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Easy as Pi?: An Introduction to Higher Mathematics - O. A. Ivanov
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O. A. Ivanov:

Easy as Pi?: An Introduction to Higher Mathematics - Paperback

2004, ISBN: 9780387985213

[ED: Taschenbuch], [PU: Springer New York], Gebraucht - Sehr gut Mängelexemplar mit leichten Lagerspuren, Sofortversand - This book aims at introducing the reader possessing some high sch… More...

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Easy as Pi?: An Introduction to Higher Mathematics - Ivanov, O. A.
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Ivanov, O. A.:

Easy as Pi?: An Introduction to Higher Mathematics - Paperback

1998, ISBN: 9780387985213

Übersetzer: Burns, R.G. Springer, Taschenbuch, Auflage: 1999, 208 Seiten, Publiziert: 1998-12-04T00:00:01Z, Produktgruppe: Buch, 1.05 kg, Algebra & Zahlentheorie, Naturwissenschaft & Math… More...

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Easy as Pi?: An Introduction to Higher Mathematics - Ivanov, O. A.
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Ivanov, O. A.:
Easy as Pi?: An Introduction to Higher Mathematics - Paperback

1998

ISBN: 9780387985213

Übersetzer: Burns, R.G. Springer, Taschenbuch, Auflage: 1999, 208 Seiten, Publiziert: 1998-12-04T00:00:01Z, Produktgruppe: Buch, 1.05 kg, Algebra & Zahlentheorie, Naturwissenschaft & Math… More...

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Easy as Pi?: An Introduction to Higher Mathematics - Ivanov, O. A.
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Ivanov, O. A.:
Easy as Pi?: An Introduction to Higher Mathematics - Paperback

1998, ISBN: 9780387985213

Übersetzer: Burns, R.G. Springer, Taschenbuch, Auflage: 1999, 208 Seiten, Publiziert: 1998-12-04T00:00:01Z, Produktgruppe: Buch, 1.05 kg, Algebra & Zahlentheorie, Naturwissenschaft & Math… More...

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Easy as ¿? An Introduction to Higher Mathematics - Ivanov, Oleg A.; Burns, R. G. (Übersetzung)
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Ivanov, Oleg A.; Burns, R. G. (Übersetzung):
Easy as ¿? An Introduction to Higher Mathematics - new book

1998, ISBN: 0387985212

1999 Kartoniert / Broschiert Mathematik / Schulbuch / Grundschule, Algebra, Zahlentheorie, Geometrie, combinatorics; HigherMathematics; Matrix; pigeonholeprinciple; calculus; finitefiel… More...

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Details of the book
Easy as Pi?: An Introduction to Higher Mathematics
Author:
Title:
ISBN:

9780387985213


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.

Details of the book - Easy as Pi?: An Introduction to Higher Mathematics


EAN (ISBN-13): 9780387985213
ISBN (ISBN-10): 0387985212
Paperback
Publishing year: 1998
Publisher: Springer
187 Pages
Weight: 0,305 kg
Language: eng/Englisch

Book in our database since 2007-05-26T20:19:42-04:00 (New York)
Detail page last modified on 2024-02-08T06:16:05-05:00 (New York)
ISBN/EAN: 9780387985213

ISBN - alternate spelling:
0-387-98521-2, 978-0-387-98521-3
Alternate spelling and related search-keywords:
Book author: robert burns, oleg ivanov
Book title: higher course mathematics, the easy way

Information from Publisher

Author: Oleg A. Ivanov
Title: Easy as π? - An Introduction to Higher Mathematics
Publisher: Springer; Springer US
190 Pages
Publishing year: 1998-12-04
New York; NY; US
Translator: R.G. Burns
Weight: 0,454 kg
Language: English
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XVIII, 190 p. 1 illus.

BC; Combinatorics; Hardcover, Softcover / Mathematik/Sonstiges; Diskrete Mathematik; Verstehen; Combinatorics; Higher Mathematics; Matrix; Pigeonhole principle; calculus; finite field; graphs; matrix theory; Number Theory; Linear and Multilinear Algebras, Matrix Theory; Geometry; Discrete Mathematics; Number Theory; Linear Algebra; Geometry; Zahlentheorie; Algebra; Geometrie; EA

1 Induction.- 1.1 Principle or method?.- 1.2 The set of integers.- 1.3 Peano’s axioms.- 1.4 Addition, order, and multiplication.- 1.5 The method of mathematical induction.- 2 Combinatorics.- 2.1 Elementary problems.- 2.2 Combinations and recurrence relations.- 2.3 Recurrence relations and power series.- 2.4 Generating functions.- 2.5 The numbers ?e, and n-factorial.- 3 Geometric Transformations.- 3.1 Translations, rotations, and other symmetries, in the context of problem-solving.- 3.2 Problems involving composition of transformations.- 3.3 The group of Euclidean motions of the plane.- 3.4 Ornaments.- 3.5 Mosaics and discrete groups of motions.- 4 Inequalities.- 4.1 The means of a pair of numbers.- 4.2 Cauchy’s inequality and the a.m.-g.m. inequality.- 4.3 Classical inequalities and geometry.- 4.4 Integral variants of the classical inequalities.- 4.5 Wirtinger’s inequality and the isoperimetric problem.- 5 Sets, Equations, and Polynomials.- 5.1 Figures and their equations.- 5.2 Pythagorean triples and Fermat’s last theorem.- 5.3 Numbers and polynomials.- 5.4 Symmetric polynomials.- 5.5 Discriminants and resultants.- 5.6 The method of elimination and Bézout’s theorem.- 5.7 The factor theorem and finite fields.- 6 Graphs.- 6.1 Graphical reformulations.- 6.2 Graphs and parity.- 6.3 Trees.- 6.4 Euler’s formula and the Euler characteristic.- 6.5 The Jordan curve theorem.- 6.6 Pairings.- 6.7 Eulerian graphs and a little more.- 7 The Pigeonhole Principle.- 7.1 Pigeonholes and pigeons.- 7.2 Poincaré’s recurrence theorem.- 7.3 Liouville’s theorem.- 7.4 Minkowski’s lemma.- 7.5 Sums of two squares.- 7.6 Sums of four squares. Euler’s identity.- 8 The Quaternions.- 8.1 The skew-field of quaternions, and Euler’s identity.- 8.2 Division algebras. Frobenius’s theorem.- 8.3 Matrix algebras.- 8.4 Quaternions and rotations.- 9 The Derivative.- 9.1 Geometry and mechanics.- 9.2 Functional equations.- 9.3 The motion of a point—particle.- 9.4 On the number e.- 9.5 Contracting maps.- 9.6 Linearization.- 9.7 The Morse-Sard theorem.- 9.8 The law of conservation of energy.- 9.9 Small oscillations.- 10 The Foundations of Analysis.- 10.1 The rational and real number fields.- 10.2 Nonstandard number lines.- 10.3 “Nonstandard” statements and proofs.- 10.4 The reals numbers via Dedekind cuts.- 10.5 Construction of the reals via Cauchy sequences.- 10.6 Construction of a model of a nonstandard real line.- 10.7 Norms on the rationals.- References.

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