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Algebraic Geometry
Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of ex
Electricity and Magnetism for Mathematicians
Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.
All the Math You Missed
Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The explanations are accompanied by numerous examples, exercises and suggestions for further reading that allow the reader to test and develop their understanding of these core topics. Featuring four new chapters and many other improvements, this second edition of All the Math You Missed is an essential resource for advanced undergraduates and beginning graduate students who need to learn some serious mathematics quickly.
Computational Invariant Theory
This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups", provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.
Companion Animals in Human Health
Exactly how do animals affect the quality of life of their human companions? The 7th International Conference on Animals, Health, and Quality of Life set out to explore this question. A major result of this quest was Companion Animals in Human Health, a careful selection of jurored and invited papers from that conference. The articles in this volume address Human Animal Interaction (HAI) according to the elements that define quality of life: physical, mental, emotional, and social health; functional health; and general well-being. Beginning with an overview of human/animal interaction from historical and value perspectives, the authors develop a conceptual framework for HAI research and qual...
Lectures on the Philosophy of Mathematics
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Genius at Play
A multifaceted biography of a brilliant mathematician and iconoclast A mathematician unlike any other, John Horton Conway (1937–2020) possessed a rock star’s charisma, a polymath’s promiscuous curiosity, and a sly sense of humor. Conway found fame as a barefoot professor at Cambridge, where he discovered the Conway groups in mathematical symmetry and the aptly named surreal numbers. He also invented the cult classic Game of Life, a cellular automaton that demonstrates how simplicity generates complexity—and provides an analogy for mathematics and the entire universe. Moving to Princeton in 1987, Conway used ropes, dice, pennies, coat hangers, and the occasional Slinky to illustrate his winning imagination and share his nerdish delights. Genius at Play tells the story of this ambassador-at-large for the beauties and joys of mathematics, lays bare Conway’s personal and professional idiosyncrasies, and offers an intimate look into the mind of one of the twentieth century’s most endearing and original intellectuals.
Head Games
“[A] thriller that reads like a high-speed theme park ride . . . with dark humor so sharp it’ll make you bleed.” —Brian Freeman, New York Times–bestselling author Former Orlando detective Michael Garrity doesn’t have a good track record when it comes to women. With two ex-wives and a teenage daughter he rarely sees, the most significant relationship in his life right now is with the tumor in his head. Terminal cancer is no joke, but Mike is determined to make the best of it. He’s even named the tumor Bob. With Bob literally on his mind at all times, Mike needs a distraction. And he gets one when the most popular member of a platinum-selling boy band goes missing. Finding his da...
Geometry
At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the difference between important results and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises.
