Charles Roberts – författare

Suitable for those new to nonlinear editing as well as experienced editors new to Final Cut Express, this book offers an introduction to Apple's editing software package and the digital video format in general. It teaches how to use Final Cut Express in the real world and offers an overview of the digital video format.

Painting a complete picture of the history of the Everglades, The Geology of the Everglades and Adjacent Areas brings together theperspectives of various geoscientists to provides an overview of the geology, paleontology, and paleoceanography of the Everglades region. It emphasizes the upper 300 m of the geologic framework of the area and gives insight into the local stratigraphy, geomorphology, lithology, and historical geology. Building upon the geologic nomenclature and stratigraphic sequences set down by the Florida Geological Survey, the book includes redefinitions of some previously poorly known formations, the chronological fine-tuning of other poorly known units, and the description of 7 new members.Designed to be a field guide as well as a reference, the book is illustrated with photographs of exposed geologic sections, stratotype localities, collection sites, and details of interesting fossil beds. It contains 124 full-page illustrations with 69 black and white figures, 43 black and white plates of index fossils, and 12 full color plates of simulated space shuttle images of Florida’s ancient seas and coastlines. This text is accompanied by downloadable resources that feature animated maps along with a Power Point presentation of simulated space shuttle imagery of Eocene-to-Holocene Florida. The book is arranged by geologic time, ranging from the late Eocene, Oligocene, Miocene, Pliocene, and Pleistocene to the Holocene. The authors place lithostratigraphic descriptions of the geologic formations and members into this chronological framework, along with the paleogeography of the seas and lakes within which they were deposited. They also emphasize biostratigraphy with over 1000 index fossils listed and over 400 illustrated. The book brings together information previously spread through innumerable publications, saving you the time and effort it would take to assemble and cross-reference multiple sources.

Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It also covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix, the author includes some basic guidelines to follow when writing proofs.This new edition includes more than 125 new exercises in sections titled More Challenging Exercises. Also, numerous examples illustrate in detail how to write proofs and show how to solve problems. These examples can serve as models for students to emulate when solving exercises. Several biographical sketches and historical comments have been included to enrich and enliven the text. Written in a conversational style, yet maintaining the proper level of mathematical rigor, this accessible book teaches students to reason logically, read proofs critically, and write valid mathematical proofs. It prepares them to succeed in more advanced mathematics courses, such as abstract algebra and analysis.

In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a computer and interpreting that solution are fairly elementary. Bringing the computer into the classroom, Ordinary Differential Equations: Applications, Models, and Computing emphasizes the use of computer software in teaching differential equations.Providing an even balance between theory, computer solution, and application, the text discusses the theorems and applications of the first-order initial value problem, including learning theory models, population growth models, epidemic models, and chemical reactions. It then examines the theory for n-th order linear differential equations and the Laplace transform and its properties, before addressing several linear differential equations with constant coefficients that arise in physical and electrical systems. The author also presents systems of first-order differential equations as well as linear systems with constant coefficients that arise in physical systems, such as coupled spring-mass systems, pendulum systems, the path of an electron, and mixture problems. The final chapter introduces techniques for determining the behavior of solutions to systems of first-order differential equations without first finding the solutions.Designed to be independent of any particular software package, the book includes a CD-ROM with the software used to generate the solutions and graphs for the examples. The appendices contain complete instructions for running the software. A solutions manual is available for qualifying instructors.

Suitable for those new to nonlinear editing as well as experienced editors new to Final Cut Express, this book is an introduction to Apple's editing software package and the digital video format in general. You will come away with not only an in-depth knowledge of how to use Final Cut Express, but also a deeper understanding of the craft of editing and the underlying technical processes that will serve you well in future projects. Workflow, editing techniques, compositing, special effects, audio tools, and output are explained in clear, jargon-free terms. The book's emphasis is always on using Final Cut Express in the real world, and as such it is the only book to go beyond the interface to address crucial issues like proper setup, system configuration, hardware, the Mac operating system, what equipment to purchase, and troubleshooting common problems. Armed with this information, you will sidestep problems and complete projects of exceptional quality.

Painting a complete picture of the history of the Everglades, The Geology of the Everglades and Adjacent Areas brings together theperspectives of various geoscientists to provides an overview of the geology, paleontology, and paleoceanography of the Everglades region. It emphasizes the upper 300 m of the geologic framework of the area and gives insight into the local stratigraphy, geomorphology, lithology, and historical geology. Building upon the geologic nomenclature and stratigraphic sequences set down by the Florida Geological Survey, the book includes redefinitions of some previously poorly known formations, the chronological fine-tuning of other poorly known units, and the description of 7 new members.Designed to be a field guide as well as a reference, the book is illustrated with photographs of exposed geologic sections, stratotype localities, collection sites, and details of interesting fossil beds. It contains 124 full-page illustrations with 69 black and white figures, 43 black and white plates of index fossils, and 12 full color plates of simulated space shuttle images of Florida’s ancient seas and coastlines. This text is accompanied by downloadable resources that feature animated maps along with a Power Point presentation of simulated space shuttle imagery of Eocene-to-Holocene Florida. The book is arranged by geologic time, ranging from the late Eocene, Oligocene, Miocene, Pliocene, and Pleistocene to the Holocene. The authors place lithostratigraphic descriptions of the geologic formations and members into this chronological framework, along with the paleogeography of the seas and lakes within which they were deposited. They also emphasize biostratigraphy with over 1000 index fossils listed and over 400 illustrated. The book brings together information previously spread through innumerable publications, saving you the time and effort it would take to assemble and cross-reference multiple sources.

Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It also covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix, the author includes some basic guidelines to follow when writing proofs.This new edition includes more than 125 new exercises in sections titled More Challenging Exercises. Also, numerous examples illustrate in detail how to write proofs and show how to solve problems. These examples can serve as models for students to emulate when solving exercises. Several biographical sketches and historical comments have been included to enrich and enliven the text. Written in a conversational style, yet maintaining the proper level of mathematical rigor, this accessible book teaches students to reason logically, read proofs critically, and write valid mathematical proofs. It prepares them to succeed in more advanced mathematics courses, such as abstract algebra and analysis.