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Many Variable Advanced Calculus
This book develops multivariable advanced calculus. It is directed to people who have a good understanding of the concepts of one variable calculus including the notions of limit of a sequence and completeness of R.
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3853 |
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Math Alive
Lecture notes designed for those who haven't had college mathematics but would like to understand some of the mathematical concepts behind important modern applications.
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5061 |
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Mathematical Analysis I
Covers the basic topics of undergraduate real analysis.
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20808 |
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Mathematical Analysis II
This final text in the Zakon Series on Mathematics Analysis completes the material on Real Analysis that is the foundation for later courses in functional analysis, harmonic analysis, probability theory, etc.
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2135 |
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Mathematical Tools for Physics
This book provides a one-semester bridge between some of the introductory math courses and the physics courses in which students expect to use the mathematics. The book emphasizes using math as tool, over proofs.
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3496 |
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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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11020 |
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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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9016 |
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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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7979 |
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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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6576 |
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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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2486 |
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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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5048 |
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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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5847 |
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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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7744 |
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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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11870 |
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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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8078 |
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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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8581 |
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Trigonometry
This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. The traditional topics are covered, but a more geometrical approach is taken than usual.
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5232 |
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Understanding Calculus
Understanding Calculus is a complete online introductory book that focuses on concepts. Integrated throughout the e-book are many engineering applications aimed at developing the student's scientific approach towards problem solving.
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7191 |
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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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11581 |
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Vector Calculus
This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus.
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7067 |
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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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7799 |
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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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3106 |
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