A Textbook of B.Sc. Mathematics

A Textbook of B.Sc. Mathematics PDF

Author: V Venkateswara Rao, N Krishnamurthy, B V S S Sarma S Anjaneya Sastry & S Ranganatham

Publisher: S. Chand Publishing

Published:

Total Pages:

ISBN-13: 9352836278

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This book has been thoroughly revised according to the syllabus of 1st year's 2nd semester students of all universities in Andhra Pradesh. The revised syllabus is being adopted by all the universities in Andhra Pradesh, following Common Core Syllabus 2015-16 (revised in 2016) based on CBCS. This book strictly covers the new curriculum for 1st year, 2nd semester of the theory as well as practical.

Vector Algebra and Calculus

Vector Algebra and Calculus PDF

Author: Hari Kishan

Publisher: Atlantic Publishers & Dist

Published: 2007-05-19

Total Pages: 452

ISBN-13: 9788126908066

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The Present Book Aims At Providing A Detailed Account Of The Basic Concepts Of Vectors That Are Needed To Build A Strong Foundation For A Student Pursuing Career In Mathematics. These Concepts Include Addition And Multiplication Of Vectors By Scalars, Centroid, Vector Equations Of A Line And A Plane And Their Application In Geometry And Mechanics, Scalar And Vector Product Of Two Vectors, Differential And Integration Of Vectors, Differential Operators, Line Integrals, And Gauss S And Stoke S Theorems.It Is Primarily Designed For B.Sc And B.A. Courses, Elucidating All The Fundamental Concepts In A Manner That Leaves No Scope For Illusion Or Confusion. The Numerous High-Graded Solved Examples Provided In The Book Have Been Mainly Taken From The Authoritative Textbooks And Question Papers Of Various University And Competitive Examinations Which Will Facilitate Easy Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, These Examples Will Acquaint The Readers With The Type Of Questions Usually Set At The Examinations. Furthermore, Practice Exercises Of Multiple Varieties Have Also Been Given, Believing That They Will Help In Quick Revision And In Gaining Confidence In The Understanding Of The Subject. Answers To These Questions Have Been Verified Thoroughly. It Is Hoped That A Thorough Study Of This Book Would Enable The Students Of Mathematics To Secure High Marks In The Examinations. Besides Students, The Teachers Of The Subject Would Also Find It Useful In Elucidating Concepts To The Students By Following A Number Of Possible Tracks Suggested In The Book.

Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory PDF

Author: D. E. Rutherford

Publisher: Courier Corporation

Published: 2004-01-01

Total Pages: 164

ISBN-13: 9780486439037

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Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full discussion of the vector operator "nabla" proceeds to a treatment of potential theory and Laplace's equation. This includes applications to the theories of gravitation, hydrodynamics, and electricity. A brief chapter on four-dimensional vectors concludes the text.

Vector Calculus

Vector Calculus PDF

Author: Paul C. Matthews

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 189

ISBN-13: 1447105974

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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.

Advanced Calculus and Vector Field Theory

Advanced Calculus and Vector Field Theory PDF

Author: Kathleen M. Urwin

Publisher: Elsevier

Published: 2014-06-05

Total Pages: 279

ISBN-13: 1483195333

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THIS book falls naturally into two parts. In Chapters 1-5 the basic ideas and techniques of partial differentiation, and of line, multiple and surface integrals are discussed. Chapters 6 and 7 give the elements of vector field theory, taking the integral definitions of the divergence and curl of a vector field as their starting points; the last chapter surveys very briefly some of the immediate applications of vector field theory to five branches of applied mathematics. Throughout I have given numerous worked examples. In these I have paid particular attention to those points which in my own experience I have found to give most difficulty to students. In the text I have denoted spherical polar coordinates by (/-, 0, ?)9 and cylindrical polar coordinates by (p, ?, ?), so that ? measures the same angle in both systems. Since there is no one standard notation for these systems, the reader will meet different notations in the course of his reading, and in quoting examination questions in the exercises I have kept to the notation of the originals. The Exercises at the end of each section are intended to give practice in the basic techniques just discussed. The Miscellaneous Exercises are more varied, and contain many examination questions.

A Textbook of B.Sc. Mathematics Linear Algebra

A Textbook of B.Sc. Mathematics Linear Algebra PDF

Author: V Venkateswara Rao, N Krishnamurthy, B V S S Sarma S Anjaneya Sastry, S Ranganatham & Dr. R Bharavi Sharma

Publisher: S. Chand Publishing

Published:

Total Pages:

ISBN-13: 9352835271

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This "Textbook of B.Sc Mathematics" for the students studying third year first semester in all universities of Telangana state was first published in the year 1988 and has undergone several editions and many reprints.

Mathematics for Degree Students (For B.Sc. First Year)

Mathematics for Degree Students (For B.Sc. First Year) PDF

Author: Mittal P.K.

Publisher: S. Chand Publishing

Published: 2010

Total Pages: 422

ISBN-13: 8121932408

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Algebra >Functions And Relations >Congruence Of Integers >Some Special Types Of Matrices >Elementary Operations And Inverse Of A Matrix >Linear Dependance Of Vectors >Rank Of A Matrix >Linear Equations >Characteristic Roots Of Vectors >Theory Of Equations