Which Springer-Verlag Graduate Textbook in Mathematics are you?

[pboily]

http://www.math.mcgill.ca/~dsavitt/GTM.html

Of course, this is only going to be funny for mathematicians...

"You are Frank Warner's Foundations of Differentiable Manifolds and Lie Groups.

You give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. You include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find you extremely useful. "

 

[nonconformist]

"You are Saunders Mac Lane's Categories for the Working Mathematician.
You provide an array of general ideas useful in a wide variety of fields. Starting from foundations, you illuminate the concepts of category, functor, natural transformation, and duality. You then turn to adjoint functors, which provide a description of universal constructions, an analysis of the representation of functors by sets of morphisms, and a means of manipulating direct and inverse limits."

I study maths myself, and I'm a complete nerd, but this si so nerdish it send my nerd-gauge off the deep end of "If Nerdism was a comedian, it would be Carrto-Top".

 

[Till]

"You are W.B.R. Lickorish's An Introduction to Knot Theory.

You are an introduction to mathematical Knot Theory; the theory of knots and links of simple closed curves in three-dimensional space. You consist of a selection of topics which graduate students have found to be a successful introduction to the field. Three distinct techniques are employed; Geometric Topology Manoeuvres, Combinatorics, and Algebraic Topology. "

Well i wouldn't mind to teach graduate students how to knot their shoes if they'd explain wavelet transformations to me in return.

 

[Perfection]

I'm something I don't understand.

 

[WillJ]

I tried to translate mine online but apparently it's already in English.

 

[Maniacal]

<table><tr>
<td><img src="http://www.math.mcgill.ca/~dsavitt/GTM/serrelrfg.jpg" width=92 height=140 alt=""></td><td>

<p>If I were a Springer-Verlag Graduate Text in Mathematics, I would be J.-P. Serre's <b><i>Linear Representations of Finite Groups</i></b>.</p>

<p> My creator is a Professor at the College de France. He has previously published a number of books, including Groupes Algebriques et Corps de Classes, Corps Locaux, and Cours d'Arithmetique (A Course in Arithmetic, published by Springer-Verlag as Vol. 7 in the Graduate Texts in Mathematics). </p>

<p>Which Springer GTM would <i>you</i> be? <a

 

[Truronian]

You are Joseph H. Silverman's The Arithmetic of Elliptic Curves.

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. You treat the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. You begin with a brief discussion of the necessary algebro-geometric results, and proceed with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Your last two chapters deal with integral and rational points, including Siegel's theorem and explicit computations for the curve Y^2 = X^3 + DX.

You contain three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics.

 

[Mise]

"You are Frank Warner's Foundations of Differentiable Manifolds and Lie Groups.

You give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. You include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find you extremely useful."

 

[Dr. Yoshi]

You are William Fulton and Joe Harris's Representation Theory: A First Course.

Your primary goal is to introduce the beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, your concentration is on examples. The general theory is developed sparingly, and then mainly as a useful and unifying language to describe phenomena already encountered in concrete cases. You begin with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie groups; in particular, the symmetric groups are treated in some detail. Your focus then turns to Lie groups and Lie algebras and finally to your heart: working out the finite dimensional representations of the classical groups and exploring the related geometry. The goal of your last portion is to make a bridge between the example-oriented approach of the earlier parts and the general theory.

 

[Taliesin]

Good to see our math department making wise use of time there...

 

[ybbor]

Algebraic Geometry: A First Course

You are Joe Harris's Algebraic Geometry: A First Course. You are intended to introduce students to algebraic geometry; to give them a sense of the basic objects considered, the questions asked about them, and the sort of answers one can expect to obtain. You thus emphasize the classical roots of the subject. For readers interested in simply seeing what the subject is about, you avoid the more technical details better treated with the most recent methods. For readers interested in pursuing the subject further, you will provide a basis for understanding the developments of the last half century, which have put the subject on a radically new footing. Based on lectures given at Brown and Harvard Universities, you retain the informal style of the lectures and stress examples throughout; the theory is developed as needed. Your first part is concerned with introducing basic varieties and constructions; you describe, for example, affine and projective varieties, regular and rational maps, and particular classes of varieties such as determinantal varieties and algebraic groups. Your second part discusses attributes of varieties, including dimension, smoothness, tangent spaces and cones, degree, and parameter and moduli spaces

but the funniest (emphasis mine):
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[pboily]

I guess if I was Algebraic Geometry: A First Course, I would also not find this very funny.