By following their advice, readers will learn how to write efficient software, and how to test it for bugs, accuracy and performance. Techniques are explained with a variety of programming languages, and illustrated with two extensive design examples, one in Fortran 90 and one in C++: other examples in C, C++, Fortran 90 and Java are scattered throughout the book. This manual of scientific computing style will be an essential addition to the bookshelf and lab of everyone who writes numerical software.
This manual of scientific computing style will prove to be an essential addition to the bookshelf and lab of everyone who writes numerical software. Scientists, engineers and computer scientists who follow its advice will learn how to write good software, and how to test it for bugs, accuracy and performance.
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