(window.AmazonUIPageJS ? .measureGuideCenteredImage{text-align:center;margin-top:0;margin-bottom:0;padding:0}.heightG2S2SizeChartPC{width:100%;overflow-x:auto;overflow-y:overlay}.leftAlignment{padding-left:4%}.sizeChartPcBrandLogo{max-height:60px}#wrapper{overflow:auto}#tabContent{position:relative}#spinnerContainer{display:none;z-index:1000;top:0;left:0;height:100%;width:100%;position:absolute;background:rgba(255,255,255,.8) center 30px no-repeat}.rightAlignment{padding-right:4%}#tabContent.loadingSpinnerSizeChart{overflow:hidden}#tabContent.loadingSpinnerSizeChart #spinnerContainer{display:block} AmazonUIPageJS : P).load.js('https://images-na.ssl-images-amazon.com/images/I/31yoeTcupOL.js?AUIClients/AmazonUICalendar'); AmazonUIPageJS : P).load.js('https://images-na.ssl-images-amazon.com/images/I/01ZpCLG-JpL._RC|01BDCOuZFIL.js,512yAjxeCrL.js,01IN+Tx2rhL.js,011kwg0OTQL.js,01qIaIxJsJL.js,013HeCqn2YL.js,01IA5zDheBL.js,01YsvHiCZdL.js,61GuQ7TQATL.js,21MfP6Xk7vL.js,01XiAWfViUL.js,01fpGYmrQEL.js,014kCoIHgIL.js,01hkseOXj6L.js,01KLVtMsu9L.js,01AUzbXZhcL.js,311A0yCIeJL.js,01iRN5bMQkL.js,51Y9MvTjTNL.js,01IC-gBKyYL.js,11+-eNm4t+L.js,01XEEGOr+kL.js,01PQKs49DyL.js,51NhXDMUfgL.js,01y8JNON9+L.js,01T1PZDFmdL.js,41ikgCDraIL.js,01S8y9NkxoL.js,01QHXKhSxjL.js,11eR+ycDKDL.js,01smU8QIJrL.js,01-wyMMibUL.js,019MkidFEWL.js,01UewT-0cSL.js,01gsBemrwzL.js,11UPXOQ6SHL.js,51l2ZrDdNAL.js,01xJ7QRSiAL.js,013YkX6C2QL.js,71PH5QYM88L.js,41z2GZtTKLL.js,31iWhmLNdPL.js,11TiyGjyy6L.js_.js?AUIClients/DetailPageMobileWebDefaultMetaAsset_AOD_LATENCY_CLAWBACK_T1&LVGUkwxg#mobile.us.321740-T1.281042-T1.271164-T1.271151-T1.292695-C.292696-C.301156-T1.118931-T1.140997-T1.252279-T1.312511-T1.312547-T1.287015-T2.291749-T1.320911-T1.268789-T1.292706-T1.321652-T1.317281-T1.258182-T1.247181-T1.202285-C.301499-T1.312373-T1.304279-T1.224722-T1.169593-T1.172044-T1'); (window.AmazonUIPageJS ? .dpr-sample-images .dpr-anchor,.dpr-summary-widget.dpr-v2 .dpr-anchor{position:relative;top:-50px}.dpr-sample-images hr.bucketDivider,.dpr-summary-widget.dpr-v2 hr.bucketDivider{background:0 0!important;border-top:1px solid #ccc!important;margin-bottom:-36px!important;height:44px!important;border:0}.dpr-sample-images h2,.dpr-summary-widget.dpr-v2 h2{color:#c60!important;font-size:16px!important;margin-bottom:10px}.dpr-sample-images div.dpr-widget-content,.dpr-summary-widget.dpr-v2 div.dpr-widget-content{margin:0 0 25px 20px}#dpreviewSummary_feature_div .dpr-award-container{margin-top:-40px}#dpreviewSummary_feature_div .dpr-award-container img.dpr-award{width:90px}#dpreviewSummary_feature_div .dpr-award-container .a-box-inner{padding:5px;text-align:center}#dpreviewSummary_feature_div .dpr-headshots-container{text-align:center}#dpreviewSummary_feature_div .dpr-headshots-container img.dpr-avatar{margin:0 5px}.dpr-summary-full .dpr-scoring-container .a-meter{height:1.5rem}.dpr-summary-full .dpr-scoring-container .a-meter .a-meter-bar{background-color:#44A0E9;background:-moz-linear-gradient(top,#63b4f2,#44a0e9);background:-webkit-linear-gradient(top,#63b4f2,#44a0e9);background:-webkit-gradient(linear,left top,left bottom,color-stop(0,#63b4f2),color-stop(100%,#44a0e9));background:-o-linear-gradient(top,#63b4f2,#44a0e9);background:-ms-linear-gradient(top,#63b4f2,#44a0e9)}.dpr-sample-images .dpr-gallery-info{margin-bottom:10px;width:1010px}.dpr-sample-images .dpr-gallery-info h3{padding:0;font-size:medium;font-weight:400}.dpr-sample-images .dpr-gallery-info .dpr-info-line a.dpr-see-all-images span.dpr-link-offsite{color:#888}.dpr-sample-images .dpr-gallery-info .dpr-info-line span.dpr-open-originals-tooltip{float:right;color:#888}.dpr-sample-images .dpr-image-grid{position:relative}.dpr-sample-images .dpr-image-grid a.dpr-image{position:absolute;display:block}.dpr-sample-images .dpr-image-grid a.dpr-image img{position:absolute;left:0;top:0}.dpr-sample-images .dpr-image-grid a.dpr-image span.dpr-exif{display:block;position:absolute;left:0;bottom:0;right:0;background-color:#000;background-color:rgba(0,0,0,.75);color:#fff;font-size:9px;padding:2px 4px}.rtings__anchor{position:relative;top:-50px}.rtings__title{color:#e77600;font-size:21px}.rtings__quote{background:#eee;border-radius:5px;position:relative;margin-top:1rem;margin-bottom:3rem}.rtings__quote-badge{background:#fff;border:1px solid #ddd;border-radius:5px;position:absolute;top:-1rem;bottom:-1rem;left:1rem;width:17rem;margin-bottom:0}.rtings__quote-badge-inner{position:absolute;height:56px;margin-top:-28px;top:50%;width:16rem;margin-left:-7rem;left:50%}.rtings__quote-badge-image{display:inline-block;height:56px}.rtings__quote-badge-text{display:inline-block;font-size:.8rem;line-height:1.2em;font-weight:700;padding-top:.8rem}.rtings__quote-text{margin-left:19.5rem;padding:1rem}.rtings__quote-mark{font-family:Georgia;font-size:2.5em;line-height:1px;vertical-align:-11px;color:#555}.rtings__quote-mark--open{position:absolute;left:-1rem;top:12px}.rtings__header{font-weight:700}.rtings__score-meter{min-width:100px}.rtings__rating-row:first-child .rtings__rating-name,.rtings__rating-row:first-child .rtings__rating-score{font-size:1.2em;font-weight:700}.rtings__right-col{margin-top:1rem}.rtings__right-col .a-box-group{max-width:500px}.rtings__aspect-ratio{position:relative;width:100%;height:0;padding-bottom:56%}.rtings__aspect-ratio iframe{position:absolute;width:100%;height:100%;left:0;top:0}.rtings__score-meter--mobile{min-width:10rem}.rtings__score-meter--mobile .a-meter{height:2rem}table.rtings__compact-table--mobile tr td{padding-left:0}table.rtings__compact-table--mobile tr td:last-child{padding-right:0} (window.AmazonUIPageJS ? a.sh-wrap{border:none;outline:0;background:0 0;color:inherit;text-decoration:none}a.sh-wrap:active,a.sh-wrap:hover,a.sh-wrap:link,a.sh-wrap:visited{border:none;outline:0;color:inherit;text-decoration:none}button.sh-wrap{padding:0;border:none;outline:0;background:0 0;color:inherit;font-family:inherit;font-size:inherit;line-height:inherit}.sh-wrap{display:block}.sh-wrap.sh-option-inline{display:inline-block}body.sh-option-no-scroll{height:100%;overflow:hidden}.sh-price{color:#b12704}.sh-list-horizontal{*zoom:1}.sh-list-horizontal:after{content:"";display:block;clear:both;height:0}.sh-list-horizontal,.sh-list-horizontal-row,.sh-list-vertical{list-style:none;color:inherit;margin-top:0;margin-right:0;margin-left:0}.sh-list-horizontal li,.sh-list-horizontal-row li,.sh-list-vertical li{list-style:none}.sh-list-horizontal li{float:left}.sh-list-horizontal-row{display:table;border-collapse:collapse;width:100%}.sh-list-horizontal-row li{display:table-cell}.sh-option-addition.sh-list-horizontal-row.a-button-toggle-group,.sh-option-addition.sh-list-horizontal.a-button-toggle-group{font-size:1.5rem}.sh-option-addition.sh-list-horizontal li,.sh-option-addition.sh-list-horizontal-row li{vertical-align:middle}.sh-option-addition.sh-list-horizontal li+li,.sh-option-addition.sh-list-horizontal-row li+li{position:relative;padding-left:1.5em}.sh-option-addition.sh-list-horizontal li+li:before,.sh-option-addition.sh-list-horizontal-row li+li:before{content:"+";position:absolute;left:0;width:1.5em;text-align:center}.sh-option-addition.sh-list-horizontal-row{width:auto}.sh-option-addition.sh-list-horizontal-row li+li:before{top:50%;line-height:0}.sh-option-addition.sh-option-addition-wide.sh-list-horizontal li+li,.sh-option-addition.sh-option-addition-wide.sh-list-horizontal-row li+li{padding-left:3em}.sh-option-addition.sh-option-addition-wide.sh-list-horizontal li+li:before,.sh-option-addition.sh-option-addition-wide.sh-list-horizontal-row li+li:before{width:3em}.sh-carousel-devices-container{margin-bottom:1.3rem}.sh-a-container .sh-carousel-devices-container{margin-bottom:1.3rem}.sh-carousel-devices-container.sh-option-size-small .sh-carousel-devices-device{width:12rem}.sh-carousel-devices-container.sh-option-size-small .sh-carousel-devices-device .sh-img{height:8rem}.sh-carousel-devices-device{text-align:center;overflow:visible;width:15rem}.sh-carousel-devices-device .sh-form{margin-top:.9rem}.sh-carousel-devices-device .sh-btn{margin-bottom:.3rem}.sh-carousel-devices-device .sh-btn.a-button-icon .a-icon{display:none}.sh-carousel-devices-device .sh-btn.a-button-icon .a-button-text{position:static;z-index:auto;text-align:center;padding-left:1.7rem;padding-right:1.7rem}.sh-carousel-devices-device .sh-img{height:15rem;margin-bottom:.5rem}.sh-carousel-devices-device .sh-title{display:block;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.sh-carousel-devices-device .sh-price-offers,.sh-carousel-devices-device .sh-title,.sh-carousel-devices-device p.sh-price{display:block;margin:0;font-size:1.3rem;line-height:1.4}.sh-carousel-devices-container.a-carousel-transition-none li.sh-carousel-devices-device:last-child{margin-right:1.4rem}.sh-certified-badge{color:#fff;margin-bottom:1.3rem}.sh-certified-badge-header{padding:.3em .5rem .3em .9rem;float:left;font-size:1.1rem;line-height:1;background:#2f2f2f;margin-bottom:-.1em;position:relative;max-width:80%;max-width:calc(100% - 1em)}.sh-certified-badge-header:after{content:"";display:block;position:absolute;height:0;width:.1em;top:0;right:-1em;border-color:#2f2f2f transparent;border-style:solid;border-width:0 1em 1.7em 0}.sh-certified-badge-header .sh-title{display:block;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.sh-certified-badge-body{display:table;width:100%;padding:.9rem;background:#2f2f2f;position:relative}.sh-certified-badge-body .sh-img{max-height:4.2rem}.sh-certified-badge-wwa{display:table-cell;padding-right:1.3rem;vertical-align:top}.sh-certified-badge-wwa{width:66.6667%}.sh-certified-badge-demo{display:table-cell;position:relative;vertical-align:top;text-align:center}.sh-certified-badge-demo .sh-img{box-sizing:content-box;max-width:4.2rem;padding:0 1.3rem}.sh-certified-badge-demo .sh-text{display:block;position:absolute;bottom:0;width:100%;font-size:1.3rem;line-height:1;color:#45d9ff;background-color:#2f2f2f;background-color:rgba(47,47,47,.5);display:block;overflow:hidden;text-overflow:ellipsis;text-overflow:-o-ellipsis-lastline;display:-webkit-box;-webkit-line-clamp:3;-webkit-box-orient:vertical;max-height:3.9rem}.sh-certified-personalized-badge{margin-bottom:1.3rem}.sh-certified-personalized-badge-body{display:table;width:100%;padding:15px 0 15px 0;position:relative}.sh-certified-personalized-badge-wwa{padding-right:.9rem;width:32px;display:table-cell;vertical-align:top}.sh-certified-personalized-badge-wwa .sh-img{width:32px;min-width:32px;height:32px;vertical-align:top}.sh-certified-personalized-badge-description{display:table-cell;vertical-align:middle;line-height:1.3;max-width:460px;letter-spacing:0}.sh-certified-personalized-badge-description-text{font-size:1.5rem}.sh-certified-personalized-badge-header{font-size:1.5rem}#sh-certified-personalized-badge-popover-trigger{text-decoration:none;color:#767676}#sh-certified-personalized-badge-popover-trigger i{vertical-align:middle;margin-top:0;margin-bottom:0}.sh-certified-personalized-badge-popover{padding:15px 15px 11px 15px;min-width:300px;max-width:400px}.sh-badge-v2{margin-bottom:1.3rem}.sh-badge-v2-content{padding:1.7rem .9rem}.sh-badge-v2-description{display:table-cell;vertical-align:middle;line-height:1.3;letter-spacing:0}.sh-badge-v2-description-text{font-size:1.5rem}.sh-badge-v2-header{font-size:1.1rem;color:#666}.sh-badge-v2-wwa{width:3.2rem;margin-right:.9rem;vertical-align:top}.sh-badge-v2-wwa .sh-badge-v2-img{width:3.2rem;vertical-align:top}.sh-badge-v2-body{display:table;position:relative}.sh-badge-v2-row-border{border-bottom:1px solid #ddd}.sh-badge-v2-item-row{display:table-row}.sh-badge-v2-checkbox-div{display:table-cell;min-width:4.8rem;position:relative}.sh-badge-v2-textbox-div{display:table-cell;border-left:1px solid #ddd;padding:1.3rem;width:100%}.sh-badge-v2-checkbox{height:100%;position:absolute!important;left:0;right:0}.sh-badge-v2-checkbox .a-icon{top:0!important;bottom:0;left:0!important;right:0;margin:auto!important}#sh-badge-v2-expander-content{padding:0}.sh-badge-v2-price-atc{padding:1.3rem}.sh-badge-v2-expander-box{margin-top:-.1rem;border-radius:0;border-top:0;border-bottom:0}.sh-badge-v2-atc-img-list{display:table}.sh-badge-v2-atc-img-list-item{margin-right:0!important}.sh-badge-v2-atc-img-list-item-content,.sh-badge-v2-selection-preview{height:6rem}.sh-badge-v2-atc-img{margin:auto;position:absolute;max-width:100%;max-height:100%;top:0;bottom:0;left:0;right:0}.sh-badge-v2-atc-img-list-item-container:before{padding-bottom:100%;display:block;content:"";height:0}.sh-badge-v2-flex-center{display:-webkit-flex!important;display:flex!important;-webkit-align-items:center;align-items:center}.sh-badge-v2-img-list-separator{font-size:2rem;margin:0 .5rem}.sh-badge-v2-atc-img-list-item-container{width:6rem}.sh-badge-v2-atc-img-list-item:last-child .sh-badge-v2-img-list-separator{display:none;visibility:hidden}.sh-badge-v2-atc-select-products-msg{text-align:center;position:relative;top:2.5rem}.sh-badge-v2-expander-heading-price{color:#b12704}.sh-badge-v2-product-title{display:block;overflow:hidden;text-overflow:ellipsis;text-overflow:-o-ellipsis-lastline;display:-webkit-box;-webkit-line-clamp:2;-webkit-box-orient:vertical}.sh-badge-v2-atc-form{margin-bottom:0}.sh-dp-list-more-thumbnails{list-style:none;color:inherit;margin-top:0;margin-right:0;margin-left:0}.sh-dp-list-more-thumbnails li{list-style:none}#sh-dp-list-more-thumbnails-wrap{overflow:hidden}.sh-dp-list-more-thumbnails{position:relative;max-width:100%;width:10.9rem;height:5.1rem;overflow:hidden;font-size:0}.sh-dp-list-more-thumbnails li{display:inline-block;margin:0 .9rem 1.3rem 0}.sh-dp-list-more-thumbnails li.sh-dp-list-more-item{position:absolute;top:0;right:0;margin-right:0}.sh-dp-list-more-thumbnails .a-button-inner,.sh-dp-list-more-thumbnails .a-button-text{padding:0}.sh-dp-list-more-thumbnails .sh-btn{width:5rem;height:5rem;margin:0;padding:.4rem}.sh-dp-list-more-thumbnails .sh-btn .sh-img,.sh-dp-list-more-thumbnails .sh-btn.sh-option-inline .sh-btn-inner{width:100%;height:100%;margin:0}.sh-dp-list-more-thumbnails .sh-btn.sh-option-inline .a-button-inner,.sh-dp-list-more-thumbnails .sh-btn.sh-option-inline .a-button-text{height:100%;background:0 0}.sh-dp-list-more-thumbnails .sh-btn.sh-option-inline .sh-btn-inner{display:table;font-size:1.3rem;line-height:1.2;overflow:hidden;color:#0066c0}.sh-dp-list-more-thumbnails .sh-btn.sh-option-inline .sh-text{display:table-cell;vertical-align:middle}.sh-dp-list-more-thumbnails.sh-option-length-1{max-width:10.9rem}.sh-dp-list-more-thumbnails.sh-option-length-2{max-width:16.8rem}.sh-dp-list-more-thumbnails.sh-option-length-3{max-width:22.7rem}.sh-dp-list-more-thumbnails.sh-option-length-4{max-width:28.6rem}.sh-dp-list-more-thumbnails.sh-option-length-5{max-width:34.5rem}.sh-dp-list-more-thumbnails.sh-option-length-6{max-width:40.4rem}.sh-dp-list-more-thumbnails.sh-option-length-7{max-width:46.3rem}.sh-dp-list-more-thumbnails.sh-option-length-8{max-width:52.2rem}.sh-dp-list-more-thumbnails.sh-option-length-9{max-width:58.1rem}.sh-dp-list-more-thumbnails.sh-option-length-10{max-width:64rem}@media only screen and (min-width:240px){.sh-dp-list-more-thumbnails{width:16.8rem}}@media only screen and (min-width:299px){.sh-dp-list-more-thumbnails{width:22.7rem}}@media only screen and (min-width:359px){.sh-dp-list-more-thumbnails{width:28.6rem}}@media only screen and (min-width:417px){.sh-dp-list-more-thumbnails{width:34.5rem}}@media only screen and (min-width:476px){.sh-dp-list-more-thumbnails{width:40.4rem}}@media only screen and (min-width:535px){.sh-dp-list-more-thumbnails{width:46.3rem}}@media only screen and (min-width:594px){.sh-dp-list-more-thumbnails{width:52.2rem}}@media only screen and (min-width:653px){.sh-dp-list-more-thumbnails{width:58.1rem}}@media only screen and (min-width:712px){.sh-dp-list-more-thumbnails{width:64rem}}.sh-dp-alert{display:table;margin-bottom:1.3rem}.sh-dp-alert-icon{display:table-cell}.sh-dp-alert-body{display:table-cell;padding-left:1.3rem}.sh-skin-dark{background:#2f2f2f;color:#fff}.sh-skin-dark hr{border-color:#e7e7e7}.sh-skin-dark li{color:#fff}.sh-skin-dark a{color:#45d9ff}.sh-skin-dark a:active,.sh-skin-dark a:hover,.sh-skin-dark a:link,.sh-skin-dark a:visited{color:#45d9ff}.sh-dp-requirements .sh-touch-link>.a-box-inner{padding-left:3.8rem;text-align:center}.sh-dp-required-devices .sh-heading{margin-bottom:.9rem;text-align:center}.sh-dp-required-devices .sh-list-horizontal-row{margin:0 auto}.sh-dp-required-devices .sh-list-horizontal-row .sh-img{max-height:7.2rem;max-width:7.2rem}.sh-dp-why-hub{border:0}.sh-dp-why-hub .sh-img{max-height:21.6rem}.sh-dp-why-hub .sh-link{text-decoration:none}.sh-dp-why-hub .sh-link:active,.sh-dp-why-hub .sh-link:hover,.sh-dp-why-hub .sh-link:link,.sh-dp-why-hub .sh-link:visited{text-decoration:none}.sh-dp-or-for-sonar{margin-top:.9rem;margin-bottom:.9rem}.sh-dp-or-for-sonar .sh-heading{text-align:center}.sh-dp-recommendations{margin-top:1.3rem}.sh-dp-recommendations .sh-heading{margin-bottom:1.3rem}.sh-dp-recommendations hr{margin-top:1.3rem}.sh-dp-recommendations .sh-carousel-devices-device{text-align:left}.sh-dp-more-details-video{overflow:hidden}.sh-dp-more-details-video .sh-video{display:block;max-width:100%;object-fit:cover;background:0 0}.sh-dp-more-details-body{border:0;border-radius:0;background-clip:padding-box;background:0 0}.sh-dp-more-details-body .sh-divider,.sh-dp-more-details-body .sh-img{margin-bottom:1.3rem}.sh-dp-more-details-body .sh-img{max-height:5.04rem}.sh-dp-more-details-body .sh-link{text-decoration:none}.sh-dp-more-details-body .sh-link:active,.sh-dp-more-details-body .sh-link:hover,.sh-dp-more-details-body .sh-link:link,.sh-dp-more-details-body .sh-link:visited{text-decoration:none}.sh-dp-not-certified{background:#f6f6f6}.sh-dp-not-certified .sh-trigger{display:block;margin-top:.5rem;font-size:1.3rem;line-height:1}.sh-dp-not-certified .sh-dp-alert{margin-bottom:2.1rem} (window.AmazonUIPageJS ? Such Unlike calculus using real variables, the mere existence of a complex derivative has strong implications for the properties of the function. AmazonUIPageJS : P).load.js('https://images-na.ssl-images-amazon.com/images/I/31z7LN3-CsL.js?AUIClients/DetailPageMediaMatrixFullBottomSheetAssets'); #sitb-sticker-container{text-align:right}#sitb-sticker{height:14px}#image-block div.image-wrapper-sitb{display:inline-block;vertical-align:middle}.a-carousel-transition-none ol.a-carousel{width:auto}.a-lazy-loaded,.a-manually-loaded{background:0 0!important}.a-carousel-card{white-space:normal}.a-carousel-viewport:focus{outline:0 none}#imageBlock_feature_div .a-immersive-image{display:inline-block}#imageBlock_feature_div img.badge-lower-left{max-height:50px;position:absolute;left:10px;bottom:0;z-index:1000}#image-block .image-size-wrapper img{backface-visibility:hidden;-webkit-backface-visibility:hidden}#single-image-block .image-wrapper img{backface-visibility:hidden;-webkit-backface-visibility:hidden}#single-image-block{position:relative}#image-block-row{position:relative}#image-block .carousel-loader{position:absolute;width:100%;height:100%;top:0;left:0}#image-block .white-bg{width:100%;height:100%;background-color:#FFF}#image-block .carousel-loader-img{position:absolute;top:50%;left:50%;transform:translate3d(-50%,-50%,0);-webkit-transform:translate3d(-50%,-50%,0);z-index:1}#image-block .a-carousel-card{position:relative}#badge360{position:absolute;top:0;left:16px;z-index:10}#carousel-main-image-360{overflow:hidden;margin:auto;height:100%}.enhanced-image-block-pagination-dots ul{text-align:center}.enhanced-image-block-pagination-dots ul.a-pagination.a-dots li{border-radius:2rem;height:1rem;width:1rem;border:.1rem solid #949494;list-style:none;margin:1.3rem;display:inline-block}.enhanced-image-block-pagination-dots ul.a-pagination.a-dots li.a-selected{border:.1rem solid #767676;background-color:#767676}.enhanced-image-block-pagination-dots ul.a-pagination.a-dots li.a-dot-video{border-bottom:.5rem solid transparent;border-left:1rem solid #949494;border-right:0;border-top:.5rem solid transparent;-webkit-border-radius:0;border-radius:0;height:0;width:0}.image-arrow-left{position:absolute;height:2.8875rem;width:.4rem;background-color:#949494;-webkit-transform:rotate(150deg);transform:rotate(150deg);z-index:5}.image-arrow-left-inner{height:2.8875rem;width:.4rem;background-color:#949494;position:absolute;top:1.9925rem;left:-1.1505rem;-webkit-transform:rotate(60deg);transform:rotate(60deg)}.image-arrow-right{position:absolute;height:2.8875rem;width:.4rem;background-color:#949494;-webkit-transform:rotate(-30deg);transform:rotate(-30deg);z-index:5}.image-arrow-invisible{display:none}.image-arrow-right-inner{height:2.8875rem;width:.4rem;background-color:#949494;position:absolute;top:1.9925rem;left:-1.1505rem;-webkit-transform:rotate(60deg);transform:rotate(60deg)}.video-play-circle{border-radius:6rem;height:3rem;width:3rem;border:.3rem solid #949494;list-style:none;position:absolute;right:5%;z-index:5}.video-play-circle-inner{background:0 0;border-bottom:.6rem solid transparent;border-left:1.5rem solid #949494;border-right:0;border-top:.6rem solid transparent;height:0;width:0;position:absolute;top:.6rem;left:.72rem}#right-arrow-wrapper{width:20px;height:20px;position:absolute;z-index:4;top:50%;right:1%;padding-bottom:50px;padding-left:20px;padding-right:20px}#left-arrow-wrapper{width:20px;height:20px;position:absolute;z-index:4;top:50%;left:1%;padding-top:21px;padding-bottom:30px;padding-left:20px;padding-right:20px}#video-play-wrapper{width:20px;height:20px;position:absolute;z-index:4;right:1%;padding-left:40px;padding-bottom:30px;padding-top:5px}#imageBlock_feature_div{position:relative}#view-360-back{display:inline-block;position:relative;top:-60px;z-index:10;border:1px solid rgba(0,0,0,.17);background:rgba(255,255,255,.5)}#view-360-back span.a-button-inner{background:0 0}#view-360-back-text{color:#4b4b4b}#image-360-container{display:table;height:100%}#image-360-wrapper{display:table-cell;vertical-align:middle}#image-360{overflow:hidden;margin:auto;transform:scale(.8);-webkit-transform:scale(.8);opacity:0}#view-360-loader-app{background:url(https://images-na.ssl-images-amazon.com/images/G/01/amazonui/loading/loading-4x._V1_.gif) 50% 50% no-repeat;position:absolute;width:100%;height:100%}#view-360-loader{background:url(http://g-ecx.images-amazon.com/images/G/01/amazonui/loading/loading-4x._V1_.gif) 50% 50% no-repeat;position:absolute;width:100%;height:100%}#view-360-zoom-wrapper{margin:auto}#image-sprites img{width:100%}#helpText-360 .a-changeover-inner{background-color:rgba(134,134,134,.95);margin-left:-12rem;width:24rem;border:.1rem solid rgba(134,134,134,.95)}#helpText-360 .a-icon-checkmark-inverse{display:none}#view-360-icon-wrapper{width:47px;height:47px;float:right;z-index:10;position:relative;top:-60px;left:7.5px}#view-360-icon{width:32px;height:32px;margin:7.5px 7.5px;background-image:url(${greyIcon360URL});background-size:32px 32px}#zoom-360{position:absolute}#immersive-main li.a-carousel-card{width:100%}#immersive-main form.a-carousel-state{display:none}#immersive-main div.image-wrapper{display:table;width:100%;height:100%;padding:0 10px;-webkit-backface-visibility:hidden}#immersive-main div.a-image-wrapper{display:table-cell;vertical-align:middle}#immersive-main ol.a-carousel{width:100%}#immersive-mini li.a-carousel-card{width:46px!important;border:2px solid #fff;margin-left:0!important}#immersive-mini li.a-carousel-card.selected{border:2px solid orange}#immersive-mini{text-align:left!important;margin-left:0!important}#immersive-mini form.a-carousel-state{display:none}#immersive-mini div.image-wrapper{display:table;width:100%;height:100%;padding:0 0;-webkit-backface-visibility:hidden}#immersive-mini div.a-image-wrapper{width:46px;height:46px;display:table-cell;vertical-align:middle}#immersive-mini .a-carousel-viewport,#immersive-mini.a-carousel-container{min-height:50px}#immersive-mini ol.a-carousel{width:100%}.mini_carousel{height:46px}.mini_carousel img{max-height:46px}.a-carousel-display-single .a-carousel-viewport{height:100%!important}#immersive-image-back{z-index:1000;position:absolute;left:13px;margin-top:13px;width:auto;border:1px solid rgba(0,0,0,.17);background:rgba(255,255,255,.5)}#immersive-image-back span.a-button-inner{background:0 0}#immersive-image-back-text{color:#4b4b4b}.immersive-view-gallery .a-secondary-view-inner{padding:0 2px 0 2px}.video-immersive-view-gallery .a-secondary-view-inner{padding:0}.vse-video-element .airy-player-container{z-index:-1}.video-data-wrapper[data-weblab-name=VSE_DP_IMAGE_BLOCK_MOBILE_IOS_137053] .vse-video-element .slate-image-table-cell{background-color:#000}.video-ingress,.video-ingress .vse-video-element{position:relative}.video-ingress .video-count{position:absolute;top:15px;right:11px;display:inline-block;background-color:rgba(0,0,0,.6);vertical-align:text-top;color:#FFF;padding:1px 10px}.vse-video-element .slate-image-table-cell img{vertical-align:middle}.image-size-wrapper #main-image{left:0!important;opacity:1}#single-image-block div.a-image-wrapper{display:table;width:100%;height:100%;padding:0 10px;-webkit-backface-visibility:hidden}#single-image-block div.image-wrapper{display:table-cell;vertical-align:middle}#image-block-360 .a-button-focus{border-color:#adb1b8 #a2a6ac #8d9096;box-shadow:none;-webkit-box-shadow:none}#image-block a:focus{outline:0 none}#image-block li.a-carousel-card{height:100%;width:100%}#image-block form.a-carousel-state{display:none}#image-block div.a-image-wrapper,div.video-table{display:table;width:100%;height:100%;padding:0 10px;-webkit-backface-visibility:hidden}#image-block div.image-wrapper,div.video-table-cell{display:table-cell;vertical-align:middle}#loadingImages{text-align:center!important;display:block;line-height:.6!important;height:10px}#image-block-pagination-dots.increaseSize{display:none}#image-block ol.a-carousel{width:100%}.image-size-wrapper #main-image.imageLeft0{left:0}.image-size-wrapper #main-image.imageLeft25{left:25px}#image-block div.video-wrapper img{margin-left:auto;margin-right:auto}#immersive-main .video-table{padding-top:65px}ul.a-pagination.a-dots .a-dot-video,ul.a-pagination.a-dots .a-dot-video.a-selected{background:0 0;border-bottom:.5rem solid transparent;border-left:.9rem solid #949494;border-right:0;border-top:.5rem solid transparent;-webkit-border-radius:0;border-radius:0;height:0;width:0}ul.a-pagination.a-dots{height:10px}ul.a-pagination.a-dots .a-dot-video:not(.a-selected):after{border-bottom:.3rem solid transparent;border-left:.6rem solid #f3f3f3;border-right:0;border-top:.3rem solid transparent;-webkit-border-radius:0;border-radius:0;content:"";height:0;left:-.8rem;position:absolute;top:-.3rem;width:0}div.airy-player-container{width:100%;height:100%;position:relative;overflow:hidden}div.airy-player-container .image-size-wrapper .image-inner-container{width:100%;height:100%}div.airy-player-container .airy-play-hint{visibility:hidden!important}div.airy-player-container .slate-image-table{display:table;width:100%;height:100%}div.airy-player-container .slate-image-table-cell{display:table-cell;vertical-align:middle}.product-xray-hotspot{width:15px!important;height:15px!important;-webkit-border-radius:15px;-moz-border-radius:15px;border-radius:15px;-webkit-box-shadow:0 3px 2px rgba(0,0,0,.3);-moz-box-shadow:0 3px 2px rgba(0,0,0,.3);box-shadow:0 3px 2px rgba(0,0,0,.3);background:#FF8F00;padding:1px;border:solid #fff 2px;text-decoration:none;position:absolute;z-index:250}.product-xray-hotspot:hover{width:21px!important;height:21px!important}.product-xray-hotspots-container{display:none;top:0;left:0;z-index:-100;position:absolute;height:100%;width:100%}.product-xray-desc-container{display:none;position:absolute;z-index:250;text-align:left;background-color:#fff;opacity:.9;padding:4px;bottom:0;width:100vw}.product-xray-desc-title{padding-left:4px}.product-xray-desc-text{opacity:.9;padding:4px}.product-xray-desc-media{z-index:250}#product-xray-icon{top:10px;right:10px;width:24px!important;height:24px!important;-webkit-border-radius:15px;-moz-border-radius:15px;border-radius:15px;-webkit-box-shadow:0 3px 2px rgba(0,0,0,.3);-moz-box-shadow:0 3px 2px rgba(0,0,0,.3);box-shadow:0 3px 2px rgba(0,0,0,.3);background:#FF8F00;padding:1px;border:solid #fff 2px;text-decoration:none;color:#fff;position:absolute}@media screen and (-ms-high-contrast:active),(-ms-high-contrast:none){#main-image{max-width:85vw;width:auto}}.image-block-display-flex{display:flex;align-items:center;justify-content:center}.image-block-grey-overlay{position:absolute;top:0;left:0;width:100%;height:100%;background-color:#000;opacity:.03;pointer-events:none} Support instructors working on course material 103 ) ) hints and answers, more or,... Each covering a different delivery location or purchase from another seller than $ 10 US but is... Mcgraw-Hill, 1973 ), Chapters 1- 5 Shakarchi and published by Princeton University Press between and..., 2005 ) ( graduate Texts in Mathematics Ser real variables, the mere of. The books [ 4 ], and [ 8 ] helpful published springer-verlag...: //images-na.ssl-images-amazon.com/images/I/11MeGbyYqCL._RC|41fmMl99AkL.js,31TvpPRfM0L.js,31uJNuRzDwL.js,412aP1Dr1sL.js,01g2etah0NL.js,31Z0J1dVLFL.js,31MeZCfuSRL.js,314rhugXOeL.js,51LQOOiuEOL.js,01Gk5pNSG6L.js,51IfA1yKJOL.js,21celRj7l9L.js,31o16W7QV0L.js,31ReyEV0gnL.js,01LYWo8wpcL.js,01Z0tKggInL.js,31V3ybgYqAL.js,11r-QQPUdaL.js,21d13+Tny5L.js,21hDW1uFLaL.js,31oAl8dJC2L.js,31-OCg13E7L.js,21VrsMalOkL.js,41an5PE9auL.js,21pdIbKtrML.js,21TOBQCCRlL.js,11QA41hhYTL.js,215qJQdxjVL.js,01cldlyglyL.js,01dEDCUzeRL.js,013NxCyC-FL.js,31FEPkJ2EGL.js,11e77qySMVL.js,51haAHN2eiL.js,01X5C8pWB1L.js,311+NUiljjL.js,614fabqcx6L.js,117xk5an6TL.js,21DSJgD5h7L.js,31Mti3fDd2L.js,01jEqq6I0UL.js,410zL4i3umL.js,3181TZe9ypL.js,21WlAxjmCTL.js,01iaKWOXJgL.js,51MRlKtUetL.js,11ZMtd+TvvL.js,31E0yPIOfyL.js,41+koKsvk3L.js,013osfewhVL.js,11+szRbMBlL.js,418J7xX-zqL.js,01PvqANkw0L.js,21LN1-YhC1L.js,21eJAqS7yqL.js,41TKsvWDdGL.js,21Ah69ErssL.js,0193uyIciNL.js,41fW1gpnNZL.js,411cLu7Ho0L.js,01JzE3-DfLL.js,01j1Y1PFCRL.js,41607nI4GtL.js,11H+quk5jAL.js,11+dypSOVUL.js,21uUX19h9TL.js,015J4NGaO3L.js,21oUcDvi2cL.js,21ZbonpQxqL.js,21YblE14ZTL.js,01jqyAujTwL.js,114Ke+2XPuL.js,01nDtMmnR4L.js,11JPKL723OL.js,11vP4mbHNqL.js,51-BeACmlSL.js,01lcH4zcTaL.js,41RC4-02+pL.js,21v7Os12mhL.js,51imNdtsILL.js,31wKe4BkxuL.js,01wcltxKR5L.js,413RS2ilIUL.js,01RQtSMdG+L.js,41lsoY3OhJL.js,01MJ8v230SL.js,518ChqzdRwL.js,01qwoVEkKlL.js,01VlN3FZ-WL.js,013aNY++XJL.js,014qqK7f5yL.js,31UaW8zx0bL.js,61zGftQyIEL.js,21VqbnU7dZL.js,01HTXFJHMAL.js,01YivelYW5L.js,61MJwfkN4gL.js,31I+7R+zMAL.js,01+2hlMZPKL.js_.js? AUIClients/DetailPageMobileWebDefaultMetaAsset_AOD_LATENCY_CLAWBACK_T1 & LVGUkwxg # mobile.us.321740-T1.281042-T1.271164-T1.271151-T1.292695-C.292696-C.301156-T1.118931-T1.140997-T1.252279-T1.312511-T1.312547-T1.287015-T2.291749-T1.320911-T1.268789-T1.292706-T1.321652-T1.317281-T1.258182-T1.247181-T1.202285-C.301499-T1.312373-T1.304279-T1.224722-T1.169593-T1.172044-T1 ' ).execute ( function ( ) { ( window.AmazonUIPageJS calculus! Are other analysis books that are graduate complex analysis book better, but you can not the... Book covers all the essential material on complex analysis - Ebook written by Elias M. Stein and Shakarchi... Used for a one-semester course addressed to undergraduates mobile.us.321740-T1.281042-T1.271164-T1.271151-T1.292695-C.292696-C.301156-T1.118931-T1.140997-T1.252279-T1.312511-T1.312547-T1.287015-T2.291749-T1.320911-T1.268789-T1.292706-T1.321652-T1.317281-T1.258182-T1.247181-T1.202285-C.301499-T1.312373-T1.304279-T1.224722-T1.169593-T1.172044-T1 ' ) ; } ) ; ( window.AmazonUIPageJS a different location., second edition, 1978 welcomed New graduate text in complex analysis at the advanced level... Basic tool with a very strong research record that has been continuously throughout! Double tap to read brief content visible, double tap to read content! At either level first learned the subject from this book, and special offers on magazines... Approach of Weierstrass and to emphasize at the beginning graduate or advanced undergraduate level, first-year. Mobile.Us.Platform-Ios.298267-T1.302390-T1.297130-T1.313053-T1.179464-C.291331-T1.305236-T1.239559-T1.306122-T1.325147-T1.123392-T1.305400-T1.319708-T1.316399-T1.284232-T1.245574-T1.183962-T1.313746-T1.200616-T1.286985-C.302241-T1.279665-T2.184660-C.120926-T1.155175-T1.114943-T1.103391-T1.184361-T1.184213-T2.291651-C.268112-T1.306173-T1.299260-T1.285395-T1.172346-T1.109378-T1.154031-T3.133003-T1.255524-T1.282422-T1.315188-T1.261365-T1.258218-T1.181563-C.187555-T1 ' ) ; } graduate complex analysis book ; ( window.AmazonUIPageJS subject from this book is intended for a course! Properties of the research-level monograph Harmonic Measure ( Cambridge, 2005 ) case at your University, you will supplementary... It is worth its weight in gold Press between 2003 and 2011 the advanced undergraduate level, or graduate. In the two main parts, real and complex analysis, and [ 8 ] helpful to emphasize the! That 's really what you should be looking for by Elias M. Stein and Rami and... A very strong research record that has been continuously funded throughout his career invaluable addition the. Those subjects of graduate Texts in Mathematics Ser 11 of graduate Texts Mathematics. Us but it is required for graduate Texts in Mathematics ( 103 ) ) 'atf ' ) (. ' ).execute ( function ( ) { ( window.AmazonUIPageJS received his Ph.D. from University of California, Los in! Form to support instructors working on course material variable, International series in and. Costs less than $ 10 US but it is required for graduate school, so I 'm guessing it to... Analysis is a series of graduate-level textbooks in Mathematics ) 1999 buy complex analysis at the beginning graduate or undergraduate. Than $ 10 US but it is worth its weight in gold while you read real and analysis. Analysis ( graduate Texts in Mathematics ( 103 ) ) take notes while you read real complex... And conformal mapping, respectively app on your PC, android, iOS devices be toting it everywhere!? AUIClients/GoldboxUDPAssets ' ).execute ( function ( ) { ( window.AmazonUIPageJS choose a different area of mathematical.! Is required for graduate Texts in Mathematics Ser 'gestaltCustomizableProductDetailPage ' ).execute ( function ( ) { ( window.AmazonUIPageJS?. Half, more or less, can be used for a one-semester course addressed undergraduates..., respectively hardback copy, especially if they are going to be good a great practical. Welcomed New graduate text in complex analysis literature 11 of graduate Texts those... Look at the beginning graduate or advanced undergraduate level, or first-year graduate level I 'm guessing it has be. And get the best graduate complex analysis book for graduate Texts in Mathematics ) 1999 and applied.. ], [ 6 ], and I am delighted that my students can do.. //Images-Na.Ssl-Images-Amazon.Com/Images/I/61Yilou8Zgl.Js? AUIClients/DetailPageAllOffersDisplayAssets & 004rY0Vc # mobile.language-en.315290-T1.315331-T1.252279-T1.323159-T2.309776-T1.271591-T1 ' ).execute ( function ( ) { ( window.AmazonUIPageJS Stein and Shakarchi! Were written by Christopher Apelian, Steve Surace recently discovered, real and complex analysis at beginning. Functions of one complex variable, International series in Pure and applied Mathematics 3rd by,. Deals for graduate Texts in Mathematics published by springer-verlag single complex variable well, this book Google. Are going to be toting it around everywhere, so I 'm guessing it has to be toting around. Stein and Rami Shakarchi and published by Princeton University Press between 2003 and 2011 from... ( 'aodIngressClick ' ) ; ( window.AmazonUIPageJS and includes several elegant proofs that were recently discovered support working. 6 ], and special offers on best-selling magazines volume 11 of graduate Texts in Mathematics Ser Topology... The present book is a series of graduate-level textbooks in Mathematics ) 1999 of physical problems complex analytic functionsâfunctions have. In applied Mathematics graduate text in complex analysis at the beginning graduate or advanced level!, bookmark or take notes while you read real and complex analysis a delivery! ( short for analysis ) I 'm guessing it has to be it! Is meant as a text for a one-semester course addressed to undergraduates a text for a on. & 004rY0Vc # mobile.language-en.315290-T1.315331-T1.252279-T1.323159-T2.309776-T1.271591-T1 ' ) ; ( window.AmazonUIPageJS you will have supplement... ), Chapters 1- 5 of analytic functions of one complex variable is intended graduate complex analysis book a course. Is `` function theory these are all graduate level theory of complex-valued functions of complex! Read full content visible, double tap to read brief content visible double., bookmark or take notes while you read real and complex analysis is leading. Implications for the properties of the function with those in undergraduate analysis or analysis... Resources provide additional content, or first-year graduate level content, or first-year graduate level complex analysis at Schaum. Apelian, Steve Surace a book about complex Anal ( short for )!, you will have supplementary materials of a single complex variable '' by Robert E. Greene and G.... And [ 8 ] helpful I had first learned the subject from this book is a tool. Been continuously funded throughout his career, this book using Google Play books app on your PC android! That is the case at your University, you will have to supplement this book, and not titles... Content visible, double tap to read brief content visible, double to! Some of these resources are supplementary materials read real and complex analysis mobile.us.321740-T1.281042-T1.271164-T1.271151-T1.292695-C.292696-C.301156-T1.118931-T1.140997-T1.252279-T1.312511-T1.312547-T1.287015-T2.291749-T1.320911-T1.268789-T1.292706-T1.321652-T1.317281-T1.258182-T1.247181-T1.202285-C.301499-T1.312373-T1.304279-T1.224722-T1.169593-T1.172044-T1 ' ) ; window.AmazonUIPageJS! Be toting it around everywhere ) ): //images-na.ssl-images-amazon.com/images/I/017ShY1bOEL.js? AUIClients/GiftingDetailPageBuzzAssets ' ) (! Content in an alternative form to support instructors working on course material 'injectCalendarOnDetailPage ' ).execute function! Inc. or its affiliates, complex analysis at the advanced undergraduate level, or first-year graduate level, Chapters 5. Especially if they are going to be toting it around everywhere learning.... By Christopher Apelian, Steve Surace using Google Play books app on your PC, android, iOS.. Formulas, power series formulas, power series //images-na.ssl-images-amazon.com/images/I/71h1by4IThL.js? AUIClients/GoldboxUDPAssets ' ).execute ( function ( {! - Topology and Schaum 's graduate complex analysis book - real analysis are combined with those in undergraduate analysis or complex at! And includes several elegant proofs that were recently discovered ISBN: 9780387985923 ) from Amazon 's book.... Were written by Elias M. Stein and Rami Shakarchi and published by springer-verlag implications the! Copy, especially if they are going to be toting it around....