Schaum's Outline of Advanced Mathematics for Engineers and Scientists
Average customer rating: 4.5 out of 5 stars
  • Inexpensive complete mathematical reference book
  • A good overview but a little too broad in scope
  • essential for any scientist
  • A good review of topics
  • Great SOLVED examples, although the scope may be too large
Schaum's Outline of Advanced Mathematics for Engineers and Scientists
Murray R Spiegel
Manufacturer: McGraw-Hill
ProductGroup: Book
Binding: Paperback

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ASIN: 0070602166

Book Description

This Schaum's Study Guide is the perfect way for scientists and engineers to master the tools of advanced mathematics for scientists and engineers. Fully stocked with solved problemsÑ950 of themÑit shows you how to solve problems that may not have been fully explained in class. Plus you get hundreds of additional problems to use for practice, with answers at the back of the book. Ideal for independent study, brushup before exams, or preparation for professional tests, this Schaums Guide is clear, complete, and well-organized. It's the perfect supplement for any course in advanced mathematics for science and engineering, and a super helper for the math-challenged. This SchaumÕs Outline provides a comprehensive review of advanced mathematical theory and methods youÕll really use in high-tech industries and scientific research.

Customer Reviews:

5 out of 5 stars Inexpensive complete mathematical reference book.......2007-01-09

This is a great concise mathematical reference manual at a great price. I started using this book for reference to complex integrals in graduate school and have sinced used it as my primary mathematical reference sources for all the basic mathematical equations I learned while earning my engineering degree. I recommend it to my students (I teach at a university now) and frequently give it as a gift to graduating high school students (relatives and such) planning to pursue math or engineering related degrees in college. Note that it is a true reference manual and one needs to know how to use the equations in the first place in order to use the book. In many cases this requires coursework except for simple topics like equations for areas of different shapes, etc.

4 out of 5 stars A good overview but a little too broad in scope.......2006-06-06

This outline covers just about all of the applied mathematics that upper level undergraduate and graduate engineers need to know to solve problems. It is a great reference, but its scope is so broad that you really can't use it for anything other than review. The author apparently recognizes that an outline this broad in scope cannot be that instructive either, and limits the introductory portion of each chapter to relevant tables and equations that an engineer/scientist must know to work problems. It is assumed you have other books to function as detailed tutorials. I have to say that the differential equations portions of this outline were far superior to the individual Schaum's outlines for those subjects. Also, the Fourier series and Fourier integral chapters were a bit too theoretical for most engineers, as many of the problems involved proofs or demonstrating properties rather than using the theory to solve problems. However, most chapters have a good mix of exercises - a few proofs, straight numerical problems, and applied exercises such as problems on circuit analysis, for example.

If you need a broad overview of the mathematics that an engineer must know from a problem-solving perspective, with small lessons on each topic, might I also suggest "Engineering Mathematics" and "Advanced Engineering Mathematics" by Stroud. Both of those books lead you by the hand and cover everything from high school through graduate school-level mathematics from an engineer's perspective. This outline would go great with those two books, as this outline can serve as a test of your comprehension of those two books by serving as a source of additional solved problems. I would suggest you get this book and keep it around as one of several good references on applied mathematics.

5 out of 5 stars essential for any scientist.......2005-02-02

I bought this book for self study and it is amazing. For someone interested in furthering their mathematical knowledge and applying it to their research, it is a must have item. Especially because of its low price and the numerous solved exercises that one can follow and easily learn from. Covers everything from PDE's to conformal mapping and everything in between at an approachable level for non-mathematicians.

4 out of 5 stars A good review of topics.......2002-08-26

This book goes through all the basics needed to master advanced mathematics. It covers differential equations; linear differential equations; Laplace transformations; vector analysis; multiple, line and surface integrals with the theorems; Fourier series and integrals; gamma and beta functions, Bessel functions, Legendre and othhogonal functions, partial differential equations, complex variables and conformal mapping, complex inversion formula (for Laplace transformations); and matrices. At the beginning is also a review of the basic terms and rules.

This is a good book to review to refresh your memory of what you studied in school. If you are in school now, this will be a good supplement. As with other books in this series, there are problems you can work to test your knowledge, but not all of them have the answers printed in the book. This is a little bothersome, but the book is still worth the investment.

4 out of 5 stars Great SOLVED examples, although the scope may be too large.......1999-05-05

It's a perfect book for training and reference. Theory is very short, and instead, it contains a lot of examples with solutions. However, the field 'Advanced mathematics' is so wide, that presumably, a reader will only be interested in parts of it.
Integral Transforms of Generalized Functions and Their Applications
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    Integral Transforms of Generalized Functions and Their Applications
    Ram Pathak
    Manufacturer: Taylor & Francis
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 9056995545

    Book Description

    For those who have a background in advanced calculus, elementary topology and functional analysis - from applied mathematicians and engineers to physicists - researchers and graduate students alike - this work provides a comprehensive analysis of the many important integral transforms and renders particular attention to all of the technical aspects of the subject. The author presents the last two decades of research and includes important results from other works.
    With a description in Chapter 1 of foundational, topological information for the study of the distributions (generalized functions) and ultradistributions to be considered, including the structure of these distributions, the author then moves on to an analysis of the transforms and ends with a discussion of the eigenfunction expansion of generalized functions. Applications of the transforms to various mathematical, physical, and engineering problems are given, and open research problems present a challenge to the reader. An extensi

    Schaum's Outline of Laplace Transforms
    Average customer rating: 4 out of 5 stars
    • Laplace Transforms
    • Not for us
    • Learning
    • Laplace Transforms Explained in Plain English
    • It helped me through control systems
    Schaum's Outline of Laplace Transforms
    Murray R Spiegel
    Manufacturer: McGraw-Hill
    ProductGroup: Book
    Binding: Paperback

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    3. Schaum's Outline of Complex Variables Schaum's Outline of Complex Variables
    4. Schaum's Outline of Advanced Mathematics for Engineers and Scientists Schaum's Outline of Advanced Mathematics for Engineers and Scientists
    5. Schaum's Outline of Vector Analysis Schaum's Outline of Vector Analysis

    ASIN: 007060231X

    Book Description

    This book proveds a clear, concise explanation of Laplace transforms, or operational calculus--now necessary knowledge for engineers, physicists, mathematicians and other scientists. Definitions, principles and theorems are illustrated and reinforced by hundreds of fully worked out problems. Also included are chapters on complex variable theory and Fourier series and integrals, so important to discussions of the complex inversion formula.

    Customer Reviews:

    5 out of 5 stars Laplace Transforms.......2007-05-12

    I have several books on Laplace Transforms; but the Schaum's Outline by Murray Spiegel is particularly well done. The book is logically organized with many worked out examples. This is a classic overview of the Laplace Transform.

    2 out of 5 stars Not for us.......2007-05-01

    Not for people who need a book on Laplace Transforms. Yes, lots of practice problems with answers. If you get lost and don't know how to go about a problem well page reference would have been nice.

    4 out of 5 stars Learning.......2007-01-06

    Good overall coverage. nice explanations, and worked examples. id recommend it to anyone wanting to brush up on their transforms before an exam.

    4 out of 5 stars Laplace Transforms Explained in Plain English.......2005-09-23

    This is a valuable reference to keep handy as a reminder about which transform methods best apply to various problems that you need to solve around the office.

    5 out of 5 stars It helped me through control systems.......2003-12-29

    This book taught me both the basics and some of the finer points of LaPlace Transforms to get me past that hurdle so that I could begin focussing on the actual material presented in my BioControl Systems course. Many people got so caught up on the mathematics of LaPlace Transforms that they did not even get to the point where they could begin understanding control systems. I bought this book from Amazon at the beginning of the semester and it turned out to be a life-saver for me. I think that had I not sat down with this book for a weekend and taught myself LaPlace Transforms, I would have not passed that class.

    Granted, this is a single case for a single class of a single bioengineering student; nevertheless, for my part I strongly recommend this book. I was put in a class where the teacher expected the students to have an understanding of the mathematics from the start. The majority of us didn't have that background, and this book clearly, simply, and without too much complication prepared me for my class which was exactly what I wanted it to do. It has been one of the best investments (as far as school books go) of my college career.

    I must leave you with one parting word of wisdom. This book, and I don't think any other book dealing with such an advanced topic, is not easy to read. You will not be able to thoughtlessly master the material. You will work to understand it; your brain may hurt at times. But this book presented the information in a much-more-easy-to-digest manner than any of my college math textbooks, and for that, I am grateful.
    Integral Transforms and their Applications
    Average customer rating: 5 out of 5 stars
    • new chap 19 on numerical inverse laplace transforms
    • Great Introduction
    Integral Transforms and their Applications
    Brian Davies
    Manufacturer: Springer
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 0387953140

    Book Description

    This book is an introduction and reference for the applications of integral transforms to a wide range of common mathematical problems. Emphasis is placed on the development of techniques and on the connection between properties of transforms and the kinds of problems for which they provide tools. Over 400 problems accompany the text, illustrating areas of applications. This third edition has been substantially updated, extended, and reorganized. Graduate students and researchers working in mathematics and physics will find this book useful.

    Customer Reviews:

    5 out of 5 stars new chap 19 on numerical inverse laplace transforms.......2006-11-03

    Chapter 19 is an excellent modern review of the main numerical inverse Laplace transform methods in use today. It does a good job of tying together many of the methods into a unifying theoretical light. Pretty much the only modern review out there, it was written by Dr John Knight, who is a co-author of one of the more important numerical inverse methods (Fourier series method of de Hoog, Knight & Stokes).

    The rest of the book is great too.

    5 out of 5 stars Great Introduction.......2000-08-04

    This well written book teaches by example and will quickly make you proficient in the subject. Davies uses complex analysis to approach the subject which provides a way to visualize the problems.
    Applied and Computational Complex Analysis, Special Functions-Integral Transforms- Asymptotics-Continued Fractions (Wiley Classics Library)
    Average customer rating: Not rated
      Applied and Computational Complex Analysis, Special Functions-Integral Transforms- Asymptotics-Continued Fractions (Wiley Classics Library)
      Peter Henrici
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      Heat Conduction: Lumped Analysis, Integral Transforms, Symbolic Computation
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        Heat Conduction: Lumped Analysis, Integral Transforms, Symbolic Computation
        Renato MacHado Cotta , Mikhail Dimitrov Mikhailov , and M. D. Mikhailov
        Manufacturer: John Wiley & Sons
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        ASIN: 0471956481

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        In this rigorous and thorough analysis three concepts of heat conduction are studied: improved lumped-differential formulations, the generalized integral transform technique, and symbolic computation. Addressing problem formulation, solution methodology and computational implementation, the authors develop an improved lumped-differential formulation for heat conduction problems, present a unified hybrid numerical—analytical solution methodology for linear and nonlinear problems, and provide an introduction to mixed symbolic—numerical computation. Special topics and applications illustrate the theory, including extended surfaces, drying, ablation, conjugated problems and anisotropic media. Sample computer programs, using mixed symbolic—numerical computation, are presented in notebook format, developed within the Mathematica system.
        Integral Transforms and Their Applications
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          Integral Transforms and Their Applications
          Lokenath Debnath
          Manufacturer: CRC
          ProductGroup: Book
          Binding: Hardcover

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          ASIN: 0849394589

          Book Description

          Integral Transforms and Their Applications, provides a systematic , comprehensive review of the properties of integral transforms and their applications to the solution of boundary and initial value problems. Over 750 worked examples, exercises, and applications illustrate how transform methods can be used to solve problems in applied mathematics, mathematical physics, and engineering. The specific applications discussed include problems in differential, integral, and difference equations; electric circuits and networks; vibrations and wave propagation; heat conduction; fractional derivatives and fractional integrals; dynamical systems; signal processing; quantum mechanics; atmosphere and ocean dynamics; physical chemistry; mathematical biology; and probability and statistics. Integral Transforms and Their Applications includes broad coverage the standard material on integral transforms and their applications, along with modern applications and examples of transform methods. It is both an ideal textbook for students and a sound reference for professionals interested in advanced study and research in the field.
          Integral Transforms for Engineers (SPIE Press Monograph Vol. PM66)
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            Integral Transforms for Engineers (SPIE Press Monograph Vol. PM66)
            Larry C. Andrews , and Bhimsen K. Shivamoggi
            Manufacturer: SPIE Publications
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            ASIN: 0819432326

            Book Description

            Integral transform methods provide effective ways to solve a variety of problems arising in the engineering, optical, and physical sciences. Suitable as a self-study for practicing engineers and applied mathematicians and as a textbook in graduate-level courses in optics, engineering sciences, physics, and mathematics.
            Integral Transforms for Engineers and Physicists
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              Integral Transforms for Engineers and Physicists
              P.K. Mittal
              Manufacturer: Har-Anand Publications
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              ASIN: 8124102945
              Introduction to Multidimensional Integrable Equations: The Inverse Spectral Transform in 2+1 Dimensions (Plenum Monographs in Nonlinear Physics)
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                Introduction to Multidimensional Integrable Equations: The Inverse Spectral Transform in 2+1 Dimensions (Plenum Monographs in Nonlinear Physics)
                B.G. Konopelchenko
                Manufacturer: Springer
                ProductGroup: Book
                Binding: Hardcover

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                ASIN: 0306442205

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                This monograph presents the principle ideas, methods, and results concerning the theory of multidimensional solitons. Special attention is paid to the 2-method and the nonlocal Riemann-Hilbert problem method to help the physicist in constructing and solving multidimensional integrable equations.

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