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Encyclopedias The Subtle Body: An Encyclopedia of Your Energetic Anatomy
Nonfiction Advanced Fluid Dynamics by Hyoung Woo Oh
Nonfiction Consolation of Philosophy by Boethius
Nonfiction Overview of Bohmian Mechanics
Nonfiction Digital Systems Design by Ramaswamy Palaniappan
Nonfiction Modern Geography by Marion I. Newbigin
Encyclopedias Encyclopedia of Microfluidics and Nanofluidics [Repost]
Encyclopedias Encyclopedia of Complexity and Systems Science [Repost]
Encyclopedias The Encyclopedia of Applied Animal Behaviour and Welfare
Encyclopedias Space - A Visual Encyclopedia
Abnormal Psychology - An Integrative Approach, 6th Edition
Advanced Social Psychology - The State of the Science
Nonfiction Lectures on Stochastic Control and Nonlinear Filtering
Nonfiction Physics by Cope, Smith, Tower, Turton
Encyclopedias Encyclopedia of Knowledge Management, Second Edition
Encyclopedias Encyclopedia of India (4 Volume Set) [Repost]
Encyclopedias The MMA Encyclopedia (repost)
Nonfiction An Introduction to Nonlinearity in Control Systems
Encyclopedias Skew Fields - Theory of General Division Rings (Encyclopedia of Mathematics and its Applications) by P. M. Cohn
Encyclopedias Books and Beyond - The Greenwood Encyclopedia of New American Reading
Nonfiction Advanced Fluid Dynamics by Hyoung Woo Oh
Nonfiction Consolation of Philosophy by Boethius
Nonfiction Overview of Bohmian Mechanics
Nonfiction Digital Systems Design by Ramaswamy Palaniappan
Nonfiction Modern Geography by Marion I. Newbigin
Encyclopedias Encyclopedia of Microfluidics and Nanofluidics [Repost]
Encyclopedias Encyclopedia of Complexity and Systems Science [Repost]
Encyclopedias The Encyclopedia of Applied Animal Behaviour and Welfare
Encyclopedias Space - A Visual Encyclopedia
Abnormal Psychology - An Integrative Approach, 6th Edition
Advanced Social Psychology - The State of the Science
Nonfiction Lectures on Stochastic Control and Nonlinear Filtering
Nonfiction Physics by Cope, Smith, Tower, Turton
Encyclopedias Encyclopedia of Knowledge Management, Second Edition
Encyclopedias Encyclopedia of India (4 Volume Set) [Repost]
Encyclopedias The MMA Encyclopedia (repost)
Nonfiction An Introduction to Nonlinearity in Control Systems
Encyclopedias Skew Fields - Theory of General Division Rings (Encyclopedia of Mathematics and its Applications) by P. M. Cohn
Encyclopedias Books and Beyond - The Greenwood Encyclopedia of New American Reading
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Nonfiction Algorithmic Mathematics
Posted on 2010-04-05
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This text contains sufficient material for a one-semester course in mathematical algorithms, for second year mathematics students. The course requires some exposure to the basic concepts of discrete mathematics, but no computing experience. The aim of this course is twofold. Firstly, to introduce the basic algorithms for computing exactly with integers, polynomials and vector spaces. In doing so, the student is expected to learn how to think algorithmically and how to design and analyze algorithms. Secondly, to provide a constructive approach to abstract mathematics, algebra in particular. When introducing the elements of ring and field theory, algorithms offer concrete tools, constructive proofs, and a crisp environment where the benefits of rigour and abstraction become tangible. We shall write algorithms in a straightforward language, which incorporates freely standard mathematical notation. The specialized constructs are limited to the if-structure and the while-loop, which are universal.
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