David Bachman – författare

Your INTEGRAL tool for mastering ADVANCED CALCULUS

Interested in going further in calculus but don't where to begin? No problem! With Advanced Calculus Demystified, there's no limit to how much you will learn.

Beginning with an overview of functions of multiple variables and their graphs, this book covers the fundamentals, without spending too much time on rigorous proofs. Then you will move through more complex topics including partial derivatives, multiple integrals, parameterizations, vectors, and gradients, so you'll be able to solve difficult problems with ease. And, you can test yourself at the end of every chapter for calculated proof that you're mastering this subject, which is the gateway to many exciting areas of mathematics, science, and engineering.

This fast and easy guide offers:

Simple enough for a beginner, but challenging enough for a more advanced student, Advanced Calculus Demystified is one book you won't want to function without!

Your INTEGRAL tool for mastering ADVANCED CALCULUS

Interested in going further in calculus but don''t where to begin? No problem! With Advanced Calculus Demystified, there''s no limit to how much you will learn.

Beginning with an overview of functions of multiple variables and their graphs, this book covers the fundamentals, without spending too much time on rigorous proofs. Then you will move through more complex topics including partial derivatives, multiple integrals, parameterizations, vectors, and gradients, so you''ll be able to solve difficult problems with ease. And, you can test yourself at the end of every chapter for calculated proof that you''re mastering this subject, which is the gateway to many exciting areas of mathematics, science, and engineering.

This fast and easy guide offers:

Simple enough for a beginner, but challenging enough for a more advanced student, Advanced Calculus Demystified is one book you won''t want to function without!

The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the advanced undergraduate level.  The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually.

Each new concept is presented with a natural picture that students can easily grasp; algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions.

The second edition includes a completely new chapter on differential geometry, as well as other new sections, new exercises and new examples. Additional solutions to selected exercises have also been included. The work is suitable for use as the primary textbook for a sophomore-level class in vector calculus, as well as for more upper-level courses in differential topology and differential geometry. 

We live in a three-dimensional world.  To design objects for everyday living, users must learn how to create in three dimensions.  For precise modern designs that must conform to specific tolerances, we use computers to create a digital model first, and then pass that model on to a machine, such as a CNC router or 3D printer for fabrication.   

      There are many software packages that are used to create digital models.  One such package that is popular for industrial, product, and graphic design and architecture is Rhinoceros 3D, or “Rhino.”  Grasshopper is a visual scripting platform for Rhino.  With it, the user can build precise, customizable Rhino objects by simply dragging boxes around the screen and connecting them with virtual “wires.”  No knowledge of programming is necessary! 

       This work provides an introduction to modeling objects with Grasshopper.  Through a series of examples and tutorials, readers will learn how to build complex objects by combining simple components.  Applications include both NURBS surface modeling and mesh manipulation techniques.

      In Part I, Bachman offers a brief overview of scripting with Grasshopper, with simple examples used to introduce the reader to the most common Grasshopper components.  In Part II, more complicated Grasshopper scripts are presented, showcasing the variety of objects readers can create.  These examples were carefully chosen so that readers can see how the concepts from Part I can be put together to create increasingly complex designs.  Finally, Part III features a reference guide from Grasshopper’s own help files containing descriptions of some of the most common Grasshopper components.

We live in a three-dimensional world.  To design objects for everyday living, users must learn how to create in three dimensions.  For precise modern designs that must conform to specific tolerances, we use computers to create a digital model first, and then pass that model on to a machine, such as a CNC router or 3D printer for fabrication.   

      There are many software packages that are used to create digital models.  One such package that is popular for industrial, product, and graphic design and architecture is Rhinoceros 3D, or “Rhino.”  Grasshopper is a visual scripting platform for Rhino.  With it, the user can build precise, customizable Rhino objects by simply dragging boxes around the screen and connecting them with virtual “wires.”  No knowledge of programming is necessary! 

       This work provides an introduction to modeling objects with Grasshopper.  Through a series of examples and tutorials, readers will learn how to build complex objects by combining simple components.  Applications include both NURBS surface modeling and mesh manipulation techniques.

      In Part I, Bachman offers a brief overview of scripting with Grasshopper, with simple examples used to introduce the reader to the most common Grasshopper components.  In Part II, more complicated Grasshopper scripts are presented, showcasing the variety of objects readers can create.  These examples were carefully chosen so that readers can see how the concepts from Part I can be put together to create increasingly complex designs.  Finally, Part III features a reference guide from Grasshopper’s own help files containing descriptions of some of the most common Grasshopper components.