An introduction for readers with some high school mathematics to both the higher and the more fundamental developments of the basic themes of elementary mathematics. Chapters begin with a series of elementary problems, cleverly concealing more advanced mathematical ideas. These are then made explicit and further developments explored, thereby deepending and broadening the readers' understanding of mathematics. The text arose from a course taught for several years at St. Petersburg University, and nearly every chapter ends with an interesting commentary on the relevance of its subject matter to the actual classroom setting. However, it may be recommended to a much wider readership; even the professional mathematician will derive much pleasureable instruction from it.
Easy as Pi?: An Introduction to Higher Mathematics
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Text: English (translation)
Original Language: Russian
Original Language: Russian
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First Sentence:
The phrases "the method of mathematical induction," "the principle of mathematical induction," and "an inductive argument" are sometimes used synonymously. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
nonstandard analogue, unimodular quaternions, nonregular values, contracting maps, polygonal arc, translation principle, classical inequalities, elementary problems, highschool students, pigeonhole principle, inductive assumption, central symmetry, factor theorem, curve theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The phrases "the method of mathematical induction," "the principle of mathematical induction," and "an inductive argument" are sometimes used synonymously. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
nonstandard analogue, unimodular quaternions, nonregular values, contracting maps, polygonal arc, translation principle, classical inequalities, elementary problems, highschool students, pigeonhole principle, inductive assumption, central symmetry, factor theorem, curve theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 25
books:
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- Galois Theory, Second Edition by Ian Stewart in Back Matter
- Computer Methods for Mathematical Computations (Prentice-Hall series in automatic computation) by George Elmer Forsythe in Back Matter
- Topics in Algebra by I. N. Herstein in Back Matter
- Short Stories (Penguin Classics) by Mark Twain on page 3
- Ordinary Differential Equations (Universitext) by Vladimir I. Arnold in Back Matter
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