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Vector Calculus

Vector Calculus Author Bill Cox
ISBN-10 9780340677414
Release 1998
Pages 244
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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 A. E. Hirst
ISBN-10 9780340614693
Release 1995-01
Pages 134
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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



Vectors in Two or Three Dimensions

Vectors in Two or Three Dimensions Author Ann Hirst
ISBN-10 9780080572017
Release 1995-08-17
Pages 144
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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



Advanced Calculus

Advanced Calculus Author Lynn Harold Loomis
ISBN-10 9789814583954
Release 2014-02-26
Pages 596
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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.



All the Mathematics You Missed

All the Mathematics You Missed Author
ISBN-10 7302090858
Release 2002
Pages 347
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All the Mathematics You Missed has been writing in one form or another for most of life. You can find so many inspiration from All the Mathematics You Missed also informative, and entertaining. Click DOWNLOAD or Read Online button to get full All the Mathematics You Missed book for free.



Advanced Calculus

Advanced Calculus Author Phil Dyke
ISBN-10 9781349140763
Release 1998-11-11
Pages 183
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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 Second Edition

CRC Concise Encyclopedia of Mathematics  Second Edition Author Eric W. Weisstein
ISBN-10 9781420035223
Release 2002-12-12
Pages 3252
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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 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

New Foundations in Mathematics Author Garret Sobczyk
ISBN-10 9780817683856
Release 2012-10-26
Pages 370
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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.



Tensor and Vector Analysis

Tensor and Vector Analysis Author A.T. Fomenko
ISBN-10 9056990071
Release 1998-11-26
Pages 312
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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.



Multivariable Calculus

Multivariable Calculus Author James Stewart
ISBN-10 9781305804425
Release 2015-05-26
Pages 624
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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.



Which Degree Directory Series

Which Degree Directory Series Author
ISBN-10 UCAL:$B337556
Release 2000
Pages
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Which Degree Directory Series has been writing in one form or another for most of life. You can find so many inspiration from Which Degree Directory Series also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Which Degree Directory Series book for free.



Multivariable Calculus

Multivariable Calculus Author L. Corwin
ISBN-10 0824769627
Release 1982-01-29
Pages 546
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Multivariable Calculus has been writing in one form or another for most of life. You can find so many inspiration from Multivariable Calculus also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Multivariable Calculus book for free.



Linearity and the Mathematics of Several Variables

Linearity and the Mathematics of Several Variables Author Stephen A Fulling
ISBN-10 9789813105676
Release 2000-01-22
Pages 456
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Neither a list of theorems and proofs nor a recipe for elementary matrix calculations, this textbook acquaints the student of applied mathematics with the concepts of linear algebra — why they are useful and how they are used. As each concept is introduced, it is applied to multivariable calculus or differential equations, extending and consolidating the student's understanding of those subjects in the process.



Calculus of Several Variables

Calculus of Several Variables Author Serge Lang
ISBN-10 9781461210689
Release 2012-12-06
Pages 619
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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.



Which Degree 1997 Sciences medicine mathematics

Which Degree 1997  Sciences  medicine  mathematics Author Careers Research and Advisory Centre (Cambridge, England)
ISBN-10 1860172571
Release 1996
Pages 700
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Which Degree 1997 Sciences medicine mathematics has been writing in one form or another for most of life. You can find so many inspiration from Which Degree 1997 Sciences medicine mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Which Degree 1997 Sciences medicine mathematics book for free.



Topics in Mathematical Biology

Topics in Mathematical Biology Author Karl Peter Hadeler
ISBN-10 9783319656212
Release 2017-12-20
Pages 353
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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.



Mathematical Analysis II

Mathematical Analysis II Author Claudio Canuto
ISBN-10 9783319127576
Release 2015-02-07
Pages 559
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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.