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| Author | : CK-12 Foundation |
| Publisher | : CK-12 Foundation |
| Total Pages | : 603 |
| Release | : 2010-08-15 |
| Genre | : Mathematics |
| ISBN | : 1935983016 |
CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.
| Author | : CK-12 Foundation |
| Publisher | : CK-12 Foundation |
| Total Pages | : 438 |
| Release | : 2011-10-14 |
| Genre | : Mathematics |
| ISBN | : 193598344X |
CK-12's Trigonometry-Second Edition is a clear presentation of trigonometry for the high school student. Its 6 chapters cover the following topics: Right Triangles and an Introduction to Trigonometry, Graphing Trigonometric Functions, Trigonometric Identities and Equations, Inverse Trigonometric Functions, Triangles and Vectors, and The Polar System.
| Author | : CK-12 Foundation |
| Publisher | : CK-12 Foundation |
| Total Pages | : 995 |
| Release | : 2011-10-14 |
| Genre | : Science |
| ISBN | : 1935983490 |
CK-12 Foundation's Chemistry - Second Edition FlexBook covers the following chapters:Introduction to Chemistry - scientific method, history.Measurement in Chemistry - measurements, formulas.Matter and Energy - matter, energy.The Atomic Theory - atom models, atomic structure, sub-atomic particles.The Bohr Model of the Atom electromagnetic radiation, atomic spectra. The Quantum Mechanical Model of the Atom energy/standing waves, Heisenberg, Schrodinger.The Electron Configuration of Atoms Aufbau principle, electron configurations.Electron Configuration and the Periodic Table- electron configuration, position on periodic table.Chemical Periodicity atomic size, ionization energy, electron affinity.Ionic Bonds and Formulas ionization, ionic bonding, ionic compounds.Covalent Bonds and Formulas nomenclature, electronic/molecular geometries, octet rule, polar molecules.The Mole Concept formula stoichiometry.Chemical Reactions balancing equations, reaction types.Stoichiometry limiting reactant equations, yields, heat of reaction.The Behavior of Gases molecular structure/properties, combined gas law/universal gas law.Condensed Phases: Solids and Liquids intermolecular forces of attraction, phase change, phase diagrams.Solutions and Their Behavior concentration, solubility, colligate properties, dissociation, ions in solution.Chemical Kinetics reaction rates, factors that affect rates.Chemical Equilibrium forward/reverse reaction rates, equilibrium constant, Le Chatelier's principle, solubility product constant.Acids-Bases strong/weak acids and bases, hydrolysis of salts, pHNeutralization dissociation of water, acid-base indicators, acid-base titration, buffers.Thermochemistry bond breaking/formation, heat of reaction/formation, Hess' law, entropy, Gibb's free energy. Electrochemistry oxidation-reduction, electrochemical cells.Nuclear Chemistry radioactivity, nuclear equations, nuclear energy.Organic Chemistry straight chain/aromatic hydrocarbons, functional groups.Chemistry Glossary
| Author | : Walter A. Strauss |
| Publisher | : John Wiley & Sons |
| Total Pages | : 467 |
| Release | : 2007-12-21 |
| Genre | : Mathematics |
| ISBN | : 0470054565 |
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
| Author | : Titu Andreescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 222 |
| Release | : 2006-03-04 |
| Genre | : Mathematics |
| ISBN | : 0817644326 |
* Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training
| Author | : Jay P. Abramson |
| Publisher | : |
| Total Pages | : 1564 |
| Release | : 2015-02-13 |
| Genre | : Algebra |
| ISBN | : 9781938168376 |
"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.
| Author | : Lynn Harold Loomis |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 595 |
| Release | : 2014-02-26 |
| Genre | : Mathematics |
| ISBN | : 9814583952 |
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
| Author | : Karl Johan Åström |
| Publisher | : Princeton University Press |
| Total Pages | : |
| Release | : 2021-02-02 |
| Genre | : Technology & Engineering |
| ISBN | : 069121347X |
The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
| Author | : Daniel Zwillinger |
| Publisher | : CRC Press |
| Total Pages | : 792 |
| Release | : 2011-06-22 |
| Genre | : Mathematics |
| ISBN | : 1439835500 |
With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material. New to the 32nd Edition A new chapter on Mathematical Formulae from the Sciences that contains the most important formulae from a variety of fields, including acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics New material on contingency tables, estimators, process capability, runs test, and sample sizes New material on cellular automata, knot theory, music, quaternions, and rational trigonometry Updated and more streamlined tables Retaining the successful format of previous editions, this comprehensive handbook remains an invaluable reference for professionals and students in mathematical and scientific fields.
| Author | : David Diez |
| Publisher | : |
| Total Pages | : |
| Release | : 2015-07-02 |
| Genre | : |
| ISBN | : 9781943450046 |
The OpenIntro project was founded in 2009 to improve the quality and availability of education by producing exceptional books and teaching tools that are free to use and easy to modify. We feature real data whenever possible, and files for the entire textbook are freely available at openintro.org. Visit our website, openintro.org. We provide free videos, statistical software labs, lecture slides, course management tools, and many other helpful resources.
