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

## Vector Calculus

**Author**: Bill Cox,W. Cox**Publisher:**Butterworth-Heinemann**ISBN:**0340677414**Category:**Computers**Page:**244**View:**4697

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.

## Analysis

**Author**: Ekkehard Kopp**Publisher:**Butterworth-Heinemann**ISBN:**0080928722**Category:**Mathematics**Page:**200**View:**7358

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:**5103

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

## CRC Concise Encyclopedia of Mathematics, Second Edition

**Author**: Eric W. Weisstein**Publisher:**CRC Press**ISBN:**1420035223**Category:**Mathematics**Page:**3252**View:**2745

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.

## Advanced Calculus

**Author**: Phil Dyke**Publisher:**Macmillan International Higher Education**ISBN:**1349140767**Category:**Analysis (Mathematics)**Page:**183**View:**9176

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.

## Tensor and Vector Analysis

*Geometry, Mechanics and Physics*

**Author**: A.T. Fomenko,V.V. Trofimov,O V Manturnov**Publisher:**CRC Press**ISBN:**9789056990077**Category:**Mathematics**Page:**312**View:**5216

Reflecting the significant contributions of Russian mathematicians to the field, this book contains a selection of papers on tensor and vector analysis. It is divided into three parts, covering Hamiltonian systems, Riemannian geometry and calculus of variations, and topology. The range of applications of these topics is very broad, as many modern geometrical problems recur across a wide range of fields, including mechanics and physics as well as mathematics. Many of the approaches to problems presented in this volume will be novel to the Western reader, although questions are of global interest. The main achievements of the Russian school are placed in the context of the development of each individual subject.

## 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:**4697

## 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:**7574

## Multivariable calculus

*concepts and contexts*

**Author**: James Stewart**Publisher:**Brooks/Cole Pub Co**ISBN:**9780534410025**Category:**Mathematics**Page:**978**View:**5420

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 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:**7402

## An Introduction to Differential Geometry

**Author**: T. J. Willmore**Publisher:**Courier Corporation**ISBN:**0486282104**Category:**Mathematics**Page:**336**View:**5215

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.

## New Foundations in Mathematics

*The Geometric Concept of Number*

**Author**: Garret Sobczyk**Publisher:**Springer Science & Business Media**ISBN:**0817683852**Category:**Mathematics**Page:**370**View:**2176

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.

## Atomic Physics: 8th Edition

**Author**: Max Born**Publisher:**Courier Corporation**ISBN:**0486318583**Category:**Science**Page:**544**View:**4767

Nobel Laureate's lucid treatment of kinetic theory of gases, elementary particles, nuclear atom, wave-corpuscles, atomic structure and spectral lines, much more. Over 40 appendices, bibliography.

## Physics of Fully Ionized Gases

*Second Revised Edition*

**Author**: Lyman Spitzer**Publisher:**Courier Corporation**ISBN:**0486151581**Category:**Science**Page:**192**View:**5721

An introductory course in theoretical physics is the sole prerequisite for this general but simple introduction to the fields of plasma and fusion research. 1962 edition.

## Comprehensive Mathematics for Computer Scientists 1

*Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry*

**Author**: Guerino Mazzola,Gérard Milmeister,Jody Weissmann**Publisher:**Springer Science & Business Media**ISBN:**3540368744**Category:**Computers**Page:**388**View:**9815

Contains all the mathematics that computer scientists need to know in one place.

## D-modules and Microlocal Calculus

**Author**: Masaki Kashiwara**Publisher:**American Mathematical Soc.**ISBN:**9780821827666**Category:**Mathematics**Page:**254**View:**3261

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.

## Mathematical Analysis II

**Author**: Claudio Canuto,Anita Tabacco**Publisher:**Springer**ISBN:**3319127578**Category:**Mathematics**Page:**559**View:**8285

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.