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Linear Algebra Done Right


Sheldon Axler - 1995
    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

Practical Electronics for Inventors


Paul Scherz - 1998
    Instead, it tells you-and shows you-what basic and advanced electronics parts and components do, and how they work. Chock-full of illustrations, Practical Electronics for Inventors offers over 750 hand-drawn images that provide clear, detailed instructions that can help turn theoretical ideas into real-life inventions and gadgets.

Chemistry: The Central Science


Theodore L. Brown - 1977
    This text offers students an integrated educational solution to the challenges of the chemistry course with an expanded media programme that works in concert with the text, helping with problem solving, visualization and applications.

Drugs and Society


Glen R. Hanson - 1995
    Written In An Objective And User-Friendly Manner, This Best-Selling Text Continues To Captivate Students By Incorporating Personal Drug Use And Abuse Experiences And Perspectives Throughout. Statistics And Chapter Content Have Been Revised To Include The Latest Information On Current Topics.

The Nature of Code


Daniel Shiffman - 2012
    Readers will progress from building a basic physics engine to creating intelligent moving objects and complex systems, setting the foundation for further experiments in generative design. Subjects covered include forces, trigonometry, fractals, cellular automata, self-organization, and genetic algorithms. The book's examples are written in Processing, an open-source language and development environment built on top of the Java programming language. On the book's website (http://www.natureofcode.com), the examples run in the browser via Processing's JavaScript mode.

Calculus


Michael Spivak - 1967
    His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

Universe


Roger A. Freedman - 1998
    It places the basics of astronomy and the process of science within the grasp of introductory students. Package Universe, Eighth Edition with FREE Starry Night CD!use Package ISBN 0-7167-9564-7 SPLIT VOLUMESIn addition to the complete 28-chapter version of Universe, two shorter versions are also available:Universe: The Solar System, Third Edition(Chapters 1-16 and 28)0-7167-9563-9; w/FREE Starry Night CD, 0-7167-9562-0Universe: Stars and Galaxies, Third Edition(Chapters 1-8 which includes a two-chapter overview of the solar system) and Chapters 16-28)0-7167-9561-2; w/FREE Starry Night CD, 0-7167-9565-5

Mathematical Analysis


Tom M. Apostol - 1957
    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

Contemporary Orthodontics


William R. Proffit - 1986
    Line drawings and more than 1,000 new color images illustrate concepts more clearly than ever. This book includes detailed information on diagnosis, treatment planning concepts, related problems or controversies, and current treatment procedures, including the role of orthodontics in comprehensive treatment of patients with multiple problems.A NEW full-color design includes a total of more than 1,400 clinical photographs and illustrations.Application of the soft tissue paradigm to modern orthodontic diagnosis and treatment planning.Critical evaluation of controversies in treatment approaches and treatment timing.NEW information on the use of cone beam CT for 3-dimensional evaluation of dental and facial dimensions and relationships, and 3-D superimpositions to evaluate treatment response.Problem-oriented treatment planning, with use of digital technology to develop a database that can feed through to the treatment plan.Updated content on biomechanics to help you plan efficient use of modern orthodontic appliance systems.NEW skeletal anchorage techniques using bone anchors and mini screws.Chapters on adult treatment featuring the sequencing of multidisciplinary treatment, the new approach to lingual orthodontics, and a discussion of surgical vs. orthodontic treatment options.Full-color design includes hundreds of clinical photographs and illustrations with brighter, more engaging text and more demonstrative figures.Diagnosis and treatment planning chapters are revised to consider new paradigms to teach students and orthodontists how to apply the results of current research to their practice and treatment plans.Current technologies and advances in contemporary treatment provide clinicians with ways to make treatment planning and execution more efficient.Updated content on biomechanics gives clinicians ways to plan appropriate orthodontic appliance systems through which mechanotherapy is delivered using principles of forces.Updated information on mechanical devices, such as transplants, transpositions, implants, and temporary anchorage using mini screws, provide an understanding on how these devices can affect orthodontic treatment and what is available on the market to improve treatment outcomes.Appliance chapters have been condensed to reflect only the most useful and contemporary materials.Chapters on treatment for adults have been rewritten to include new concepts in periodontics and new clinical cases with predictions and outcomes and discussion of surgical vs. orthodontic treatment options.Early treatment chapters have been consolidated and new research included in the reorganization of content to make it consistent with the best data available in the literature.Every section of the book begins with a section opener to outline the main concepts discussed in that section.

The Fractal Geometry of Nature


Benoît B. Mandelbrot - 1977
    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

PADI Open Water Diver Manual Revised 2010 Version


PADI - 2010
    The PADI Open Water Diver course leads to two possible certifications: PADI SCUBA Diver and PADI Open Water Diver. This book covers basic diving certification topics and techniques including:Choosing, using, maintaining, and storing equipment.Basic training, from pool to open waterDiving physiology, including buoyancy, behavior of gases, the bends, and hypothermia.Dive planning, including decompression dives.Safety and first aid.

Probability Theory: The Logic of Science


E.T. Jaynes - 1999
    It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

To Infinity and Beyond: A Cultural History of the Infinite


Eli Maor - 1986
    He evokes the profound intellectual impact the infinite has exercised on the human mind--from the horror infiniti of the Greeks to the works of M. C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity--a fascination mingled with puzzlement. Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M. C. Escher, six of whose works are shown here in beautiful color plates.--Los Angeles Times [Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama.--Choice Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics.--Science

China in World History


Paul S. Ropp - 2010
    Historian Paul Ropp combines vivid story-telling with astute analysis to shed light on some of the larger questionsof Chinese history. What is distinctive about China in comparison with other civilizations? What have been the major changes and continuities in Chinese life over the past four millennia? Offering a global perspective, the book shows how China's nomadic neighbors to the north and west influencedmuch of the political, military, and even cultural history of China. Ropp also examines Sino-Indian relations, highlighting the impact of the thriving trade between India and China as well as the profound effect of Indian Buddhism on Chinese life. Finally, the author discusses the humiliation ofChina at the hands of Western powers and Japan, explaining how these recent events have shaped China's quest for wealth, power and respect today, and have colored China's perception of its own place in world history.

Computational Complexity


Sanjeev Arora - 2007
    Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set.