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

## Vector Calculus

**Author**: Bill Cox,W. Cox**Publisher:**Butterworth-Heinemann**ISBN:**0340677414**Category:**Computers**Page:**244**View:**2459

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.

## Der absolute Differentialkalkül und seine Anwendungen in Geometrie und Physik

**Author**: Tullio Levi-Civita**Publisher:**N.A**ISBN:**N.A**Category:**Calculus of tensors**Page:**310**View:**4281

## Analysis

**Author**: Ekkehard Kopp**Publisher:**Butterworth-Heinemann**ISBN:**0080928722**Category:**Mathematics**Page:**200**View:**8451

Building on the basic concepts through a careful discussion of covalence, (while adhering resolutely to sequences where possible), the main part of the book concerns the central topics of continuity, differentiation and integration of real functions. Throughout, the historical context in which the subject was developed is highlighted and particular attention is paid to showing how precision allows us to refine our geometric intuition. The intention is to stimulate the reader to reflect on the underlying concepts and ideas.

## Vectors in Two or Three Dimensions

**Author**: Ann Hirst**Publisher:**Butterworth-Heinemann**ISBN:**0080572014**Category:**Mathematics**Page:**144**View:**7880

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

**Author**: N.A**Publisher:**N.A**ISBN:**N.A**Category:**Degrees, Academic**Page:**N.A**View:**8539

## Analysis I

**Author**: Christiane Tretter**Publisher:**Springer-Verlag**ISBN:**3034803494**Category:**Mathematics**Page:**157**View:**7545

Das Lehrbuch ist der erste von zwei einführenden Bänden in die Analysis. Es zeichnet sich dadurch aus, dass alle klassischen Themen der Analysis des ersten Semesters kompakt zusammengefasst sind und dennoch auf typische Anfängerprobleme eingegangen wird. Neben einer Einführung in die formale Sprache und die wichtigsten Beweistechniken der Mathematik bietet der Band eingängige Erläuterungen zu abstrakten Begriffen. Alle prüfungsrelevanten Inhalte sind abgedeckt und können anhand von Beispielen, Gegenbeispielen und Aufgaben nachvollzogen werden.

## CRC Concise Encyclopedia of Mathematics, Second Edition

**Author**: Eric W. Weisstein**Publisher:**CRC Press**ISBN:**1420035223**Category:**Mathematics**Page:**3252**View:**7019

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 dedication of author Eric Weisstein to collecting, cataloging, and referencing mathematical facts, formulas, and definitions. He has now updated most of the original entries and expanded the Encyclopedia to include 1000 additional pages of illustrated entries. The accessibility of the Encyclopedia along with its broad coverage and economical price make it attractive to the widest possible range of readers and certainly a must for libraries, from the secondary to the professional and research levels. For mathematical definitions, formulas, figures, tabulations, and references, this is simply the most impressive compendium available.

## New Foundations in Mathematics

*The Geometric Concept of Number*

**Author**: Garret Sobczyk**Publisher:**Springer Science & Business Media**ISBN:**0817683844**Category:**Mathematics**Page:**370**View:**6045

The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.

## Which Degree 1997: Sciences, medicine, mathematics

**Author**: Careers Research and Advisory Centre (Cambridge, England)**Publisher:**N.A**ISBN:**9781860172571**Category:**Education, Higher**Page:**700**View:**6097

## 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:**2365

## Calculus and Analysis in Euclidean Space

**Author**: Jerry Shurman**Publisher:**Springer**ISBN:**3319493140**Category:**Mathematics**Page:**507**View:**8594

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

**Author**: Masaki Kashiwara**Publisher:**American Mathematical Soc.**ISBN:**9780821827666**Category:**Mathematics**Page:**254**View:**1015

Kashiwara is a master of the theory of D-modules and has created with this book a solid and accessible entry point to the subject. This topic was hot in the mid 1970s through the 1980s and has, once again, moved into the mainstream. The author has an ideal perspective that serves well in presenting the topic to the general mathematical audience.

## Multivariable calculus

*concepts and contexts*

**Author**: James Stewart**Publisher:**Brooks/Cole Pub Co**ISBN:**9780534410025**Category:**Mathematics**Page:**978**View:**9160

Stewart's MULTIVARIABLE CALCULUS: CONCEPTS AND CONTEXTS, 3rd Edition focuses on major concepts and supports them with precise definitions, patient explanations, and carefully graded problems. Margin notes clarify and expand on topics presented in the main body of the text. The Tools for Enriching Calculus CD-ROM contains visualizations, interactive modules, and homework hints that enrich your learning experience.

## Which Degree in Britain

**Author**: N.A**Publisher:**N.A**ISBN:**N.A**Category:**Universities and colleges**Page:**N.A**View:**7207

A comprehensive guide to full-time degree courses, institutions and towns in Britain.

## Mathematical Analysis II

**Author**: Claudio Canuto,Anita Tabacco**Publisher:**Springer**ISBN:**3319127578**Category:**Mathematics**Page:**559**View:**4415

The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis.

## African Mathematics

*From Bones to Computers*

**Author**: Abdul Karim Bangura**Publisher:**University Press of America**ISBN:**0761853480**Category:**Education**Page:**220**View:**7341

This comprehensive text on African Mathematics addresses some of the problematic issues in the field, such as attitudes, curriculum development, educational change, academic achievement, standardized and other tests, performance factors, student characteristics, cross-cultural differences and studies, literacy, native speakers, social class and differences, equal education, teaching methods, and more.

## Real and Abstract Analysis

*A modern treatment of the theory of functions of a real variable*

**Author**: Edwin Hewitt,Karl Stromberg**Publisher:**Springer-Verlag**ISBN:**3662297949**Category:**Mathematics**Page:**476**View:**8308

## Analysis 2

*Differentialrechnung im Rn, gewöhnliche Differentialgleichungen*

**Author**: Otto Forster**Publisher:**Springer-Verlag**ISBN:**3322919080**Category:**Mathematics**Page:**164**View:**2565

Der vorliegende Band stellt den zweiten Teil eines Analysis-Kurses für Studierende der Mathematik und Physik dar. Das erste Kapitel über Differentialrechnung im R^n behandelt nach einer Einführung in die topologischen Grundbegriffe Kurven im R^n, partielle Ableitungen, totale Differenzierbarkeit, Taylorsche Formel, Maxima und Minima von Funktionen mehrerer Veränderlichen, implizite Funktionen und parameterabhängige Integrale. Das zweite Kapitel gibt eine kurze Einführung in die Theorie der gewöhnlichen Differentialgleichungen. Nach dem Beweis des allgemeinen Existenz- und Eindeutigkeitssatzes und der Besprechung der Methode der Trennung der Variablen wird besonders auf die Theorie der linearen Differentialgleichungen eingegangen.

## Which Degree 1996

*The Students' Guide to Full-Time and Sandwich First-Degree Courses*

**Author**: Careers Research and Advisory Centre (Cambridge, England)**Publisher:**N.A**ISBN:**9781860170522**Category:**Universities and colleges**Page:**703**View:**6058

## An Introduction to Differential Geometry

**Author**: T. J. Willmore**Publisher:**Courier Corporation**ISBN:**0486282104**Category:**Mathematics**Page:**336**View:**8631

This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.