A01=Charles R. MacCluer
Acceleration
Addition
Antiderivative
Author_Charles R. MacCluer
Axiom
Axiom of choice
Bijection
Bisection
Borel set
Boundary (topology)
Calculation
Cantor's diagonal argument
Cardinality
Cartesian coordinate system
Category=PBKA
Compact space
Connected space
Continuous function (set theory)
Continuum hypothesis
Convergent series
Countable set
Derivative
Differentiable function
Differential equation
Disjoint union
Empty set
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Existential quantification
Fixed point (mathematics)
Function (mathematics)
Harmonic series (mathematics)
Improper integral
Infimum and supremum
Integer
Intermediate value theorem
Interval (mathematics)
Inverse function
Line segment
Linear function
Loss function
Mathematics
Maxima and minima
Mean value theorem
Natural number
Neighbourhood (mathematics)
Newton's law of universal gravitation
Open set
Permutation
Polynomial
Power set
Probability
Proportionality (mathematics)
Quantity
Quantum mechanics
Rational number
Real number
Religion
Result
Riemann integral
Riemann zeta function
Second derivative
Series (mathematics)
Sign (mathematics)
Standard deviation
Subset
Summation
Surjective function
Tangent
Taylor series
Theorem
Upper and lower bounds
Wave function
World War II
Product details
- ISBN 9780691125336
- Weight: 539g
- Dimensions: 178 x 254mm
- Publication Date: 26 Mar 2006
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory. The book introduces many topics often left to the appendixes in standard calculus textbooks and develops their connections with physics, engineering, and statistics. The author uses applications of derivatives and integrals to show how calculus is applied in these disciplines. Solutions to all exercises (even those involving proofs) are available to instructors upon request, making this book unique among texts in the field.
* Focuses on single variable calculus * Provides a balance of precision and intuition * Offers both routine and demanding exercises
Charles R. MacCluer is Professor of Mathematics and director of the industrial mathematics program at Michigan State University. His first interest was algebraic number theory but later turned to the more practical disciplines of control theory, signal processing, building science, and industrial problems. He is the author of "Industrial Mathematics, Boundary Value Problems and Fourier Expansions", and "Calculus of Variations".
