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Calculus With Applications
Buch von Maria Shea Terrell (u. a.)
Sprache: Englisch

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Beschreibung
Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.
Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.
Über den Autor

Peter D. Lax is currently an Emeritus Professor of Mathematics at the Courant Institute of Mathematical Sciences.

Maria Shea Terrell is currently a Senior Lecturer of Mathematics and Director of Teaching Assistant Programs at Cornell University.

Zusammenfassung

New edition extensively revised and updated, including many new problems

Features early treatment of sequences and series relates calculus to calculation and approximation

Offers explanations of all the important theorems to help students understand their meaning

Includes supplementary material: [...]

Inhaltsverzeichnis
1 Numbers and Limits.- 2 Functions and Continuity.- 3 The Derivative and Differentiation.- 4 The Theory of Differentiable Functions.- 5 Applications of the Derivative.- 6 Integration.- 7 Methods for Integration.- 8 Approximation of Integrals.- 9 Complex Numbers.- 10 Differential Equations.- 11 Probability.- Answers to Selected Problems.- Index.
Details
Erscheinungsjahr: 2013
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: xii
503 S.
220 s/w Illustr.
503 p. 220 illus.
ISBN-13: 9781461479451
ISBN-10: 1461479452
Sprache: Englisch
Herstellernummer: 86164536
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Terrell, Maria Shea
Lax, Peter D.
Auflage: 2nd ed. 2014
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 241 x 160 x 32 mm
Von/Mit: Maria Shea Terrell (u. a.)
Erscheinungsdatum: 21.09.2013
Gewicht: 0,933 kg
Artikel-ID: 105926961
Über den Autor

Peter D. Lax is currently an Emeritus Professor of Mathematics at the Courant Institute of Mathematical Sciences.

Maria Shea Terrell is currently a Senior Lecturer of Mathematics and Director of Teaching Assistant Programs at Cornell University.

Zusammenfassung

New edition extensively revised and updated, including many new problems

Features early treatment of sequences and series relates calculus to calculation and approximation

Offers explanations of all the important theorems to help students understand their meaning

Includes supplementary material: [...]

Inhaltsverzeichnis
1 Numbers and Limits.- 2 Functions and Continuity.- 3 The Derivative and Differentiation.- 4 The Theory of Differentiable Functions.- 5 Applications of the Derivative.- 6 Integration.- 7 Methods for Integration.- 8 Approximation of Integrals.- 9 Complex Numbers.- 10 Differential Equations.- 11 Probability.- Answers to Selected Problems.- Index.
Details
Erscheinungsjahr: 2013
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: xii
503 S.
220 s/w Illustr.
503 p. 220 illus.
ISBN-13: 9781461479451
ISBN-10: 1461479452
Sprache: Englisch
Herstellernummer: 86164536
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Terrell, Maria Shea
Lax, Peter D.
Auflage: 2nd ed. 2014
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 241 x 160 x 32 mm
Von/Mit: Maria Shea Terrell (u. a.)
Erscheinungsdatum: 21.09.2013
Gewicht: 0,933 kg
Artikel-ID: 105926961
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