This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. For courses in art and design foundations, interior design, fashion design, merchandising, graphic and communications design, and design marketing. The first color theory textbook ever! An in-depth look at color and how we perceive it. Color: How to Use It is the first in-depth color theory textbook that examines color interactions and how they can be manipulated in art and design. It is the first textbook on color theory that thoroughly explores color relationships and the compositional elements that completely change how we perceive color. It is the only textbook that is targeted toward the color theory student, with in-depth explanations of all elements of 2-D compositions, lessons designed to build skills, exercises, and a teacher’s manual with objectives and assessment guides for each exercise in every chapter. Color: How to Use It makes learning color theory easier than ever. Organized in a clear and concise fashion, this book explains color theory through a gradual process. Chapters examine the history of color, color theory, the definitions of terms, color relationships, and the more complex interactions that come about from the elements of composition. The text aims to help readers (1) learn to see color, color relationships, and elements of composition that affect the perception of color; (2) understand how altering just one color or compositional element will change the dynamics of a composition; and (3) gain skills in using color and composition to their greatest potential in 2-D design. Each chapter offers another piece of the compositional puzzle. Graphic illustrations, fine art, and photographs clarify how the chapter concepts affect color usage.

This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics. Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on Rn. Chapters on Banach spaces, Lp spaces, and Hilbert spaces showcase major results such as the Hahn–Banach Theorem, Hölder’s Inequality, and the Riesz Representation Theorem. An in-depth study of linear maps on Hilbert spaces culminates in the Spectral Theorem and Singular Value Decomposition for compact operators, with an optional interlude in real and complex measures. Building on the Hilbert space material, a chapter on Fourier analysis provides an invaluable introduction to Fourier series and the Fourier transform. The final chapter offers a taste of probability. Extensively class tested at multiple universities and written by an award-winning mathematical expositor, Measure, Integration & Real Analysis is an ideal resource for students at the start of their journey into graduate mathematics. A prerequisite of elementary undergraduate real analysis is assumed; students and instructors looking to reinforce these ideas will appreciate the electronic Supplement for Measure, Integration & Real Analysis that is freely available online. For errata and updates, visit https://measure.axler.net/