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Mathematics of the Rubik's cube
These notes cover enough group theory and graph theory to understand the mathematical description of the Rubik's cube and several other related puzzles.
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7856 |
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Multivariable Calculus, Applications and Theory
Starts with the necessary linear algebra and then uses it as a framework upon which to build multivariable calculus. Many applications are presented, some of these are very difficult but worthwhile. Hard sections are starred in the table of contents.
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6963 |
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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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5796 |
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Notes on Optimization
Presents in a compact and unified manner, the main concepts and techniques of mathematical programming and optimal control to students having diverse technical backgrounds.
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4948 |
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One Variable Advanced Calculus
A treatment for a subject which places calculus as part of mathematics and involves proofs and definitions, not algorithms and busy work. It is assumed the reader is familiar enough with elementary functions.
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554 |
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Ordinary Differential Equations And Dynamical Systems
Gives a self contained introduction to the field of ordinary differential equations with emphasis on the dynamical systems point of view. Requires some basic knowledge from calculus, complex functions, and linear algebra.
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3199 |
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Strange Attractors: Creating Patterns in Chaos
Describes a simple method for generating an endless succession of beautiful fractal patterns by iterating simple maps and ordinary differential equations with coefficients chosen automatically by the computer. Contains over 350 examples of such patterns.
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4407 |
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The Boundary Element Method in Acoustics
Serves as an introduction to the Boundary Element Method and its application to acoustic problems and goes on to complete the development of computational models.
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5570 |
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The Chaos Hypertextbook - Mathematics in the Age of the Computer
This book presents a basic introduction to chaos, fractals, non-linear dynamics, and the related topic of dimension.
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10460 |
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The Free Speech Calculus Text
Provides both insight into the essential problems of Calculus (and the related field of mathematical analysis) and a rigorous proof of all of the standard material in a Calculus class.
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6295 |
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Trigonometric Delights
This book puts the history back into trigonometry and shows that what is often regarded as a collection of dry techniques is really a testament to thousands of years of human ingenuity and intellectual creativity.
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6521 |
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Unsolved Problems in Mathematical Systems and Control Theory
Contains a collection of 63 open problems in mathematical systems and control theory. Each of the problems is proposed by a leading expert and set forth in an accessible manner.
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9985 |
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What Every Computer Scientist Should Know About Floating-Point Arithmetic
This document presents a tutorial on those aspects of floating point (data types, accelerators, algorithms and exceptions) that have a direct impact on designers of computer systems.
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5998 |
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Yet Another Calculus Text - A Short Introduction with Infinitesimals
An introduction to calculus based on the hyperreal number system. Requires some acquaintance with the basic notions of calculus.
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1351 |
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