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Skillfully conceived and written text, with many special features, covers functions and graphs, straight lines and conic sections, new coordinate systems, the derivative, patterns for integration, differential equations, much more. Many examples, exercises and practice problems, with answers. Advanced undergraduate/graduate-level. 1984 edition.
The new Sixth Edition of Anton's Calculus is a contemporary text that incorporates the best features of calculus reform, yet preserves the main structure of an established, traditional calculus text. This book is intended for those who want to move slowly into the reform movement. The new edition retains its accessible writing style and a high standard of mathematical precision.
This lively introduction to measure theory and Lebesgue integration is motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems, highlighting the difficulties mathematicians encountered as these ideas were refined. The story begins with Riemann's definition of the integral, and then follows the efforts of those who wrestled with the difficulties inherent in it, until... more...
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This self-contained work introduces the main ideas and fundamental methods of analysis at the advanced undergraduate/graduate level. It provides the historical context out of which these concepts emerged, and aims to develop connections between analysis and other mathematical disciplines (e.g., topology and geometry) as well as physics and engineering. A rigorous exposition, numerous examples, beautiful illustrations, good problems, comprehensive... more...
This textbook is a well-organized treatise on calculus. The author intuitively provides detailed and intensive explanations fulfilling beginner’s needs. The book is both useful as a reference and a self-taught manual of calculus. Chapter 1: Introduction to Calculus; Chapter 2: Derivatives; Chapter 3: Applications of the Derivative; Chapter 4: The Chain Rule; Chapter 5: Integrals; Chapter 6: Exponentials and Logarithms; Chapter 7: Techniques... more...
A First Course in Differential Equations with Modeling Applications, 9th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Using a straightforward,... more...
This book demonstrates the use of the optimization techniques that are becoming essential to meet the increasing stringency and variety of requirements for automotive systems. It shows the reader how to move away from earlier approaches, based on some degree of heuristics, to the use of more and more common systematic methods. Even systematic methods can be developed and applied in a large number of forms so the text collects... more...
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Mathematical models can be used to meet many of the challenges and opportunities offered by modern biology. The description of biological phenomena requires a range of mathematical theories. This is the case particularly for the emerging field of systems biology. Mathematical Methods in Biology and Neurobiology introduces and develops these mathematical structures and methods in a systematic manner. It studies: • discrete... more...
Page: 1-10 results of 1146
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