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Mathematics (Latest 20 Books)
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An Introduction to Linear Programming and the Simplex Algorithm
This text is intended to function as an introduction to Linear Programming (LP) and the Simplex algorithm.
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A Course in Universal Algebra
This text is not intended to be encyclopedic; rather, a few themes central to universal algebra have been developed sufficiently to bring the reader to the brink of current research. The choice of topics most certainly reflects the authors' interests.
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Probability Theory
Contents: Measure Theory; Weak Convergence; Independent Sums; Dependent Random Variables; Martingales; Stationary Stochastic Processes; Dynamic Programming and Filtering.
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A Problem Course in Mathematical Logic
This is a text for a problem-oriented course on mathematical logic and computability.
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Logic For Computer Science - Foundations of Automatic Theorem Proving
An introduction to mathematical logic, with an emphasis on proof theory and procedures for constructing formal proofs of formulae algorithmically.
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Practical Foundations of Mathematics
The book is an account of the foundations of mathematics (algebra) and theoretical computer science, from a modern constructive viewpoint. It collects the methods of construction of the objects of twentieth century mathematics.
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Notes on Differential Equations
Introductory notes on ordinary and partial differential equations. Assumed background is calculus and a little physics.
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Rethinking Public Key Infrastructures and Digital Certificates
This book proposes highly practical cryptographic building blocks that can be used to design privacy-protecting electronic communication and transaction systems.
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Methods of Cryptanalysis: Lecture Notes
Shows a broad range of cryptanalytic techniques starting from attacks on classical substitution ciphers and up to the state of the art modern attacks.
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Handbook of Applied Cryptography
This book is intended as a reference for professional cryptographers, presenting the techniques and algorithms of greatest interest to the current practitioner, along with the supporting motivation and background material.
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Introduction to Modern Cryptography
This document focuses on modern cryptography as a science. Includes topics on block ciphers, pseudorandom, symmetric and asymmetric encryption, hash, authentication and digital signatures.
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The Foundations of Cryptography
Presents a rigorous and systematic treatment of the foundational issues: defining cryptographic tasks and solving new cryptographic problems using existing tools. Focuses on computational difficulty, pseudorandomness and zero-knowledge proofs.
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Introduction to Probability, 2nd Rev edition
This text is designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science.It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.The text can also be used in a discrete probability course. The material has been organized in such a way that the discrete and continuous probability discussions are presented in a separate, but parallel, manner.
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Calculus by Gilbert Strang
It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.
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Multivariable Calculus
This is a textbook for a course in multivariable calculus. It has been used for the past few years here at Georgia Tech. The notes are available as Adobe Acrobat documents.
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Applied Abstract Algebra
Introduces a wide range of abstract algebra with relevant and interesting applications, from error-correcting codes to cryptography to the group theory of Rubik's cube. Also covers topics such as the Euclidean algorithm, encryption, and permutations.
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Foundations of Combinatorics with Applications
Intended as an introduction to the mathematical foundations of the interaction between computer science and mathematics as a major impetus for theoretical developments and applications of combinatorics.
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Linear Algebra
Helps students to master the material of a standard undergraduate linear algebra course. The material is standard in that the topics covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors.
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A First Course in Linear Algebra
An introductory textbook of linear algebra. Teaches the fundamental concepts and techniques of matrix algebra and abstract vector spaces.
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