Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, ......
The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. Building bridges between these two subject areas is fruitful in two ways. Through tropical geometry optimization algorithms become applicable to questions in algebraic geometry. Conversely, looking at topics in optimization ......
The vibrant recreational mathematics culture of Japan presents puzzles that are often quite different from the classics of western literature. This book is the first collection of original puzzles by Tadao Kitazawa, a prominent Japanese puzzle-maker. These puzzles, which feature arithmetic, geometry, and combinatorics, are novel, creative, and ......
This text introduces students to the theory and practice of differential equations, which are fundamental to the mathematical formulation of problems in physics, chemistry, biology, economics, and other sciences. The book is ideally suited for undergraduate or beginning graduate students in mathematics, and will also be useful for students in the ......
An Introduction to the Theory of Analytic Functions of One Complex Variable
This book is a reprint of the third edition of the classic book on complex analysis. It is a rigorous introduction on an elementary level to the theory of analytic functions of one complex variable and is intended to be used by first year graduate students and advanced undergraduate students. The book covers standard topics in an introductory ......
This two-volume set offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. Mathematics for Social Justice: Resources for the College Classroom begins with a series of essays from instructors experienced in integrating social justice themes into their pedagogy; these ......
This new edition, now in two parts, has been significantly reorganized and many sections have been rewritten. This first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in the first course are classical formulas for solutions of cubic and quartic equations, classical ......
Chiral algebras form the primary algebraic structure of modern conformal field theory. Each chiral algebra lives on an algebraic curve, and in the special case where this curve is the affine line, chiral algebras invariant under translations are the same as well-known and widely used vertex algebras. The exposition of this book covers the ......
The Mathematical Surveys and Monographs series of the AMS feature some of the Society's most distinguished titles. This book presents new and original material; a well-known author; many exercises with solutions; offers some surprising new mathematical applications to economics.
