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

## Vector Calculus

**Author**: Bill Cox,W. Cox**Publisher:**Butterworth-Heinemann**ISBN:**0340677414**Category:**Computers**Page:**244**View:**4593

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

**Author**: A. E. Hirst**Publisher:**Elsevier**ISBN:**0340614692**Category:**Mathematics**Page:**134**View:**8116

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

## All the Mathematics You Missed

*But Need to Know for Graduate School*

**Author**: N.A**Publisher:**清华大学出版社有限公司**ISBN:**9787302090854**Category:**Mathematics**Page:**347**View:**5544

## Advanced Calculus

*Revised*

**Author**: Lynn Harold Loomis,Shlomo Sternberg**Publisher:**World Scientific Publishing Company**ISBN:**9814583952**Category:**Mathematics**Page:**596**View:**2356

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

## Groups

**Author**: Camilla R. Jordan,David A. Jordan**Publisher:**Butterworth-Heinemann**ISBN:**034061045X**Category:**Mathematics**Page:**207**View:**4733

Introduction to mathematical groups

## Mathematical Methods in Science and Engineering

**Author**: Selçuk S. Bayin**Publisher:**John Wiley & Sons**ISBN:**111942545X**Category:**Education**Page:**864**View:**5440

A Practical, Interdisciplinary Guide to Advanced Mathematical Methods for Scientists and Engineers Mathematical Methods in Science and Engineering, Second Edition, provides students and scientists with a detailed mathematical reference for advanced analysis and computational methodologies. Making complex tools accessible, this invaluable resource is designed for both the classroom and the practitioners; the modular format allows flexibility of coverage, while the text itself is formatted to provide essential information without detailed study. Highly practical discussion focuses on the “how-to” aspect of each topic presented, yet provides enough theory to reinforce central processes and mechanisms. Recent growing interest in interdisciplinary studies has brought scientists together from physics, chemistry, biology, economy, and finance to expand advanced mathematical methods beyond theoretical physics. This book is written with this multi-disciplinary group in mind, emphasizing practical solutions for diverse applications and the development of a new interdisciplinary science. Revised and expanded for increased utility, this new Second Edition: Includes over 60 new sections and subsections more useful to a multidisciplinary audience Contains new examples, new figures, new problems, and more fluid arguments Presents a detailed discussion on the most frequently encountered special functions in science and engineering Provides a systematic treatment of special functions in terms of the Sturm-Liouville theory Approaches second-order differential equations of physics and engineering from the factorization perspective Includes extensive discussion of coordinate transformations and tensors, complex analysis, fractional calculus, integral transforms, Green's functions, path integrals, and more Extensively reworked to provide increased utility to a broader audience, this book provides a self-contained three-semester course for curriculum, self-study, or reference. As more scientific disciplines begin to lean more heavily on advanced mathematical analysis, this resource will prove to be an invaluable addition to any bookshelf.

## Calculus of Several Variables

**Author**: Serge Lang**Publisher:**Springer Science & Business Media**ISBN:**1461210682**Category:**Mathematics**Page:**619**View:**3631

This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.

## Topics in Mathematical Biology

**Author**: Karl Peter Hadeler**Publisher:**Springer**ISBN:**331965621X**Category:**Mathematics**Page:**353**View:**7417

This book analyzes the impact of quiescent phases on biological models. Quiescence arises, for example, when moving individuals stop moving, hunting predators take a rest, infected individuals are isolated, or cells enter the quiescent compartment of the cell cycle. In the first chapter of Topics in Mathematical Biology general principles about coupled and quiescent systems are derived, including results on shrinking periodic orbits and stabilization of oscillations via quiescence. In subsequent chapters classical biological models are presented in detail and challenged by the introduction of quiescence. These models include delay equations, demographic models, age structured models, Lotka-Volterra systems, replicator systems, genetic models, game theory, Nash equilibria, evolutionary stable strategies, ecological models, epidemiological models, random walks and reaction-diffusion models. In each case we find new and interesting results such as stability of fixed points and/or periodic orbits, excitability of steady states, epidemic outbreaks, survival of the fittest, and speeds of invading fronts. The textbook is intended for graduate students and researchers in mathematical biology who have a solid background in linear algebra, differential equations and dynamical systems. Readers can find gems of unexpected beauty within these pages, and those who knew K.P. (as he was often called) well will likely feel his presence and hear him speaking to them as they read.

## New Foundations in Mathematics

*The Geometric Concept of Number*

**Author**: Garret Sobczyk**Publisher:**Springer Science & Business Media**ISBN:**0817683844**Category:**Mathematics**Page:**370**View:**9319

The first of its kind, this book uses geometric algebra to present an innovative approach to elementary and advanced mathematics, extending the real number system to include the concept of direction, which underpins much of modern mathematics and physics.

## Vector Calculus

**Author**: Paul C. Matthews**Publisher:**Springer Science & Business Media**ISBN:**1447105974**Category:**Mathematics**Page:**182**View:**4427

Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be self-contained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.

## Which Degree Directory Series

**Author**: N.A**Publisher:**N.A**ISBN:**N.A**Category:**Degrees, Academic**Page:**N.A**View:**3936

## Multivariable Calculus

**Author**: James Stewart**Publisher:**Cengage Learning**ISBN:**1305804422**Category:**Mathematics**Page:**624**View:**9449

Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, these hybrid versions feature the instructional presentation found in the printed text while delivering end-of-section and/or end-of chapter exercises online in Enhanced WebAssign. The result—a briefer printed text that engages students online! James Stewart's CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Eighth Edition of MULTIVARIABLE CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the least prepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

## Vectors in Two or Three Dimensions

**Author**: Ann Hirst**Publisher:**Butterworth-Heinemann**ISBN:**0080572014**Category:**Mathematics**Page:**144**View:**8842

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

## 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:**2809

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.

## Vector Calculus

**Author**: Jerrold Eldon Marsden,Anthony Tromba**Publisher:**Macmillan**ISBN:**9780716749929**Category:**Mathematics**Page:**676**View:**5177

Now in its fifth edition, Vector Calculus helps students gain an intuitive and solid understanding of this important subject. The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world.

## Multivariable Calculus

**Author**: L. Corwin**Publisher:**CRC Press**ISBN:**9780824769628**Category:**Mathematics**Page:**546**View:**4860

## CRC Concise Encyclopedia of Mathematics, Second Edition

**Author**: Eric W. Weisstein**Publisher:**CRC Press**ISBN:**1420035223**Category:**Mathematics**Page:**3252**View:**1017

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.

## Core Maths for A-level

**Author**: Linda Bostock,Suzanne Chandler**Publisher:**Trans-Atlantic Publications**ISBN:**9780748717798**Category:**Matemáticas**Page:**873**View:**5135

Assuming GCSE as a starting point (National Curriculum Level 7/8), this A-Level mathematics text provides transitional material in the early chapters for students from a variety of mathematical backgrounds, and caters for a wide spread of ability. It contains the core for A-Level mathematics as outlined in all examination board syllabuses, and additional coverage is included to cater for the pure maths content of A-Level mathematics courses combining pure maths with mechanics / statistics / decision (discrete) maths, and the first half of A-Level pure mathematics.

## Vector Analysis and Cartesian Tensors

**Author**: D. E. Bourne,P. C. Kendall**Publisher:**Academic Press**ISBN:**1483260704**Category:**Mathematics**Page:**266**View:**6425

Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.

## Math, Better Explained

*Learn to Unlock Your Math Intuition*

**Author**: Kalid Azad**Publisher:**CreateSpace**ISBN:**9781479186723**Category:**Mathematics**Page:**95**View:**4761

"Math, Better Explained" is a clear, intuitive guide to math topics essential for high school, college and beyond. Whether you're a student, parent, or teacher, this book is your key to unlocking the aha! moments that make math truly click -- and make learning enjoyable. The book intentionally avoids mindless definitions and focuses on building a deep, natural intuition so you can integrate the ideas into your everyday thinking. Its explanations on the natural logarithm, imaginary numbers, exponents and the Pythagorean Theorem are among the most-visited in the world. The topics in Math, Better Explained include: 1. Developing Math Intuition 2. The Pythagorean Theorem 3. Pythagorean Distance 4. Radians and Degrees 5. Imaginary Numbers 6. Complex Arithmetic 7. Exponential Functions & e 8. The Natural Logarithm (ln) 9. Interest Rates 10. Understanding Exponents 11. Euler's Formula 12. Introduction To Calculus The book is written as the author wishes math was taught: with a friendly attitude, vivid illustrations and a focus on true understanding. Learn right, not rote! Selected testimonials: "I have several books on calculus (Calculus for Dummys, Math for the Millions, etc. etc. - never was able to read them) but your explanation is what I have needed all these years." - D. Hogg, Former Principal "This is a great explanation! I am 49 years old and have never known what e is all about. It is thanks to your article that I get it and now can explain it to my son who is 13 years old..." - C. Dhaveji "I've been following you for nearly two years...I find the intuitive approach to the subject and lucid writing unparalleled." - D. Ezell