Search Results for "vector-calculus-modular-mathematics"

Vector Calculus

Vector Calculus

  • Author: Bill Cox,W. Cox
  • Publisher: Butterworth-Heinemann
  • ISBN: 0340677414
  • Category: Computers
  • Page: 244
  • View: 1162
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Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration. Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differential equations will find it a useful introduction and basic reference.

Vectors in Two or Three Dimensions

Vectors in Two or Three Dimensions

  • Author: Ann Hirst
  • Publisher: Butterworth-Heinemann
  • ISBN: 0080572014
  • Category: Mathematics
  • Page: 144
  • View: 2956
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Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories. * Adopts a geometric approach * Develops gradually, building from basics to the concept of isometry and vector calculus * Assumes virtually no prior knowledge * Numerous worked examples, exercises and challenge questions

Which Degree Directory Series

Which Degree Directory Series

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Degrees, Academic
  • Page: N.A
  • View: 8013
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Exam Prep for: Ccslc Mathematics Book 2 Modules 4- 5

Exam Prep for: Ccslc Mathematics Book 2 Modules 4- 5

  • Author: David Mason
  • Publisher: Rico Publications
  • ISBN: N.A
  • Category: Education
  • Page: 800
  • View: 2359
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5,600 Exam Prep questions and answers. Ebooks, Textbooks, Courses, Books Simplified as questions and answers by Rico Publications. Very effective study tools especially when you only have a limited amount of time. They work with your textbook or without a textbook and can help you to review and learn essential terms, people, places, events, and key concepts.

Subject Guide to Books in Print

Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 8595
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Advanced Calculus

Advanced Calculus

  • Author: Phil Dyke
  • Publisher: Macmillan International Higher Education
  • ISBN: 1349140767
  • Category: Analysis (Mathematics)
  • Page: 183
  • View: 5041
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This book is a student guide to the applications of differential and integral calculus to vectors. Such material is normally covered in the later years of an engineering or applied physical sciences degree course, or the first and second years of a mathematics degree course. The emphasis is on those features of the subject that will appeal to a user of mathematics, rather than the person who is concerned mainly with rigorous proofs. The aim is to assist the reader to acquire good proficiency in algebraic manipulation that can be used in critically assessing the results obtained from using graphics calculators and algebraic software packages.

CRC Concise Encyclopedia of Mathematics

CRC Concise Encyclopedia of Mathematics

  • Author: Eric W. Weisstein
  • Publisher: CRC Press
  • ISBN: 1420035223
  • Category: Mathematics
  • Page: 3252
  • View: 3871
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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Which Degree in Britain

Which Degree in Britain

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Universities and colleges
  • Page: N.A
  • View: 8138
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A comprehensive guide to full-time degree courses, institutions and towns in Britain.

Calculus and Analysis in Euclidean Space

Calculus and Analysis in Euclidean Space

  • Author: Jerry Shurman
  • Publisher: Springer
  • ISBN: 3319493140
  • Category: Mathematics
  • Page: 507
  • View: 1893
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The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, Calculus and Analysis in Euclidean Space offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject. The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of geometric intuition (the visual cortex being quickly instinctive) algebraic manipulation (symbol-patterns being precise and robust) incisive use of natural language (slogans that encapsulate central ideas enabling a large-scale grasp of the subject). Thinking in these ways renders mathematics coherent, inevitable, and fluid. The prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs.

D-modules and Microlocal Calculus

D-modules and Microlocal Calculus

  • Author: Masaki Kashiwara
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821827666
  • Category: Mathematics
  • Page: 254
  • View: 6743
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Masaki Kashiwara is undoubtedly one of the masters of the theory of $D$-modules, and he has created a good, accessible entry point to the subject. The theory of $D$-modules is a very powerful point of view, bringing ideas from algebra and algebraic geometry to the analysis of systems of differential equations. It is often used in conjunction with microlocal analysis, as some of the important theorems are best stated or proved using these techniques. The theory has been used very successfully in applications to representation theory.Here, there is an emphasis on $b$-functions. These show up in various contexts: number theory, analysis, representation theory, and the geometry and invariants of prehomogeneous vector spaces. Some of the most important results on $b$-functions were obtained by Kashiwara. A hot topic from the mid '70s to mid '80s, it has now moved a bit more into the mainstream. Graduate students and research mathematicians will find that working on the subject in the two-decade interval has given Kashiwara a very good perspective for presenting the topic to the general mathematical public.