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Calculus Lifesaver
A01=Adrian Banner
Absolute value
Antiderivative
Approximation
Asymptote
Author_Adrian Banner
Big O notation
Cartesian coordinate system
Category=PBKA
Codomain
Coefficient
Complex number
Continuous function
Continuous function (set theory)
Derivative
Diagram (category theory)
Differentiable function
Differential equation
Dummy variable (statistics)
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Exponential function
Extreme value theorem
Function (mathematics)
Fundamental theorem
Geometric progression
Geometric series
Hyperbolic function
Improper integral
Indeterminate form
Inflection point
Integration by parts
Intermediate value theorem
Inverse function
Inverse trigonometric functions
Limit comparison test
Linear function
Linearization
Logarithm
Logarithmic differentiation
Maxima and minima
Mean value theorem
Negative number
Newton's method
Number line
One-sided limit
Polynomial
Power series
Pythagorean theorem
Quantity
Quotient rule
Ratio test
Rational function
Real number
Rectangle
Riemann sum
Rolle's theorem
Root test
Second derivative
Sign (mathematics)
Significant figures
Special case
Square root
Summation
Tangent
Taylor series
Taylor's theorem
Theorem
Trapezoidal rule
Trigonometric functions
Trigonometry
Variable (mathematics)
Velocity
Zero of a function
Product details
- ISBN 9780691130880
- Weight: 1474g
- Dimensions: 178 x 254mm
- Publication Date: 25 Mar 2007
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an "inner monologue"--the train of thought students should be following in order to solve the problem--providing the necessary reasoning as well as the solution.
The book's emphasis is on building problem-solving skills. Examples range from easy to difficult and illustrate the in-depth presentation of theory. The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus. * Serves as a companion to any single-variable calculus textbook * Informal, entertaining, and not intimidating * Informative videos that follow the book--a full forty-eight hours of Banner's Princeton calculus-review course--is available at Adrian Banner lectures * More than 475 examples (ranging from easy to hard) provide step-by-step reasoning * Theorems and methods justified and connections made to actual practice * Difficult topics such as improper integrals and infinite series covered in detail * Tried and tested by students taking freshman calculus
Adrian Banner is Lecturer in Mathematics at Princeton University and Director of Research at INTECH.
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