Differentiation And Integration Of Functions Of Several Variables, Vector Calculus

(Paperback)

5 products added to cart in last 30 minutes

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

✅ Total 7 new items foundThis 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 | 2016-08-29 |

Publisher | World Scientific Publishing Co Pte Ltd |

Studio | World Scientific Publishing Co Pte Ltd |

Sales Rank | 642166 |

**Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2**(Paperback)**Vegetable Oil based Bio-lubricants and Transformer Fluids: Applications in Power Plants (Materials Forming, Machining and Tribology)**(Hardcover)**Plasma Science and Technology for Emerging Economies: An AAAPT Experience**(Hardcover)**NO EXIT a gripping thriller full of heart-stopping twists**(Kindle)**Regenerative Medicine: Laboratory to Clinic**(Hardcover)**More Mass, More Ass: The Ultimate Vince Yuen Bodybuilding Workout Routine for Getting Bigger Leaner & Stronger (Body building, weightlighting, health & ... workout routine, building muscle Book 1)**(Kindle)**VAT and Financial Services: Comparative Law and Economic Perspectives**(Hardcover)**Geriatric Medicine: A Problem-Based Approach**(Hardcover)**Natural Gas Markets in India: Opportunities and Challenges**(Hardcover)**Topdriver Car & Bike Driving Handbook: Drive Safe - Drive Smart**(Paperback)**Ultrasound in Gynecology: An Atlas and Guide**(Hardcover)**Boxer's Book of Conditioning & Drilling**(Paperback)**Vikings: Fear and Faith**(Paperback)**Trace Letters - Preschool Practice Handwriting Workbook for Kids Ages 3-5: Tracing Letter Books for Toddlers for Kids Ages 3-5 Reading and Writing: Volume 1 (Wipe Clean)**(Paperback)**Killer Athletes: America’s Special Operations Warriors Share Lessons & Advice To Help Young Athletes Become Champions!**(Kindle)**The World's Greatest Aircraft Carriers: An Illustrated History**(Hardcover)**Huge: A Complete Workout Regimen from Bodybuilding's Superstars**(Paperback)**Mystery of the Magi: The Quest to Identify the Three Wise Men**(Hardcover)**Dynamics of FOXBASE Plus Programming**(Paperback)**Bariatric Surgical Practice Guide: Recommendations**(Hardcover)**Pediatric Rheumatology: A Clinical Viewpoint**(Hardcover)**Proceedings of 2nd International Conference on Intelligent Computing and Applications: ICICA 2015 (Advances in Intelligent Systems and Computing)**(Paperback)**The Future of Leadership: Rise of Automation, Robotics and Artificial Intelligence**(Paperback)**Maharani's Misery: Narratives of a Passage from India**(Paperback)**Off the Rails in Phnom Penh: Into the Dark Heart of Guns, Girls, and Ganga**(Paperback)**His Mistress With Two Secrets (Mills & Boon Modern) (The Sauveterre Siblings, Book 2)**(Kindle)**Texas Hold'em Poker Odds for Your Strategy, with Probability-Based Hand Analyses**(Paperback)**BLOOD TYPE DIET: EAT RIGHT FOR YOUR BLOOD TYPE FOOD AND SUPPLEMENTS FOR TYPE O**(Kindle)**Quran Made Easy in (Arabic Text with English Translation)(PB)**(Paperback)**Al-Bayan Vol 4 Urdu Paperback**(Paperback)

- The author associated with Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is Kristian P. Evans.
- The EAN for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 9789813140967.
- The format for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is Import.
- The ISBN for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 9813140968.
- The height for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 957 mm.
- The length for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 650 mm.
- The width for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 178 mm.
- The language for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is English.
- The binding of Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is Paperback.
- The number of pages for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 are 788.
- The quantity for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 in a package is 1.
- Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is grouped in Book group of products.
- The publication date for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 2016-08-29.
- The publisher for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is World Scientific Publishing Co Pte Ltd.
- The producer for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is World Scientific Publishing Co Pte Ltd.
- The sales rank for Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus: 2 is 642166.