Author: BoyesPublisher: Houghton Mifflin College Division
ISBN: 9780618647781
Category : Business & Economics
Languages : en
Pages :
Book Description
Macroeconomics, With Ssp, + Study Guide, 6th Ed + Eduspace 1
Author: BoyesPublisher: Houghton Mifflin College Division
ISBN: 9780618647781
Category : Business & Economics
Languages : en
Pages :
Book Description
Macroeconomics with Student Support Package Plus Study Guide 6th Edition
Author: BoyesPublisher:
ISBN: 9780618510672
Category : Business & Economics
Languages : en
Pages :
Book Description
Macroeconomics + Study Guide 7 Ed + Eduspace
Author: William BoyesPublisher:
ISBN: 9780547143354
Category :
Languages : en
Pages : 0
Book Description
Study Guide, Macroeconomics
Author: John LunnPublisher:
ISBN: 9780324148695
Category : Macroeconomics
Languages : en
Pages : 324
Book Description
Children's Books in Print, 2007
Author: Study Guide, Macroeconomics, 6th Ed
Author: James E. ClarkPublisher:
ISBN:
Category : Macroeconomics
Languages : en
Pages : 535
Book Description
Study Guide for Mankiw's Brief Principles of Macroeconomics
Author: N. Gregory MankiwPublisher: South Western Educational Publishing
ISBN: 9780538477062
Category : Macroeconomics
Languages : en
Pages : 0
Book Description
Study more effectively and improve your performance at exam time with this comprehensive guide. Written to work hand-in hand with BRIEF PRINCIPLES OF MACROECONOMICS, 6th Edition, this user-friendly guide includes a wide variety of learning tools to help you master the key concepts of the course.
Study Guide for Macroeconomics
Author: R. Glenn HubbardPublisher: Prentice Hall
ISBN: 9780131868069
Category :
Languages : en
Pages : 456
Book Description
Naval Space
Author: Us NavyPublisher:
ISBN: 9781707928743
Category :
Languages : en
Pages : 318
Book Description
Resolution of Curve and Surface Singularities in Characteristic Zero
Author: K. KiyekPublisher: Springer Science & Business Media
ISBN: 1402020295
Category : Mathematics
Languages : en
Pages : 506
Book Description
The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.