Fast Start Differential Calculus (Synthesis Lectures on Mathematics and Statistics)

Fast Start Differential Calculus (Synthesis Lectures on Mathematics and Statistics)

This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem. This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and …

Read moreFast Start Differential Calculus (Synthesis Lectures on Mathematics and Statistics)

Mathematics for Physicists: Introductory Concepts and Methods

Mathematics for Physicists: Introductory Concepts and Methods

Introduces all the mathematics needed in the undergraduate physics curriculum. Theoretical mathematical concepts and practical computational methods are presented in unison and from a physically motivated perspective, making even advanced mathematics tangible. Includes many worked examples and over 300 problems, half with fully worked solutions. This textbook is a comprehensive introduction to the key disciplines of mathematics – linear algebra, calculus, and geometry – needed in the undergraduate physics curriculum. Its leitmotiv is that success in learning these subjects depends on a good balance …

Read moreMathematics for Physicists: Introductory Concepts and Methods

Solving Problems in Mathematical Analysis, Part III: Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, … Fourier Series (Problem Books in Mathematics)

Solving Problems in Mathematical Analysis, Part III: Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, ... Fourier Series (Problem Books in Mathematics)

This textbook offers an extensive list of completely solved problems in mathematical analysis. This third of three volumes covers curves and surfaces, conditional extremes, curvilinear integrals, complex functions, singularities and Fourier series. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis.Based on the authors years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should …

Read moreSolving Problems in Mathematical Analysis, Part III: Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, … Fourier Series (Problem Books in Mathematics)

Solving Problems in Mathematical Analysis, Part II: Definite, Improper and Multidimensional Integrals, Functions of Several Variables and Differential Equations (Problem Books in Mathematics)

Solving Problems in Mathematical Analysis, Part II: Definite, Improper and Multidimensional Integrals, Functions of Several Variables and Differential Equations (Problem Books in Mathematics)

This textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis.Based on the authors years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should …

Read moreSolving Problems in Mathematical Analysis, Part II: Definite, Improper and Multidimensional Integrals, Functions of Several Variables and Differential Equations (Problem Books in Mathematics)

Shakespeare’s Montaigne

Shakespeare's Montaigne

Shakespeare, Nietzsche wrote, was Montaignes best readera typically brilliant Nietzschean insight, capturing the intimate relationship between Montaignes ever-changing record of the self and Shakespeares kaleidoscopic register of human character. And there is no doubt that Shakespeare read Montaignethough how extensively remains a matter of debateand that the translation he read him in was that of John Florio, a fascinating polymath, man-about-town, and dazzlingly inventive writer himself. Florios Montaigne is in fact one of the masterpieces of English prose, with a stylistic range and felicity …

Read moreShakespeare’s Montaigne

Geometric Singular Perturbation Theory Beyond the Standard Form (Frontiers in Applied Dynamical Systems: Reviews and Tutorials)

Geometric Singular Perturbation Theory Beyond the Standard Form (Frontiers in Applied Dynamical Systems: Reviews and Tutorials)

This volume providesa comprehensive review of multiple-scale dynamical systems.Mathematical models of such multiple-scale systems are considered singular perturbation problems, andthis volumefocuseson the geometric approach known as Geometric Singular Perturbation Theory (GSPT). It is the first of its kindthat introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples ofbiochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all withan inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form. The contents cover …

Read moreGeometric Singular Perturbation Theory Beyond the Standard Form (Frontiers in Applied Dynamical Systems: Reviews and Tutorials)

The Syrian Land: Processes of Integration and Fragmentation : Bild Al-Shm from the 18th to the 20th Century

The Syrian Land: Processes of Integration and Fragmentation : Bild Al-Shm from the 18th to the 20th Century

None “Der Band behandelt das geographische Syrien im 18. und 19. Jh. Dieser Zeitraum war von tiefgreifenden wirtschaftlichen Ver�nderungen gepr�gt, insbesondere der allm�hlichen Integration des Osmanischen Reiches in den Weltmarkt. Die hier vorgestellten neuen Fragen und Forschungsrichtungen, die zu einem differenzierteren Bild der osmanischen Herrschaft beitragen, beziehen wesentliche Impulse aus sozial- und wirtschaftsgeschichtlichen Ans�tzen. … Je ein Index fuer Personen- und Ortsnamen sowie Begriffe runden den Band ab. Man kann nur hoffen, da� diese Art der sozial- und wirtschaftshistorischen Nahostforschung, die sich bislang weitgehend …

Read moreThe Syrian Land: Processes of Integration and Fragmentation : Bild Al-Shm from the 18th to the 20th Century

The Mazya Anniversary Collection: Volume 2: Rostock Conference on Functional Analysis, Partial Differential Equations and Applications (Operator Theory: Advances and Applications)

The Mazya Anniversary Collection: Volume 2: Rostock Conference on Functional Analysis, Partial Differential Equations and Applications (Operator Theory: Advances and Applications)

During the week of August 31 – September 4, 1998, a conference in honour of Vladimir Maz’ya was held in Rostock as a satellite meeting of the World Congress of Mathematicians. It was sponsored by the German Research Founda tion (Deutsche Forschungsgemeinschaft) and the Ministry of Education and Cul tural Affairs of the land Mecklenburg-Vorpommern. During his forty year career Maz’ya contributed to so many areas of mathematical analysis that such a broad topic of the conference as “Functional Analysis, Partial Differential Equations and …

Read moreThe Mazya Anniversary Collection: Volume 2: Rostock Conference on Functional Analysis, Partial Differential Equations and Applications (Operator Theory: Advances and Applications)

Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States (Birkhuser Advanced Texts Basler Lehrbcher)

Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States (Birkhuser Advanced Texts Basler Lehrbcher)

This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology.The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex …

Read moreSuperlinear Parabolic Problems: Blow-up, Global Existence and Steady States (Birkhuser Advanced Texts Basler Lehrbcher)

Partial Differential Equations and Group Theory: New Perspectives for Applications (Mathematics and Its Applications)

Partial Differential Equations and Group Theory: New Perspectives for Applications (Mathematics and Its Applications)

Ordinary differential control thPory (the classical theory) studies input/output re lations defined by systems of ordinary differential equations (ODE). The various con cepts that can be introduced (controllability, observability, invertibility, etc. ) must be tested on formal objects (matrices, vector fields, etc. ) by means of formal operations (multiplication, bracket, rank, etc. ), but without appealing to the explicit integration (search for trajectories, etc. ) of the given ODE. Many partial results have been re cently unified by means of new formal methods coming …

Read morePartial Differential Equations and Group Theory: New Perspectives for Applications (Mathematics and Its Applications)