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“One good thing, if it is brief, it is twice as good. Even a bad thing, if it is short, it is not as bad.” Baltasar Gracián y Morales (1601-1658).
“We now have simple, tested, methods to solve nonlinear differential equations, and most equations in engineering and science are nonlinear. Yet, we continue to do our students a disservice: We send them to take courses to math departments plagued by faculty obsessed with outdated, decades-old, linear methods and without any examples or programming training. Let us prepare our students for the future and teach them nonlinear methods in engineering colleges.” Langid
A new book that introduces modern analytical methods to solve nonlinear differential equations:
DIFFERENTIAL EQUATIONS
Applied Mathematical Modeling, Nonlinear Analysis, and Computer Simulation in Engineering and Science
Sergio E. Serrano, Ph.D.
AVAILABLE AT ONLINE BOOKSTORES EVERYWHERE
Amazon.com
An introduction to ordinary differential equations and systems of ordinary differential equations, including new analytical methods to solve nonlinear equations, mathematical modeling, computer programming, computer graphics with Maple, and applications in science and engineering.
“… a new textbook that will thoroughly revolutionize the teaching and learning of differential equations with the vital goal of student retention always in sight.”
Dr. Randolph Rach, original coauthor of the Adomian’s Decomposition Method.
New modern methods to solve nonlinear differential equations.
■ Integrated, balanced presentation of model development, solution methods, computer implementation, and analysis of system’s response.
■ Designed to increase engineering and science student retention.
■ Mathematical and computer modeling with MAPLE. No prior knowledge of Maple required.
■ Emphasis on problem solving over mathematical rigorousness.
■ Clear and simple presentation of concepts with multitude of examples: 125 solved examples, 70 computer programs, 146 proposed problems, 17 illustrations, 118 computer graphs, answers to problems, detailed bibliography.
■ Preference of general, systematic, analytical methods over complex numerical methods.
■ Self contained. Except for calculus, all necessary background is included.
Published by HydroScience Inc., ISBN: 9780988865211, hard cover, 250 pages.
TEXTBOOK EXAMINATION COPIES. Please send an email to the publisher, hydroscience70@gmail.com, with the following information: Course number and title, school or college, semester to be offered, enrollment, and current textbook.
Classroom transparencies and solutions set available to qualified instructors who officially adopt it.
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A simple, integrated, treatment of probability and statistics:
ENGINEERING UNCERTAINTY AND RISK ANALYSIS
A Balanced Approach to Probability, Statistics, Stochastic Modeling, and Stochastic Differential Equations
SECOND EDITION, COMPLETELY REVISED
Sergio E. Serrano, Ph.D.
AVAILABLE AT ONLINE BOOKSTORES EVERYWHERE
Amazon.com
An integrated coverage of probability, statistics, Monte Carlo simulation, inferential statistics, design of experiments, systems reliability, fitting random data to models, analysis of variance, stochastic processes, and stochastic differential equations for engineers and scientists. The author for first time presents an introduction to the broad field of applied engineering uncertainty analysis in one comprehensive, friendly, coverage.
Each concept is illustrated with several examples of relevance in engineering applications (no cards, colored balls, or dice):
■ 478 pages; 177 solved examples; 147 proposed problems; 174 illustrations, 69 short computer programs; and 51 data and statistical tables.
■ Clear presentation of concepts. Practical engineering examples. No cards, no dice, no colored balls.
■ Prepares the reader for today’s problems in engineering analysis, modeling,and design under uncertainty.
■ This edition includes new research advances in nonlinear stochastic equations; simple methods to solve and graph boundary-value problems in several dimensions.
■ Integrated treatment of probability, statistics, and stochastic modeling.
■ Includes numerical (Monte Carlo) simulations and analytical modeling.
■ Intuitive and graphical introduction to stochastic processes.
■ Practical introduction to applied stochastic differential equations.
Published by HydroScience Inc., ISBN: 0-9655643-1-1, 478 pages, 177.
TEXTBOOK EXAMINATION COPIES. Please send an email to the publisher, hydroscience70@gmail.com, with the following information: Course number and title, school or college, semester to be offered, enrollment, and current textbook.
Classroom transparencies and solutions set available to qualified instructors who officially adopt it.
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A book that combines water quantity with water quality:
HYDROLOGY
for Engineers, Geologists, and Environmental Professionals.
An Integrated Treatment of Surface, Subsurface, and Contaminant Hydrology
SECOND EDITION, COMPLETELY REVISED
Sergio E. Serrano, Ph.D.
AVAILABLE AT ONLINE BOOKSTORES EVERYWHERE
Amazon.com
An integrated coverage of the subjects of surface, subsurface, and contaminant hydrology. The author presents the fundamental concepts of physical and contaminant hydrology of watersheds, rivers, lakes, soils, and aquifers in an easy and accessible manner to the environmental professional.
■ Prepares the reader to analyze today’s environmental problems.
■ Many practical examples and solved problems illustrate the concepts. This edition includes clear presentation of concepts, consistent notation, 124 solved examples, 187 proposed problems, 152 illustrations, 71 tables, 46 short computer programs in MAPLE, answers to problems, extensive bibliography.
■ State of the art research on groundwater and contaminant transport modeling is explained in a clear fashion.
■ Recent research developments in nonlinear hydrologic science and simulation are included in this new edition.
■ New solutions of nonlinear infiltration are presented with simple numerical applications.
■ New developments in analytical decomposition are presented as simple and practical means to complex nonlinear hydrologic problems, such as regional groundwater flow modeling in homogeneous or heterogeneous media, regular or irregularly-shaped domains, steady or transient problems, multiple pumping wells, and nonlinear flow.
■ 125 solved examples, 70 computer programs, 146 proposed problems, 17 illustrations, 118 computer graphs, answers to problems, detailed bibliography.
■ New applications to the simulation of nonlinear decay, nonlinear sorption, and unsaturated-saturated zones contaminant propagation are presented along with simple programs.
Published by HydroScience Inc., ISBN: 0-9655643-4-2, 590 pages.
TEXTBOOK EXAMINATION COPIES. Please send an email to the publisher, hydroscience70@gmail.com, with the following information: Course number and title, school or college, semester to be offered, enrollment, and current textbook.
Classroom transparencies and solutions set available to qualified instructors who officially adopt it.
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