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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 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



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



Analysis

Analysis Author Ekkehard Kopp
ISBN-10 9780080928722
Release 1996-08-30
Pages 200
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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.



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.



Calculus and Analysis in Euclidean Space

Calculus and Analysis in Euclidean Space Author Jerry Shurman
ISBN-10 9783319493145
Release 2017-01-01
Pages 507
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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.



Vector Calculus

Vector Calculus Author Susan Jane Colley
ISBN-10 0321780655
Release 2012
Pages 603
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Normal 0 false false false Vector Calculus, Fourth Edition, uses the language and notation of vectors and matrices to teach multivariable calculus. It is ideal for students with a solid background in single-variable calculus who are capable of thinking in more general terms about the topics in the course. This text is distinguished from others by its readable narrative, numerous figures, thoughtfully selected examples, and carefully crafted exercise sets. Colley includes not only basic and advanced exercises, but also mid-level exercises that form a necessary bridge between the two.



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.



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.



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.



Subject Guide to Books in Print

Subject Guide to Books in Print Author
ISBN-10 STANFORD:36105025888558
Release 2003
Pages
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Subject Guide to Books in Print has been writing in one form or another for most of life. You can find so many inspiration from Subject Guide to Books in Print also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Subject Guide to Books in Print book for free.



New Foundations in Mathematics

New Foundations in Mathematics Author Garret Sobczyk
ISBN-10 9780817683856
Release 2012-10-26
Pages 370
Download Link Click Here

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.



Math Better Explained

Math  Better Explained Author Kalid Azad
ISBN-10 1479186724
Release 2013-05-03
Pages 95
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"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



Mathematics Teaching

Mathematics Teaching Author
ISBN-10 UOM:39015021435915
Release 1966
Pages
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Mathematics Teaching has been writing in one form or another for most of life. You can find so many inspiration from Mathematics Teaching also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematics Teaching book for free.



Courses of Study

Courses of Study Author Cornell University
ISBN-10 CORNELL:31924067934814
Release 1994
Pages
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Courses of Study has been writing in one form or another for most of life. You can find so many inspiration from Courses of Study also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Courses of Study book for free.



Volterra and Integral Equations of Vector Functions

Volterra and Integral Equations of Vector Functions Author Martin Vath
ISBN-10 0824703421
Release 2000-01-03
Pages 364
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"Develops and applies topological and algebraic methods to study abstract Volterra operators and differential equations arising in models for ""real-world"" phenomena in physics, biology, and a host of other disciplines. Presents completely new results that appear in book form for the first time."



Generalized Analytic Automorphic Forms in Hypercomplex Spaces

Generalized Analytic Automorphic Forms in Hypercomplex Spaces Author Rolf Sören Krausshar
ISBN-10 3764370599
Release 2004-02-23
Pages 167
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"The book is directed to researchers as well as to graduate and postgraduate students with interest in the fields of the theory of generalized analytic functions in higher dimensional spaces, analytic number theory, function spaces and boundary value problems of partial differential equations of conformally flat manifolds, and some closely related fields in physics, such as instanton theory and quantum gravity."--BOOK JACKET.