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Physics prefers simplicity, converting a complicated phenomenon expressed by a function."> <meta name="twitter:description" content="This textbook, Applied Mathematics in Ferroelectricity and Piezoelectricity, was authored to provide the reader with a solid mathematical background for studying ferroelectricity and piezoelectricity as a supplemental reference to my three course books, Ferroelectric Devices 2nd Edition (2010), Micromechatronics 2nd Edition (2019), and FEM and Micromechatronics with ATILA Software (2008), all published from CRC Press. Physics prefers simplicity, converting a complicated phenomenon expressed by a function."> <meta property="og:description" content="This textbook, Applied Mathematics in Ferroelectricity and Piezoelectricity, was authored to provide the reader with a solid mathematical background for studying ferroelectricity and piezoelectricity as a supplemental reference to my three course books, Ferroelectric Devices 2nd Edition (2010), Micromechatronics 2nd Edition (2019), and FEM and Micromechatronics with ATILA Software (2008), all published from CRC Press. 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name="dc.creator" content="Kenji Uchino"> <meta name="dc.description" content="<p>This textbook, <em>Applied Mathematics in Ferroelectricity and Piezoelectricity</em>, was authored to provide the reader with a solid mathematical background for studying “ferroelectricity and piezoelectricity” as a supplemental reference to my three course books, <em>Ferroelectric Devices 2nd Edition</em> (2010), <em>Micromechatronics 2nd Edition</em> (2019), and <em>FEM and Micromechatronics with ATILA Software</em> (2008), all published from CRC Press. “Physics” prefers “simplicity”, converting a complicated phenomenon expressed by a function.</p>"> <meta name="dc.identifier" content="10.3390/books978-3-0365-1319-5"> <meta name="dc.identifier" content="https://doi.org/10.3390/books978-3-0365-1319-5" scheme="dcterms.uri"> <meta name="dc.language" content="English" xml:lang="en_US"> <meta name="dc.subject" content="Computer Science & Mathematics"> <meta name="dc.title" content="Applied Mathematics in 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.slider-origin>.merge-h\:left-auto{left:auto}.slider-horizontal .slider-origin>.merge-h\:top-5{top:1.25rem}.slider-horizontal .slider-origin>.merge-h\:translate-x-1\/2{--tw-translate-x:50%;transform:translate(50%,var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.slider-vertical .slider-origin>.merge-v\:left-7{left:1.75rem}.slider-vertical .slider-origin>.merge-v\:right-1{right:.25rem}.slider-vertical .slider-origin>.merge-v\:top-auto{top:auto}.slider-vertical .slider-origin>.merge-v\:-translate-x-4{--tw-translate-x:-1rem;transform:translate(-1rem,var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.slider-horizontal.slider-txt-rtl .txt-rtl-h\:-left-2{left:-.5rem}.slider-horizontal.slider-txt-rtl .txt-rtl-h\:left-0{left:0}.slider-horizontal.slider-txt-rtl .txt-rtl-h\:right-auto{right:auto}.slider-tap .tap\:transition-transform{transition-duration:.15s;transition-property:transform;transition-timing-function:cubic-bezier(.4,0,.2,1)}.slider-tap .tap\:duration-300{transition-duration:.3s}.slider-tooltip-focus:not(.slider-focused) .tt-focus\:hidden{display:none!important}.slider-tooltip-focus.slider-focused:not(.slider-tooltip-hidden) .tt-focused\:block{display:block!important}.slider-tooltip-drag:not(.slider-state-drag) .tt-drag\:hidden{display:none!important}.slider-tooltip-drag.slider-state-drag .tt-dragging\:block\:not$\.slider-tooltip-hidden${display:block!important}@media not all and (min-width:1024px){.max-lg\:mb-lg{margin-bottom:1.5rem;margin-bottom:var(--spacing-lg)}.max-lg\:mt-xl{margin-top:2rem;margin-top:var(--spacing-xl)}.max-lg\:block{display:block}.max-lg\:hidden{display:none}.max-lg\:\!w-full{width:100%!important}.max-lg\:w-full{width:100%}.max-lg\:items-center{align-items:center}.max-lg\:gap-x-6{-moz-column-gap:1.5rem;column-gap:1.5rem}.max-lg\:border-b{border-bottom-width:1px}.max-lg\:border-t-\[1px\]{border-top-width:1px}.max-lg\:border-t-color-default{--tw-border-opacity:1;border-top-color:#dcdfe4;border-top-color:rgba(var(--color-border-default),var(--tw-border-opacity))}.max-lg\:pt-lg{padding-top:1.5rem;padding-top:var(--spacing-lg)}.max-lg\:pt-md{padding-top:1rem;padding-top:var(--spacing-md)}.max-lg\:\!text-xl{font-size:1.25rem!important;line-height:1.75rem!important}}@media 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class="m-button m-button--lg m-button--tertiary rounded !text-xs" type="button" data-v-5fe1d318-s><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"> Share <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="share" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button><button class="m-button m-button--lg m-button--tertiary rounded !text-xs" type="button" data-v-5fe1d318-s><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"> Bookmark <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="bookmark" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="flex flex-col gap-xs"><div class=""><h1 class="m-heading text-inherit m-h4 font-light mb-xs"><span class="m-rich-text">Applied Mathematics in Ferroelectricity and Piezoelectricity</span></h1></div></div><div class="flex lg:hidden"><button type="button" class="group relative max-w-[12.5rem] lg:w-80 lg:max-w-full"><img src="https://mdpi-res.com/bookfiles/mono/7260/Applied_Mathematics_in_Ferroelectricity_and_Piezoelectricity.jpg?v=1732327574" onerror="this.setAttribute('data-error', 1)" alt="Book cover" data-nuxt-img srcset="https://mdpi-res.com/bookfiles/mono/7260/Applied_Mathematics_in_Ferroelectricity_and_Piezoelectricity.jpg?v=1732327574 1x, https://mdpi-res.com/bookfiles/mono/7260/Applied_Mathematics_in_Ferroelectricity_and_Piezoelectricity.jpg?v=1732327574 2x" class="h-full w-full object-cover object-top shadow"><div class="absolute inset-0 bg-content-inverse opacity-0 transition-opacity lg:group-hover:opacity-10"></div><span class="m-text text-xs absolute right-xs top-xs rounded bg-content-subtler px-xs text-color-default transition-opacity"> Look inside </span></button></div><div class="flex flex-wrap items-center gap-x-sm gap-y-0.5 text-sm"><button class="flex items-center gap-xs" type="button"><span class="m-avatar flex items-center justify-center overflow-hidden rounded-full bg-brand-bold font-medium text-color-on-brand h-5 w-5 min-w-5 text-[0.575rem] !bg-brand-boldest [&>span]:text-[0.625rem]" data-testid="m-avatar"><span translate="no">KU</span><span class="sr-only">Kenji Uchino</span></span><span class="text-color-brand-bold">Kenji Uchino</span></button></div><div class="flex items-center gap-xl text-xs font-bold"><div> December 2023</div><div>632 pages</div></div><div class="flex flex-col text-xs"><ul><li class="space-x-xs break-words"><span>ISBN</span><span>978-3-0365-1320-1</span><span class="capitalize"> (Hardback) </span></li><li class="space-x-xs break-words"><span>ISBN</span><span>978-3-0365-1319-5</span><span class="capitalize"> (PDF) </span></li></ul></div><div class="text-xs"><a href="https://doi.org/10.3390/books978-3-0365-1319-5" rel="noopener noreferrer" class="hover:underline"> https://doi.org/10.3390/books978-3-0365-1319-5</a></div><div class="flex w-full flex-wrap items-center gap-md lg:max-w-content"><button class="m-button m-button--lg m-button--primary m-button--full-width rounded max-w-[34%]" type="button" aria-label="Add to cart"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-between"><span></span><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="shopping_bag" weight="400" style="" width="24" height="24" viewBox="0 0 16 16"></svg></span></button><div class="m-button m-button--lg m-button--secondary m-button--link m-button--full-width rounded max-w-[34%]" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-between"><a href="https://mdpi-res.com/bookfiles/mono/7260/Applied_Mathematics_in_Ferroelectricity_and_Piezoelectricity.pdf?v=1732327574" target="_blank" class="flex h-full w-full items-center !justify-between rounded bg-inherit"> Free Download (PDF) <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="open_in_new" style="" width="24" height="24" viewBox="0 0 16 16"></svg></a></span></div></div></div><div class="flex flex-wrap gap-sm"><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 rounded-full text-xs"><span class="flex items-center whitespace-nowrap text-xs leading-normal">DOAB</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 rounded-full text-xs"><span class="flex items-center whitespace-nowrap text-xs leading-normal">OAPEN</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 rounded-full text-xs"><span class="flex items-center whitespace-nowrap text-xs 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Ferroelectricity and Piezoelectricity</em>, was authored to provide the reader with a solid mathematical background for studying “ferroelectricity and piezoelectricity” as a supplemental reference to my three course books, <em>Ferroelectric Devices 2nd Edition</em> (2010), <em>Micromechatronics 2nd Edition</em> (2019), and <em>FEM and Micromechatronics with ATILA Software</em> (2008), all published from CRC Press. “Physics” prefers “simplicity”, converting a complicated phenomenon expressed by a function.</p></div></div></div></div><div class="lg:hidden"><div class="flex flex-col"><div class="mb-md flex flex-col bg-accent-sunken px-sm py-md"><div class="flex flex-col gap-xl"><div class="flex flex-col gap-sm"><span class="whitespace-nowrap border-b pb-sm text-xs uppercase">Views</span><span class="text-xl">6380</span></div><div class="flex flex-row gap-lg"><div class="flex flex-col gap-sm flex-1"><span class="whitespace-nowrap border-b pb-sm text-xs uppercase">Downloads</span><span class="text-xl">1115</span></div><div class="flex flex-col gap-sm flex-1"><span class="whitespace-nowrap border-b pb-sm text-xs uppercase">Citations</span><span class="text-xl">0</span></div><span></span></div></div></div><div class="flex flex-col gap-sm"><div><span class="text-xs font-bold">Format</span><ul><li class="space-x-xs text-xs"><span>Hardback</span></li></ul></div><div data-v-2fcfbc20><span class="text-xs font-bold" data-v-2fcfbc20>License and Copyright</span><div class="m-rich-text text-xs" data-v-2fcfbc20>漏 2023 by the authors; CC BY-NC-ND license</div></div><div data-v-2fcfbc20><span class="text-xs font-bold" data-v-2fcfbc20>Keywords</span><div class="m-rich-text text-xs" data-v-2fcfbc20>ferroelectrics; piezoelectricity; phenomenology; applied mathematics</div></div><div data-v-2fcfbc20><span class="text-xs font-bold" data-v-2fcfbc20>Review mode</span><div class="m-rich-text text-xs" data-v-2fcfbc20><p>This monograph has been reviewed by two (or more) external 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