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Class Notes for Mathematics at Columbia University

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MATH V3386 Lecture 8: September 28-Induced Metrics and Manifolds
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Thursday, September 28, 2017 11:44 AM

Mathematics
MATH V3386
Richard Hamilton
MATH V3386 Lecture 10: October 5th-Review
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More Practice Problems Thursday, October 5, 2017 11:50 AM What is coveredon this exam: 1) Sets and Maps 2) Tangents and Derivatives 3) Vectors and Linear Maps 4) Metrics a. Find Metric b. Find...

Mathematics
MATH V3386
Richard Hamilton
MATH V3386 Lecture 9: October 3rd-Metrics Practice
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More problems on Metrics Tuesday, October 3, 20111:55 AM October 3rd Page 1 October 3rd

Mathematics
MATH V3386
Richard Hamilton
MATH V3386 Lecture 7: Sept-26-Another way of regarding the Metric
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Another way of regarding the Metric Tuesd

Mathematics
MATH V3386
Richard Hamilton
MATH V3386 Lecture 6: September 21--Further Metrics and Elliptic Integrals
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Further Metrics Thursday, September 21, 20111:53 AM

Mathematics
MATH V3386
Richard Hamilton
MATH V3386 Lecture Notes - Lecture 5: Vector Space
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Metric on a Vector Space V Tuesday,

Mathematics
MATH V3386
Richard Hamilton
MATH V3386 Lecture 4: September 14th--Tangents and Derivates
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Tangents and Derivatives Thursday, September 14, 20111:46 AM

Mathematics
MATH V3386
Richard Hamilton
MATH V3386 Lecture Notes - Lecture 3: Vector Space
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Vectors and Linearity Tuesday, September 12, 2017 11:41 AM A Vector is an object in a Vector Space. Axioms:V is a vector Space if: +: V x V--> V (u,v)--> u+v x: Reals x V--> V (c,v)--->...

Mathematics
MATH V3386
Richard Hamilton
MATH V3386 Lecture Notes - Lecture 1: Colatitude
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Introduction and Outline Tuesday, September 5, 2017 11:42 AM Differential Geometry--Gemometycomes from geos--> soil land or earth, metricein--> to rule So geometrymeans to rule the world, kinda The first deviation fr...

Mathematics
MATH V3386
Richard Hamilton
MATH V3386 Lecture Notes - Lecture 2: Surjective Function, If And Only If, Euclidean Space
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Sets and Maps Thursday, September 7, 2017 11:50 AM A Set is a collection of "Objects" A Euclidean Set is a sub set of a Euclidean Space An implicit representationof a set will tell you if a point lies in a set, but ...

Mathematics
MATH V3386
Richard Hamilton
MATH V3007 Lecture 20: Abel and Taubner Theorems
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Abels Theorem, Tauber Theorem and Inghams Tauberian Theorem Thursday, April 20, 2:45 PM Abel and Tauber Theoremsare related to power series April 20 Page 1

Mathematics
MATH V3007
Gallagher
MATH V3007 Lecture 19: April 17
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Differential Equation for p, c2 and c4 Tuesday, April 18, 20172:49 PM

Mathematics
MATH V3007
Gallagher
MATH V3007 Lecture 16: April 4: Jensen's Formula and Analytic functions without zeros
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Jensen's Theorem and Analytic functions without

Mathematics
MATH V3007
Gallagher
MATH V3007 Lecture 13: March 7
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SingularitiesTuesday, March 7, 20172:51 PM March 7 Page 1

Mathematics
MATH V3007
Gallagher
MATH V3007 Lecture Notes - Lecture 12: Ope
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Cauchy Identity TheoremThursday, March 2, 20172:39 PM March 2 Page 1 March 2 Page 2 March 2 Page 3

Mathematics
MATH V3007
Gallagher
Statistics - Reference Guides

This Guide provides an easy to follow summary of all basic principles that are the foundation to Statistics and Probabilities. Using a combination of charts and sample equations, the key concepts are developed and the esse...

Econometrics
ETC2430
All Professors
Calculus Derivatives - Reference Guides

This advanced Calculus Guide provides assistance to the user through its articulation of key Derivatives principles. Helpful tips to solve exponential and logarithmic functions are featured.

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Becquerel, Hyperbolic Function, International Standard Book Number

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CCalculus Integrals II INTEGRALS INVOLVING a+bu & p+qu ...

BAD - Business Administration
BAD 200
All Professors
College Mathematics - Reference Guides

This comprehensive Guide provides concrete reference materials in three math fundamentals – Algebra, Calculus, and Trigonometry. Helpful sample equations and rules are the backbone to this Guide

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Inflection Point, Inflection, Farad

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Differential Calculus Differential Calculus ...

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Iterated Integral, Centroid, Multiple Integral

permacht asrTM integral Calculus theorems types of iNtegrals averaGe value Theorem ...

BAD - Business Administration
BAD 200
All Professors
Laplace Transforms - Reference Guides

This useful Math Guide is a specific reference for techniques to convert ordinary differential equations to algebraic equations. Helpful charts and summaries are used to convey information such as exponential, square root,...

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Charge Pump, Diode, Electrolytic Capacitor

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CConductors & Semiconductors BASICS TERMS Conductor Valence and conduction bands for electr...

Electrical Engineering
4400:307
All Professors
Permachart - Marketing Reference Guide: Steradian, Luminous Intensity, Si Base Unit

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Metric System ...

Basic Engineering
BE 1101
All Professors
Intermediate Algebra - Reference Guides

This more advanced Guide builds upon the reference material set out in the Introductory Algebra Guide. Linear equations, polynomial equations and complex numbers are readily explained; clear and easy to follow emphasis is ...

MATH
MATH 504
All Professors
Introductory Algebra - Reference Guides

This Guide provides a concise and very readable summary of all key Algebraic principles. Special attention is directed to terminology, laws, and operations, with practical examples developed as illustration of these princi...

MATH
MATH 504
All Professors
Permachart - Marketing Reference Guide: Circumscribed Circle, Trapezoidal Rule, Quadrilateral

permacharts TM Geometry Geometry QUADRILATERALS CIRCLES & CONICS...

MATH
MATH 501
All Professors
Permachart - Marketing Reference Guide: Cubic Yard, Nautical Mile, Fluid Ounce

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Weights & Measures THE U.S./IMPERIAL SYSTEM OF MEASUREMENTS ...

Physics
PHYS 24300
All Professors
Vectors & Matrices - Reference Guides

Vectors are an important area of study that develops naturally from a basic understanding of physics and is subsets – statics, dynamics, and mechanics. This practical Guide provides assistance in an often complex disciplin...

Physics
PHYS 24300
All Professors
Permachart - Marketing Reference Guide: Luminous Flux, Magnetic Flux, Magnetic Flux Quantum

permacharts TM F u n d a m e n t a lP h y s ic a lC o n s t a n t s General Constants Quantity...

Physics
PHYS 24300
All Professors

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