# Cracking the GRE mathematics subject test / Steven A. Leduc

- Author:
- Leduc, Steven A., 1965-
- Additional Titles:
- Princeton review cracking the GRE mathematics subject test, GRE mathematics subject test, and At head of title: Princeton Review
- Published:
- New York : Random House, [2010]
- Copyright Date:
- ©2010
- Edition:
- Fourth edition.
- Physical Description:
- viii, 444 pages : illustrations ; 28 cm
- Additional Creators:
- Princeton Review (Firm)

- Contents:
- 1. Precalculus -- Functions -- Analytic geometry -- Polynomial equations -- Logarithms -- Trigonometry -- 2. Calculus 1 -- Limits of sequences -- Limits of functions -- Continuous functions -- The derivative -- Curve sketching -- Theorems concerning differentiable functions -- Max/min problems -- Related rates -- Indefinite integration (antidifferentiation) -- Definite integration -- The fundamental theorem of calculus -- Polar coordinates -- Volumes of solids of revolution -- Arc length -- The natural exponential and logarithm functions -- L'Hopital's rule -- Improper integrals -- Infinite series -- Power series -- 3. Calculus 2 -- Analytic geometry of R[superscript]3 -- partial derivatives -- Directional derivatives and the gradient -- Max/min problems -- Line integrals -- Double integrals -- Green's theorem -- 4. Differential equations -- Separable equations -- Homogenous equations -- Exact equations -- Nonexact equations and integrating factors -- First-order linear equations -- Higher-order linear equations with constant coefficients -- 5. Linear algebra -- Solutions of linear systems -- Matrices and matrix algebra -- Gaussian elimination -- Solving matrix equations using A[superscript]-1 -- Vector spaces -- Determinants -- Linear transformations -- Eigenvalues and eigenvectors -- The Cayley-Hamilton theorem -- 6. Number theory and abstract algebra -- Part A. Number theory -- Divisibility -- Congruences -- The congruence equation az [unreproducible symbol] (mod n) -- Part b. Abstract algebra -- Binary structures and the definition of a group -- Subgroups -- The concept of isomorphism -- The classification of finite abelian groups -- Group homomorphisms -- Rings -- Fields -- 7. Additional topics -- Logic -- Set theory -- Graph theory -- Algorithms -- Combinatorics -- Probability and statistics -- Point-set topology -- Real analysis -- Complex variables -- 8. Solutions to the chapter review questions -- 9. Practice test -- 10. Practice test answers and explanations.
- Summary:
- From the publisher. Getting a high score on the GRE Math Subject Test isn't about memorizing everything there is to know about math -- it's about targeting your test preparation. We teach you only the information you'll need along with the best strategies for the test day. In this book, you'll learn how to: use our strategies and techniques to boost your accuracy; increase your pacing and familiarize yourself with the test format; understand the topics that will most likely appear on the test; practice and review the subjects that are hardest for you. Cracking the GRE Math, 4th edition also includes a full-length practice GRE Math Subject Test.
- Subject(s):
- Genre(s):
- ISBN:
- 9780375429729 (pbk.)

0375429727 (pbk.)

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