About Vectors

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( su 18 valutazioni fornite da GoodReads )
 
9780486604893: About Vectors

No calculus needed, but this is not an elementary book. Introduces vectors, algebraic notation and basic ideas, vector algebra and scalars. Includes 386 exercises.

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L'autore:

Banesh Hoffmann (1906-86) received his PhD from Princeton University. At Princeton's Institute for Advanced Study, he collaborated with Albert Einstein and Leopold Infeld on the classic paper "Gravitational Equations and the Problem of Motion." Hoffmann taught at Queens College for more than 40 years.

Contenuti:

1 INTRODUCING VECTORS 1. Defining a vector 2. The parallelogram law 3. Journeys are not vectors 4. Displacements are vectors 5. Why vectors are important 6. The curious incident of the vectorial tribe 7. Some awkward questions 2 ALGEBRAIC NOTATION AND BASIC IDEAS 1. Equality and addition 2. Multiplication by numbers 3. Subtraction 4. Speed and velocity 5. Acceleration 6. Elementary statics in two dimensions 7. Couples 8. The problem of location. Vector fields 3 VECTOR ALGEBRA 1. Components 2. Unit orthogonal triads 3. Position vectors 4. Coordinates 5. Direction cosines 6. Orthogonal projections 7. Projections of areas 4 SCALARS. SCALAR PRODUCTS 1. Units and scalars 2. Scalar products 3. Scalar products and unit orthogonal triads 5 VECTOR PRODUCTS. QUOTIENTS OF VECTORS 1. Areas of parallelograms 2. "Cross products of i, j, and k" 3. "Components of cross products relative to i, j, and k" 4. Triple products 5. Moments 6. Angular displacements 7. Angular velocity 8. Momentum and angular momentum 9. Areas and vectorial addition 10. Vector products in right- and left-handed reference frames 11. Location and cross products 12. Double cross 13. Division of vectors 6 TENSORS 1. How components of vectors transform 2. The index notation 3. The new concept of a vector 4. Tensors 5. Scalars. Contraction 6. Visualizing tensors 7. Symmetry and antisymmetry. Cross products 8. Magnitudes. The metrical tensor 9. Scalar products 10. What then is a vector? INDEX

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Hoffmann, Banesh
Editore: Dover Publications
ISBN 10: 0486604896 ISBN 13: 9780486604893
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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486604896 Ships promptly from Texas. Codice libro della libreria GHT8634IVCM072616H0252

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Banesh Hoffmann
Editore: Dover Publications Inc., United States (1975)
ISBN 10: 0486604896 ISBN 13: 9780486604893
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Descrizione libro Dover Publications Inc., United States, 1975. Paperback. Condizione libro: New. 203 x 142 mm. Language: English . Brand New Book. From his unusual beginning in -Defining a vector- to his final comments on -What then is a vector?- author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks, as well as collateral reading in all courses that deal with vectors. Major topics include vectors and the parallelogram law; algebraic notation and basic ideas; vector algebra; scalars and scalar products; vector products and quotients of vectors; and tensors. The author writes with a fresh, challenging style, making all complex concepts readily understandable. Nearly 400 exercises appear throughout the text. Professor of Mathematics at Queens College at the City University of New York, Banesh Hoffmann is also the author of The Strange Story of the Quantum and other important books. This volume provides much that is new for both students and their instructors, and it will certainly generate debate and discussion in the classroom. Codice libro della libreria AAC9780486604893

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Descrizione libro 1975. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486604893

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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486604896

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Banesh Hoffmann
Editore: Dover Publications Inc., United States (1975)
ISBN 10: 0486604896 ISBN 13: 9780486604893
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Descrizione libro Dover Publications Inc., United States, 1975. Paperback. Condizione libro: New. 203 x 142 mm. Language: English . Brand New Book. From his unusual beginning in -Defining a vector- to his final comments on -What then is a vector?- author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks, as well as collateral reading in all courses that deal with vectors. Major topics include vectors and the parallelogram law; algebraic notation and basic ideas; vector algebra; scalars and scalar products; vector products and quotients of vectors; and tensors. The author writes with a fresh, challenging style, making all complex concepts readily understandable. Nearly 400 exercises appear throughout the text. Professor of Mathematics at Queens College at the City University of New York, Banesh Hoffmann is also the author of The Strange Story of the Quantum and other important books. This volume provides much that is new for both students and their instructors, and it will certainly generate debate and discussion in the classroom. Codice libro della libreria AAC9780486604893

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Descrizione libro Dover Publications, 1975. Paperback. Condizione libro: New. Codice libro della libreria 0486604896

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Descrizione libro 1975. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486604893

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Descrizione libro Paperback. Condizione libro: New. Codice libro della libreria 972659

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Descrizione libro Condizione libro: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-ING-00035145

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BANESH HOFFMANN
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ISBN 10: 0486604896 ISBN 13: 9780486604893
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Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 144 pages. Dimensions: 8.0in. x 5.6in. x 0.4in.From his unusual beginning in Defining a vector to his final comments on What then is a vector author Banesh Hoffmann has written a bookthat is provocative and unconventional. In hisemphasis onthe unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatmentthat can serve asa supplement and corrective to textbooks, as well ascollateral reading in all courses that deal with vectors. Major topics include vectors andthe parallelogram law; algebraic notation and basic ideas;vector algebra;scalars and scalar products; vector products and quotients of vectors; andtensors. The author writes with a fresh, challenging style, making all complex concepts readily understandable. Nearly 400 exercises appear throughout the text. Professor of Mathematics at Queens College at the City University of New York, Banesh Hoffmann is also the author of The Strange Story of the Quantum and other important books. This volume provides much that is new for both students and their instructors, and it will certainly generate debate and discussion in the classroom. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486604893

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