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Helps in the understanding of continuous and differentiable functions. This book emphasises on real functions of a single variable. It contains topics...Savoir plus
Examines the theory and practice of integer factorisation from an historic perspective. It describes about twenty algorithms for factoring and a dozen...Savoir plus
Describes billiards and their relation with differential geometry, classical mechanics, and geometrical optics. This book covers such topics as variat...Savoir plus
Elementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of ...Savoir plus
The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it...Savoir plus
Provides a student's first encounter with the concepts of measure theory and functional analysis. This book reflects the belief that difficult concept...Savoir plus
Algebraic Geometry has been at the centre of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble begi...Savoir plus
Presents an introduction to algebraic geometry. This work focuses on the interplay between abstract theory and specific examples. It contains problems...Savoir plus
Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In thi...Savoir plus
Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It is concrete and ex...Savoir plus
Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invented by Robin Forman in the mid 1990s, discrete Morse...Savoir plus
Offers an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which p...Savoir plus
Offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and ri...Savoir plus
Provides a bridge between an undergraduate course in Real Analysis and a first graduate-level course in Measure Theory and Integration. The main goal ...Savoir plus
Presents a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. This work introduces the notions of...Savoir plus
Presents a conceptual introduction to the theory of ordinary differential equations, focusing on the initial value problem for equations of evolution ...Savoir plus
The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements...Savoir plus
Based on the lectures for undergraduates at Moscow State University, this book offers an introduction to the central facts and basic notions of the ge...Savoir plus
Offers an introduction to the theory of frames in a Hilbert space. This book teaches linear algebra, using frames as an application of the theoretical...Savoir plus
Learning about cryptography requires examining fundamental issues about information security. This book offers a description of the main notions of mo...Savoir plus
Offers an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the ...Savoir plus
Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In thi...Savoir plus
The calculus of variations is a beautiful subject with a rich history and with origins in the minimization problems of calculus. This book addresses t...Savoir plus
Both fractal geometry and dynamical systems have a long history of development and have provided fertile ground for many great mathematicians and much...Savoir plus