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

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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...

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Bibliographic Details
Main Author: Leduc, Steven A., 1965-
Corporate Author: Princeton Review (Firm)
Language:English
Published: New York : Random House, [2010]
Edition:Fourth edition.
Subjects:
Graduate Record Examination > Study guides.
Mathematics > Examinations > Study guides.
Mathematics > Examinations, questions, etc.
Graduate Record Examination.
Mathematics.
Mathematics > Examinations.
Matematik > problemsamlingar.
Kunskapsprov.
Examinations.
Study guides.
Genre:
Study guides.
Examinations, questions, etc.
problemsamlingar.
Examinations.
Physical Description:viii, 444 pages : illustrations ; 28 cm
Variant Title:
Princeton review cracking the GRE mathematics subject test
GRE mathematics subject test [Spine title]
Princeton Review
Format: Book
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.