A Compact Capstone Course in Classical Calculus by Peter R Mercer
This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The author’s enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal prerequisites. Readers will gain a broad knowledge of the area, with approaches based on those found in recent literature, as well as historical remarks that deepen the exposition. Specific topics covered include the binomial theorem, the harmonic series, Euler's constant, geometric probability, and much more. Over the fifteen chapters, readers will discover the elegance of calculus and the pivotal role it plays within mathematics.
A Compact Capstone Course in Classical Calculus is ideal for exploring interesting topics in mathematics beyond the standard calculus sequence, particularly for undergraduates who may not be taking more advanced math courses. It would also serve as a useful supplement for a calculus course and a valuable resource for self-study. Readers are expected to have completed two one-semester college calculus courses.
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The Kurzweil-Henstock Integral for Undergraduates
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Geometric Multiplication of Vectors
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Tessellations with Stars and Rosettes
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Vector Bundles and Connections
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Introduction to Functional Analysis
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An Introduction to the Language of Category Theory
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Projective Geometry
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Probabilistic Methods in Telecommunications
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Mathematical Portfolio Theory and Analysis
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Introduction to Ring and Module Theory
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Elements of General Relativity
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A Course on Topological Vector Spaces
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An Introduction to Catalan Numbers
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Differential Equations: Methods and Applications
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Tensors for Scientists
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Linear Algebra
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Turning Points in the History of Mathematics
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Basic Monotonicity Methods with Some Applications
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Introduction to Quasi-Monte Carlo Integration and Applications
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From Groups to Categorial Algebra
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Measure and Integral
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Exploring Classical Greek Construction Problems with Interactive Geometry Software
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Differential Geometry
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A Basic Course in Topology
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Geometry by Its Transformations
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Elementary Numerical Mathematics for Programmers and Engineers
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Introduction to Geometry and Topology
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Introduction to Quantitative Methods for Financial Markets
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Linear Algebra in Data Science
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A Primer on Hilbert Space Operators
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Introduction to Infinity-Categories
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Lebesgue Integral
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Finite Element Approximation of Boundary Value Problems
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A Course in Combinatorics and Graphs
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The Mathematics of Voting and Apportionment
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Mathematical Thinking
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Statistics for Mathematicians
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Basics of Programming and Algorithms, Principles and Applications
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A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations
| SKU | Unavailable |
| ISBN 13 | 9783031439162 |
| ISBN 10 | 3031439163 |
| Title | A Compact Capstone Course in Classical Calculus |
| Author | Peter R Mercer |
| Series | Compact Textbooks In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Birkhauser Verlag AG |
| Year published | 2024-01-13 |
| Number of pages | 157 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |