Course In Analysis, A - Vol. Ii

(Paperback)

5 products added to cart in last 30 minutes

✅ Lowest price available on Amazon✅ Usually dispatched within 4-5 business days

✅ Total 4 new items foundMRP: ₹6745.00 | Saved: ₹1007 (14%)

₹5738.00 @ Flipkart

✅ In Stock - Available for quick dispatch

✅ Cash on Delivery available

✅ Cash on Delivery available

This is the second volume of "A Course in Analysis" and it is devoted to the study of mappings between subsets of Euclidean spaces. The metric, hence the topological structure is discussed as well as the continuity of mappings. This is followed by introducing partial derivatives of real-valued functions and the differential of mappings. Many chapters deal with applications, in particular to geometry (parametric curves and surfaces, convexity), but topics such as extreme values and Lagrange multipliers, or curvilinear coordinates are considered too. On the more abstract side results such as the Stone-Weierstrass theorem or the Arzela-Ascoli theorem are proved in detail. The first part ends with a rigorous treatment of line integrals. The second part handles iterated and volume integrals for real-valued functions. Here we develop the Riemann (-Darboux-Jordan) theory. A whole chapter is devoted to boundaries and Jordan measurability of domains. We also handle in detail improper integrals and give some of their applications. The final part of this volume takes up a first discussion of vector calculus. Here we present a working mathematician's version of Green's, Gauss' and Stokes' theorem. Again some emphasis is given to applications, for example to the study of partial differential equations. At the same time we prepare the student to understand why these theorems and related objects such as surface integrals demand a much more advanced theory which we will develop in later volumes. This volume offers more than 260 problems solved in complete detail which should be of great benefit to every serious student.

This is the second volume of 'A Course in Analysis' and it is devoted to the study of mappings between subsets of Euclidean spaces. The metric, hence the topological structure is discussed as well as the continuity of mappings. This is followed by introducing partial derivatives of real-valued functions and the differential of mappings. Many chapters deal with applications, in particular to geometry (parametric curves and surfaces, convexity), but topics such as extreme values and Lagrange multipliers, or curvilinear coordinates are considered too. On the more abstract side results such as the Stone-Weierstrass theorem or the Arzela-Ascoli theorem are proved in detail. The first part ends with a rigorous treatment of line integrals.The second part handles iterated and volume integrals for real-valued functions. Here we develop the Riemann (-Darboux-Jordan) theory. A whole chapter is devoted to boundaries and Jordan measurability of domains. We also handle in detail improper integrals and give some of their applications.The final part of this volume takes up a first discussion of vector calculus. Here we present a working mathematician's version of Green's, Gauss' and Stokes' theorem. Again some emphasis is given to applications, for example to the study of partial differential equations. At the same time we prepare the student to understand why these theorems and related objects such as surface integrals demand a much more advanced theory which we will develop in later volumes.This volume offers more than 260 problems solved in complete detail which should be of great benefit to every serious student.

Author | Kristian P. Evans |

Binding | Paperback |

EAN | 9789813140967 |

Format | Import |

ISBN | 9813140968 |

Height | 957 mm |

Length | 650 mm |

Width | 178 mm |

Language | English |

Language Type | Published |

Number Of Pages | 788 |

Package Quantity | 1 |

Product Group | Book |

Publication Date | 2016-06-30 |

Publisher | World Scientific Publishing Co Pte Ltd |

Studio | World Scientific Publishing Co Pte Ltd |

Sales Rank | 500301 |

**2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus**(Paperback)**Differential Calculus**(Loose Leaf)**Stories After They Slept: Account of a Failed Engineer**(Paperback)**Traditional Islamic Baby Names: Authentic Male and Female Given Names from Early Islamic History**(Kindle)**Kindling of an Insurrection: Notes from Junglemahals**(Hardcover)**The Trial: Transform Your Dating Life In Eight Weeks**(Kindle)**Survival Sandstorm: The Journey that Changed the Course of World War II**(Paperback)**Holy Spirit, I Love You!**(Paperback)**Shikshak Abhiyogita Vishesh Tayari MAHA TAIT 2017**(Paperback)**Cancer as a Metabolic Disease: On the Origin, Management, and Prevention of Cancer**(Hardcover)**Music, Sense and Nonsense: Collected Essays and Lectures**(Paperback)**100 German Daily Life Short Stories For Beginners: Learn German With Short Stories (German Edition)**(Kindle)**Hack Into Your Creativity**(Paperback)**GST Tariff**(Paperback)**The Parables of Jesus (The William Barclay Library)**(Paperback)**Making More Plants: The Science, Art, and Joy of Propagation**(Paperback)**Valuer Vaduganathan (Norwegian) (Norwegian Edition)**(Kindle)**Not Dead Yet: A Manifesto for Old Age**(Paperback)**Modern Lcd Wall Units Vol-1**(Paperback)**Fidget Spinner: The Ultimate Guide to Building, Customizing and Performing Tricks**(Kindle)**Al-Ma'thurat**(Kindle)**Pearson IIT Foundation Maths Class 9**(Paperback)**Semantic Web Programming**(Paperback)**Yayoi Kusama: From Here to Infinity!**(Hardcover)**Paying The Debt (Innocence Claimed Book 3)**(Kindle)**Writing The Doctoral Dissertation, 3rd edition**(Kindle)**Tune Into Grammar for ICSE Class 8**(Paperback)**An Introduction To Social Anthropology**(Paperback)**Street Food: Culture, economy, health and governance (Routledge Studies in Food, Society and the Environment)**(Paperback)**Civilizationism: Why the West Is Collapsing & How We Can Save It**(Paperback)

- The author associated with 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is Kristian P. Evans.
- The EAN for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is 9789813140967.
- The format for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is Import.
- The ISBN for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is 9813140968.
- The height for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is 957 mm.
- The length for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is 650 mm.
- The width for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is 178 mm.
- The language for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is English.
- The binding of 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is Paperback.
- The number of pages for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus are 788.
- The quantity for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus in a package is 1.
- 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is grouped in Book group of products.
- The publication date for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is 2016-06-30.
- The publisher for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is World Scientific Publishing Co Pte Ltd.
- The producer for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is World Scientific Publishing Co Pte Ltd.
- The sales rank for 2: Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus is 500301.