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Ian Nicholas Stewart FRS is an Emeritus Professor of Mathematics at the University of Warwick, England, and a widely known popular-science and science-fiction writer.
Complex Analysis: Edition 2
This new edition of a classic textbook develops complex analysis from the established theory of real analysis by emphasising the differences that arise as a result of the richer geometry of the complex plane. Key features of the authors' approach are to use simple topological ideas to translate visual intuition to rigorous proof, and, in this edition, to address the conceptual conflicts between pure and applied approaches head-on. Beyond the material of the clarified and corrected original edition, there are three new chapters: Chapter 15, on infinitesimals in real and complex analysis; Chapter 16, on homology versions of Cauchy's theorem and Cauchy's residue theorem, linking back to geometric intuition; and Chapter 17, outlines some more advanced directions in which complex analysis has developed, and continues to evolve into the future. With numerous worked examples and exercises, clear and direct proofs, and a view to the future of the subject, this is an invaluable companion for any modern complex analysis course.
The Science of Discworld: A Novel
Not just another science book and not just another Discworld novella, The Science of Discworld is a creative, mind-bending mash-up of fiction and fact, that offers a wizard’s-eye view of our world that will forever change how you look at the universe.
Can Unseen University’s eccentric wizards and orangutan Librarian possibly shed any useful light on hard, rational Earthly science?
In the course of an exciting experiment, the wizards of Discworld have accidentally created a new universe. Within this universe is a planet that they name Roundworld. Roundworld is, of course, Earth, and the universe is our own. As the wizards watch their creation grow, Terry Pratchett and acclaimed science writers Ian Stewart and Jack Cohen use Discworld to examine science from the outside. Interwoven with the Pratchett’s original story are entertaining, enlightening chapters which explain key scientific principles such as the Big Bang theory and the evolution of life on earth, as well as great moments in the history of science.
Letters to a Young Mathematician
Mathematician Ian Stewart tells readers what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical-what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.
Visions of Infinity: The Great Mathematical Problems
Acclaimed writer and mathematician Ian Stewart investigates history's most important and elusive math problems
For every problem mathematicians solve, another awaits to perplex and galvanize them. Such challenges offer a tantalizing glimpse of the field's unlimited potential and keep mathematicians looking toward the horizons of intellectual possibility.
In Visions of Infinity, Ian Stewart explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. Stewart describes solved problems as well as those like the P/NP problem, which could easily remain unproved for another hundred years.
An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, Visions of Infinity reveals how mathematics the world over have risen to meet the challenges set by their predecessors-and how the enigmas of the past inevitably surrender to the powerful techniques of the present.
Catastrophe Theory and Its Applications
First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text designed for researchers and postgraduate students in engineering, mathematics, physics and biology. 1978 edition. Bibliography.
The Globe: The Science of Discworld II: A Novel
Roundworld, aka Earth, is under siege. Are three wizards and an orangutan Librarian enough to thwart the Elvish threat?
When the wizards of Unseen University first created Roundworld, they were so concerned with discovering the rules of this new universe that they overlooked its inhabitants entirely. Now, they have noticed humanity. And humanity has company. Arriving in Roundworld, the wizards find the situation is even worse than they’d expected. Under the elves’ influence, humans are superstitious, fearful, and fruitlessly trying to work magic in a world ruled by logic. Ridcully, Rincewind, Ponder Stibbons, and the orangutan Librarian must travel through time to get humanity back on track and out of the dark ages.
The Globe goes beyond science to explore the development of the human mind. Terry Pratchett and his acclaimed co-authors Ian Stewart and Jack Cohen combine the tale of the wizards rewriting human history with discussions of the origins and evolution of culture, language, art, and science, offering a fascinating and brilliantly original view of the world we live in.
In Pursuit of the Unknown: 17 Equations That Changed the World
The seventeen equations that form the basis for life as we know it
Most people are familiar with history's great equations: Newton's Law of Gravity, for instance, or Einstein's theory of relativity. But the way these mathematical breakthroughs have contributed to human progress is seldom appreciated. In In Pursuit of the Unknown, celebrated mathematician Ian Stewart untangles the roots of our most important mathematical statements to show that equations have long been a driving force behind nearly every aspect of our lives.
Using seventeen of our most crucial equations--including the Wave Equation that allowed engineers to measure a building's response to earthquakes, saving countless lives, and the Black-Scholes model, used by bankers to track the price of financial derivatives over time--Stewart illustrates that many of the advances we now take for granted were made possible by mathematical discoveries.
An approachable, lively, and informative guide to the mathematical building blocks of modern life, In Pursuit of the Unknown is a penetrating exploration of how we have also used equations to make sense of, and in turn influence, our world.
Darwin's Watch: The Science of Discworld III: A Novel
When Charles Darwin writes the wrong book and reverses the progress of science, Unseen University’s wizards must once again save Roundworld (Earth, that is) from an apocalyptic end.
Ever since a wizardly experiment inadvertently brought about the creation of Roundworld, the wizard scholars of Unseen University have done their best to put things on the right course. In Darwin's Watch they may face their greatest challenge yet: A man called Darwin has written a bestselling book called The Theology of the Species, and his theory of scientific design has been witlessly embraced by Victorian society. As a result, scientific progress has slowed to a crawl, and the wizards must find a way to change history back to the way it should have been.
DARWIN'S WATCH EXPLORES THE REVERBERATIONS of major scientific advances on our planet and our culture, the dangers of obscurantism, and the theory of evolution as you have never seen it before. This brilliant addition to Pratchett's beloved Discworld series illustrates with great wit and wisdom how the laws of our universe truly are stranger than fiction.
Concepts of Modern Mathematics
Some years ago, "new math" took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of "new math" have been eliminated and its positive elements assimilated into classroom instruction.
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math": groups, sets, subsets, topology, Boolean algebra, and more. According to Professor Stewart, an understanding of these concepts offers the best route to grasping the true nature of mathematics, in particular the power, beauty, and utility of pure mathematics. No advanced mathematical background is needed (a smattering of algebra, geometry, and trigonometry is helpful) to follow the author's lucid and thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, real analysis, probability, computers, applications of modern mathematics, and much more.
By the time readers have finished this book, they'll have a much clearer grasp of how modern mathematicians look at figures, functions, and formulas and how a firm grasp of the ideas underlying "new math" leads toward a genuine comprehension of the nature of mathematics itself.
Flatterland: Like Flatland Only More So
First there was Edwin A. Abbott's remarkable Flatland, published in 1884, and one of the all-time classics of popular mathematics. Now, from mathematician and accomplished science writer Ian Stewart, comes what Nature calls "a superb sequel." Through larger-than-life characters and an inspired story line, Flatterland explores our present understanding of the shape and origins of the universe, the nature of space, time, and matter, as well as modern geometries and their applications. The journey begins when our heroine, Victoria Line, comes upon her great-great-grandfather A. Square's diary, hidden in the attic. The writings help her to contact the Space Hopper, who tempts her away from her home and family in Flatland and becomes her guide and mentor through ten dimensions. In the tradition of Alice in Wonderland and The Phantom Toll Booth, this magnificent investigation into the nature of reality is destined to become a modern classic.
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