Elements of real analysis / M. A. Al-Gwaiz, S. A. Elsanousi |
Autore | Al-Gwaiz, M. A. |
Pubbl/distr/stampa | Boca Raton : Chapman & Hall/CRC, c2007 |
Descrizione fisica | XIII, 436 p. ; 24 cm |
Disciplina | 515.8 |
Altri autori (Persone) | Elsanousi, S. A. |
Collana | Pure and applied mathematics |
Soggetto non controllato | Funzioni reali |
ISBN | 1-58488-661-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990008603470403321 |
Al-Gwaiz, M. A.
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Boca Raton : Chapman & Hall/CRC, c2007 | ||
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Lo trovi qui: Univ. Federico II | ||
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Elements of real analysis / Robert G. Bartle |
Autore | Bartle, Robert Gardner <1927-2003> |
Pubbl/distr/stampa | New York : s.e., 1964 |
Disciplina | 515.8 |
Soggetto non controllato | Analisi reale |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990001130550403321 |
Bartle, Robert Gardner <1927-2003>
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New York : s.e., 1964 | ||
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Lo trovi qui: Univ. Federico II | ||
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The elements of real analysis / Robert G. Bartle |
Autore | Bartle, Robert Gardner |
Edizione | [2d ed] |
Descrizione fisica | xv, 480 p. : ill. ; 24 cm. |
Disciplina | 515.8 |
Soggetto topico | Mathematical analysis |
ISBN | 047105464X |
Classificazione |
AMS 26-01
AMS 26-XX |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000856269707536 |
Bartle, Robert Gardner
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Lo trovi qui: Univ. del Salento | ||
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Endlich gelöst! Aufgaben zur Mathematik für Ingenieure und Naturwissenschaftler [[electronic resource] ] : Band 2: Analysis in R^n und gewöhnliche Differentialgleichungen / / von Wilhelm Merz, Peter Knabner |
Autore | Merz Wilhelm |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer Spektrum, , 2017 |
Descrizione fisica | 1 online resource (IX, 293 S.) |
Disciplina | 515.8 |
Soggetto topico |
Functions of real variables
Differential equations Real Functions Ordinary Differential Equations |
ISBN | 3-662-54783-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Nota di contenuto | Reellwertige Funktionen von mehreren reellen Veränderlichen -- Differentialrechnung vektorwertiger Funktionen -- Mehrdimensionale Integration -- Flächen und Flächenintegrale -- Stammfunktionen und Wegunabhängigkeit von Kurven- und Flächenintegralen -- Integralsätze von Gauß und Stokes -- Gewöhnliche Differentialgleichungen. |
Record Nr. | UNINA-9910485030303321 |
Merz Wilhelm
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer Spektrum, , 2017 | ||
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Lo trovi qui: Univ. Federico II | ||
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Exploring Mathematical Analysis, Approximation Theory, and Optimization [[electronic resource] ] : 270 Years Since A.-M. Legendre’s Birth / / edited by Nicholas J. Daras, Michael Th. Rassias, Nikolaos B. Zographopoulos |
Autore | Daras Nicholas J |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
Descrizione fisica | 1 online resource (474 pages) |
Disciplina | 515.8 |
Altri autori (Persone) |
RassiasMichael Th
ZographopoulosNikolaos B |
Collana | Springer Optimization and Its Applications |
Soggetto topico |
Functions of real variables
Mathematical optimization Approximation theory Functional analysis Operator theory Number theory Real Functions Optimization Approximations and Expansions Functional Analysis Operator Theory Number Theory Anàlisi numèrica Optimització matemàtica |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-46487-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- On a version of Jensen-Steffensen inequality and a note on inequalities in several variables -- A class of dynamic unilateral contact problems with sub-differential friction law -- Square-free values of $[\textrm{n}^c \tan^\theta(\log \textrm{n})]$ -- Ostrowski and Trapezoid Type Inequalities for Riemann-Liouville Fractional Integrals of Functions with Bounded Variation -- A strong maximum principle for general nonlinear operators -- On the Application of Ergodic Theory to an Alternating Series Expansion for Real Numbers -- Bounds for Similarity Condition Numbers of Unbounded Operators -- Legendre's Geometry and Trigonometry at the Evelpides School (Central Military School) during the Kapodristrian period -- The Overshadowing of Euclid’s Geometry by Legendre’s Géométrie in the Modern Greek Education -- Finite Element Methods with Higher Order Polynomials -- On Local Asymptotics for Orthonormal Polynomials -- New Trends in Geometric Function Theory -- A unified approach to extended general quasi variational inclusions -- On a Reverse Hilbert-Type Inequality in the Whole Plane with Multi-Parameters -- Generating functions for the Fubini type polynomials and their applications -- Kleene Fixed Point Theorems and Applications -- On ergodic states, spontaneous symmetry breaking and quasi-averages -- Improvement of the Hardy inequality and Legendre polynomials. |
Record Nr. | UNINA-9910799219103321 |
Daras Nicholas J
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
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Lo trovi qui: Univ. Federico II | ||
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Fine topology methods in real analysis and potential theory / Jaroslav Lukes, Jan Malý, Ludek Zajícek |
Autore | Lukes, Jaroslav |
Pubbl/distr/stampa | Berlin [etc.] : Springer, c1986 |
Descrizione fisica | X, 472 p. ; 25 cm. |
Disciplina | 515.8 |
Altri autori (Persone) |
Malý, Jan
Zajícek, Ludek |
Collana | Lecture notes in mathematics |
Soggetto topico |
Topologia
Funzioni di variabile reale |
ISBN | 3-540-16474-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNIBAS-000012834 |
Lukes, Jaroslav
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Berlin [etc.] : Springer, c1986 | ||
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Lo trovi qui: Univ. della Basilicata | ||
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Finite dimensional convexity and optimization / Monique Florenzano, Cuong Le Van ; in cooperation with Pascal Gourdel |
Autore | Florenzano, Monique |
Pubbl/distr/stampa | Berlin; New York : Springer-Verlag, c2001 |
Descrizione fisica | IX, 154 p. : graf. ; 25 cm |
Disciplina | 515.8 |
Altri autori (Persone) | Le Van, Cuong |
Collana | Studies in economic theory |
Soggetto non controllato |
Modelli e metodi matematici
Funzioni convesse |
ISBN | 3-540-41516-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNIPARTHENOPE-000003625 |
Florenzano, Monique
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Berlin; New York : Springer-Verlag, c2001 | ||
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Lo trovi qui: Univ. Parthenope | ||
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A first course in real analysis / / by Murray H. Protter, Charles B. Morrey, Jr |
Autore | Protter Murray H |
Edizione | [Second edition.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 |
Descrizione fisica | 1 online resource (xviii, 536 pages) |
Disciplina | 515.8 |
Collana | Undergraduate Texts in Mathematics |
Soggetto topico |
Functions of real variables
Real Functions |
ISBN |
9781441987440
1441987444 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 The Real Number System -- 1.1 Axioms for a Field -- 1.2 Natural Numbers and Sequences -- 1.3 Inequalities -- 1.4 Mathematical Induction -- 2 Continuity And Limits -- 2.1 Continuity -- 2.2 Limits -- 2.3 One-Sided Limits -- 2.4 Limits at Infinity; Infinite Limits -- 2.5 Limits of Sequences -- 3 Basic Properties of Functions on ?1 -- 3.1 The Intermediate-Value Theorem -- 3.2 Least Upper Bound; Greatest Lower Bound -- 3.3 The Bolzano—Weierstrass Theorem -- 3.4 The Boundedness and Extreme-Value Theorems -- 3.5 Uniform Continuity -- 3.6 The Cauchy Criterion -- 3.7 The Heine-Borel and Lebesgue Theorems -- 4 Elementary Theory of Differentiation -- 4.1 The Derivative in ?1 -- 4.2 Inverse Functions in ?1 -- 5 Elementary Theory of Integration -- 5.1 The Darboux Integral for Functions on ?1 -- 5.2 The Riemann Integral -- 5.3 The Logarithm and Exponential Functions -- 5.4 Jordan Content and Area -- 6 Elementary Theory of Metric Spaces -- 6.1 The Schwarz and Triangle Inequalities; Metric Spaces -- 6.2 Elements of Point Set Topology -- 6.3 Countable and Uncountable Sets -- 6.4 Compact Sets and the Heine—Borel Theorem -- 6.5 Functions on Compact Sets -- 6.6 Connected Sets -- 6.7 Mappings from One Metric Space to Another -- 7 Differentiation in ?N -- 7.1 Partial Derivatives and the Chain Rule -- 7.2 Taylor’s Theorem; Maxima and Minima 178 -- 7.3 The Derivative in ?N -- 8 Integration in ?N -- 8.1 Volume in ?N -- 8.2 The Darboux Integral in ?N -- 8.3 The Riemann Integral in ?N -- 9 Infinite Sequences and Infinite Series -- 9.1 Tests for Convergence and Divergence -- 9.2 Series of Positive and Negative Terms; Power Series -- 9.3 Uniform Convergence of Sequences -- 9.4 Uniform Convergence of Series; Power Series -- 9.5 Unordered Sums -- 9.6 The Comparison Test for Unordered Sums; Uniform Convergence -- 9.7 Multiple Sequences and Series -- 10 Fourier Series -- 10.1 Expansions of Periodic Functions -- 10.2 Sine Series and Cosine Series; Change of Interval -- 10.3 Convergence Theorems -- 11 Functions Defined by Integrals; Improper Integrals -- 11.1 The Derivative of a Function Defined by an Integral; the Leibniz Rule -- 1l.2 Convergence and Divergence of Improper Integrals -- 11.3 The Derivative of Functions Defined by Improper Integrals; the Gamma Function -- 12 The Riemann—Stieltjes Integral and Functions of Bounded Variation -- 12.1 Functions of Bounded Variation -- 12.2 The Riemann—Stieltjes Integral -- 13 Contraction Mappings, Newton’s Method, and Differential Equations -- 13.1 A Fixed Point Theorem and Newton’s Method -- 13.2 Application of the Fixed Point Theorem to Differential Equations -- 14 Implicit Function Theorems and Lagrange Multipliers -- 14.1 The Implicit Function Theorem for a Single Equation -- 14.2 The Implicit Function Theorem for Systems -- 14.3 Change of Variables in a Multiple Integral -- 14.4 The Lagrange Multiplier Rule -- 15 Functions on Metric Spaces; Approximation -- 15.1 Complete Metric Spaces -- 15.2 Convex Sets and Convex Functions -- 15.3 Arzela’s Theorem; the Tietze Extension Theorem -- 15.4 Approximations and the Stone—Weierstrass Theorem -- 16 Vector Field Theory; the Theorems of Green and Stokes -- 16.1 Vector Functions on ?1 -- 16.2 Vector Functions and Fields on ?N -- 16.3 Line Integrals in ?N -- 16.4 Green’s Theorem in the Plane -- 16.5 Surfaces in ?3; Parametric Representation -- 16.6 Area of a Surface in ?3; Surface Integrals -- 16.7 Orientable Surfaces -- 16.8 The Stokes Theorem -- 16.9 The Divergence Theorem -- Appendixes -- Appendix 1 Absolute Value -- Appendix 2 Solution of Algebraic Inequalities -- Appendix 3 Expansions of Real Numbers in Any Base -- Answers to Odd-Numbered Problems. |
Record Nr. | UNINA-9910480138903321 |
Protter Murray H
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New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 | ||
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Lo trovi qui: Univ. Federico II | ||
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A first course in real analysis / / by Murray H. Protter, Charles B. Morrey, Jr |
Autore | Protter Murray H |
Edizione | [Second edition.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 |
Descrizione fisica | 1 online resource (xviii, 536 pages) |
Disciplina | 515.8 |
Collana | Undergraduate Texts in Mathematics |
Soggetto topico |
Functions of real variables
Real Functions |
ISBN | 1-4419-8744-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 The Real Number System -- 1.1 Axioms for a Field -- 1.2 Natural Numbers and Sequences -- 1.3 Inequalities -- 1.4 Mathematical Induction -- 2 Continuity And Limits -- 2.1 Continuity -- 2.2 Limits -- 2.3 One-Sided Limits -- 2.4 Limits at Infinity; Infinite Limits -- 2.5 Limits of Sequences -- 3 Basic Properties of Functions on ?1 -- 3.1 The Intermediate-Value Theorem -- 3.2 Least Upper Bound; Greatest Lower Bound -- 3.3 The Bolzano—Weierstrass Theorem -- 3.4 The Boundedness and Extreme-Value Theorems -- 3.5 Uniform Continuity -- 3.6 The Cauchy Criterion -- 3.7 The Heine-Borel and Lebesgue Theorems -- 4 Elementary Theory of Differentiation -- 4.1 The Derivative in ?1 -- 4.2 Inverse Functions in ?1 -- 5 Elementary Theory of Integration -- 5.1 The Darboux Integral for Functions on ?1 -- 5.2 The Riemann Integral -- 5.3 The Logarithm and Exponential Functions -- 5.4 Jordan Content and Area -- 6 Elementary Theory of Metric Spaces -- 6.1 The Schwarz and Triangle Inequalities; Metric Spaces -- 6.2 Elements of Point Set Topology -- 6.3 Countable and Uncountable Sets -- 6.4 Compact Sets and the Heine—Borel Theorem -- 6.5 Functions on Compact Sets -- 6.6 Connected Sets -- 6.7 Mappings from One Metric Space to Another -- 7 Differentiation in ?N -- 7.1 Partial Derivatives and the Chain Rule -- 7.2 Taylor’s Theorem; Maxima and Minima 178 -- 7.3 The Derivative in ?N -- 8 Integration in ?N -- 8.1 Volume in ?N -- 8.2 The Darboux Integral in ?N -- 8.3 The Riemann Integral in ?N -- 9 Infinite Sequences and Infinite Series -- 9.1 Tests for Convergence and Divergence -- 9.2 Series of Positive and Negative Terms; Power Series -- 9.3 Uniform Convergence of Sequences -- 9.4 Uniform Convergence of Series; Power Series -- 9.5 Unordered Sums -- 9.6 The Comparison Test for Unordered Sums; Uniform Convergence -- 9.7 Multiple Sequences and Series -- 10 Fourier Series -- 10.1 Expansions of Periodic Functions -- 10.2 Sine Series and Cosine Series; Change of Interval -- 10.3 Convergence Theorems -- 11 Functions Defined by Integrals; Improper Integrals -- 11.1 The Derivative of a Function Defined by an Integral; the Leibniz Rule -- 1l.2 Convergence and Divergence of Improper Integrals -- 11.3 The Derivative of Functions Defined by Improper Integrals; the Gamma Function -- 12 The Riemann—Stieltjes Integral and Functions of Bounded Variation -- 12.1 Functions of Bounded Variation -- 12.2 The Riemann—Stieltjes Integral -- 13 Contraction Mappings, Newton’s Method, and Differential Equations -- 13.1 A Fixed Point Theorem and Newton’s Method -- 13.2 Application of the Fixed Point Theorem to Differential Equations -- 14 Implicit Function Theorems and Lagrange Multipliers -- 14.1 The Implicit Function Theorem for a Single Equation -- 14.2 The Implicit Function Theorem for Systems -- 14.3 Change of Variables in a Multiple Integral -- 14.4 The Lagrange Multiplier Rule -- 15 Functions on Metric Spaces; Approximation -- 15.1 Complete Metric Spaces -- 15.2 Convex Sets and Convex Functions -- 15.3 Arzela’s Theorem; the Tietze Extension Theorem -- 15.4 Approximations and the Stone—Weierstrass Theorem -- 16 Vector Field Theory; the Theorems of Green and Stokes -- 16.1 Vector Functions on ?1 -- 16.2 Vector Functions and Fields on ?N -- 16.3 Line Integrals in ?N -- 16.4 Green’s Theorem in the Plane -- 16.5 Surfaces in ?3; Parametric Representation -- 16.6 Area of a Surface in ?3; Surface Integrals -- 16.7 Orientable Surfaces -- 16.8 The Stokes Theorem -- 16.9 The Divergence Theorem -- Appendixes -- Appendix 1 Absolute Value -- Appendix 2 Solution of Algebraic Inequalities -- Appendix 3 Expansions of Real Numbers in Any Base -- Answers to Odd-Numbered Problems. |
Record Nr. | UNINA-9910789343003321 |
Protter Murray H
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New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 | ||
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Lo trovi qui: Univ. Federico II | ||
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A first course in real analysis / / by Murray H. Protter, Charles B. Morrey, Jr |
Autore | Protter Murray H |
Edizione | [Second edition.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 |
Descrizione fisica | 1 online resource (xviii, 536 pages) |
Disciplina | 515.8 |
Collana | Undergraduate Texts in Mathematics |
Soggetto topico |
Functions of real variables
Real Functions |
ISBN | 1-4419-8744-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 The Real Number System -- 1.1 Axioms for a Field -- 1.2 Natural Numbers and Sequences -- 1.3 Inequalities -- 1.4 Mathematical Induction -- 2 Continuity And Limits -- 2.1 Continuity -- 2.2 Limits -- 2.3 One-Sided Limits -- 2.4 Limits at Infinity; Infinite Limits -- 2.5 Limits of Sequences -- 3 Basic Properties of Functions on ?1 -- 3.1 The Intermediate-Value Theorem -- 3.2 Least Upper Bound; Greatest Lower Bound -- 3.3 The Bolzano—Weierstrass Theorem -- 3.4 The Boundedness and Extreme-Value Theorems -- 3.5 Uniform Continuity -- 3.6 The Cauchy Criterion -- 3.7 The Heine-Borel and Lebesgue Theorems -- 4 Elementary Theory of Differentiation -- 4.1 The Derivative in ?1 -- 4.2 Inverse Functions in ?1 -- 5 Elementary Theory of Integration -- 5.1 The Darboux Integral for Functions on ?1 -- 5.2 The Riemann Integral -- 5.3 The Logarithm and Exponential Functions -- 5.4 Jordan Content and Area -- 6 Elementary Theory of Metric Spaces -- 6.1 The Schwarz and Triangle Inequalities; Metric Spaces -- 6.2 Elements of Point Set Topology -- 6.3 Countable and Uncountable Sets -- 6.4 Compact Sets and the Heine—Borel Theorem -- 6.5 Functions on Compact Sets -- 6.6 Connected Sets -- 6.7 Mappings from One Metric Space to Another -- 7 Differentiation in ?N -- 7.1 Partial Derivatives and the Chain Rule -- 7.2 Taylor’s Theorem; Maxima and Minima 178 -- 7.3 The Derivative in ?N -- 8 Integration in ?N -- 8.1 Volume in ?N -- 8.2 The Darboux Integral in ?N -- 8.3 The Riemann Integral in ?N -- 9 Infinite Sequences and Infinite Series -- 9.1 Tests for Convergence and Divergence -- 9.2 Series of Positive and Negative Terms; Power Series -- 9.3 Uniform Convergence of Sequences -- 9.4 Uniform Convergence of Series; Power Series -- 9.5 Unordered Sums -- 9.6 The Comparison Test for Unordered Sums; Uniform Convergence -- 9.7 Multiple Sequences and Series -- 10 Fourier Series -- 10.1 Expansions of Periodic Functions -- 10.2 Sine Series and Cosine Series; Change of Interval -- 10.3 Convergence Theorems -- 11 Functions Defined by Integrals; Improper Integrals -- 11.1 The Derivative of a Function Defined by an Integral; the Leibniz Rule -- 1l.2 Convergence and Divergence of Improper Integrals -- 11.3 The Derivative of Functions Defined by Improper Integrals; the Gamma Function -- 12 The Riemann—Stieltjes Integral and Functions of Bounded Variation -- 12.1 Functions of Bounded Variation -- 12.2 The Riemann—Stieltjes Integral -- 13 Contraction Mappings, Newton’s Method, and Differential Equations -- 13.1 A Fixed Point Theorem and Newton’s Method -- 13.2 Application of the Fixed Point Theorem to Differential Equations -- 14 Implicit Function Theorems and Lagrange Multipliers -- 14.1 The Implicit Function Theorem for a Single Equation -- 14.2 The Implicit Function Theorem for Systems -- 14.3 Change of Variables in a Multiple Integral -- 14.4 The Lagrange Multiplier Rule -- 15 Functions on Metric Spaces; Approximation -- 15.1 Complete Metric Spaces -- 15.2 Convex Sets and Convex Functions -- 15.3 Arzela’s Theorem; the Tietze Extension Theorem -- 15.4 Approximations and the Stone—Weierstrass Theorem -- 16 Vector Field Theory; the Theorems of Green and Stokes -- 16.1 Vector Functions on ?1 -- 16.2 Vector Functions and Fields on ?N -- 16.3 Line Integrals in ?N -- 16.4 Green’s Theorem in the Plane -- 16.5 Surfaces in ?3; Parametric Representation -- 16.6 Area of a Surface in ?3; Surface Integrals -- 16.7 Orientable Surfaces -- 16.8 The Stokes Theorem -- 16.9 The Divergence Theorem -- Appendixes -- Appendix 1 Absolute Value -- Appendix 2 Solution of Algebraic Inequalities -- Appendix 3 Expansions of Real Numbers in Any Base -- Answers to Odd-Numbered Problems. |
Record Nr. | UNINA-9910819099203321 |
Protter Murray H
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New York, NY : , : Springer New York : , : Imprint : Springer, , 1991 | ||
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Lo trovi qui: Univ. Federico II | ||
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