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Advanced Calculus

Advanced Calculus Author Pietro-Luciano Buono
ISBN-10 9783110438222
Release 2016-09-12
Pages 313
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This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green’s, Stokes’ and Gauss’ theorems. Furthermore, the presentation offers a natural route to differential geometry. Contents: Calculus of Vector Functions Tangent Spaces and 1-forms Line Integrals Differential Calculus of Mappings Applications of Differential Calculus Double and Triple Integrals Wedge Products and Exterior Derivatives Integration of Forms Stokes’ Theorem and Applications

Multivariable Calculus and Differential Geometry

Multivariable Calculus and Differential Geometry Author Gerard Walschap
ISBN-10 3110369494
Release 2015-05-15
Pages 365
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This text is a modern in-depth study of the subject that includes all the material needed from linear algebra. It then goes on to investigate topics in differential geometry, such as manifolds in Euclidean space, curvature, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.

Tensors and Riemannian Geometry

Tensors and Riemannian Geometry Author Nail H. Ibragimov
ISBN-10 9783110379648
Release 2015-08-31
Pages 197
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This graduate textbook begins by introducing Tensors and Riemannian Spaces, and then elaborates their application in solving second-order differential equations, and ends with introducing theory of relativity and de Sitter space. Based on 40 years of teaching experience, the author compiles a well-developed collection of examples and exercises to facilitate the reader’s learning.

Multivariable Analysis

Multivariable Analysis Author Satish Shirali
ISBN-10 9780857291929
Release 2010-12-13
Pages 394
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This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz' Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.

Calculus and Analysis in Euclidean Space

Calculus and Analysis in Euclidean Space Author Jerry Shurman
ISBN-10 9783319493145
Release 2017-01-01
Pages 507
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The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, Calculus and Analysis in Euclidean Space offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject. The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of geometric intuition (the visual cortex being quickly instinctive) algebraic manipulation (symbol-patterns being precise and robust) incisive use of natural language (slogans that encapsulate central ideas enabling a large-scale grasp of the subject). Thinking in these ways renders mathematics coherent, inevitable, and fluid. The prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs.

Functions of Several Real Variables

Functions of Several Real Variables Author Martin A. Moskowitz
ISBN-10 9789814299268
Release 2011
Pages 716
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This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one theorem upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify the theory and teach the reader how to apply it to solve problems in mathematics and other sciences and economics. Each of the chapters concludes with groups of exercises and problems, many of them with detailed solutions while others with hints or final answers. More advanced topics, such as Morse's lemma, Brouwer's fixed point theorem, Picard's theorem and the Weierstrass approximation theorem are discussed in stared sections.

Methods of Mathematics Applied to Calculus Probability and Statistics

Methods of Mathematics Applied to Calculus  Probability  and Statistics Author Richard W. Hamming
ISBN-10 9780486138879
Release 2012-06-28
Pages 880
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This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.

40 Days of Dating

40 Days of Dating Author Jessica Walsh
ISBN-10 9781613127155
Release 2015-01-20
Pages 304
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When New York–based graphic designers and long-time friends Timothy Goodman and Jessica Walsh found themselves single at the same time, they decided to try an experiment. The old adage says that it takes 40 days to change a habit—could the same be said for love? So they agreed to date each other for 40 days, record their experiences in questionnaires, photographs, videos, texts, and artworks, and post the material on a website they would create for this purpose. What began as a small experiment between two friends became an Internet sensation, drawing 5 million unique (and obsessed) visitors from around the globe to their site and their story since it was launched in July 2013. 40 Days of Dating: An Experiment is a beautifully designed, expanded look at the experiment and the results, including a great deal of material that never made it onto the site, such as who they were as friends and individuals before the 40 days and who they have become since. Note: 40 Days of Dating has a special binding that allows it to open very flat by attaching the endpapers to the inside covers.

Calculus Workbook For Dummies

Calculus Workbook For Dummies Author Mark Ryan
ISBN-10 9781119043485
Release 2015-07-02
Pages 336
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Your light-hearted, practical approach to conquering calculus Does the thought of calculus give you a coronary? You aren't alone. Thankfully, this new edition of Calculus Workbook For Dummies makes it infinitely easier. Focusing "beyond the classroom," it contains calculus exercises you can work on that will help to increase your confidence and improve your skills. This hands-on, friendly guide gives you hundreds of practice problems on limits, vectors, continuity, differentiation, integration, curve-sketching, conic sections, natural logarithms, and infinite series. Calculus is a gateway and potential stumbling block for students interested in pursuing a career in math, science, engineering, finance, and technology. Calculus students, along with math students in nearly all disciplines, benefit greatly from opportunities to practice different types of problems—in the classroom and out. Calculus Workbook For Dummies takes you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English, rather than math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Master differentiation and integration Use the calculus microscope: limits Analyze common functions Score your highest in calculus Complete with tips for problem-solving and traps to avoid, Calculus Workbook For Dummies is your sure-fire weapon for conquering calculus!

Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UOM:39015026178585
Release 1992
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Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.

Continuum Mechanics

Continuum Mechanics Author I-Shih Liu
ISBN-10 3540430199
Release 2002-05-28
Pages 298
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This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presendted in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.

guide to the literature of mathematics and physics

guide to the literature of mathematics and physics Author nathan grier parke III
Release 1958
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guide to the literature of mathematics and physics has been writing in one form or another for most of life. You can find so many inspiration from guide to the literature of mathematics and physics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full guide to the literature of mathematics and physics book for free.

Linear and Quasilinear Elliptic Equations

Linear and Quasilinear Elliptic Equations Author Ladyzhenskaya
ISBN-10 9780080955544
Release 1968
Pages 494
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Linear and Quasilinear Elliptic Equations

Introduction to Differential Geometry of Space Curves and Surfaces

Introduction to Differential Geometry of Space Curves and Surfaces Author Taha Sochi
ISBN-10 9781387103249
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Introduction to Differential Geometry of Space Curves and Surfaces has been writing in one form or another for most of life. You can find so many inspiration from Introduction to Differential Geometry of Space Curves and Surfaces also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Introduction to Differential Geometry of Space Curves and Surfaces book for free.

Extra Stuff

Extra Stuff Author Peter Griffin
ISBN-10 0929712005
Release 1991-01-01
Pages 176
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This book addresses many of gambling's abstract concepts-proportional wagering, considerations for games with variable payoffs, the effects of rebates on losses-as well as more mainstream subjects, such as the casino's treatment of hold percentages and analyses of gambling systems. Although packed with mathematics, Griffin's easy style accommodates most readers. Gamblers with all levels of experience will have an enhanced understanding of the games.

Handbook of Nonlinear Partial Differential Equations Second Edition

Handbook of Nonlinear Partial Differential Equations  Second Edition Author Andrei D. Polyanin
ISBN-10 9781420087246
Release 2016-04-19
Pages 1912
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New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with MapleTM, Mathematica®, and MATLAB® Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They outline the methods in a schematic, simplified manner and arrange the material in increasing order of complexity.

The Oxford Handbook of Philosophy of Physics

The Oxford Handbook of Philosophy of Physics Author Robert Batterman
ISBN-10 9780195392043
Release 2013-03-14
Pages 688
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This Oxford Handbook provides an overview of many of the topics that currently engage philosophers of physics. It surveys new issues and the problems that have become a focus of attention in recent years. It also provides up-to-date discussions of the still very important problems that dominated the field in the past. In the late 20th Century, the philosophy of physics was largely focused on orthodox Quantum Mechanics and Relativity Theory. The measurement problem, the question of the possibility of hidden variables, and the nature of quantum locality dominated the literature on the quantum mechanics, whereas questions about relationalism vs. substantivalism, and issues about underdetermination of theories dominated the literature on spacetime. These issues still receive considerable attention from philosophers, but many have shifted their attentions to other questions related to quantum mechanics and to spacetime theories. Quantum field theory has become a major focus, particularly from the point of view of algebraic foundations. Concurrent with these trends, there has been a focus on understanding gauge invariance and symmetries. The philosophy of physics has evolved even further in recent years with attention being paid to theories that, for the most part, were largely ignored in the past. For example, the relationship between thermodynamics and statistical mechanics—-once thought to be a paradigm instance of unproblematic theory reduction—-is now a hotly debated topic. The implicit, and sometimes explicit, reductionist methodology of both philosophers and physicists has been severely criticized and attention has now turned to the explanatory and descriptive roles of "non-fundamental,'' phenomenological theories. This shift of attention includes "old'' theories such as classical mechanics, once deemed to be of little philosophical interest. Furthermore, some philosophers have become more interested in "less fundamental'' contemporary physics such as condensed matter theory. Questions abound with implications for the nature of models, idealizations, and explanation in physics. This Handbook showcases all these aspects of this complex and dynamic discipline.