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Mathematical Methods for Engineers and Scientists 2

Vector Analysis, Ordinary Differential Equations and Laplace Transforms

Authors:

  • A discursive style that is readable and easy to follow yet without slighting relevant mathematics
  • Mathematics are presented in physical and/or historical contexts without stifling formal language
  • Numerous clearly stated, completely worked out examples
  • Carefully selected problem sets with answers to help developing students' manipulative skill and confidence without frustrating and overwhelming them
  • Well organized subjects and detailed table of contents to give students an overview of what they are learning
  • Sef-contained chapters so that topics can be selectively studied
  • References to computer algebraic systems for symbolic manipulations, to computer program packages for large scale numerical calculations
  • Includes supplementary material: sn.pub/extras

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XI
  2. Vector Analysis

    1. Front Matter

      Pages 1-1
    2. Vectors

      Pages 3-33
    3. Vector Calculus

      Pages 35-112
    4. Curved Coordinates

      Pages 113-154
  3. Differential Equations and Laplace Transforms

    1. Front Matter

      Pages 200-200
    2. Laplace Transforms

      Pages 271-331
  4. Back Matter

    Pages 333-339

About this book

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Reviews

From the reviews:

"This volume includes vector analysis, ordinary differential equations, and Laplace transforms. … The book is certainly well written, examples are very well explained, there are plenty of homework exercises. … Summing Up: Recommended. Upper-division undergraduates through faculty and researchers." (R. Solecki, Choice, Vol. 45 (1), 2007)

Authors and Affiliations

  • Department of Physics, Pacific Lutheran University, WA 98447, Tacoma, USA

    Kwong-Tin Tang

About the author

K.T. Tang received his B.S. in Engineering Physics and M.A. in Mathematics from University of Washington and his Ph.D. in Physics from Columbia University. He did postdoctoral studies in Chemistry at Berkeley and Harvard. He worked as an engineer at Collins Radio Company and Boeing Company. Dr. Tang regards teaching as his calling, although his research accomplishments are also considerable. He authored/co-authored over 130 research papers in professional journals and a monograph "Asymptotic Methods in Quantum Mechanics". He lectured widely in Asia, Europe, and North America. He had been a long-term visiting scientist at Max-Planck-Institut in Göttingen. He is a recipient of a Distinguished U.S. Senior Scientist Award from Alexander von Humboldt Foundation and a Faculty Excellence Award from Pacific Lutheran University where he is Professor of Physics.

Bibliographic Information

  • Book Title: Mathematical Methods for Engineers and Scientists 2

  • Book Subtitle: Vector Analysis, Ordinary Differential Equations and Laplace Transforms

  • Authors: Kwong-Tin Tang

  • DOI: https://doi.org/10.1007/978-3-540-30270-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2007

  • Hardcover ISBN: 978-3-540-30268-1Published: 30 November 2006

  • Softcover ISBN: 978-3-642-06770-9Published: 12 February 2010

  • eBook ISBN: 978-3-540-30270-4Published: 13 December 2006

  • Edition Number: 1

  • Number of Pages: XI, 339

  • Topics: Theoretical, Mathematical and Computational Physics, Mathematical and Computational Engineering

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access