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Author: Charles Swartz Publisher: World Scientific ISBN: 9789812810656 Category : Mathematics Languages : en Pages : 176
Book Description
This book presents the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. These variations lead to integrals which are much more powerful than the Riemann integral. The Henstock/Kurzweil integral is an unconditional integral for which the fundamental theorem of calculus holds in full generality, while the McShane integral is equivalent to the Lebesgue integral in Euclidean spaces. A basic knowledge of introductory real analysis is required of the reader, who should be familiar with the fundamental properties of the real numbers, convergence, series, differentiation, continuity, etc. Contents: Introduction to the Gauge or Henstock-Kurzweil Integral; Basic Properties of the Gauge Integral; Henstock''s Lemma and Improper Integrals; The Gauge Integral over Unbounded Intervals; Convergence Theorems; Integration over More General Sets: Lebesgue Measure; The Space of Gauge Integrable Functions; Multiple Integrals and Fubini''s Theorem; The McShane Integral; McShane Integrability is Equivalent to Absolute Henstock-Kurzweil Integrability. Readership: Upper level undergraduates and mathematicians interested in gauge integrals.
Author: Charles Swartz Publisher: World Scientific ISBN: 9789812810656 Category : Mathematics Languages : en Pages : 176
Book Description
This book presents the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. These variations lead to integrals which are much more powerful than the Riemann integral. The Henstock/Kurzweil integral is an unconditional integral for which the fundamental theorem of calculus holds in full generality, while the McShane integral is equivalent to the Lebesgue integral in Euclidean spaces. A basic knowledge of introductory real analysis is required of the reader, who should be familiar with the fundamental properties of the real numbers, convergence, series, differentiation, continuity, etc. Contents: Introduction to the Gauge or Henstock-Kurzweil Integral; Basic Properties of the Gauge Integral; Henstock''s Lemma and Improper Integrals; The Gauge Integral over Unbounded Intervals; Convergence Theorems; Integration over More General Sets: Lebesgue Measure; The Space of Gauge Integrable Functions; Multiple Integrals and Fubini''s Theorem; The McShane Integral; McShane Integrability is Equivalent to Absolute Henstock-Kurzweil Integrability. Readership: Upper level undergraduates and mathematicians interested in gauge integrals.
Author: Sanjaya Maniktala Publisher: Elsevier ISBN: 0080461557 Category : Technology & Engineering Languages : en Pages : 523
Book Description
The design of Switching Power Supplies has become one of the most crucial aspects of power electronics, particularly in the explosive market for portable devices. Unfortunately, this seemingly simple mechanism is actually one of the most complex and under-estimated processes in Power Electronics. Switching power conversion involves several engineering disciplines: Semiconductor Physics, Thermal Management, Control Loop theory, Magnetics etc, and all these come into play eventually, in ways hard for non-experts to grasp. This book grows out of decades of the author's experience designing commercial power supplies. Although his formal education was in physics, he learned the hard way what it took to succeed in designing power supplies for companies like Siemens and National Semiconductor. His passion for power supplies and his empathy for the practicing or aspiring power conversion engineer is evident on every page.* The most comprehensive study available of the theoretical and practical aspects of controlling and measuring Electromagnetic Interference in switching power supplies, including input filter instability considerations. * Step-by-step and iterative approach for calculating high-frequency losses in forward converter transformers, including Proximity losses based on Dowell's equations.* Thorough, yet uniquely simple design flow-chart for building DC-DC converters and their magnetic components under typical wide-input supply conditions * Step-by-step, solved examples for stabilizing control loops of all three major topologies, using either transconductance or conventional operational amplifiers, and either current-mode or voltage-mode control.
Author: Dan Chiras Publisher: New Society Publishers ISBN: 1550926268 Category : Technology & Engineering Languages : en Pages : 338
Book Description
Skyrocketing energy costs and constant reminders of the impacts of conventional energy sources are making homeowners and businesses look at different ways to use energy more efficiently and to generate their own electricity to reduce fuel bills and their carbon footprint. Power From the Wind is the completely revised and updated edition of the go-to guide for individuals and businesses interested in installing small wind energy systems. Written for the layperson, this practical guide provides an accurate and unbiased view of all aspects of small wind energy systems, including: Wind and wind energy system options Ways to assess wind resources at your site Wind turbines and towers Inverters and batteries Installation and maintenance of systems Costs and benefits of installing a wind system. Readers will gain the knowledge they need to make wise decisions during the design, purchase, and installation of small wind energy systems and to communicate effectively with wind system installers, and will be empowered to help make the smartest, most economical choices.
Author: Lee Jun Cai Publisher: AcesMath! ISBN: Category : Mathematics Languages : en Pages : 42
Book Description
Confused about the various graph transformation taught in school? This book on Limits and Differentiation seeks to offer a condensed version of what you need to know for A-Levels H2 Mathematics, alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.
Author: Panos M Pardalos Publisher: World Scientific ISBN: 9811267057 Category : Mathematics Languages : en Pages : 958
Book Description
This comprehensive volume presents essential mathematical results devoted to topics of mathematical analysis, differential equations and their various applications. It focuses on differential operators, Wardowski maps, low-oscillation functions, Galois and Pataki connections, Hardy-type inequalities, to name just a few.Effort has been made for this unique title to have an interdisciplinary flavor and features several applications such as in tomography, elastic scattering, fluid mechanics, etc.This work could serve as a useful reference text to benefit professionals, academics and graduate students working in theoretical computer science, computer mathematics, and general applied mathematics.
Author: David Goss Publisher: Walter de Gruyter ISBN: 3110886154 Category : Mathematics Languages : en Pages : 493
Book Description
Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Author: Institut des hautes études scientifiques (Paris, France) Publisher: American Mathematical Soc. ISBN: 0821852035 Category : Mathematics Languages : en Pages : 695
Book Description
The work of Alain Connes has cut a wide swath across several areas of mathematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the forefront of research in operator algebras, analysis, noncommutative geometry, topology, number theory and physics. Specific themes covered by the articles are as follows: entropy in operator algebras, regular $C^*$-algebras of integral domains, properly infinite $C^*$-algebras, representations of free groups and 1-cohomology, Leibniz seminorms and quantum metric spaces; von Neumann algebras, fundamental Group of $\mathrm{II}_1$ factors, subfactors and planar algebras; Baum-Connes conjecture and property T, equivariant K-homology, Hermitian K-theory; cyclic cohomology, local index formula and twisted spectral triples, tangent groupoid and the index theorem; noncommutative geometry and space-time, spectral action principle, quantum gravity, noncommutative ADHM and instantons, non-compact spectral triples of finite volume, noncommutative coordinate algebras; Hopf algebras, Vinberg algebras, renormalization and combinatorics, motivic renormalization and singularities; cyclotomy and analytic geometry over $F_1$, quantum modular forms; differential K-theory, cyclic theory and S-cohomology.
Author: Charles Swartz
Author: Charles Swartz
Author: Sanjaya Maniktala
Author: Dan Chiras
Author: Lee Jun Cai
Author: YCT Expert Team 
Author: 
Author: Panos M Pardalos
Author: 
Author: David Goss
Author: Institut des hautes études scientifiques (Paris, France)