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An Introductory Course on Differentiable Manifolds
Rigorous course for advanced undergraduates and graduate students requires a strong background in undergraduate mathematics. Complete, detailed treatment, enhanced with philosophical and historical asides and more than 200 exercises. 2016 edition.
The Internet of Elsewhere
Through the lens of culture, The Internet of Elsewhere looks at the role of the Internet as a catalyst in transforming communications, politics, and economics. Cyrus Farivar explores the Internet's history and effects in four distinct and, to some, surprising societies—Iran, Estonia, South Korea, and Senegal. He profiles Web pioneers in these countries and, at the same time, surveys the environments in which they each work. After all, contends Farivar, despite California's great success in creating the Internet and spawning companies like Apple and Google, in some areas the United States is still years behind other nations. Surprised? You won't be for long as Farivar proves there are reaso...
Theory and Formal Methods 1993
This volume contains the proceedings of the fIrst workshop held by the Theory and Formal Methods Section ofthe Imperial College Department of Computing. It contains papers from almost every member of the Section, from our long-term academic visitors, and from those who have recently left us. The papers fall into four broad areas: • semantics • concurrency • logic • specification with some papers spanning a number of disciplines. The subject material varies from work on mathematical foundations to practical applications of this theory, expressing the Section's commitment to both the foundations of computer science, and the application of theory to real computing problems. In preparing...
An Interactive Introduction to Knot Theory
Well-written and engaging, this hands-on approach features many exercises to be completed by readers. Topics include knot definition and equivalence, combinatorial and algebraic invariants, unknotting operations, and virtual knots. 2016 edition.
Mathematics, Logic, and their Philosophies
This volume is a collection of essays in honour of Professor Mohammad Ardeshir. It examines topics which, in one way or another, are connected to the various aspects of his multidisciplinary research interests. Based on this criterion, the book is divided into three general categories. The first category includes papers on non-classical logics, including intuitionistic logic, constructive logic, basic logic, and substructural logic. The second category is made up of papers discussing issues in the contemporary philosophy of mathematics and logic. The third category contains papers on Avicenna’s logic and philosophy. Mohammad Ardeshir is a full professor of mathematical logic at the Departm...
Contemporary Iran
Iran is a key player in some of the most crucial issues of our time. But because of its relative diplomatic isolation and the partisan nature of conflicting accounts voiced by different interest groups both inside and outside the country, there is a shortage of hard information about the scale and depth of social change in today's Iran. In this volume, and imposing roster of both internationally renowned Iranian scholars and rising young Iranian academics offer contributions--many based on recent fieldwork--on the nature and evolution of Iran's economy, significant aspects of Iran's changing society, and the dynamics of its domestic and international politics since the 1979 revolution, focusing particularly on the post-Khomeini period. The book will be of great interest not only to Iran specialists, but also to scholars of comparative politics, democratization, social change, politics in the Muslim world, and Middle Eastern studies.
Calculus: A Rigorous First Course
Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.
The Induction Book
Every mathematician and student of mathematics needs a familiarity with mathematical induction. This volume provides advanced undergraduates and graduate students with an introduction and a thorough exposure to these proof techniques. 2017 edition.
Algebra: Polynomials, Galois Theory and Applications
Suitable for advanced undergraduates and graduate students in mathematics and computer science, this precise, self-contained treatment of Galois theory features detailed proofs and complete solutions to exercises. Originally published in French as Algèbre — Polynômes, théorie de Galois et applications informatiques, this 2017 Dover Aurora edition marks the volume's first English-language publication. The three-part treatment begins by providing the essential introduction to Galois theory. The second part is devoted to the algebraic, normal, and separable Galois extensions that constitute the center of the theory and examines abelian, cyclic, cyclotomic, and radical extensions. This sect...
From Strange Simplicity to Complex Familiarity
This book presents a vivid argument for the almost lost idea of a unity of all natural sciences. It starts with the "strange" physics of matter, including particle physics, atomic physics and quantum mechanics, cosmology, relativity and their consequences (Chapter I), and it continues by describing the properties of material systems that are best understood by statistical and phase-space concepts (Chapter II). These lead to entropy and to the classical picture of quantitative information, initially devoid of value and meaning (Chapter III). Finally, "information space" and dynamics within it are introduced as a basis for semantics (Chapter IV), leading to an exploration of life and thought as new problems in physics (Chapter V). Dynamic equations - again of a strange (but very general) nature - bring about the complex familiarity of the world we live in. Surprising new results in the life sciences open our eyes to the richness of physical thought, and they show us what can and what cannot be explained by a Darwinian approach. The abstract physical approach is applicable to the origins of life, of meaningful information and even of our universe.
