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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...

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...

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...

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