Tata McGraw - Hill Education
Differential Equations: Theory, Technique And Practice is an authority on ordinary principles of differential equations. The book has uses in various fields including the different branches of science, engineering and applied mathematics, which makes it a very useful text for students from different disciplines for solving day to day practical problems. The applications in the book depict how differential equations can be applied to several problems. The book covers the historical concepts on differential equations and the evolution of the main concepts of differential equations. The chapters also have notes on noted historical persons and their achievements.
There are also longer notes on personalities like Carl Friedrich Gauss, Leonhard Euler and Pierre Simon De Laplace who helped in the development of modern concepts on differential equations. There are also several quality exercises at the end of each chapter and drill exercises to test basic understanding of the topic. Challenge Exercises cover more complex problems requiring deeper understanding of the topic, while Problems For Discussion And Exploration cover critical thinking questions that provoke deep thought. The book includes topics like Qualitative Properties and Theoretical Aspects, Nonlinear Theory, Fourier Series and its Basic Concepts, Laplace Transforms, Second-Order Linear Equations, Numerical Methods, and Calculus of Variations.
Hard questions also contain hints for solving them and the book also has a Student's Solutions Manual and an Instructor's Solution Manual accompanying it. Each chapter also has an additional technology exercise at the end, in order to make the users benefit from computer algebra system.
About The Authors
George F. Simmons is a professor and author. Other books by George F. Simmons are Calculus with Analytic Geometry, Introduction To Topology And Modern Analysis, Calculus Gems and Precalculus Mathematics In A Nutshell. He is known for his engaging, direct and clear writing style. He has over 40 years of experience in writing books on differential equations and calculus. He did his Bachelor's degree in 1946 from California Institute of Technology and his Master's degree in 1948 from the University of Chicago. Later, he went on to complete his doctorate from Yale University in 1957.
Steven G. Krantz is a professor and mathematician. Other books by him include Calculus Demystified, Calculus: Single Variable, Geometric Integration Theory, Elements of Advanced Mathematics, and The Integral: A Crux for Analysis. He did his doctorate from Princeton University in 1974 and completed his graduation in 1971 from the University of California in Santa Cruz. He has written over 125 research papers and 45 books