All Mathematic Titles

An Introduction to Manifolds 2nd Edition
An Introduction to Manifolds presents the theory of manifolds with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book, the reader will have the ability to compute one of the most basic topological invariants of a manifold, its de Rham cohomology. 
An Introduction to Markov Processes 2nd Edition
This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. Topics covered include: Doeblin's theory, general ergodic properties, and continuous time processes.

An Introduction to Mathematical Cryptography
This selfcontained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics. It includes exercises and examples at the end of each section. 
An Introduction to Programming and Numerical Methods in MATLAB

An Introduction to Riemannian Geometry
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.The first part is a concise and selfcontained introd ... 
An Introduction to Tensors and Group Theory for Physicists
This textbook offers an intuitive and rigorous approach to tensors and their role in theoretical physics and applied mathematics. It demystifies tensors and provides a unified framework for understanding them in the context of classical and quantum physics.

An Introduction to the Langlands Program
Joseph Bernstein, S.S. Kudla, E. Kowalski, Steve Gelbart, E. de Shalit, D. Gaitsgory, J.W. Cogdell, D. Bump
For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including c ... 
Analysis of Finite Difference Schemes
This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Fi ...

Applications of Algebra to Communications, Control, and Signal Processing

Automated Solution of Differential Equations by the Finite Element Method
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation span ...

Basic Algebraic Geometry 1 2nd Edition
The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject. The author was no ... 
Basic Algebraic Geometry 2 3rd Edition
Basic Algebraic Geometry II is a revised edition of Shafarevich's wellknown introductory book on algebraic varieties and complex manifolds. It can be read independently of Volume I and is suitable for graduate students in mathematics and theoretical physics.