Visual Mathematics Library Vismath Volume by Abraham Ralph Shaw Christopher (2 results)

Paperback. Condition: Good. 2nd Printing. Previous Owner Markings (Including Name and Date Neatly Inked to Front Free Endpaper, Highlighting Throughout); Spine Bumped; Spine Slightly Cocked; Moderate Yellowing Due to Age. SUB-TITLE: Part 1: Periodic Behavior; with 342 illustrations. CONTENTS: Preface; Dynamics Hall of Fame 1. Basic Concepts of Dynamics 2. Classical Applications: Limit points in 2D from Newton to Rayleigh 3. Vibrations: Limit cycles in 2d from Rayleigh to Rashevsky 4. Forced Vibrations: Limit cycles in 3D from Rayleigh to Duffing 5. Compound Oscillations: Invariant tori in 3D from Huyghens to Hayashi; Conclusion; Appendix: analytical expressions; Notes; Bibliography; Index. SYNOPSIS: Dynamics is emerging as an important conceptual scheme, unifying the sciences--physical, biological, and social--in a common geometric model. This book, the first of a series of four, introduces the basic concepts of dynamics, through the most important applications from 1600 to 1950. The following volumes describe the recent progress in the subject. All four are written for a general audience, without the assumption of extensive training in math or the sciences. Visual presentation, the hallmark of the Visual Mathematics Library, makes the ideas accessible. ABOUT THE AUTHORS: Ralph H. Abraham is Professor of Mathematics at the University of California at Santa Cruz. He received the Ph.D. in Mathematics at the University of Michigan in 1960, and taught at Berkeley, Columbia, and Princeton before moving to Santa Cruz in 1968. He has held visiting positions in Amsterdam, Paris, and Warwick, and is the author of Linear and Multilinear Algebra, Foundations of Mechanics (with J. E. Marsden), Transversal Mappings and Flows (with J. Robbin) and Manifolds, Tensor Analysis, and Applications (with J. E. Marsden and T. Ratiu). Also, he is the founding editor of these series: Eagle Mathematics, Pure and Applied Global Analysis, and The Visual Mathematics Library. He has been active on the research frontier of dynamics--in mathematics since 1960, and in applications and experiments since 1973. In 1975, he founded the Visual Mathematics Project at the University of California at Santa Cruz, to explore the use of interactive computer graphics in teaching mathematics. Christopher D. Shaw received the B. S. in Biology from Wesleyen University in 1972, then spent five years as a painter, traveling in Europe, Asia, and South America. After returning to the United States, he was Energy Conservation Coordinator for the County of Santa Cruz for two years, where he produced The Energy Conservation Building Manual, a condensation of 350 pages of the California Building Code into a 17 page comic book. Since then, he has illustrated several science texts, and worked in the film industry. Size: 4to - over 9¾" - 12" tall.

Paperback. Condition: As New. SELLER'S NOTE TO INTERNATIONAL (NON CANADA OR USA) BUYERS: Additional shipping charges will be required and requested during the purchase process of this title. Spine Lightly Chipped. SUB-TITLE: Part 3: Global Behavior; with 136 illustrations. CONTENTS: Preface; Historical Introduction; Ch. 1 Global Phase Portraits; Ch. 2 Generic Properties; Ch. 3 Structural Stability; Ch. 4. Heteroclinic Tangles; Ch. 5. Homoclinic Tangles; Ch. 6 Nontrivial Recurrence; Notes; Bibliography; Index. SYNOPSIS: Dynamics is emerging as an important conceptual scheme, unifying the sciences--physical, biological, and social--in a common geometric model. This book, the first of a series of four, introduces the basic concepts of dynamics, through the most important applications from 1600 to 1950. The following volumes describe the recent progress in the subject. All four are written for a general audience, without the assumption of extensive training in math or the sciences. Visual presentation, the hallmark of the Visual Mathematics Library, makes the ideas accessible. ABOUT THE AUTHORS: Ralph H. Abraham is Professor of Mathematics at the University of California at Santa Cruz. He received the Ph.D. in Mathematics at the University of Michigan in 1960, and taught at Berkeley, Columbia, and Princeton before moving to Santa Cruz in 1968. He has held visiting positions in Amsterdam, Paris, and Warwick, and is the author of Linear and Multilinear Algebra, Foundations of Mechanics (with J. E. Marsden), Transversal Mappings and Flows (with J. Robbin) and Manifolds, Tensor Analysis, and Applications (with J. E. Marsden and T. Ratiu). Also, he is the founding editor of these series: Eagle Mathematics, Pure and Applied Global Analysis, and The Visual Mathematics Library. He has been active on the research frontier of dynamics--in mathematics since 1960, and in applications and experiments since 1973. In 1975, he founded the Visual Mathematics Project at the University of California at Santa Cruz, to explore the use of interactive computer graphics in teaching mathematics. Christopher D. Shaw received the B. S. in Biology from Wesleyen University in 1972, then spent five years as a painter, traveling in Europe, Asia, and South America. After returning to the United States, he was Energy Conservation Coordinator for the County of Santa Cruz for two years, where he produced The Energy Conservation Building Manual, a condensation of 350 pages of the California Building Code into a 17 page comic book. Since then, he has illustrated several science texts, and worked in the film industry. Size: 4to - over 9¾" - 12" tall.